left ideal

If I is a left ideal of R then rI⊆I for any r isin R.

(algebra) A subset of a ring which is closed under left-multiplication by any element of the ring.


right ideal

If I is a right ideal of R then Ir⊆I for any r isin R.

(algebra) A subset of a ring which is closed under right-multiplication by any element of the ring.


two-sided ideal

en-noun

two-sided ideal (plural two-sided ideals)

(algebra) A subset of a ring which is both a left ideal and a right ideal. Commonly referred to simply as an ideal, but referred to as two-sided ideal for emphasis.


principal ideal

principal ideal (plural principal ideals)

(algebra) An ideal I in an algebraic object R (which could be a ring, algebra, semigroup or lattice) that is generated by a given single element a ∈ R; the smallest ideal that contains a.

two-sided principal ideal

smallest ideal that contains a given element


principal ideal domain

principal ideal domain (plural principal ideal domains)

(algebra) An integral domain in which every ideal is a principal ideal.


ochdamh

Borrowed from Scottish Gaelic ochdamh (“eighth”), from Old Irish ochtmad, from Proto-Celtic *oxtūmetos.

(Scotland, historical) An obsolete Scots unit equal to ¹⁄₈ daugh, notionally comprising 50 Scottish acres.


noneven

(graph theory) Of a digraph, having no cycles of even weight


nonodd

(rare, mathematics, of an integer) Even, not odd.


superparticular number

superparticular number (plural superparticular numbers)

2/1, 3/2, 4/3 and 8/7 are all superparticular numbers.

(mathematics) A number in the form of a ratio where the dividend equals the divisor plus one.


utilon

However, you have to realize that you should measure the costs and payoffs in utilons, not in dollars. $1 is almost infinitesimally small (in utilons), while $1M payoff is huge - it is perfectly rational to buy the ticket.

2011 November 13, Radovan Garabík, “In support of Keith”, in rec.arts.sf.fandom (Usenet), message-ID <j9o6m2$4kf$1@speranza.aioe.org>:

A trader or trading firm having zero wealth, I've already said, should be considered infinitely bad. So therefore assign -∞ utilons to zero wealth. Conversely, infinite wealth should probably have infinity utilons, though large numbers might behave oddly.

2019 June 18, Agustin Lebron, The Laws of Trading: A Trader's Guide to Better Decision-Making for Everyone, Hoboken, New Jersey: John Wiley & Sons, →ISBN, page 63:

(economics) A hypothetical unit measuring satisfaction.


identically zero

If a holomorphic function f(z) approaches zero as z#92;to#92;infty, then f is identically zero.

(mathematics, of a function) Being equal to the zero function and not merely zero at a particular point in its domain.


LM

However, from the perspective of work on language technology, it is far from clear that all of the effort being put into using large LMs to ‘beat’ tasks designed to test natural language understanding, and all of the effort to create new such tasks, once the existing ones have been bulldozed by the LMs, brings us any closer to long-term goals of general language understanding systems.

2021 March 3, Emily M. Bender, Timnit Gebru, Angelina McMillan-Major, Shmargaret Shmitchell, “On the Dangers of Stochastic Parrots: Can Language Models Be Too Big? 🦜”, in Proceedings of the 2021 ACM Conference on Fairness, Accountability, and Transparency, Virtual Event Canada: ACM, →DOI, →ISBN, pages 610–623:

(machine learning) Initialism of language model.


box and whiskers plot

box and whiskers plot (plural box and whiskers plots)

(statistics) A graphical summary of a numerical data sample through five statistics — median, upper quartile, lower quartile, and upper extreme and lower extreme values — by depiction as a box with its edges at the quartile marks and an internal line at the median and with lines protruding from the box as far as the extremal values.


square kilometre

square kilometre (plural square kilometres)

Located at the southern end of the exercise area, Wuqiu Dao consists of two islets - Daqiucun [Dachiu-tsun^([sic – meaning Tachiu-tsun])] and Xiaoqiucun [Hsiaochiu-tsun] with each covering approximately one square km.

[1996 March 21 [1996 March 18], Jixiong (0149 2623 7160) He, “There Is a Feeling of Insecurity on Jinmen, Mazu, and Other Islands”, in Daily Report: China, numbers 96-056, Foreign Broadcast Information Service, →ISSN, →OCLC, page 75, column 2:

Standard unit of area, symbol km², equal to the area of a square whose sides are one kilometre long; 10⁶ square metres.


truti

At every moment of time — i.e., in every Truti — there are millions of Trutis — perfect organisms — in space. This may require some explanation. The units of time and space are the same — a Truti. Take any one Truti of time. It is well known […]

1897, Rāma Prasāda, The Science of Breath and the Philosophy of the Tattvas, page 80:

The Surya-Siddhanta (1.10-21) differentiates kala (time) primarily in two forms (i) murtakala (real time) and (ii) umurtakula (unreal time), taking prdna (4 seconds) and truti (atom) as the smallest units respectively, whereas Bhaskara II in his […]

1988, Kapila Vatsyayan, Bettina Bäumer, Kalātattvakośa: A Lexicon of Fundamental Concepts of the Indian Arts, Motilal Banarsidass Publishe, →ISBN, page 219:

(2 1-3),, we have 1 atom (truti ?) of time =6 paramanukalas (atom times) But from table (2.1-7), we have 1 truti =18 paramanukalas (atoms times), and 1 trasarenu =6 paramankalas (atoms times) Therefore it appears that an atom (truti ?) of time […]

(Hinduism) A unit of time equal to about 30 microseconds.


nonlattice

(mathematics) Not of or pertaining to a lattice.


nonproper

a nonproper subset

a nonproper noun


Caesar cipher

From its supposed use by Julius Caesar to communicate with his generals.

A simple form of encryption in which each letter in the plaintext is shifted through the alphabet a number of positions (for example A→D, B→E, C→F, etc.).


invariantly

In a manner that is invariant (without variation).

(mathematics) In a manner that is invariant; unaffected by some operation.


exotic sphere

A manifold (of any dimension) homeomorphic to a sphere but not diffeomorphic to the standard sphere.


Gaussianity

Gaussianity (usually uncountable, plural Gaussianities)

(mathematics) The condition of being Gaussian.

(mathematics) The extent to which something is Gaussian.


subgrid

(mathematics, physics) Describing any parameter measured on a scale smaller than the grid used to plot it


dihedral angle

Any two dihedral angles are to one another as the angles contained by perpendiculars drawn as in the last proposition.

1830, Pierce Morton, Geometry, Plane, Solid and Spherical, London: Baldwin and Cradock, page 136:

The remaining dihedral angles are the source of essentially all the interesting variability in protein conformation.

1981, Jane S. Richardson, “The Anatomy and Taxonomy of Protein Structure”, in C. B. Afinson, John T. Edsall, Frederic M. Richards, editors, Advances in Protein Chemistry, volume 34, page 173:

The significance of small dihedral angles is readily apparent in Fig. 6.20, where the shape of the intersection is shown for angles of 10° and 1°.

2009, Reza Abbaschian, Lara Abbaschian, Robert E. Reed-Hill, Physical Metallurgy Principles, Cengage Learning, page 176:

(geometry) The angle between two planes.


bispectrum

(mathematics) A statistic used in the study of nonlinear interactions.


conifold

(mathematics) A certain generalization of a manifold, capable of containing conical singularities.


cinquefoil

From Old French cinqfoil, from cinq (“five”) + foil (“leaf”).

(topology) A particular knot of five crossings.


eikonal

partial differential equation
partial differential equation

(physics, mathematics) Describing the properties of a class of partial differential equation encountered in descriptions of wave propagation.


frequentist

(mathematics) An advocate of frequentism.


frequentist

en-adj

frequentist (comparative more frequentist, superlative most frequentist)

more frequentist (comparative)
most frequentist (superlative)

(mathematics) Of or pertaining to frequentism.


hypercomplex

(mathematics) Describing any of several types of higher-dimensional numbers having some characteristics of complex numbers.


superintegrable

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(mathematics) Describing an integrable condition that has more integrals of motion than degrees of freedom


biharmonic

(mathematics) Describing a class of fourth-order partial differential equations which arises in areas of continuum mechanics


bordism

(mathematics) The property of two closed manifolds whose disjoint union is the boundary of a compact manifold


resummation

en-noun

resummation (countable and uncountable, plural resummations)

(mathematics, physics) A procedure to obtain a finite result from a divergent sum (series) of functions, involving the integral transformation of another (convergent) function in which the individual terms defining the original function are rescaled.


nonsquare

Thus, suppose 2b — 2s and — 2b — 2s are nonsquares modulo p.

2008, Lindsay N Childs, A Concrete Introduction to Higher Algebra:

(mathematics) A number that is not a square (second power).


hyperparameter

this model has four hyperparameters

The exact interpretation of these hyperparameters becomes clearer once you have seen their role in the posterior and, hence, we defer a deeper discussion of prior elicitation until the next section.

2003, Gary Koop, Bayesian Econometrics, John Wiley & Sons Ltd., page 19:

(Bayesian statistics) A parameter of a prior (as distinguished from inferred parameters of the model for the underlying system under analysis).

hyperparametri

in Bayesian statistics, a parameter of a prior

The ideal learning algorithm just takes a dataset and outputs a function, without requiring hand tuning of hyperparameters.

2016, Ian Goodfellow, Yoshua Bengio, Aaron Courville, chapter 11, in Deep Learning, MIT Press, →ISBN, page 420:

“Model behaviour is not determined by architecture, hyperparameters, or optimizer choices,” he said, referring to the technical difficulties of training a language model. “It’s determined by your dataset, nothing else. […]”

2024 May 4, Alex Hern, Dan Milmo, quoting James Betker, “Danger and opportunity for news industry as AI woos it for vital human-written copy”, in The Guardian, →ISSN:

(machine learning) A parameter whose value is set before the learning process begins.


superheavy

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semi-infinite

(mathematics, in optimization programming) Involving a finite number of variables but an infinite number of constraints, or vice versa.


semisimple

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(mathematics, algebra, of an algebraic structure) In any of several technical senses, decomposable into sub-objects that have a simple structure.

(category theory, most generally, of an abelian category) Containing a collection of simple objects such that all objects in the category are direct sums of these simple objects.

(module theory, of a module) In which each submodule is a direct summand; equivalently, equal to a direct sum of simple submodules.

(ring theory, of an algebra or ring) Semisimple as a module over itself; equivalently, such that all (left) modules are semisimple.

(of a ring, somewhat proscribed) Semiprimitive: having trivial Jacobson radical.

(linear algebra, of an operator or matrix) For which every invariant subspace has an invariant complement, equivalent to the minimal polynomial being squarefree.

(Lie theory, of a Lie algebra) Being a direct sum of simple Lie algebras.

linear representation
linear representation

simple representation
simple representation

irreducible representation
irreducible representation

(representation theory, of a linear representation of a group or algebra) Being a direct sum of simple representations (also known as irreducible representations).

