logarithmand

English

Etymology

Borrowed from German Logarithmand. By surface analysis, logarithm +‎ -and.

Noun

logarithmand (plural logarithmands)

1. (rare) The number for which one is obtaining a logarithm. Thus, if a = b^e, 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 < Ω_e, 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, →DOI, →ISBN, page 73:

     At small frequency detuning ΔT₂ ≪ 1 and field strength μ₂₁Ɛ₀ ≪ ħT₁⁻¹, the logarithmand may be expanded into a power series.

See also

• antilogarithm