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O que (quem) é symmetric dyadic - definição

RATIONAL NUMBER WHOSE DENOMINATOR IS A POWER OF TWO

Dyadic solenoid; Dyadic fraction; Dyadic rational number; Dyadic rationals; Dyadic numbers

$Real numbers with no unusually-accurate dyadic rational approximations. The red circles surround numbers that are approximated within error <math>\tfrac16/2^i</math> by <math>n/2^i</math>. For numbers in the fractal [[Cantor set]] outside the circles, all dyadic rational approximations have larger errors.$
$Dyadic rational approximations to the [[square root of 2]] (<math>\sqrt{2}\approx 1.4142</math>), found by rounding to the nearest smaller integer multiple of <math>1/2^i</math> for <math>i=0,1,2,\dots</math> The height of the pink region above each approximation is its error.$

Elementary symmetric polynomial

HOMOGENEOUS SYMMETRIC POLYNOMIAL IN WHICH EACH POSSIBLE MONOMIAL OCCURS EXACTLY ONCE WITH COEFFICIENT 1

Elementary symmetric function; Elementary symmetric polynomials; Fundamental theorem of symmetric polynomials; Fundamental Theorem of Symmetric Polynomials

In mathematics, specifically in commutative algebra, the elementary symmetric polynomials are one type of basic building block for symmetric polynomials, in the sense that any symmetric polynomial can be expressed as a polynomial in elementary symmetric polynomials. That is, any symmetric polynomial is given by an expression involving only additions and multiplication of constants and elementary symmetric polynomials.

https://en.wikipedia.org/wiki/Elementary_symmetric_polynomial

Symmetric-key algorithm

ALGORITHM

Symmetric Algorithms; Symmetric key; Symmetric encryption; Symmetric key cryptography; Symmetric cypher; Shared key; Symmetric cipher; Symmetric-key cipher; Symmetric key algorithms; Symmetric cryptography; Private-key cryptography; Symmetric key encryption; Symmetric key algorithm; Reciprocal cipher; Reciprocal encipherment; Private key cryptography; Symmetric-key encryption algorithm; Symmetric-key cryptography; Private-key; Symmetric algorithm; Private-key encryption; Symmetrical encryption

Symmetric-key algorithms are algorithms for cryptography that use the same cryptographic keys for both the encryption of plaintext and the decryption of ciphertext. The keys may be identical, or there may be a simple transformation to go between the two keys.

https://en.wikipedia.org/wiki/Symmetric-key_algorithm

symmetric key cryptography

ALGORITHM

Symmetric Algorithms; Symmetric key; Symmetric encryption; Symmetric key cryptography; Symmetric cypher; Shared key; Symmetric cipher; Symmetric-key cipher; Symmetric key algorithms; Symmetric cryptography; Private-key cryptography; Symmetric key encryption; Symmetric key algorithm; Reciprocal cipher; Reciprocal encipherment; Private key cryptography; Symmetric-key encryption algorithm; Symmetric-key cryptography; Private-key; Symmetric algorithm; Private-key encryption; Symmetrical encryption

<cryptography> A cryptography system in which both parties have the same encryption key, as in {secret key cryptography}. Opposite: public-key cryptography. (1998-06-09)

Wikipédia

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 $\mathbb {Z} [{\tfrac {1}{2}}]$ .

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.

https://en.wikipedia.org/wiki/Dyadic rational