- 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...
- (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...
-
known universe), the
iterated logarithm with base 2 has a
value no more than 5.
Higher bases give
smaller iterated logarithms. Indeed, the only function...
- is
taken to be 0. The
logarithms in this
formula are
usually taken (as
shown in the graph) to the base 2. See
binary logarithm. When p = 1 2 {\displaystyle...
- the
logarithms of
rational numbers r = a/b are
computed with ln(r) = ln(a) − ln(b), and
logarithms of
roots via ln n√c = 1/n ln(c). The
logarithm of 2...
- \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...
- In
computer science,
binary search, also
known as half-interval search,
logarithmic search, or
binary chop, is a
search algorithm that
finds the position...