(group theory, of an algebraic group) Being a linear algebraic group whose radical of the identity component is trivial.


squarefree

(mathematics) Not divisible by a nontrivial square.


dioperad

(mathematics) An operad having multiple inputs and multiple outputs


fiberwise

(mathematics) Of or pertaining to the fiber of a map.


fiberwise

(mathematics) With regard to the fiber of a map.


isogeny

isogeny (countable and uncountable, plural isogenies)

It is clear that if G#95;2 is connected, then two of the defining properties of an isogeny imply the third.

2000, Marc Hindry, Joseph H. Silverman, Diophantine Geometry: An Introduction, Springer, page 95:

2002, Mireille Fouquet, François Morain, Isogeny Volcanoes and the SEA Algorithm, Claus Fieker, David R. Kohel (editors), Algorithmic Number Theory: 5th International Symposium, Proceedings, Springer, LNCS 2369, page 279,
Lemma 2.2 Let E be an elliptic curve such that Z [π] is maximal at 𝓁. If there exists an 𝓁-isogeny of E, then this 𝓁-isogeny is an horizontal 𝓁-isogeny.

2005, Fred Diamond, Jerry Shurman, A First Course in Modular Forms, Springer, page 29,
The dual isogeny of an isomorphism is its inverse. The dual of a composition of isogenies is the composition of the duals in the reverse order. If φ is an isogeny and ̂φ is its dual then the formulas φ(z+Λ)=mz+Λ', φ(z'+Λ')=( operatorname φ/m)z'+Λ show that also
φ∘̂φ=[ operatorname deg(φ)]=[ operatorname deg(̂φ)],
so that φ is in turn the dual isogeny of its dual ̂φ. Isogeny of complex tori, rather than isomorphism, will turn out to be the appropriate equivalence relation in the context of modular forms.

(algebraic geometry, category theory) An epimorphism of group schemes that is surjective and has a finite kernel.


isoparametric

(mathematics) Having the same parameters (under different coordinate systems)


monotonicity

monotonicity (countable and uncountable, plural monotonicities)

(mathematics, physics) The state of being monotonic.

اِطِّرَادُ دَالَّةٍ

mathematics, physics: the state of being monotonic

mathematical analysis
mathematical analysis

(mathematical analysis) Said of a positive measure: the property of a positive measure of a measure space, that given two measurable sets where the first set is contained in the second one, then the measure of the first set must be less than or equal to the measure of the second set.


multifractal

en-adj

multifractal (comparative more multifractal, superlative most multifractal)

more multifractal (comparative)
most multifractal (superlative)

(mathematics) Describing a system that is fractal in multiple ways


noncontextuality

(mathematics, physics) The condition of being noncontextual.


nonnegatively

(mathematics) In a nonnegative manner, or to a nonnegative degree.


overconvergent

overconvergent (comparative more overconvergent, superlative most overconvergent)

more overconvergent (comparative)
most overconvergent (superlative)

(mathematics, physics) Overly convergent


posedness

(mathematics, preceded by well- or ill-) The condition of being posed in the stated manner


quasidynamical

quasidynamical (comparative more quasidynamical, superlative most quasidynamical)

more quasidynamical (comparative)
most quasidynamical (superlative)

(mathematics) Describing a system that has some characteristics of a dynamical system


quasisplit

(mathematics) Describing a polynomial or group etc that has some characteristics of a split system.


quaternionic

(mathematics) Of or pertaining to a quaternion


superprocess

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(mathematics) A form of stochastic process related to diffusion.


tailedness

(mathematics, especially in combination) The condition of a distribution in having a specified form of tail


affinor

(mathematics) A type of higher-order tensor used principally by Jan Arnoldus Schouten


algebroid

(mathematics) An infinitesimal algebraic object associated with a groupoid


algebroid

algebroid (comparative more algebroid, superlative most algebroid)

more algebroid (comparative)
most algebroid (superlative)

(mathematics) Describing algebraic characteristics of groupoids


antifundamental

fundamental representation
fundamental representation

(mathematics) A complex conjugate of a fundamental representation in Lie algebra


arboricity

en-noun

arboricity (countable and uncountable, plural arboricities)

(graph theory) The minimum number of forests into which the edges of an undirected graph may be partitioned.


biholomorphic

(mathematics) Of, pertaining to, or exhibiting biholomorphism


biholomorphism

(mathematics) A bijective holomorphism whose inverse is also holomorphic


bimodule

(mathematics) An abelian group that is both a left and a right module, such that the left and right multiplications are compatible


birational

(mathematics) Describing a rational geometric function that has a rational inverse


catenoid

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(geometry) A three-dimensional surface formed by rotation of a catenary

caténoïde

Three-dimensional surface formed by rotation of a catenary


nilmanifold

(mathematics) A quotient space of a nilpotent Lie group modulo a closed subgroup, or (equivalently) a homogeneous space with a nilpotent Lie group acting transitively on it.


submatrix

submatrix (plural submatrixes or submatrices)

submatrixes (plural)
submatrices (plural)

(mathematics) A matrix formed by selecting certain rows and columns from a larger matrix.


supermatrix

supermatrix (plural supermatrixes or supermatrices)

supermatrixes (plural)
supermatrices (plural)

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(mathematics) The larger matrix from which a submatrix is derived.


torsor

(mathematics) A principal homogeneous space for a group, such that the stabilizer subgroup of any point is trivial.


coanalytic

(mathematics) Describing the complement of an analytic set or other mathematical entity


cochain complex

cochain complex (plural cochain complexes)

(mathematics) A particular form of a chain complex


chain complex

boundary homomorphism
boundary homomorphism

(algebraic topology) A sequence of Abelian groups (or modules), together with a sequence of homomorphisms (called boundary homomorphisms) between consecutive groups, such that the image of one homomorphism is contained in the kernel of the next.


commensurator

(mathematics) The number by which two commensurable numbers are divisible an integral number of times


counterterm

(mathematics) A term added to an equation or formula that exactly cancels the contribution of another term which diverges.


covariantization

(mathematics) The process of covariantizing.


covariantize

en-verb

covariantize (third-person singular simple present covariantizes, present participle covariantizing, simple past and past participle covariantized)

covariantizes (present singular third-person)
covariantizing (participle present)
covariantized (participle past)
covariantized (past)


cuboctahedral

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(geometry) Of, pertaining to, or having the form of a cuboctahedron


dualize

dualize (third-person singular simple present dualizes, present participle dualizing, simple past and past participle dualized)

dualizes (present singular third-person)
dualizing (participle present)
dualized (participle past)
dualized (past)

(transitive, sciences, mathematics) To make dual, to find or consider the dual item of a given one.

(transitive, mathematics) To impose a dual structure on a family of objects so that it becomes possible to take a dual.


functorial

en-adj

functorial (comparative more functorial, superlative most functorial)

more functorial (comparative)
most functorial (superlative)

(category theory) Of or pertaining to a functor

náttúrlegur

category theory: pertaining to a functor


heteroclinic

(mathematics) Describing a path between two points of equilibrium


homoclinic

(mathematics) Describing a path that starts and ends at the same point of equilibrium


hyperfinite

approximately finite dimensional
approximately finite dimensional

(mathematics) Both finite and approximately finite dimensional


hypermatrix

en-noun

hypermatrix (plural hypermatrixes or hypermatrices)

hypermatrixes (plural)
hypermatrices (plural)

(mathematics) A generalization of a matrix to a multidimensional array


inapproximable

en-adj

inapproximable (comparative more inapproximable, superlative most inapproximable)

more inapproximable (comparative)
most inapproximable (superlative)


infinitary

(mathematics, logic) Of or pertaining to expressions of infinite length


maxitive

(mathematics) Describing a certain class of nonnegative functions of countable disjoint sets


nestohedron

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generalized permutahedron
generalized permutahedron

(geometry) For a building set B, the Minkowski sum of the simplices Δ_S as S ranges over B. (Here Δ_S is the standard simplex of S, i.e., the convex hull of the (nonzero endpoints of the) standard unit vectors eᵢ for i in S.) Every nestohedron is a generalized permutahedron.


noncommutativity

(mathematics) The condition of being noncommutative.


oscillaton

Einstein–Klein–Gordon equation
Einstein–Klein–Gordon equation

(mathematics) A spherically-symmetric solution to an Einstein–Klein–Gordon equation


prepotential

(mathematics) A vector superfield in supersymmetry theory


unimodular

(mathematics, of a lattice or matrix) Having a determinant of 1 or -1.


projectivization

Let us consider the vector space T#95;p. Its projectivization #123;PT#125;#95;p, is a projective space, which is obtained from T#95;p, by factorization relative to the collinearity of vectors. The projectivization #123;PT#125;#95;p is a set of straight lines, passing through the point p. Under projectivization, the cone C(2,r) becomes a manifold S(1,r-1) of dimension r.

1992, Maks A. Akivis, Alexander M. Shelekhov, translated by Vladislav V. Goldberg, Geometry and Algebra of Multidimensional Three-Webs, Springer, page 11:

1997, M. E. Alferieff (translator), Alexei Kostrikin, Yuri Manin, Linear Algebra and Geometry, Gordon and Breach Science Publishers, Paperback, page 233,
Therefore, the projectivization P(f) is determined only on the complement U_f=P(L)P( ker f).

The projectivization of a two-dimensional irregular equation (1.1) is a holomorphic vector field on #92;mathbbP¹#92;times#92;left#92;#123;#92;vertt#92;vertlt;1#92;right#92;#125; having a pair of singularities on the fiber #92;mathbbP¹#92;times 0 (which correspond to the eigenlines of the matrix A(0), the coordinate lines in our case).[…]Now the preceding corollary applied to the family of projectivizations says that the horizontal separatrices converge to the sectorial separatrices of the projectivized nonperturbed equation.

2004, Alexey Glutsyuk, “Confluence of singular points and Stokes phenomena”, in Yulij Ilyashenko, Christiane Rousseau, Gert Sabidussi, editors, Normal Forms, Bifurcations and Finiteness Problems in Differential Equations, Kluwer Academic, page 290:

(mathematics, algebraic geometry, birational geometry) A process (more formally, a mapping) that, given a vector space, specifies an associated projective space; (loosely) the projective space so specified.


quasideterminant

(mathematics) The equivalent of a determinant in matrices that have noncommutative entries


quasipolynomial

(mathematics) A generalization of a polynomial


quasipositive

(mathematics) Describing a matrix, all of whose elements are nonnegative except for those on the main diagonal


domeshaped

domeshaped (comparative more domeshaped, superlative most domeshaped)

more domeshaped (comparative)
most domeshaped (superlative)


rateless

(mathematics) Describing a family of codes whose higher rate codes have codewords that are prefixes of those of the lower rate codes.


rederive

en-verb

rederive (third-person singular simple present rederives, present participle rederiving, simple past and past participle rederived)

rederives (present singular third-person)
rederiving (participle present)
rederived (participle past)
rederived (past)

(mathematics, physics) To derive again, especially by using a different method


resummed

(mathematics) Obtained using resummation


semicontinuity

(mathematics) The condition of being semicontinuous


semidefinite

(mathematics) Describing a bilinear form, over a vector space, that is either always positive or always negative.


semidirect

It follows from 2° that σ induces the action homomorphism θ = σπ₁, which we call semidirect. We say that σ is a homomorphic transformation of (A, U).
If θ is the semidirect action homomorphism, then it follows from 1° that the θ-module is the semidirect sum ^𝔇 of (A^× U^×) and (B, V).

