- Historically, the
first application of
binary logarithms was in
music theory, by
Leonhard Euler: the
binary logarithm of a
frequency ratio of two musical...
- its very
simple derivative. The
binary logarithm uses base 2 and is
frequently used in
computer science.
Logarithms were
introduced by John
Napier in...
- subtraction, use of
logarithms avoided laborious and error-prone paper-and-pencil
multiplications and divisions.
Because logarithms were so useful, tables...
-
remaining tree, the
lookup performance is
proportional to that of
binary logarithm. BSTs were
devised in the 1960s for the
problem of
efficient storage...
- In
computer science,
binary search, also
known as half-interval search,
logarithmic search, or
binary chop, is a
search algorithm that
finds the position...
-
indicate the
binary iterated logarithm,
which iterates the
binary logarithm (with base 2 {\displaystyle 2} )
instead of the
natural logarithm (with base...
- (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...
- \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...
- the
logarithm corresponds to the
choice of
units of information; base e
corresponds to nats and is
mathematically convenient,
while base 2 (
binary logarithm)...
-
series History of
logarithms Hyperbolic sector Iterated logarithm Otis King Law of the
iterated logarithm Linear form in
logarithms Linearithmic List...