dyadic fraction - vertaling naar russisch
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dyadic fraction - vertaling naar russisch

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 fraction         

математика

двоичная дробь

dyadic solenoid         

математика

диадический соленоид

dyadic rational         

общая лексика

двоично-рациональный

Definitie

dyadic
<programming> binary (describing an operator). Compare monadic. (1998-07-24)

Wikipedia

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.

Vertaling van &#39dyadic fraction&#39 naar Russisch