1971, Transactions of the Moscow Mathematical Society, page 261:

2002, Joseph J. Rotman, Advanced Modern Algebra, American Mathematical Society, Graduate Studies in Mathematics, Volume 114, 2nd Edition, page 761,
A semidirect product is so called because a direct product G of K and Q requires, in addition to K + Q = G and K ∩ Q = {1}, that both subgroups K and Q be normal (Proposition 1.86); here, only one subgroup must be normal.

Problem 37. A semidirect sum of Lie algebras is a Lie algebra.

2012, Arkadij L. Onishchik, Ernest B. Vinberg, Lie Groups and Algebraic Groups, page 37:

(mathematics, group theory) That has the nature of, or has a nature that derives from or is analogous to, a semidirect product.


semilinear

(mathematics) Describing equations involving both linear and nonlinear objects

(mathematics) Having characteristics intermediate between linear and nonlinear


semistable

(mathematics) Describing a form of elliptic curve having congruent roots


sextic

(mathematics) Of the sixth degree or order.


sextic

(mathematics) An algebraic equation or function of the sixth degree, e.g. a polynomial of degree 6; a curve surface etc. describing such an equation or function, especially a quantic of the sixth degree.


stationarity

en-noun

stationarity (countable and uncountable, plural stationarities)

(mathematics) The condition of a series in which the value at all points is the same; the stationary value itself


subequation

(mathematics) An equation that forms part of another.


supercircle

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(geometry) A special case of a superellipse having equal semimajor and semiminor axes.


superization

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(physics, mathematics) The extension of a manifold to a supermanifold


supertransformation

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(mathematics) The formation of a supertransform


supertransform

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(mathematics) The transform of a supermeasure.


symplectomorphism

In prequantizing symplectomorphisms of the type T^*g, the only special property which we used was the fact that they preserve canonical 1-forms.

1977, Alan Weinstein, Lectures on Symplectic Manifolds, American Mathematical Society, page 34:

2001, A. Dzhamay, G. Wassermann (translators), V. I. Arnol'd, A. B. Givental' Symplectic Geometry, V. I. Arnol'd, S. P. Novikov (editors), Dynamical Systems IV: Symplectic Geometry and its Applications, Springer, 2nd Edition, page 39,
Poincare's argument is based on the fact that the fixed points of a symplectomorphism of the annulus are precisely the critical points of the function F(x,y)=∫(fdv-gdu), where u=(X+x)/2, v=(Y+y)/2, true under the assumption that the Jacobian ∂(u,v)/∂(x,y) is different from zero.

2008, Ana Cannas da Silva, Lectures on Symplectic Geometry, Springer, 2nd printing with corrections, page 63,
The symplectomorphisms of a symplectic manifold (M,ω) form the group
Sympl(M,ω)={f:M overset ≃⟶M|f^*ω=ω}.

(mathematics) An isomorphism of a symplectic manifold; a diffeomorphism which preserves symplectic structure.


tracial

(mathematics) Of or pertaining to the trace of a projection.


trimaximal

(mathematics, of a function) Having three maxima


tricategory

(mathematics) A higher-dimensional form of category


umbilic

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isocrystalline

(mathematics) Of or pertaining to an isocrystal


confidence interval

confidence interval (plural confidence intervals)

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(statistics) A range defined such that there is a fixed probability that the value of the measured parameter will fall within the range.

interval de confiança

a particular kind of interval estimate of a population parameter


antihole

(graph theory) Clipping of graph antihole.


graph antihole

(mathematics) The complement of a graph hole


graph hole

(mathematics) A cycle, in a graph, that has no cycle chord


cycle chord

(mathematics) A chord of a graph cycle, one of whose endpoints is not a vertex.


edge set

(mathematics) The set of all the edges of a graph


two-stage least squares
w:two-stage least squares

(statistics) Initialism of two-stage least squares.


square wave

(calculus, engineering, signal processing) A function or waveform that alternates regularly and instantaneously between two levels.


PCA

principal components analysis
w:principal components analysis

(statistics) Abbreviation of principal components analysis.


chair conformation

chair conformation (plural chair conformations)

(organic chemistry) the most stable chemical conformation of a six-member single bonded carbon ring such as cyclohexane


eigensolution

(mathematics) Any of the results of the calculation of eigenvalues

eiginlausn

mathematics: any of the results of the calculation of eigenvalues


gigaparsec

(astronomy) An astronomical unit of distance equal to 10⁹ parsecs.


indecomposability

(mathematics) The condition of being indecomposable


intertwiner

(mathematics) A mapping between two equivariant maps


isovector

(mathematics) A form of vector associated with isospin


metadynamics

(mathematics, computing, physics, chemistry) An algorithmic method of simulating rare complex systems and for calculating the free energy associated with them


orthomodular

(mathematics) Describing a lattice with the property that its every orthogonal pair is modular.


scalelength

(mathematics, physics) The length of a scale


subfigure

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(geometry) A figure (geometric form) that is part of another.


mediant

From Italian mediante, from Latin mediānt- (“being in the middle”), present active participle of mediō (“I am in the middle”), from medius (“middle”), from Proto-Italic *meðios, from Proto-Indo-European *medʰyo- (“between”).

For any tangent pair of Ford circles corresponding to rational numbers r and s, the Ford circle tangent to both of them corresponds to the rational number which is the mediant of r and s.

(mathematics) A rational number whose numerator is the sum of the numerators of two other given rational numbers and whose denominator is the sum of the denominators of those same two other rational numbers.


anticommutation

(mathematics) The inverse of a commutation


bialgebra

(mathematics) A particular form of vector space that is a compatible form of two algebras.


lightlike

en-adj

lightlike (comparative more lightlike, superlative most lightlike)

more lightlike (comparative)
most lightlike (superlative)

(mathematics) (of a four-vector) Having a space component whose magnitude is equal to its time component multiplied by the speed of light.

lichtartig

having a space component equal to its time component multiplied by the speed of light


picobarn

(physics) A unit of surface area equal to 10⁻¹² barns.


profinite

(mathematics) Describing certain topological groups formed from finite groups


reachability

en-noun

reachability (countable and uncountable, plural reachabilities)

(countable, mathematics) The extent to which a node in a graph is reachable from others


Kirby calculus

After Robion Kirby (born 1938), American topologist.

(mathematics) A method in geometric topology for modifying framed links in the 3-sphere using a finite set of moves (the Kirby moves).


semimartingale

(mathematics) A form of probability process that is the sum of a martingale and another form of process


studentized

(statistics) Obtained using a Student's t-test.


studentizing

(statistics) The use of a Student's t-test


supertranslation

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(mathematics) A translation of a superalgebra


ultralocal

en-adj

ultralocal (comparative more ultralocal, superlative most ultralocal)

more ultralocal (comparative)
most ultralocal (superlative)

(mathematics, physics) Whose properties are influenced by its immediate neighbours only


baker's half dozen

From baker's dozen (“thirteen, one more than a dozen”) by analogy, hence “seven, one more than a half dozen.

(idiomatic, uncommon) Seven, a group of seven.


tidgy

tidgy (comparative more tidgy, superlative most tidgy)

more tidgy (comparative)
most tidgy (superlative)

[…] all we could scrape up was jobs selling things for tidgy little firms that weren't big enough to be mopped up into any of the nationalisation schemes...

'It's only a tidgy one,' he said. 'Nobody in Huguenot seems very impressed.'

'She says Indian elephants are tidgy little things.' 'They're not then.' Emma was getting heated. 'They're– ' 'Emma!' said Jenny sharply. The child subsided.

2001, Eric Malpass, At the Height of the Moon:

I was going to let him have one in the tidgy triangle below the throat like Suze taught me, but everything stopped at the sound of Paulie retching.

2008, Jim Cartwright, Supermarket supermodel:


entrywise

(mathematics, of an operation on one or more matrices) Performed independently on each matrix entry.


monofractal

(mathematics) Describing a system that is fractal in only one way.


monofractal

(mathematics) A system that is fractal in only one way.


pseudospectral

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(mathematics) Describing a class of numerical analysis methods related to spectral methods


superpolynomial

superpolynomial (comparative more superpolynomial, superlative most superpolynomial)

more superpolynomial (comparative)
most superpolynomial (superlative)

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(computing, mathematics) Describing an algorithm whose execution time is not limited by a polynomial


cylindricity

en-noun

cylindricity (countable and uncountable, plural cylindricities)

LL-Q1860 (eng)-Flame, not lame-cylindricity.wav

(uncountable, geometry) The quality of being cylindrical.

(countable, geometry) A three-dimensional geometric tolerance that controls how much a feature can deviate from a perfect cylinder.


trispectrum

(mathematics) A certain type of statistic used to analyze nonlinear interactions


underfit

en-verb

underfit (third-person singular simple present underfits, present participle underfitting, simple past and past participle underfitted)

underfits (present singular third-person)
underfitting (participle present)
underfitted (participle past)
underfitted (past)

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(statistics) To use a statistical model that has too few parameters relative to the size of the sample.


s.t.

Given r s.t. rlt;n...

