Definition of Binary logarithms. Meaning of Binary logarithms. Synonyms of Binary logarithms

Here you will find one or more explanations in English for the word Binary logarithms. Also in the bottom left of the page several parts of wikipedia pages related to the word Binary logarithms and, of course, Binary logarithms synonyms and on the right images related to the word Binary logarithms.

Definition of Binary logarithms

Binary logarithms
Binary Bi"na*ry, a. [L. binarius, fr. bini two by two, two at a time, fr. root of bis twice; akin to E. two: cf. F. binaire.] Compounded or consisting of two things or parts; characterized by two (things). Binary arithmetic, that in which numbers are expressed according to the binary scale, or in which two figures only, 0 and 1, are used, in lieu of ten; the cipher multiplying everything by two, as in common arithmetic by ten. Thus, 1 is one; 10 is two; 11 is three; 100 is four, etc. --Davies & Peck. Binary compound (Chem.), a compound of two elements, or of an element and a compound performing the function of an element, or of two compounds performing the function of elements. Binary logarithms, a system of logarithms devised by Euler for facilitating musical calculations, in which 1 is the logarithm of 2, instead of 10, as in the common logarithms, and the modulus 1.442695 instead of .43429448. Binary measure (Mus.), measure divisible by two or four; common time. Binary nomenclature (Nat. Hist.), nomenclature in which the names designate both genus and species. Binary scale (Arith.), a uniform scale of notation whose ratio is two. Binary star (Astron.), a double star whose members have a revolution round their common center of gravity. Binary theory (Chem.), the theory that all chemical compounds consist of two constituents of opposite and unlike qualities.

Meaning of Binary logarithms from wikipedia

- 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...