-
unique real
natural logarithm, ak
denote the
complex logarithms of z, and k is an
arbitrary integer. Therefore, the
complex logarithms of z,
which are all...
- subtraction, use of
logarithms avoided laborious and error-prone paper-and-pencil
multiplications and divisions.
Because logarithms were so useful, tables...
- \ln(x\cdot y)=\ln x+\ln y~.}
Logarithms can be
defined for any
positive base
other than 1, not only e. However,
logarithms in
other bases differ only by...
- i θ {\displaystyle \ln r+i\theta } is one
logarithm of z {\displaystyle z} , and all the
complex logarithms of z {\displaystyle z} are
exactly the numbers...
- have a
logarithm may have more than one
logarithm. The
study of
logarithms of
matrices leads to Lie
theory since when a
matrix has a
logarithm then it...
-
instances of the
discrete logarithm problem.
Other base-10
logarithms in the real
numbers are not
instances of the
discrete logarithm problem,
because they...
- Historically, the
first application of
binary logarithms was in
music theory, by
Leonhard Euler: the
binary logarithm of a
frequency ratio of two
musical tones...
-
taken to mean the "
logarithms" as
originally produced by Napier, it is a
function given by (in
terms of the
modern natural logarithm): N a p L o g ( x...
- (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...
-
generator α {\displaystyle \alpha } . Zech
logarithms are
named after Julius Zech, and are also
called Jacobi logarithms,
after Carl G. J.
Jacobi who used them...