(mathematics) Abbreviation of such that.


cantellation

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(geometry) An operation in any dimension that cuts a regular polytope at its edges and at its vertices, creating a new facet in place of each edge and of each vertex.


abelianization

(mathematics) A homomorphism that transforms a group into an abelian group.


antifield

(mathematics, physics) Opposed to a field


coordinatization

(mathematics) The application of coordinates to a system


geometrodynamics

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(physics) Any of several reformulations of general relativity that attempt to describe spacetime and associated phenomena completely in terms of geometry.


orbifolded

(mathematics) Converted into an orbifold


pseudosphere

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(geometry) A surface generated by rotating a tractrix about its asymptote; a tractricoid

(geometry) Any of various surfaces with constant negative Gaussian curvature.


superderivation

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(mathematics) A derivation within a superalgebra


biconnected

(graph theory) Describing a connected graph from which two vertices must be removed for it to become disconnected.


desingularization

en-noun

desingularization (countable and uncountable, plural desingularizations)

(mathematics) Any of several techniques used to resolve a singularity.


multigrid

We will give a systematic introduction to basic multigrid. Our intention is to give sufficient detail on multigrid for model problems […]

2001, Ulrich Trottenberg et al., Multigrid, Academic Press.:

differential equation
differential equation

(mathematics, computing) A class of techniques for solving algebraic or differential equations that employs a hierarchy of discretizations


multigrid

(mathematics, computing) Relating to or utilising a multigrid method.


multicollision

a multicollision attack

(cryptography) Involving multiple hash collisions.


supercategory

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The parent category that contains a subcategory.


outerplanar

(graph theory) Having a planar embedding such that the vertices lie on a circle and the edges lie inside that circle.


projectivity

projectivity (countable and uncountable, plural projectivities)

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(mathematics) The condition of being projective.

projective transformation
projective transformation

(geometry) projective transformation, homography


subexponential

en-adj

subexponential (comparative more subexponential, superlative most subexponential)

more subexponential (comparative)
most subexponential (superlative)


disjointness

(mathematics) The condition of being disjoint


eigenphase

(mathematics) A phase that is the result of an eigenfunction


extremality

en-noun

extremality (countable and uncountable, plural extremalities)

(mathematics) The condition of being extremal


subbase

(mathematics) A certain subcollection of a topological space

esikanta

a certain subcollection of a topological space


subderivative

(mathematics) A generalization of the notion of a derivative, defined as the slope of a line that either touches, or is everywhere below the line of a convex function.


superstatistics

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statistical mechanics
statistical mechanics

(mathematics, physics) A branch of statistical mechanics that studies certain nonlinear systems


topologized

(mathematics) Characterized as a topology


Apollonian circle

Apollonian circle (plural Apollonian circles)

(geometry) Any circle in two families of circles such that every circle in the first family intersects every circle in the second family orthogonally and vice versa.


coassociative

(mathematics) Describing the relationship, in a coalgebra, that is the dual of an associative one.


cocommutative

(mathematics) Describing the relationship, in a coalgebra, that is the equivalent of a commutative one.


parallelizability

(mathematics, computing) The condition of being parallelizable.


periodogram

(mathematics) A graph used in the harmonic analysis of spectra, time series etc.


projectability

(mathematics) The condition of being projectable


projectable

(mathematics) Able to form a projection.


superconnection

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(mathematics) A form of supermatrix in gauge mathematics


varifold

(mathematics) A certain generalization of a differentiable manifold


comeasurable

(mathematics, of sets) Having the same or comparable measures


disassortative

en-adj

disassortative (comparative more disassortative, superlative most disassortative)

more disassortative (comparative)
most disassortative (superlative)

(mathematics) Describing a graph (or network) in which nodes of low degree are more likely to connect with nodes of a high degree


microradian

A unit of angle equal to one millionth of a radian.


orthonormality

en-noun

orthonormality (countable and uncountable, plural orthonormalities)

(mathematics) The condition of being orthonormal


pseudoproper

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(mathematics) Describing any system that has some proper characteristics.


rangefree

(mathematics) That is not dependent on a range


superplane

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In this paper the authors reconsider the Dirac brackets for fermionic coordinates in the context of quantum deformations of the superplane.

1998, Mathematical Reviews, Mathematical Association of America:


biquinary

(mathematics) Employing, or relating to, an arithmetical system and notation in which each decimal digit is represented by a coefficient of five and a coefficient of one


bidegree

(mathematics) An extension of the degree (or order) of a polynomial in certain geometries


superuniversal

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(mathematics) Having a value that is independent of dimension


unimodality

Coordinate term: bimodality

(mathematics) The condition of being unimodal.

The condition of being unimodal.
The condition of being unimodal.


megaparsec

(astronomy) An astronomical unit of distance equal to 1 million parsecs.


bigraded

(mathematics) indexed by a pair of integers


bihamiltonian

(mathematics) Describing any system that may be described by a pair of hamiltonian structures


bimetric

(mathematics, physics) Describing any system that may be described using two metrics.


cepstrum

From a reversal of the first syllable of the word spectrum.

inverse Fourier transform
Fourier transform

(signal processing) The inverse Fourier transform of the logarithm of a magnitude spectrum; used especially in voice analysis.

kepstri

Fourier transform of the logarithm of a spectrum


eigencoefficient

(mathematics, physics) Any of the coefficients of an eigenstate.


hemiellipse

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(geometry) A shape obtained by cutting an ellipse in half along one of its axes


majorization

(mathematics) A preorder on vectors of real numbers.


multibody

(mathematics, physics) Involving multiple, interacting bodies


resolvent

From Latin resolvens, present participle of resolvere: compare French résolvant. See resolve.

(mathematics) An equation upon whose solution the solution of a given problem depends.


subcycling

(mathematics, computing) An algorithmic technique involving integration with progressively smaller steps


superdevelopment

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In contrast to developments, a superdevelopment from a term M allows not only residuals of redexes in M to be reduced but also some newly created ones.

2010, Eduardo Bonelli, Pablo Barenbaum, “Superdevelopments for Weak Reduction”, in (Please provide the book title or journal name):

(mathematics) A particular form or development


supermartingale

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If a gambler repeatedly plays a game with negative expectation, his payoff over time is a supermartingale.

With these assumptions, something amazing occurs: Euler inequality (1.3.3) implies that the marginal utility of consumption is a nonnegative supermartingale. [emphasis in original]

2018, Lars Ljungqvist and Thomas J. Sargent, Recursive macroeconomic theory, 4th edition, MIT Press, page 6:

(mathematics) A stochastic process for which the conditional expectation of future values given the sequence of all prior values is bounded above by the current value.


dianalytic

(mathematics) Describing a function that is analytic or antianalytic with regards to both the domain and codomain


malnormal

(mathematics) Of, pertaining to, or exhibiting malnormality


pseudocorrelation

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(mathematics) An approximation to a cross-correlation made using Monte Carlo methods


anticenter

cyclic quadrilateral
cyclic quadrilateral

(mathematics) The point of concurrence of the four maltitudes of a cyclic quadrilateral


coboundary

(mathematics) The image of a submodule of a cochain


comultiplication

comultiplication (countable and uncountable, plural comultiplications)

(mathematics) The equivalent of multiplication in a coalgebra.


antikink

Sine–Gordon equation
Sine–Gordon equation

(mathematics) A negative 1-soliton solution to the Sine–Gordon equation

antikink

a negative 1-soliton solution to the Sine–Gordon equation


overcomplete

(mathematics) Describing a frame (in linear algebra) having a set of functions more than a basis


quasiconformal

(mathematics) Nearly, but not quite, conformal


repellor

(mathematics) A repelling set having a dense orbit


superstable

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(mathematics) Describing a theory that is k-stable for all sufficiently large cardinals k.


covariable

(statistics) Possibly predictive of the outcome under study.


superreal

en-adj

superreal (comparative more superreal, superlative most superreal)

more superreal (comparative)
most superreal (superlative)

LL-Q1860 (eng)-Flame, not lame-superreal.wav

(mathematics) Of or pertaining to the superreal numbers, a generalization of the hyperreal numbers.


homography

en-noun

homography (countable and uncountable, plural homographies)

/həʊˈmɒɡɹəfɪ/

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A homography on a real projective plane can be specified by a mapping from one set of four non-collinear points to another set of four non-collinear points. Given such a specification, then the 3-by-3 homography matrix may be computed by means of the DLT (Direct Linear Transformation) algorithm.

(geometry) An isomorphism between projective spaces that maps straight lines to straight lines.


equicontinuity

(mathematics) The condition of being equicontinuous.


equicontinuous

(mathematics, of a family of functions) Such that all members are continuous, with equal variation in a given neighborhood.


expansivity

expansivity (usually uncountable, plural expansivities)

(mathematics) The formal notion of points moving away from one another under the action of an iterated function.


horospherical

(mathematics) Of or pertaining to a horosphere


pretzelosity

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(mathematics, physics) The condition of having the knotted form of a pretzel


word problem

(mathematics) A question of whether an element of a certain group (or monoid or the like) is the identity, given an obscure representation of that element.


chronogeometry

(physics, mathematics) A form of relativistic geometry in which time is considered as a form of spatial coordinate


cyclotomics

(mathematics) The branch of mathematics concerned with the complex roots of unity; cyclotomy.


equifrequency

(mathematics, physics) Having, or concerning the same frequencies


heliosynchronous

A heliosynchronous orbit is an orbit [around the Earth] whose plane precesses by [a little less than] one degree a day around the line of the poles, thus keeping the same position in relation to the Earth-Sun line.

1987, Pierre Lellouche, Satellite warfare: a challenge for the international community, Institut français des relations internationales, United Nations Institute for Disarmament Research, United Nations:

Describing an orbit around the Earth where each passage in the same direction along a given latitude will occur throughout the year at the same true solar time.


quasilocal

en-adj

quasilocal (comparative more quasilocal, superlative most quasilocal)

more quasilocal (comparative)
most quasilocal (superlative)

(mathematics) Describing a ring that is not Noetherian


quasimeromorphic

(mathematics) Describing a mapping that has some characteristics of a meromorphic one


holomorphy

en-noun

holomorphy (countable and uncountable, plural holomorphies)

When Hayden began to refer to “a hodgepodge of crypto-archaeology and numerology, holomorphy and brane cosmology, past-life regression and conspiracy-theory paranoia” as “my work,” Miles realized that he needed to be his brother’s keeper.

2009 August 20, Janet Maslin, “Who Are These People? Well, That Depends”, in New York Times:

(mathematics) holomorphic functions (or their study)


invertibility

From invertible + -ity, from Latin invertibilitas.

(mathematics, especially of a function or matrix) The condition of being invertible.


medoid

(mathematics) A mathematically representative object in a set of objects; it has the smallest average dissimilarity to all other objects in the set.


superseparability

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(mathematics, physics) The condition of being superseparable


superseparable

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(mathematics, physics) separable in many different ways


conoid

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(geometry) A Catalan surface all of whose rulings intersect some fixed line

A parabolic conoid is a paraboloid; an elliptic conoid is an ellipsoid.

(geometry) A solid formed by the revolution of a conic section about its axis


polymatroid

(mathematics) A particular form of polytope


autotransformation

autotransformation (countable and uncountable, plural autotransformations)

autotransformations of the hypergeometric functions

(mathematics) A transformation such that the distribution of the mapped values is the same as the distribution of the original values.


multicategory

(mathematics) A generalization of the concept of category that allows morphisms of multiple arity.


semialgebraic

(mathematics) Describing any algebraic system in which only real roots are investigated.


superoperator

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(mathematics, physics) A linear operator acting on a space of linear operators


supersolvable

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(mathematics) Describing a group having an invariant normal series where all the factors are cyclic groups


ultraproduct

(mathematics) A quotient of the direct product of a family of structures


wallcrossing

(mathematics) A discontinuous change across a codimension wall of marginal stability.


punctured interval

punctured interval (plural punctured intervals)

(mathematics) A neighborhood of a point in a space with an order, minus the point itself.


