-
distances proportional to the
differences between their logarithms.
Sliding the
upper scale appropriately amounts to
mechanically adding logarithms, as illustrated...
- (base 10)
logarithms,
which were
easier to use.
Tables of
logarithms were
published in many
forms over four centuries. The idea of
logarithms was also...
-
appendix of a work on
logarithms by John Napier. However, this did not
contain the
constant itself, but
simply a list of
logarithms to the base e {\displaystyle...
-
independent variable(s) x. Then, for a
fixed value of x, the
logarithms of the odds (not the
logarithms of the probabilities) of
answering in
certain ways are:...
-
calculated by
taking the
natural logarithm ln {\displaystyle \ln } of each number,
finding the
arithmetic mean of the
logarithms, and then
returning the result...
-
exponential function to be defined). By
continuity of the
logarithm, this can be
proved by
taking logarithms and
proving x = lim n → ∞ ln ( 1 + x n ) n = lim...
- subtraction, use of
logarithms avoided laborious and error-prone paper-and-pencil
multiplications and divisions.
Because logarithms were so useful, tables...
-
instances of the
discrete logarithm problem.
Other base-10
logarithms in the real
numbers are not
instances of the
discrete logarithm problem,
because they...
-
voltage V out {\displaystyle V_{\text{out}}}
approximately proportional to the
logarithm of the input: V out ≈ K ⋅ ln ( V in V ref ) , {\displaystyle...
-
exponentials to
convert to a
linear scale,
adding there, and then
taking logarithms to return. For example,
where operations on
decibels are logarithmic...
