e

The constant e is a real number that has formula e= lim _(n→∞)(1+1/n)ⁿ, and is approximately 2.718281828.


variable

A variable is something used in mathematics for an unknown value.

In "x = 1 + 2 +...n = ((1 + n) × n)÷2", x is the variable.


similar

similar (positive)
more similar (comparative)
most similar (superlative)

If two shapes are similar, they have the same shape, but might be different sizes.

These two triangles are similar because they have the same angles, but they are not congruent because one is bigger than the other.


less

Seven less four is three. (7-4=3)


factor

The factor is a number that is multiplied with another to form a larger number.

2 x 3 = 6; 2 and 3 are factors of 6.


operation

operation (singular)
operations (plural)

/ˌɒpəˈreɪʃən/

/ˌɑːpəˈreɪʃən/

An operation is a symbol that is used to perform a specific operation (addition, subtraction, multiplication or division) in maths.

The plus symbol is used to perform a specific operation in maths which is addition.


addition

The part of arithmetic where numbers are added together.

He learned addition quickly.

An example of addition is 2+2=4.


argument

An argument is the independent variable of a function.


over

Eight over two is four.


square

square (canonical)
squares (third-person singular)
squared (past)
squared (past participle)
squaring (present participle)

If you square a number, you multiply it by itself. It is represented in math as x² where x is the number being squared.

3 squared is 9, because 3 times 3 is 9.


integration

integration (singular)
integrations (plural)

/ɪntəˈɡreɪʃən/

An integration is the process of finding the integral of a function.


proof

A proof can show how a theorem is correct.


slope

The slope of a line is how far up it goes divided by how far along it goes.


prime

A prime is a number that can be evenly divided only by one and itself.

The first six primes are 2, 3, 5, 7, 11, and 13.


ray

A ray in math is a line that starts at one point and goes on forever in one direction.

Two rays that start at the same point make an angle.


relation

A relation is a statement of equality between two products of generators that are used when showing a group.


power

x to the power of y is equal to x multiplied by itself y times.

Two to the power of three is eight (2³=8).


minus

A minus sign, negative sign, or minus is the symbol "－". It is used in more than one situation:

before a number, to indicate that it is a negative number.

in a math problem 3-1=2 to indicate subtraction.


differentiation

differentiation (singular)
differentiations (plural)

Differentiation is the process of obtaining the derivative of a function.


radical

A quantity expressed as a root of another quantity. (e.g., √)


divide

divide (canonical)
divides (third-person singular)
divided (past)
divided (past participle)
dividing (present participle)

When you divide one number into another, you are computing into how many equal parts one number can be separated from the other.

2 divides into 6 exactly 3 times.

Six divided by two is three.


like terms

Like terms are terms that contain the same variables raised to the same power.

In 5xy³+3=6xy³-3, the like terms are 5xy³ and 6xy³.


times

"Three times three is nine" is written: 3 × 3 = 9.


modulo

21 and 84 are congruent to each other modulo 9, since both numbers leave the same remainder, 3, when divided by 9.

Thus 21 modulo 9 is 3 - because when 21 is divided by 9, the remainder is 3.


amplitude

amplitude (singular)
amplitudes (plural)

The biggest possible absolute value of the vertical part of a periodic curve.


magnitude

magnitude (singular)
magnitudes (plural)

A number that is assigned to something so that it may be compared to others numerically; it is always a positive number (more than zero).


product

A product is the number you get when you multiply two other numbers.

The product of 2 and 3 is 6.


ceiling

The smallest integer greater than or equal to a given number.

The ceiling of 4.5 is 5.


term

A term is a number or symbol in a formula.

The equation only worked when we included an extra constant term.


known

In algebra, a variable or constant whose value is already determined.


induction

induction (singular)
inductions (plural)

A proof of a theorem by first proving it for one integer and showing that if it is true for one integer then it must be true for other integers.


equality

The state of being equal, of having the same value.


expression

expression (singular)
expressions (plural)

An expression is a group of numbers and variables.