Generation Z

Using Z as the letter that follows Y, as in Generation Y.

And to our wonderful tribe of Generation Zs and Alphas for whom we are so grateful: Acacia, Jasper, Zari, Brighton and Corban – it is an honour to call you our children.

2021, Mark McCrindle, Generation Alpha: Understanding Our Children and Helping Them Thrive, Hachette Australia, →ISBN:

One key reason Generation Zs have suffered the highest job losses is that they are disproportionately represented in industries that have had the most number of layoffs and furloughs and are more likely to be in entry-level jobs and/or serve as hourly workers.

2021, Annabel Beerel, Rethinking Leadership: A Critique of Contemporary Theories, Routledge, →ISBN:

In comparison, Generation Zs are the first generation to grow up with the Internet in their pocket (e.g. cell phones and smartphones) with constant access to the online world, creating a sense of immediacy for information and contact.

2022, Heidi Weigand, Heather Mackinnon, Erica Weigand, Jessica Hepworth, “Intergenerational Stories of Kindness: A Catalyst for Bouncing Back”, in Michelle Thomason, editor, Kindness in Management and Organizational Studies (Kindness at Work), Emerald Publishing, →ISBN, page 134:


centrosymmetry

(mathematics) The property of having a centre of symmetry.

lárshiméadracht

the property of having a centre of symmetry


cubically

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hexatetrahedron

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(geometry) A cube truncated by two tetrahedra


subgroupoid

(mathematics) A subset of a groupoid closed under inversion and composition.


bicharacteristic

(mathematics) Describing a line of tangency of two characteristics


coend

(mathematics) The dual of an end in category theory.


commensurizer

(mathematics) That which makes something commensurable


comonad

(mathematics, category theory) A monad of the opposite category.


hermiticity

(mathematics) the condition of being Hermitian


multicomplex

en-adj

multicomplex (comparative more multicomplex, superlative most multicomplex)

more multicomplex (comparative)
most multicomplex (superlative)

(mathematics, not comparable) Of or relating to a class of number systems relating to the imaginary numbers. See Multicomplex number on Wikipedia.


ultrametric

(mathematics) Describing a metric whose triangle inequality has the stronger form d(x,z)< max d(x,y),d(y,z).

ultrametric

describing a particular form of metric space


bicomponent

(graph theory) A component having two nodes.


nonmatrix

(mathematics) Not of or pertaining to a matrix.


monodendron

(mathematics) A maximal connected subgraph of a dendrimer that shares only the coalescence node with a core.


antipersistent

(mathematics) Describing a stochastic process that has a negative correlation between its increments.

antipersistente

having a negative correlation between its increments

(mathematics) Describing a time series that reverses itself more often than normal.


arclength

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bicritical

(mathematics) Describing a graph, the removal of two of whose vertices leaves a subgraph the edges of which can be coloured with only three colours


convexify

en-verb

convexify (third-person singular simple present convexifies, present participle convexifying, simple past and past participle convexified)

convexifies (present singular third-person)
convexifying (participle present)
convexified (participle past)
convexified (past)


deprojection

en-noun

deprojection (countable and uncountable, plural deprojections)

(mathematics) The reverse process of a projection, in which the original figure is reproduced.


subgame

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A subgame is a piece of a game—the piece that remains to be played beginning at any point at which the complete history of the game thus far is common knowledge among the players.

1992, Robert Gibbons, A Primer in Game Theory, Prentice-Hall, page 94:

(game theory) A subset of a game that can be considered a game in its own right.


multigerm

(mathematics) A set of germs of a function that have distinct sources and a common target.


multichain

multichain Markov chain

(probability theory) Of a Markov chain, consisting of two or more closed sets of recurrent states plus (optionally) a set of states that do not belong to any of the closed sets.


multichain

A multichain with transient states is called a reducible multichain.

2016, Theodore J. Sheskin, Markov Chains and Decision Processes for Engineers and Managers, page 24:

(probability theory) A multichain Markov chain.


nondefective

(mathematics, of a matrix) Diagonalizable, able to be diagonalized.


associator

(algebra) A multilinear map, given by [x, y, z] = xy(z) − x(yz), that measures the degree of nonassociativity of a ring or algebra.

Assoziator

multilinear map measuring the degree of nonassociativity


nilsoliton

(mathematics) A certain type of left-invariant metric on a nilpotent Lie group.


ratelessly

The scheme is decentralized, requiring no co-ordination, and can be operated ratelessly. that is, it can be run indefinitely until successful reception (at which stage that fact is signaled to all nodes, …

2004, Proceedings of the University of Illinois, volume 42, part 1, page 21

Decoding can be done by Gaussian elimination, and the scheme can be operated ratelessly, i.e. it can be run indefinitely until successful reception (at which stage that fact is signaled to other nodes).

2006, Desmond S. Lun et al., “Network Coding in Wireless Networks”, in Frank H. P. Fitzek, Marcos D. Katz, editors, Cooperation in wireless networks: principles and applications:

The derivation relies on the facts that when the source ratelessly broadcasts, the capacities Cs and C1 in the S–D and S–R links, respectively, are approached at the same time, and that when the relay ratelessly transmits toward the destination, the capacity C2 is realized.

2008 November, "Achievable Rates and Fairness in Rateless Coded Relaying Schemes", in the IEEE Transactions on Wireless Communications, volume 7, issue 11 (ISSN: 1536-1276), pages 4439-4444

(mathematics) In a rateless manner; in a manner that employs a rateless code.


shtuka

From Russian шту́ка (štúka, “a single copy; thing”). Doublet of shtick.

bor

(mathematics) A specific generalization of a Drinfel'd module.


summability

en-noun

summability (usually uncountable, plural summabilities)

(mathematics) The condition of being summable.


zonotopic

(mathematics) Of, pertaining to or composed of zonotopes.


isogonal

/ʌɪˈsɒɡənəl/

LL-Q1860 (eng)-Flame, not lame-isogonal.wav


coloop

(combinatorics) An element in a matroid that belongs to no circuit or (equivalently) belongs to every basis.


δ-hyperbolic

(of a topological space) In which every geodesic triangle satisfies that every point on the triangle is within a distance of δ (some constant) of each side of the triangle.


GEO

genetically engineered organism
genetically engineered organism#English

Initialism of genetically engineered organism.


SOM

self-organizing map
self-organizing map#English

(machine learning) Initialism of self-organizing map.


PID

principal ideal domain
principal ideal domain#English

(algebra) Initialism of principal ideal domain.


anticommutator

(mathematics) A function of two elements A and B, defined as AB + BA.

antikommutaattori

a function of two elements A and B, defined as AB + BA


antisymmetry

antisymmetry (countable and uncountable, plural antisymmetries)

(mathematics, set theory) The condition of being antisymmetric.


bifundamental

(mathematics) Describing a tensor product of two representations.


bifundamental

(mathematics) A tensor product of two representations.


biparavector

(mathematics) A particular function of two paravectors.


paravector

(mathematics) A sum (in some algebras) of a scalar and a vector.


cutset

(mathematics) The set of edges (of a cut) whose endpoints are in different subsets of the partition.


argumentless

(mathematics, computing, of a function, constructor, etc.) Without arguments.


hyperchaos

(mathematics) A form of chaotic behaviour with at least two positive Lyapunov exponents


spherium

(physics, mathematics) A model of a form of atom composed of two electrons restricted to the surface of a sphere.


mathematical structure

mathematical structure (plural mathematical structures)

(mathematics) A set together with a collection of mathematical objects such as other sets, relations or operations which endow it with additional structure.


finitary

(mathematics) Of a function, taking a finite number of arguments to produce an output.


staker

Coordinate term: miner

A staker earns a part or the entirety of the transaction fees upon transaction validation. The number of transaction validations allowed for a staker is directly proportional to the amount and duration of their assets on stake.

2020, Kim-Kwang Raymond Choo, Ali Dehghantanha, Reza M. Parizi, editors, Blockchain Cybersecurity, Trust and Privacy, Springer Nature, →ISBN, page 208:

(cryptocurrencies) One who participates in proof of stake.


loglike

en-adj

loglike (comparative more loglike, superlative most loglike)

more loglike (comparative)
most loglike (superlative)

(mathematics) Resembling or characteristic of the log (logarithm) function.


microtile

(mathematics) A very small tile (tesselation)


seminumerical

Generating random numbers is a seminumerical problem.

(computing, mathematics) Having some aspects that are numerical and others that are not.


circumcircle

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(geometry) A circle that passes through every vertex of a given triangle (or other polygon where possible).

circumferència circumscrita

a circle that passes through every vertex of a given polygon


subshift

(mathematics) A set of infinite words representing the evolution of a discrete system, used in symbolic dynamics.


antisymmetrized

(mathematics, physics) Modified by an antisymmetrizer.


polytrope

(mathematics) A particular solution to an equation concerning self-gravitating, polytropic fluid


preconditioner

Furthermore, the multipreconditioned search space is shown to grow only linearly with the number of preconditioners.

2016, Tania Bakhos, Peter Kitanidis, Scott Ladenheim, Arvind K. Saibaba, Daniel Szyld, “Multipreconditioned GMRES for Shifted Systems”, in arXiv:

(mathematics) A matrix that has a smaller condition number than another.


preexponential

(mathematics) Describing any factor that multiplies an exponential function


interior point

(mathematics, topology) A point in a set S that has a neighbourhood which is contained in S.


hemiellipsoid

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(geometry) Either of the halves into which an ellipsoid is divided by a plane of symmetry


diddy

diddy (comparative diddier, superlative diddiest)

diddier (comparative)
diddiest (superlative)

Variant of titty. Attested from the late eighteenth century.

Me mither mend't me auld breeks, / But ay! but they were diddy;

1894, R. Brimley Johnson, editor, Popular British Ballads Ancient and Modern, “Robbie Tamson’s Smiddie”:

There's a pear orchard, and a knot garden, and a diddy little lake that's just big enough to swim in . . . hey, if the weather stays like this, we can have a dip tomorrow.

2013, Angela Woolfe, The Surprising Life of Charlie Glass (size 18 and a Bit), →ISBN, page 380:


regressional

(statistics) Of or pertaining to regression.


decompactification

en-noun

decompactification (usually uncountable, plural decompactifications)

(mathematics, physics) The reverse of a compactification


a hundred and ten percent
a hundred and ten percent#English

Alternative spelling of a hundred and ten percent


superintegrability

superintegrability (countable and uncountable, plural superintegrabilities)

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(mathematics) The condition of being superintegrable.


symmorphic

(mathematics) Describing a space group in which all symmetry operations (apart from translation) leave one common point in a fixed location


quantion

(physics, mathematics) A form of quaternion used to explain the electroweak theory on curved spacetime.


fluid drachm

From Ancient Greek δραχμή (drakhmḗ, “a weight and coin”).

uder

A British unit of volume equal to 60 minims or 3.55 ml.


halfwave

(physics, mathematics) half (especially the positive half) of a sine wave


operatorial

(mathematics) Of or pertaining to an operator


Hertzian

en-adj

Hertzian (comparative more Hertzian, superlative most Hertzian)

more Hertzian (comparative)
most Hertzian (superlative)

Hertzian contact stress

Hertzian wave

Physicists find themselves called in to deal with such varied problems as the reduction of noise in diesel railcars, investigation of the Hertzian stresses set up by wheel-rail contact and improvement of the insulation of fish and banana vans.

