logarithmand
English
editEtymology
editBorrowed from German Logarithmand. By surface analysis, logarithm + -and.
Noun
editlogarithmand (plural logarithmands)
- (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.
- 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:
- 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.
- 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:
- We thus have for ω < Ωe, inverting the logarithmand […]
- 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, , →ISBN, page 73:
- At small frequency detuning ΔT2 ≪ 1 and field strength μ21Ɛ0 ≪ ħT1−1, the logarithmand may be expanded into a power series.