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cyclic semigroup - translation to russian

GENERALIZATION OF THE EXPONENTIAL FUNCTION

C0 semigroup; Strongly continuous semigroup; One-parameter semigroup; Diffusion semigroup; Mild solution

cyclic semigroup

SEMIGROUP GENERATED BY A SINGLE ELEMENT

Cyclic semigroup; Periodic semigroup

математика

циклическая полугруппа

monogenic semigroup

SEMIGROUP GENERATED BY A SINGLE ELEMENT

Cyclic semigroup; Periodic semigroup

математика

моногенная полугруппа

periodic semigroup

SEMIGROUP GENERATED BY A SINGLE ELEMENT

Cyclic semigroup; Periodic semigroup

математика

периодическая полугруппа

Definition

cyclic redundancy check

<algorithm> (CRC or "cyclic redundancy code") A number derived from, and stored or transmitted with, a block of data in order to detect corruption. By recalculating the CRC and comparing it to the value originally transmitted, the receiver can detect some types of transmission errors. A CRC is more complicated than a checksum. It is calculated using division either using shifts and exclusive ORs or table lookup (modulo 256 or 65536). The CRC is "redundant" in that it adds no information. A single corrupted bit in the data will result in a one bit change in the calculated CRC but multiple corrupted bits may cancel each other out. CRCs treat blocks of input bits as coefficient-sets for polynomials. E.g., binary 10100000 implies the polynomial: 1*x^7 + 0*x^6 + 1*x^5 + 0*x^4 + 0*x^3 + 0*x^2 + 0*x^1 + 0*x^0. This is the "message polynomial". A second polynomial, with constant coefficients, is called the "generator polynomial". This is divided into the message polynomial, giving a quotient and remainder. The coefficients of the remainder form the bits of the final CRC. So, an order-33 generator polynomial is necessary to generate a 32-bit CRC. The exact bit-set used for the generator polynomial will naturally affect the CRC that is computed. Most CRC implementations seem to operate 8 bits at a time by building a table of 256 entries, representing all 256 possible 8-bit byte combinations, and determining the effect that each byte will have. CRCs are then computed using an input byte to select a 16- or 32-bit value from the table. This value is then used to update the CRC. Ethernet packets have a 32-bit CRC. Many disk formats include a CRC at some level. (1997-08-02)

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Wikipedia

C0-semigroup

In mathematics, a C₀-semigroup, also known as a strongly continuous one-parameter semigroup, is a generalization of the exponential function. Just as exponential functions provide solutions of scalar linear constant coefficient ordinary differential equations, strongly continuous semigroups provide solutions of linear constant coefficient ordinary differential equations in Banach spaces. Such differential equations in Banach spaces arise from e.g. delay differential equations and partial differential equations.

Formally, a strongly continuous semigroup is a representation of the semigroup (R₊, +) on some Banach space X that is continuous in the strong operator topology. Thus, strictly speaking, a strongly continuous semigroup is not a semigroup, but rather a continuous representation of a very particular semigroup.

https://en.wikipedia.org/wiki/C0-semigroup

What is the Russian for cyclic semigroup? Translation of &#39cyclic semigroup&#39 to Russian