1961 February, R. K. Evans, “The role of research on British Railways”, in Trains Illustrated, page 95:

(mathematics) Of or pertaining to Heinrich Hertz and his work.

hertzien

of or pertaining to Heinrich Hertz or his work


keystream

(cryptography) A stream of random or pseudorandom characters that are combined with the plaintext to produce a ciphertext.


column inch

... advertisements, $40 per column inch per year.

1877, Pettengill's newspaper directory and advertisers' hand-book for 1877, page 87:

One mass-circulation Sunday newspaper recently devoted several column inches to an unnecessary weekend working from Stratford to the Essex coast to provide empty stock for an up service that had ceased its high summer running the previous Saturday.

1959 November, “Talking of Trains: The anti-railway prejudice”, in Trains Illustrated, page 517:

Train operating companies get plenty of column inches in the tabloids, usually for negative reasons. Happily, Southeastern is worthy of praise for having made The Sun for something positive.

2024 February 21, Nick Brodrick, “Inclusion and development for all”, in RAIL, number 1003, page 62:

(printing) One inch of a printed column; a measure of space allocated.


isomonodromic

(mathematics) Having the same (or constant) monodromy


integrodifference

recurrence relation
recurrence relation#English

(mathematics, attributive) describing a particular recurrence relation on a function space


qafiz

From Arabic قَفِيز (qafīz), from Aramaic קְפִיזָא and Classical Syriac ܩܦܝܙܐ (qəp̄īzā), of uncertain derivation from Egyptian, Akkadian, and similar units. Doublet of cahiz and cafiso. Cognate with Ancient Greek καπίθη (kapíthē).

der

Aramaic קְפִיזָא

(historical) Any of various medieval units of dry or liquid measure derived from the qafiz.


oitava

From Portuguese oitava, from Old Galician-Portuguese oitavo, from Latin octāvus (“eighth”), q.v., in reference to it making up one-eighth of the alqueire (Portuguese bushel) or onça (Portuguese ounce). Doublet of octave, octavo, and ochava.

(historical) A traditional Portuguese unit of dry measure, equivalent to 1.6–2.4 liters in different 19th-century contexts.


congruential

(mathematics) That uses congruency (division by a modulus)


ultradiscrete

(mathematics) Describing any discrete system whose dependent variables also take discrete values


zero-order hold

en-noun

zero-order hold (plural zero-order holds)

signal reconstruction
signal reconstruction

(mathematics) A mathematical model of the practical signal reconstruction done by a conventional digital-to-analog converter, describing the effect of converting a discrete-time signal to a continuous-time signal by holding each sample value for one sample interval.


divisibility sequence

divisibility sequence (plural divisibility sequences)

If #92;mathcalC#61;(C#95;n)#95;#123;n#92;ge 1#125; is any divisibility sequence, one says that a prime p is a primitive divisor of C#95;n if p#92;vertC#95;n but p#92;nmidC#95;1C#95;2C#95;#123;n-1#125;. Primitive divisors of certain divisibility sequences were studied by Zsigmondy [37] in the 19ᵗʰ century.

2012, P. Ingram, J. H. Silverman, “Primitive Divisors in Elliptic Divisibility Sequences”, in Dorian Goldfeld, Jay Jorgenson, Peter Jones, Dinakar Ramakrishnan, Kenneth Ribet, John Tate, editors, Number Theory, Analysis and Geometry, Springer,, page 244:

These divisibility sequences satisfy the same recurrence relations as the polynomials #92;phi#95;n and #92;psi²#95;n (see Appendix C).

2013, Graham Everest, Thomas Ward, Heights of Polynomials and Entropy in Algebraic Dynamics, Springer, page 138:

Moreover, in order to keep a divisibility sequence normalized, we can assume without loss of generality that a#95;0 = 0 and a#95;1#61;1.

2021, Masum Billal, Samin Riasat, Integer Sequences, Springer, page 59:

(number theory, algebra) Any sequence of integers {aₙ}, indexed by the natural numbers, such that if n is divisible by m then aₙ is divisible by aₘ.


bimedian

(mathematics) A line that joins the midpoints of opposite sides of a quadrilateral or tetrahedron


biordinal

(mathematics, music) Of the second order


biplanar

(mathematics) Between two tangent planes


biquadrate

(mathematics) The fourth power; the square of a square.


biquadrate

en-verb

biquadrate (third-person singular simple present biquadrates, present participle biquadrating, simple past and past participle biquadrated)

biquadrates (present singular third-person)
biquadrating (participle present)
biquadrated (participle past)
biquadrated (past)

Two biquadrated is equal to sixteen.

(transitive, arithmetic) To raise to the fourth power; to determine the result of multiplying by itself three times.


bitangent

(mathematics) A line that is tangent to a curve at two points


calceiform

en-adj

calceiform (comparative more calceiform, superlative most calceiform)

more calceiform (comparative)
most calceiform (superlative)

From Latin calceus (“calceus, footwear”) + English -form (“-shaped”) after the model of French calcéiforme.

(chiefly botany) Shoe-shaped, shaped like a shoe.


calculist

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A mathematician who specializes in calculus.


trendless

(statistics) Not exhibiting any particular trend.


trendlessness

(statistics) The absence of any particular trend.


cointegration

en-noun

cointegration (countable and uncountable, plural cointegrations)

(mathematics) The condition of two non-stationary time series whose linear combination is stationary


modius

Learned borrowing from Latin modius, from modus (“a measure”) + -ius (adjective-forming suffix). Doublet of muid and mud. See also almud and almude.

(historical) A Roman dry measure of about a peck or 9 litres.


semianalytic

(mathematics) Having some analytic characteristics


sparsifier

(graph theory) A graph that is a sparse version of another.


supertrace

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(mathematics) A specific form of a trace in a superalgebra


antilinear

(mathematics) Describing a particular mapping of a complex vector space.

antilineaarinen

describing a particular mapping of a complex vector space


holomorphicity

(mathematics) The condition of being holomorphic


involutory

(mathematics) Of a mapping or transformation: being its own inverse; being an involution.


involutory

linear transformation
linear transformation

(mathematics) A linear transformation that is its own inverse, i.e., that has period two.


lognormal

logarithmic function
logarithmic function

(mathematics) Describing a logarithmic function that has a normal distribution.


octonionic

(mathematics) Of or pertaining to octonions.


overrelaxation

(mathematics) A technique which, when applied iteratively, can solve certain types of matrix equation


preexponent

(mathematics) Any factor that multiplies an exponential function


biclustering

(mathematics, computing) The simultaneous clustering of the rows and columns of a matrix


bicluster

(mathematics, computing) A subset of rows or columns of a matrix produced by biclustering


antiunitary

(mathematics) Of a bijective antilinear mapping, reversing the order when applied to the arguments of a scalar product: ⟨x,y⟩=⟨f(y),f(x)⟩


binarize

en-verb

binarize (third-person singular simple present binarizes, present participle binarizing, simple past and past participle binarized)

binarizes (present singular third-person)
binarizing (participle present)
binarized (participle past)
binarized (past)

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(mathematics) To represent in binary (base 2) notation


colimit

(category theory) The cocone of a diagram through which any other cocone of that same diagram can factor uniquely.


Eulerian

(graph theory) Having an Eulerian circuit.


black chamber

(historical, cryptography, informal) A government or royal court's cryptanalyst department.


unsatisfiability

en-noun

unsatisfiability (countable and uncountable, plural unsatisfiabilities)

(mathematics) The condition of being unsatisfiable


autocovariance

autocovariance (countable and uncountable, plural autocovariances)

(statistics) The covariance of a signal with another part of the same signal


irredundant

Theorem 4.23 The following conditions on a finite permutation group are equivalent:
(a) all irredundant bases have the same size;
(b) the irredundant bases are invariant under re-ordering;
(c) the irredundant bases are the bases of a matroid.

1999, Peter J. Cameron, Permutation Groups, Cambridge University Press, page 124:

We say a set S#92;subsetV is irredundant if for any v#92;inS there exists a vertex u#92;inV such that v dominates u and S#92;setminus#92;left#92;#123;v#92;right#92;#125; does not dominate u. We call any such vertex u a private vertex for v. An irredundant set is called inclusion–maximal if it is not a proper subset of any other irredundant set. Note that an inclusion–maximal irredundant set does not necessarily have to dominate the whole vertex set of G as in Figure 1.

2010, Marek Cygan, Marcin Pilipczuk, Jakub Onufry Wojtaszczyk, “Irredundant Set Faster than O(2n)”, in Josep Diaz, Tiziana Calamoneri, editors, Algorithms and Complexity: 7th International Conference, CIAC 2010, Proceedings, Springer,, page 289:

If each of the 10 irredundant expressions is now evaluated by the cost criterion proposed in Sec. 4. 1 involving the total number of gate inputs. then the minimal sums are obtained since a minimal expression is irredundant.

2013, Donald D. Givone, Digital Principles and Design, McGraw-Hill, page 178:

(mathematics) Containing no redundant constraint.


metricity

(mathematics, physics) The degree of a metric


pseudoinverse

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(mathematics) Any of several structures, similar to inverses, related to complex matrices


bichromatic

(mathematics) Describing a graph with edges of two possible colours.


isoperimetry

(mathematics) The study of isoperimetric structures.


multisymplectic

(mathematics) symplectic in more than one way


termgraph

(mathematics) A form of graph used to describe data structures


dense-in-itself

(mathematics, of a subset of a topological space) Having no isolated points.


egg-shaped

en-adj

egg-shaped (comparative more egg-shaped, superlative most egg-shaped)

more egg-shaped (comparative)
most egg-shaped (superlative)

This takeaway counter serves up some of Hong Kong's best eggettes, the egg-shaped waffles beloved by local children and adults alike.

2017, Piera Chen, Emily Matchar, Lonely Planet Pocket Hong Kong:


glome

Borrowed from Latin glomus (“a ball”). Compare globe.

