dyadic operator - translation to ρωσικά
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dyadic operator - translation to ρωσικά

RATIONAL NUMBER WHOSE DENOMINATOR IS A POWER OF TWO
Dyadic solenoid; Dyadic fraction; Dyadic rational number; Dyadic rationals; Dyadic numbers
  • Real numbers with no unusually-accurate dyadic rational approximations. The red circles surround numbers that are approximated within error <math>\tfrac16/2^i</math> by <math>n/2^i</math>. For numbers in the fractal [[Cantor set]] outside the circles, all dyadic rational approximations have larger errors.
  • alt=Unit interval subdivided into 1/128ths
  • Dyadic rational approximations to the [[square root of 2]] (<math>\sqrt{2}\approx 1.4142</math>), found by rounding to the nearest smaller integer multiple of <math>1/2^i</math> for <math>i=0,1,2,\dots</math> The height of the pink region above each approximation is its error.

dyadic operator      

математика

двухместный оператор

binary operation         
  • A binary operation <math>\circ</math> is a rule for combining the arguments <math>x</math> and <math>y</math> to produce <math>x\circ y</math>
MATHEMATICAL OPERATION THAT COMBINES TWO ELEMENTS TO PRODUCE ANOTHER ELEMENT
BinaryOperation; Binary operations; Binary operator; External operation; Binary operad; Dyadic function; Dyadic operation; Partial operation; Binary operators; Dyadic functor; Binary functor; External binary operation; Internal binary operation

общая лексика

бинарная операция

операция с двумя операндами, например умножение

антоним

unary operation

Смотрите также

arithmetic operation; arity

dyadic function         
  • A binary operation <math>\circ</math> is a rule for combining the arguments <math>x</math> and <math>y</math> to produce <math>x\circ y</math>
MATHEMATICAL OPERATION THAT COMBINES TWO ELEMENTS TO PRODUCE ANOTHER ELEMENT
BinaryOperation; Binary operations; Binary operator; External operation; Binary operad; Dyadic function; Dyadic operation; Partial operation; Binary operators; Dyadic functor; Binary functor; External binary operation; Internal binary operation

математика

диадическая функция

Ορισμός

Del

Βικιπαίδεια

Dyadic rational

In mathematics, a dyadic rational or binary rational is a number that can be expressed as a fraction whose denominator is a power of two. For example, 1/2, 3/2, and 3/8 are dyadic rationals, but 1/3 is not. These numbers are important in computer science because they are the only ones with finite binary representations. Dyadic rationals also have applications in weights and measures, musical time signatures, and early mathematics education. They can accurately approximate any real number.

The sum, difference, or product of any two dyadic rational numbers is another dyadic rational number, given by a simple formula. However, division of one dyadic rational number by another does not always produce a dyadic rational result. Mathematically, this means that the dyadic rational numbers form a ring, lying between the ring of integers and the field of rational numbers. This ring may be denoted Z [ 1 2 ] {\displaystyle \mathbb {Z} [{\tfrac {1}{2}}]} .

In advanced mathematics, the dyadic rational numbers are central to the constructions of the dyadic solenoid, Minkowski's question-mark function, Daubechies wavelets, Thompson's group, Prüfer 2-group, surreal numbers, and fusible numbers. These numbers are order-isomorphic to the rational numbers; they form a subsystem of the 2-adic numbers as well as of the reals, and can represent the fractional parts of 2-adic numbers. Functions from natural numbers to dyadic rationals have been used to formalize mathematical analysis in reverse mathematics.

Μετάφραση του &#39dyadic operator&#39 σε Ρωσικά