During this period, the representation of a calculation on paper actually allowed calculation of mathematical expressions, and the tabulation of mathematical functions such as the square root and the common logarithm ( for use in multiplication and division ) and the trigonometric functions.
22.
The Nernst equation is frequently expressed in terms of base 10 logarithms ( " i . e . ", common logarithms ) rather than natural logarithms, in which case it is written, " for a cell at 25 �C ":
23.
Indeed, I can't think of any unit with a special name that is the result of taking the natural or common logarithm of a quantity expressed in some other unit .-- Gerry Ashton 02 : 41, 15 November 2006 ( UTC)
24.
Different disciplines have different conventions as to whether absorbance is decadic ( 10-based ) or Napierian ( e-based ), i . e ., defined with respect to the transmission via common logarithm ( log 10 ) or a natural logarithm ( ln ).
25.
So the notation, according to which one writes " ln ( " x " ) " when the natural logarithm is intended, may have been further popularized by the very invention that made the use of " common logarithms " far less common, electronic calculators.
26.
An approximation to the number of active users is given in powers of ten ( see common logarithm ) : so " 5 " means at least 10, 000, " 4 " means at least 1000, " 3 " means at least 100, and so on.
27.
Wolfram Alpha can calculate exact results for the ceiling function and floor function applied to the natural and common logarithm of " n " ! for values of " n " up to 249999, and up to 20, 000, 000 ! for the integers.
28.
In chemistry, a closely related quantity called " absorbance " or " decadic absorbance " is used instead of optical depth : the " common logarithm " of the ratio of incident to " transmitted " radiant power through a material, that is the optical depth divided by ln 10.
29.
Where \ log is the common logarithm ( base 10 ), L _ { n } is the luminance of each light source numbered n, \ omega _ { n } is the solid angle of the light source seen from the observer and p _ { n } is the Guth position index, which depends on the distance from the line of sight of the viewer.
30.
:: INCOMPOSIT Ditone of the Enharmonic Genus is the excess of a fourth tone above half a tone major, or 3??8 root 2, which is 202 ? + 4f + 17�m, or 202.00393 ? + 4f + 17�m, whose common logarithm is . 9006375.2462, and its Euler's log . = . 330076, and it contains 18.41741 major commas.
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