LL-Q1860 (eng)-I learned some phrases-glome.wav

(geometry) A hypersphere in 4-dimensional Euclidean space defined as the set of all points that are at a given distance from a given point, also called a 3-sphere.


shearlike

shearlike (comparative more shearlike, superlative most shearlike)

more shearlike (comparative)
most shearlike (superlative)

(mathematics) Resembling or characteristic of a shear (geometrical transformation).


integrodifferential

(mathematics) Describing an equation (or other entity) containing both derivatives and integrals


ultrametricity

(mathematics) The condition of being ultrametric.


cosinusoidal

(mathematics) Having the form of a cosine


eigenface

(mathematics, computing) One of a set of eigenvectors used in face-recognition systems.


superalgebraic

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(mathematics) Of or pertaining to a superalgebra


uncolorability

(mathematics) The condition of being uncolorable


uncolorable

(mathematics, of a graph or map) That cannot be colored with fewer than a specified number of colors


hypercycle

(hyperbolic geometry) A curve whose points have the same orthogonal distance from a given straight line.


queueing theory

(mathematics) The study of the behaviour of queues, and of stochastic processes on which they are modelled.


cogredient

(mathematics) Describing two or more variables that undergo the same linear transformations


collineation

en-noun

collineation (countable and uncountable, plural collineations)

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From Latin collineare to direct in a straight line. See collimation.

(algebra) An isomorphism from one projective space to another, often to itself.


variadic

/vɛəɹiˈædɪk/

C's printf is one of the most widely used variadic functions.

There are some functions and predicates which we tend to think of as being able to take any number of parameters – of being of variable arity or variadic.

1983, Alan Bundy, The Computer Modelling of Mathematical Reasoning, Academic Press, page 48:

The variadic functions that increase the valence of the input relation through the addition of a circumstance to the set of its argument-roles can be represented by means of an operator (or rather, a family of operators) ‘Circ’.

2004, François Récanati, Literal Meaning, Cambridge University Press, →ISBN, page 109:

However, the real max procedure of Scheme is a variadic procedure, which means that it accepts any positive number of arguments: ¶ (max 5 1 3 8 9 7 2 6 4) => 9

2006, Nils M. Holm, Sketchy LISP: An Introduction to Functional Programming in Scheme, 2nd edition, Lulu.com, →ISBN, page 53:

(programming, mathematics, linguistics) Taking a variable number of arguments; especially, taking arbitrarily many arguments.

prinimajuščij peremennoje čisló parametrov

принимающий переменное число́ параметров


cryptomorphism

(mathematics) the condition of being cryptomorphic


antipersistence

(mathematics) The condition of being antipersistent


matroidal

en-adj

matroidal (comparative more matroidal, superlative most matroidal)

more matroidal (comparative)
most matroidal (superlative)

(mathematics) Of or pertaining to a matroid


nonfuzzy

a nonfuzzy subset


truncus

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From Latin truncus. Doublet of tronk and trunk.

(geometry) A curve in the Cartesian plane consisting of all points (x,y) satisfying an equation of the form f(x)=a/(x+b)²+c where a, b, and c are given constants.


treewidth

(mathematics, computing) The width (maximum number of nodes or leaves at any level) of a tree.


in terms of

If x=2y then 5x can be expressed in terms of y as 10y.

(mathematics) [Of one variable or unit of measurement which has a known relationship to another] Using equivalent expressions that use one variable in place of expressions involving the other.


antiset

(mathematics) Any set that transforms via a converse function.


assortativity

en-noun

assortativity (countable and uncountable, plural assortativities)

(mathematics) The extent to which nodes of a graph link to others of the same degree.

Assortativität

the extent to which nodes of a graph link to others of the same degree


defuzzification

defuzzification (countable and uncountable, plural defuzzifications)

(mathematics) A process, in fuzzy logic, of producing a useful result from fuzzy data.


dimensionful

From dimension + -ful. Coined in technical writing c. 1960 as antonym of dimensionless.


dodecagrid

(mathematics) A tiling of the hyperbolic plane with regular dodecagons.


heptagrid

(mathematics) A tiling of the hyperbolic plane with regular heptagons


pentagrid

(mathematics) A tiling of the hyperbolic plane with regular pentagons


fuzzification

fuzzification (countable and uncountable, plural fuzzifications)

From fuzz + -ification or fuzzy + -fication.

(mathematics) The addition of fuzziness to data in fuzzy logic.


interreducible

(mathematics) Describing matrices that are mutually reducible


scalefree

(physics, mathematics) Describing any property that is independent of scale.


tetradecagonal

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(geometry) Having the form of a tetradecagon


multibaric

(mathematics, physics) Involving multiple pressures


Dyck word

Named after the mathematician Walther von Dyck.

(mathematics, combinatorics) A string consisting of n X's and n Y's such that no initial segment of the string has more Y's than X's.


reptation

reptation (countable and uncountable, plural reptations)

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(geometry) The motion of one plane figure around another, so that the longest diameter of one shall come into line with the shortest of the other.


full circle

по́лный цикл

full turn back to the original direction or orientation

Arcs are measured in degrees, with 360° in the full circle.

2007, Carolyn C. Wheater, Geometry, page 193:


binormal

(mathematics) A line that is at right angles to both the normal and the tangent of a point on a curve and, together with them, forms three orthogonal axes


let be

en-verb

let be (third-person singular simple present lets be, present participle letting be, simple past and past participle let be)

lets be (present singular third-person)
letting be (participle present)
let be (participle past)
let be (past)

Let f be any real-valued function on I and g be any real-valued function on J.

(mathematics) Used to assign a value to a symbol.


coalgebraic

(mathematics) Of or pertaining to a coalgebra


covector

(mathematics) A linear map from a vector space to its field of scalars


eigensubspace

(mathematics) A subdivision of an eigenspace.


hyperscaling

(mathematics) That scales in a higher dimension


subplane

(mathematics) A plane making up part of another plane.


subpath

(graph theory) A path making up part of a larger path (the superpath).


superpath

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(graph theory) The path that contains a particular subpath.


QKD

(cryptography) Initialism of quantum key distribution.


bidimensionality

(mathematics) The condition of being bidimensional


dilogarithm

In two space-time dimensions, we arrive at a result in terms of elliptic dilogarithms.

2015, Luise Adams, Christian Bogner, Stefan Weinzierl, “The Elliptic Sunrise”, in arXiv:

(mathematics) The form of polylogarithm having a base of two


trilogarithm

(mathematics) The form of polylogarithm having a base of three


fuzzify

fuzzify (third-person singular simple present fuzzifies, present participle fuzzifying, simple past and past participle fuzzified)

fuzzifies (present singular third-person)
fuzzifying (participle present)
fuzzified (participle past)
fuzzified (past)

(mathematics) To subject to fuzzification.


pandigital

1749208365 is a pandigital number in base ten.

(mathematics, of a number) Containing at least one of every digit in a specified base.


densitized

en-adj

densitized (comparative more densitized, superlative most densitized)

more densitized (comparative)
most densitized (superlative)


isogonic

isogonic (comparative more isogonic, superlative most isogonic)

more isogonic (comparative)
most isogonic (superlative)

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uniformiser

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uniformizing parameter
uniformizing parameter

(commutative algebra) Non-Oxford British English standard spelling of uniformizer (“a uniformizing parameter”).


interpolant

(mathematics) A function used to generate interpolation


peakedness

en-noun

peakedness (countable and uncountable, plural peakednesses)


supersymmetrized

en-adj

supersymmetrized (comparative more supersymmetrized, superlative most supersymmetrized)

more supersymmetrized (comparative)
most supersymmetrized (superlative)

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(mathematics, physics) Converted to a form as used by supersymmetry


crosscorrelation

en-noun

crosscorrelation (countable and uncountable, plural crosscorrelations)

(statistics) correlation between the corresponding members of different series


hyperdynamics

(physics) The extension of dynamics to systems of more than three dimensions


quasiharmonic

(physics, mathematics) Describing any system that has some harmonic (periodic) characteristics


antisymmetrization

(mathematics) The act of making antisymmetric.


knightship

(cellular automata) A spaceship, in a cellular automaton, which moves knightwise (i.e., moving two spaces along the x-axis for every space it moves along the y-axis [or vice versa], in the manner of a chess knight); a spaceship which moves with slope 2; a (2,1) spaceship.


mathematical morphology

(mathematics) A theory and technique for the analysis and processing of geometrical structures, based on set theory, lattice theory, topology, and random functions.


multialgebra

(mathematics) An algebra composed of a set and a family of multioperations on that set


submultialgebra

(mathematics) A subset of a multialgebra


quindecagonal

en-adj

quindecagonal (comparative more quindecagonal, superlative most quindecagonal)

more quindecagonal (comparative)
most quindecagonal (superlative)

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(geometry) Shaped like a quindecagon; fifteen-sided.


interreducibility

(mathematics) The condition of being interreducible


cointegrated

(mathematics) Describing time series subject to cointegration


quasiregular

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The lattice points that lie in this plane are the vertices of the regular tessellation {3, 4} of equilateral triangles, and the other points just mentioned are the vertices of the quasiregular tessellation #92;begin#123;Bmatrix#125;3#92;#92;4#92;end#123;Bmatrix#125; of triangles and hexagons [9, p. 60].

1981, H. S. M. Coxeter, “The Derivation of Schoenberg's Star Polytopes from Schoute's Simplex Nets”, in Chandler Davis, Branko Grünbaum, F.A. Sherk, editors, The Geometric Vein: The Coxeter Festschrift, page 151:

There are two quasiregular polyhedra not having identical regular faces: the cuboctahedron (dymaxion) and the icosidodecahedron.

1996, Wolfgang Schueller, The Design of Building Structures, page 540:

2007, V. A. Blatov, O. Delgado-Friedrichs, M. O'Keeffe, D. M. Proserpio, Periodic nets and tilings: possibilities tor analysis and design of porous materials: Proceedings of the 15th International Zeolite Conference, Ruren Xu, Jiesheng Chen, Zi Gao, Wenfu Yan (editors), From Zeolites to Porous MOF Materials, page 1642,
If we allow the coordination figure to be a quasiregular polyhedron (a polyhedron with one kind of vertex and edge, but two kinds of face) there is just one possibility compatible with translational symmetry – a cuboctahedron.

Two semiregular polyhedra are classified as so-called quasiregular polyhedra. They have two kinds of faces, and each face of one kind is entirely surrounded by faces of the other kind.

2007, Istvan Hargittai, Magdolna Hargittai, Symmetry through the Eyes of a Chemist, page 89:

(geometry, of a polyhedron or tessellation) That is semiregular with regular faces of precisely two types that alternate around each vertex.

The element a can be uniquely represented in the form r + t, where [rt] = 0, t is nilpotent and r is a quasiregular element of G ([1]; p. 108).

1966, Translations: Lie groups, American Mathematical Society, Series 1, Volume 9, page 215:

A onesided ideal is quasiregular provided that it consists of quasiregular elements.

1976, Carl Faith, Algebra II: Ring Theory, page 33:

A norm #92;begin#123;Vmatrix#125;#92;end#123;Vmatrix#125; is called spectral if the group of quasiregular elements is open in the associated norm topology, equivalently if it satisfies Gelfand's spectral radius formula:[…].

