logarithmus dualis - definizione. Che cos'è logarithmus dualis
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Cosa (chi) è logarithmus dualis - definizione

MATHEMATICAL FUNCTION
Logarithm of the base 2; Log2; Logarithmus dualis; Logarithmus binaris; Base-2 logarithm; Base 2 logarithm; Logarithmus dyadis; Dyadic logarithm; Base-two logarithm
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  • [[Binary search]] in a sorted array, an algorithm whose time complexity involves binary logarithms
  • [[HP-35]] [[scientific calculator]] (1972). The log and ln keys are in the top row; there is no log<sub>2</sub>{{hsp}}key.
  • [[Leonhard Euler]] was the first to apply binary logarithms to [[music theory]], in 1739.
  • A [[microarray]] for approximately 8700 genes. The expression rates of these genes are compared using binary logarithms.
  • tournament bracket]] with the structure of a [[complete binary tree]]. The height of the tree (number of rounds of the tournament) is the binary logarithm of the number of players, rounded up to an integer.

logarithmus dualis         
<mathematics> (ld) Latin for logarithm base two. More commonly written as "log" with a subscript "2". Roughly the number of bits required to represent an integer. (1999-03-19)
Aethiophysa dualis         
SPECIES OF INSECT
Glaphyria dualis
Aethiophysa dualis is a moth in the family Crambidae first described by William Barnes and James Halliday McDunnough in 1914. It is found in North America, where it has been recorded from Texas.
Nissan Qashqai         
  • 2010 Nissan Dualis (Japan)
COMPACT CROSSOVER SUV BY NISSAN
Nissan Dualis; Nissan qashqai; QashQai; Dongfeng Qashqai; Nissan Rogue Sport; Nissan Qashqai J11
The Nissan Qashqai () is a compact crossover SUV (C-segment) developed and produced by the Japanese car manufacturer Nissan since 2006. The first generation of the vehicle was sold under the name in Japan and Australia, and Qashqai in other markets.

Wikipedia

Binary logarithm

In mathematics, the binary logarithm (log2n) is the power to which the number 2 must be raised to obtain the value n. That is, for any real number x,

x = log 2 n 2 x = n . {\displaystyle x=\log _{2}n\quad \Longleftrightarrow \quad 2^{x}=n.}

For example, the binary logarithm of 1 is 0, the binary logarithm of 2 is 1, the binary logarithm of 4 is 2, and the binary logarithm of 32 is 5.

The binary logarithm is the logarithm to the base 2 and is the inverse function of the power of two function. As well as log2, an alternative notation for the binary logarithm is lb (the notation preferred by ISO 31-11 and ISO 80000-2).

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 gives the number of octaves by which the tones differ. Binary logarithms can be used to calculate the length of the representation of a number in the binary numeral system, or the number of bits needed to encode a message in information theory. In computer science, they count the number of steps needed for binary search and related algorithms. Other areas in which the binary logarithm is frequently used include combinatorics, bioinformatics, the design of sports tournaments, and photography.

Binary logarithms are included in the standard C mathematical functions and other mathematical software packages. The integer part of a binary logarithm can be found using the find first set operation on an integer value, or by looking up the exponent of a floating point value. The fractional part of the logarithm can be calculated efficiently.