The expression "2x + y - 3" was set equal eight in the equation.


fraction

A fraction is a ratio, presented with a line between the numerator above and the denominator below.


square root

square root (singular)
square roots (plural)

The square root of a number n is a number that, multiplied by itself, is equal to this number n. Its symbol is √. "The square root of "n" is written √.

The square root of 9 is 3.


5! = 5 × 4 × 3 × 2 × 1

"five factorial equals…"


quotient

A quotient is the result you get when you divide one number by another.

A quotient of 2 is given when you divide 6 by 3.


magma

Magma is a way to classify kinds of algebra.


odds

In statistics, the odds are the chance something will happen divided by the chance it will not happen:

If "p" is the odds it will happen: p/(1-p)

The odds something will not happen: (1-p)/p


probability

probability (singular)
probabilities (plural)

I took a class in probability and statistics.


pi

Pi is a number that is found by dividing the circumference of a circle by its diameter. Pi is constant, it is always the same (close to 3.14159 , also accurate approx as tfrac 355 113, or rough approx as tfrac 22 7). It is usually written as "π"

The distance around a circle is twice the radius times pi; C = 2πr.


imaginary

/ɪˈmædʒɪˌnɛri/

If a number is imaginary, it is the square root of a negative number. Imaginary one is written as i.


axis

An axis is the imaginary line that an object spins around. This is the middle of the circle of the turn, and at a right angle to it.

The Earth rotates once a day on its axis.


calculation

calculation (singular)
calculations (plural)

A calculation is the answer you get after calculating.

Your calculation is wrong.


exponent

An exponent is the number of times something is multiplied by itself.

"3" is the exponent in x³.


sin

Sin is short for sine, a trigonometric function.

Cos75° is equal to sin15°.


signed

sign (canonical)
signs (third-person singular)
signed (past)
signed (past participle)
signing (present participle)

If a number is signed, it has both positive and negative kinds.


operator

/ˈɑːpəreɪtɚ/

An operator is a symbol that is used to perform a specific operation (addition, subtraction, multiplication or division) in maths.


diameter

The diameter of a circle is the distance from one point on the circumference of the circle to the point on the opposite side.

The diameter of that circle is 4 inches.


real number

real number (singular)
real numbers (plural)

The set of numbers that includes the integers, the rational numbers and the irrational numbers. In a set-theoretic sense, they are uncountable.

All numbers between -∞ and ∞ are real numbers.


scalar

Scalar in mathematics means to have a magnitude and no direction.


chaos theory

chaos theory (singular)
chaos theories (plural)

Chaos theory is an idea that says that things which seem to be random do have a hidden order.

Benoît Mandelbrot was a mathematician who studied chaos theory.


trigonometry

Trigonometry is mathematical problems that involve angles, triangles and etc.


trigonometric

If something is trigonometric, it is related to trigonometry.

I have to remember all these trigonometric identities for tomorrow's mathematics exams as the formula sheet will not be given.


differentiate

differentiate (canonical)
differentiates (third-person singular)
differentiated (past)
differentiated (past participle)
differentiating (present participle)

When you differentiate a function, you are trying to calculate the derivative (the gradient function) of it.


remainder

remainder (singular)
remainders (plural)

A remainder is the amount left over after subtracting the divisor as many times as possible from the dividend without producing a negative result.


numerator

numerator (singular)
numerators (plural)

In a fraction, the numerator is the top number. It tells you how many parts there are out of a whole.

In the fraction 3/4, the numerator is 3 and the denominator is 4.


dividend

Dividend is the number that you divide by another number to get the result.


matrix

matrix (singular)
matrixes or matrices (plural)

A matrix is a set of numbers in rows and columns.


integer

An integer is any whole number, i.e. any number in the set {...,-2,-1,0,1,2,...}.

one is an integer.


locus

A locus is a set of points that meets some condition.


radius

radius (singular)
radii or radiuses (plural)

A radius is a straight line between the centre of a circle and its circumference.