1989, Proceedings of the Royal Irish Academy: Mathematical and physical sciences, page 128:

(mathematics, ring theory, of an element r of a ring) Such that 1 − r is a unit (has a multiplicative inverse).

Given two orientable Riemannian manifolds V₁ and V₂, one may ask whether a non-constant quasiregular map 𝑓 : V₁ → V₂ exists.

1999, Israel Mathematical Conference Proceedings, volumes 12-14, page 61:

1999, S. Mueller, Variational models for microstructure and phase transitions, F. Bethuel, G. Huisken, S. Mueller, K. Steffen (editors),Calculus of Variations and Geometric Evolution Problems, Springer, Lecture Notes in Mathematics, Volume 1713, page 108,
An alternative proof that features an interesting connection with the theory of quasiconformal (or more precisely quasiregular) maps proceeds as follows.

Quasiregular maps are a generalization of quasiconformal maps where the assumption of injectivity is relaxed. Heinonen and Holopainen [138] developed nonlinear potential theory and quasiregular maps on Carnot groups.

2007, Luca Capogna, Donatella Danielli, Scott D. Pauls, Jeremy Tyson, An Introduction to the Heisenberg Group and the Sub-Riemannian Isoperimetric Problem, page 142:

mathematical analysis
mathematical analysis

(mathematics, mathematical analysis, of a mapping from a multi-dimensional space or manifold to an equivalent space) Having certain properties in common with holomorphic functions of a single complex variable.

in the fundamental affine space H = G/Z is called quasiregular.

1988, I. M. Gelfand, M. I. Graev, 3: Geometry of homogeneous spaces, representations of groups in homogeneous spaces and related questions of integral geometry, Izrail M. Gelfand, Collected Papers, Volume II, page 357, We first decompose the quasiregular representations of a complex semi-simple Lie group into irreducible ones. A representation of the group G given by the formula T_g𝑓(h) = 𝑓(hg)

1998, Vladimir F. Molchanov, Discrete series and analyticity, Joachim Hilgert, Jimmie D. Lawson, Karl-Hermann Leeb, Ernest B. Vinberg (editors), Positivity in Lie Theory: Open Problems,De Gruyter Expositions in Mathematics, Volume 26, page 188,
As it is known (see [11], [13], [21], [22]), the quasiregular representation on the hyperboloid decomposes into two series of irreducible unitary representations: continuous and discrete.

2008, André Unterberger, Alternative Pseudodifferential Analysis: With an Application to Modular Forms, Springer, Lecture Notes in Mathematics, Volume 1935, page 6,
Note that the representation Met⁽²⁾, contrary to the quasiregular representation of the same group, does not act by changes of coordinates only […] .

(mathematics, representation theory, topological algebra, of a representation) That is the result of a required adjustment of an induced representation that would, unadjusted, give rise to (only) a quasi-invariant measure.

representation theory; topological algebra; representation theory; topological algebra


residuosity

(mathematics) The condition of being residual


overorder

(mathematics) A ring for which a specified subring R contains no nonempty socles and for which any R-module is of finite length.


subterm

(mathematics, law, computing) A subordinate term.


superparticular

'Tis superparticular, sesquialtera, sesquitertia […] all those geometric proportions are too little to express it.

When a number contains the whole of another in itself, and some part of it besides, it is called superparticular. And if the part of the less it contains is the half, it is called sesquialter; if the third part, sesquitertian; if the fourth, sesquiquartan; if the fifth, sesquiquintan. And the like names being employed to infinity, the form of superparticular numbers will also proceed infinitely.

1816, Thomas Taylor, Theoretic Arithmetic, pages 37–38:

(mathematics, obsolete) Of a natural number, being larger than another natural number by a unit fraction of that smaller number.

(mathematics, music) Pertaining to a ratio of any whole number to the next below it (e.g. tfrac 3 2, tfrac 8 7, etc.).


antisymmetrizing

antisymmetrizing (comparative more antisymmetrizing, superlative most antisymmetrizing)

more antisymmetrizing (comparative)
most antisymmetrizing (superlative)

(mathematics) That produces antisymmetrization


biprism

(mathematics) A fusion of two triangular prisms.


connex

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(algebra) A correspondence between a projective space and its dual.


connex

(set theory) Such that, for all x and y in X, and for a binary relation R, either or both of xRy and yRx hold(s).


orbispace

(mathematics) A topological space or generalization of an orbifold.


semigroupoid

(mathematics) A form of partial algebra in category theory.


quasicontinuous

(mathematics, physics) Having some characteristics of a continuous function, system etc


superformula

en-noun

superformula (plural superformulas or superformulae)

superformulas (plural)
superformulae (plural)

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(mathematics) A generalization of the superellipse that can be used to describe many complex shapes and curves found in nature.


coevent

(mathematics, physics) A particular form of truth function associated with quantum mechanics.


responding variable

responding variable (plural responding variables)


ultraradical

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(algebra) A root of the polynomial x⁵ + x + a, where a is a complex number.


isotrivial

(mathematics) Describing a smooth projective surface having a morphism onto a curve such that all smooth fibres are isomorphic to each other


semiconjugate

(mathematics) Describing each of the equal line segments into which the conjugate axis of a hyperbola is divided by the centre of symmetry


bridgeness

(mathematics) A measure of connectivity in certain networks


nonsimply

en-adv

nonsimply (comparative more nonsimply, superlative most nonsimply)

more nonsimply (comparative)
most nonsimply (superlative)


semilocal

(mathematics) Describing a ring that has a finite number of maximal ideals


superlogarithm

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(mathematics) One of the two inverse functions of tetration.


malnormality

(mathematics, group theory) The property of a subgroup H of a group G where, for any x in G but not in H, H and Hˣ intersect in the identity element.


canonisant

(mathematics) Alternative form of canonizant


pseudoideal

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partially ordered set
partially ordered set

(mathematics) The set of all lower bounds of the set of all upper bounds of a subset of a partially ordered set


scedasticity

en-noun

scedasticity (countable and uncountable, plural scedasticities)

(statistics) The distribution of error terms. Error terms are distributed either randomly and with constant variance (homoscedasticity) or with some kind of pattern (heteroscedasticity).


snub cube

From cubus simus, Kepler's name for this solid.

1995, R. H. Hardin, N. J. A. Sloane, Codes (Spherical) and Designs (Experimental), Robert Calderbank (editor), Different Aspects of Coding Theory: American Mathematical Society Short Course, Proceedings of Symposia in Applied Mathematics, Volume 50, page 183,
Robinson [67] showed in 1961 that the best packing of 24 points is achieved by the vertices of a regular snub cube, one of the Archimedean solids (cf. [20]).

1996, William P. Schaefer, The Snub Cube in the Glanville Courtyard of the Beckman Institute at the California Institute of Technology, The Chemical Intelligencer, reprinted in 2015, Balazs Hargittai, István Hargittai (editors), Culture of Chemistry: The Best Articles on the Human Side of 20th-Century Chemistry from the Archives of the Chemical Intelligencer, page 55,
A wooden model, though, showed that with a sufficiently strong flow, the entire surface of the solid could be wet; we were given the go-ahead to install a five-foot-tall, granite snub cube in the fountain.

Two of these are chiral pairs, the dextro snub cube and its chiral partner, the laevo snub cube; the third is the regular orbit of T_d point symmetry, while the fourth is the regular orbit of Tₕ symmetry.

2005, Charles M. Quinn, Patrick Fowler, David Redmond, Computational Quantum Chemistry II: The Group Theory Calculator, page 44:

equilateral triangle
equilateral triangle

(geometry) An Archimedean solid with thirty-eight faces, of which six are squares (no two of which share a vertex) and thirty-two are equilateral triangles.

cubus sinus

polyhedron with 6 square and 32 triangular faces


elliptization

(mathematics) transformation into a spherical 3-manifold


Feynman point

Named after Richard Feynman, who is claimed to have talked about it in a lecture.

What is the Feynman Point? The Feynman Point was named after Nobel Prize-winning physicist Richard Feynman (1918–1988), who once joked he wanted to memorize pi up to "999999 ... and so on and so on," as if to say pi continues from the Feynman Point with nines forever. This is not true, of course, and the sequence of nines is a mere coincidence—thus, the joke of the Feynman Point.

2012, Patricia Barnes-Svarney, Thomas E Svarney, The Handy Math Answer Book, 2nd edition, Visible Ink Press, page 41:

The position (at the 762nd digit after the decimal point) in the decimal expansion of pi at which a sequence of six consecutive nines first appears, unexpectedly early in view of the expected and otherwise apparent randomness of said expansion.


integerness

(mathematics) The characteristics shared by all integers.


extraspecial

(group theory) Being an analogue of the Heisenberg group over a finite field whose size is a prime.


pseudo-Riemannian manifold

pseudo-Riemannian manifold (plural pseudo-Riemannian manifolds)

differential geometry
differential geometry

(differential geometry) A generalization of a Riemannian manifold


Riemannian manifold

Riemannian manifold (plural Riemannian manifolds)

Named after German mathematician Bernhard Riemann (1826–1866). See also Riemannian.

variété riemannienne

real, smooth differentiable manifold equipped with a Riemannian metric

By definition, a Riemannian manifold M has at each point p a tangent space T#95;pM equipped with a positive-definite inner product, g#95;p; information about these inner products is encoded in the Riemannian metric tensor, g.

In this chapter we extend the study of eigenvalues to Riemannian manifolds whose curvature may not be constant, but is, nevertheless, bounded.

1984, Isaac Chavel, Eigenvalues in Riemannian Geometry, Academic Press, page 55:

Further, a much harder theorem, due to J. Nash [31], says that a separable Riemannian manifold of dimension d can be isometrically embedded in #92;textstyle#92;mathbbRᴺ with N#92;le#123;#92;tfrac 1 2#125;d(d#43;1)(3d#43;11).

2000, Daniel W. Stroock, An Introduction to the Analysis of Paths on a Riemannian Manifold, American Mathematical Society, page 165:

Before we delve into the general theory of Riemannian manifolds, we pause to give it some substance by introducing a variety of "model Riemannian manifolds" that should help to motivate the general theory.

2018, John M. Lee, Introduction to Riemannian Manifolds, 2nd edition, Springer, page 55:

differentiable manifold
differentiable manifold

(differential geometry, Riemannian geometry) A real, smooth differentiable manifold whose each point has a tangent space equipped with a positive-definite inner product;

differential geometry; Riemannian geometry; differential geometry; Riemannian geometry

differential geometry; Riemannian geometry; more formally

A real, smooth differentiable manifold whose each point has a tangent space equipped with a positive-definite inner product;
(more formally) an ordered pair (M, g), where M is a real, smooth differentiable manifold and g its Riemannian metric.