"logarithmand" meaning in All languages combined

See logarithmand on Wiktionary

Noun [English]

Forms: logarithmands [plural]
Etymology: Borrowed from German Logarithmand. By surface analysis, logarithm + -and. Etymology templates: {{bor|en|de|Logarithmand}} German Logarithmand, {{surface analysis|en|logarithm|-and}} By surface analysis, logarithm + -and Head templates: {{en-noun}} logarithmand (plural logarithmands)
  1. (rare) The number for which one is obtaining a logarithm. Thus, if a = bᵉ, then e is the logarithm (base b) of a, and a is the logarithmand. Tags: rare Related terms: antilogarithm
    Sense id: en-logarithmand-en-noun-DWk4ILN6 Categories (other): English entries with incorrect language header, English terms suffixed with -and

Inflected forms

Download JSON data for logarithmand meaning in All languages combined (3.0kB)

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      "expansion": "By surface analysis, logarithm + -and",
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  "etymology_text": "Borrowed from German Logarithmand. By surface analysis, logarithm + -and.",
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          "ref": "1843, Alexander John Ellis, transl., The Spirit of Mathematical Analysis, and Its Relation to a Logical System, London: John W[illiam] Parker, […], translation of original by Martin Ohm, part I (The Relation of the Four First Operations to One Another. Elementary Algebra.), chapter 3, section 29 (Idea of Actual Logarithm), page 36",
          "text": "Let us now understand by an actual logarithm, a symbol of the form log a, in which a is any positive number, while b is any positive number > 1, and which denotes such a positive or negative number or zero, that when the “base” b is potentiated by it, the result will be the “logarithmand” a,—the actual logarithm therefore will always have a value and never more than one, and that value is negative, zero, or positive, according as the logarithmand is < 1, = 1, or > 1.",
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          "ref": "1956, Ernst Weber, Linear Transient Analysis, Volume II: Two-Terminal-Pair Networks, Transmission Lines, New York, N.Y.: John Wiley & Sons, Inc.; London: Chapman & Hall, Limited, page 200",
          "text": "We thus have for ω < Ωₑ, inverting the logarithmand[…]",
          "type": "quotation"
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        {
          "ref": "1992, “Laser Gas-Kinetics: […]”, in O. N. Tselikova, V. S. Potapchouk, transl., edited by Elliott H. Lieb, Wolf Beiglböck, Tullio Regge, Robert P. Geroch, and Walter Thirring, Intense Resonant Interactions in Quantum Electronics (Texts and Monographs in Physics), Springer-Verlag, translation of Intensivnye resonansnye vsaimodeistviya v kvantovoi elektronike by V. M. Akulin and N. V. Karlov, →DOI, page 73",
          "text": "At small frequency detuning ΔT₂ ≪ 1 and field strength μ₂₁Ɛ₀ ≪ ħT₁⁻¹, the logarithmand may be expanded into a power series.",
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        "The number for which one is obtaining a logarithm. Thus, if a = bᵉ, then e is the logarithm (base b) of a, and a is the logarithmand."
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        "(rare) The number for which one is obtaining a logarithm. Thus, if a = bᵉ, then e is the logarithm (base b) of a, and a is the logarithmand."
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          "ref": "1843, Alexander John Ellis, transl., The Spirit of Mathematical Analysis, and Its Relation to a Logical System, London: John W[illiam] Parker, […], translation of original by Martin Ohm, part I (The Relation of the Four First Operations to One Another. Elementary Algebra.), chapter 3, section 29 (Idea of Actual Logarithm), page 36",
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          "ref": "1956, Ernst Weber, Linear Transient Analysis, Volume II: Two-Terminal-Pair Networks, Transmission Lines, New York, N.Y.: John Wiley & Sons, Inc.; London: Chapman & Hall, Limited, page 200",
          "text": "We thus have for ω < Ωₑ, inverting the logarithmand[…]",
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          "text": "At small frequency detuning ΔT₂ ≪ 1 and field strength μ₂₁Ɛ₀ ≪ ħT₁⁻¹, the logarithmand may be expanded into a power series.",
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        "(rare) The number for which one is obtaining a logarithm. Thus, if a = bᵉ, then e is the logarithm (base b) of a, and a is the logarithmand."
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This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-05-24 from the enwiktionary dump dated 2024-05-02 using wiktextract (46b31b8 and c7ea76d). The data shown on this site has been post-processed and various details (e.g., extra categories) removed, some information disambiguated, and additional data merged from other sources. See the raw data download page for the unprocessed wiktextract data.

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