To find the area of a circle, you have to know the length of the radius.


transversal

transversal (singular)
transversals (plural)

A transversal is a line that goes through multiple lines.

Euclid's paralell postulate uses a transversal.


denominator

denominator (singular)
denominators (plural)

The denominator is the lower part of the fraction.


vector

A vector is a quantity with both a size and a direction.

In teaching physics, force or velocity vectors can be added to the animation.


algorithm

algorithm (singular)
algorithms (plural)

/ˈælɡərɪðəm/

/ˈælɡəˌrɪðəm/

An algorithm is a set of steps that reliably solve certain types of problems, such as sorting things alphabetically or doing long division.

The new search algorithm was able to find a solution 5% faster than the previous algorithm.


duodecimal

Number system that base twelve. Often called base-12 , dozenal.

Duodecimal use twelve numerals:0, 1, 2, 3, 4, 5, 6, 7, 8, 9, ᘔ, Ɛ.


vanish

vanish (canonical)
vanishes (third-person singular)
vanished (past)
vanished (past participle)
vanishing (present participle)

If something vanishes, it becomes equal to zero.

The function f(x)=x² vanishes at x=0.


A to A"

Ae to Ae double prime


intercept

intercept (singular)
intercepts (plural)

An intercept is the coordinate of the point where the curve cuts through an axis.


divisor

The divisor is the number that another number is divided by.

In the equation "48 ÷ 6 = 8", the divisor is 6.

The divisors of a number are all the numbers which evenly divide into it.

The divisors of 12 are 1, 2, 3, 4, 6, and 12.


sine

The sine is the ratio of the side opposite an angle to the length of the hypotenuse.


hyperbolic

hyperbolic (positive)
more hyperbolic (comparative)
most hyperbolic (superlative)

Something hyperbolic is related to hyperbolas.


evenly

If a number is evenly divisible, it can be divided to leave no remainder.


Unsupported titles/`gt`

If x>y, the value of x is more than the value of y.


extrapolate

extrapolate (canonical)
extrapolates (third-person singular)
extrapolated (past)
extrapolated (past participle)
extrapolating (present participle)

If you extrapolate a graph, you estimate the values of a variable outside of a known range from those within that range by assuming that the estimated value follows logically from the known ones.


Unsupported titles/`lt`

If x<y, the value of x is less than the value of y.


factorization

factorization (singular)
factorizations (plural)

Factorization is the process of factorizing a number.


factorisation

factorisation (singular)
factorisations (plural)

Factorisation is the process of factorising a number.


factorize

factorize (canonical)
factorizes (third-person singular)
factorized (past)
factorized (past participle)
factorizing (present participle)

If you 'factorize a number, you find its factors.


factorise

factorise (canonical)
factorises (third-person singular)
factorised (past)
factorised (past participle)
factorising (present participle)

If you 'factorise a number, you find its factors.


theorem

A theorem is a statement that can be proven using logic.

The Pythagorean theorem lets us know the relationship between the lengths of the sides of a triangle with a right angle.


if and only if

When two statements A and B are logically equivalent, if and only if can be used to conjoin these two statements.

A rectangle is a square if and only if all four of its sides have the same length.


cosine

The cosine is the ratio of the length of the side adjacent to an acute angle to the length of the hypotenuse.


metric

If something is metric, it is related to distance.


undefined

If something is undefined, it does not have a meaning.


perimeter

perimeter (singular)
perimeters (plural)

The perimeter is the sum of the distance of all the lengths of the sides of an object.


normalize

normalize (canonical)
normalizes (third-person singular)
normalized (past)
normalized (past participle)
normalizing (present participle)

If you normalize a set of data, you adjust the values to a common scale.


normalise

normalise (canonical)
normalises (third-person singular)
normalised (past)
normalised (past participle)
normalising (present participle)

If you normalise a set of data, you adjust the values to a common scale.