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Что (кто) такое modular arithmetic - определение
SYSTEM OF ALGEBRAIC OPERATIONS DEFINED FOR REMAINDERS UNDER DIVISION BY A FIXED POSITIVE INTEGER; SYSTEM OF ARITHMETIC FOR INTEGERS, WHERE NUMBERS "WRAP AROUND" UPON REACHING A CERTAIN VALUE—THE MODULUS
ModularArithmetic; Modulo arithmetic; Clock arithmetic; Residue class; Mod out; Integers mod n; Advanced modular arithmetic theory; Modular arithmetic theory; Common residue; Modular multiplication; Modular Math; Modular arithmatic; Complete set of residues; Congruence arithmetic; Modular arithmetics; Congruence class; Modulo Arithmetic; Modular Arithmetic; Clock Arithmetic; Modular division; Z/nZ; Mod division; Modular math; Modulus arithmetic; Integers modulo n; Congruence modulo n; Least residue system modulo m; Complete residue system modulo m; Mod 12; Congruence modulo m; Z/n; Applications of modular arithmetic; Ring of integers modulo n; Modulus (modular arithmetic); Congruent (integers); Congruence (integers); Modulo 24
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modular arithmetic
<mathematics> (Or "clock arithmetic") A kind of integer
arithmetic that reduces all numbers to one of a fixed set
[0..N-1 ] (this would be "modulo N arithmetic") by effectively
repeatedly adding or subtracting N (the "modulus") until the
result is within this range.
The original mathematical usage considers only __equivalence__
modulo N. The numbers being compared can take any values,
what matters is whether they differ by a multiple of N.
Computing usage however, considers modulo to be an operator
that returns the remainder after integer division of its first
argument by its second.
Ordinary "clock arithmetic" is like modular arithmetic except
that the range is [1..12 ] whereas modulo 12 would be [0..11 ].
(2003-03-28)
modulo arithmetic
Modular weapon system
MODULAR FIREARM WHICH EASILY CAN BE RECONFIGURED FOR VARIOUS APPLICATIONS, FOR EXAMPLE BY CHANGING CHAMBERING OR BARREL LENGTH
Modular Weapons System; Modular Weapon; Modular weapon; Modular Weapon System
A modular weapon system (MWS) is any weapon equipment which has removable core components (or "modules") that can be reconfigured/interchanged to give the weapon different capabilities to adapt to various applications. Modularity can provide several advantages to military organizations, such as the versatility of allowing units to quickly tailor their weapons to best suit the immediate tactical needs, to quickly repair/exchange malfunctioned components, and to reduce overall logistical burdens and costs.
Modular connector
![crimped]] onto a cable (with molded sleeve).](https://commons.wikimedia.org/wiki/Special:FilePath/Uncrimped rj-45 connector close-up.jpg?width=200 "crimped]] onto a cable (with molded sleeve).")
COMMON ELECTRICAL CONNECTOR E.G. USED IN TELEPHONE (POTS, ISDN) AND COMPUTER NETWORKS (ETHERNET)
RJ-50; 10P10C; 4P4C; RJ45; RJ50; RJ9; 8 Position 8 Contact; 8P2C; 6P6C; RJ10; RJ-10; RJ22; 6P4C; 8P8C; Modular jack; Modular plug; Snagless; 6P2C; 8p8c modular connector; 8P8C modular connector; RJ45 (computers); 8P4C; 8P8C connector
A modular connector is a type of electrical connector for cords and cables of electronic devices and appliances, such as in computer networking, telecommunication equipment, and audio headsets.
RJ45
COMMON ELECTRICAL CONNECTOR E.G. USED IN TELEPHONE (POTS, ISDN) AND COMPUTER NETWORKS (ETHERNET)
RJ-50; 10P10C; 4P4C; RJ45; RJ50; RJ9; 8 Position 8 Contact; 8P2C; 6P6C; RJ10; RJ-10; RJ22; 6P4C; 8P8C; Modular jack; Modular plug; Snagless; 6P2C; 8p8c modular connector; 8P8C modular connector; RJ45 (computers); 8P4C; 8P8C connector
Registered Jack 45 (Reference: cable)
Arithmetic geometry
![The [[hyperelliptic curve]] defined by <math>y^2=x(x+1)(x-3)(x+2)(x-2)</math> has only finitely many [[rational point]]s (such as the points <math>(-2, 0)</math> and <math>(-1, 0)</math>) by [[Faltings's theorem]].](https://commons.wikimedia.org/wiki/Special:FilePath/Example of a hyperelliptic curve.svg?width=200 "The [[hyperelliptic curve]] defined by <math>y^2=x(x+1)(x-3)(x+2)(x-2)</math> has only finitely many [[rational point]]s (such as the points <math>(-2, 0)</math> and <math>(-1, 0)</math>) by [[Faltings's theorem]].")
BRANCH OF ALGEBRAIC GEOMETRY FOCUSED ON PROBLEMS IN NUMBER THEORY
Arithmetical algebraic geometry; Arithmetic Geometry; Arithmetic algebraic geometry; Arithmetic Algebraic Geometry
In mathematics, arithmetic geometry is roughly the application of techniques from algebraic geometry to problems in number theory. Arithmetic geometry is centered around Diophantine geometry, the study of rational points of algebraic varieties.
Arithmetic progression
SEQUENCE OF NUMBERS WITH CONSTANT DIFFERENCES BETWEEN CONSECUTIVE NUMBERS
Arithmetic series; Arithmetic Progression; Arithmetic sequence; Arithmetic progressions; Arithmetical progression; Land-1; Arithmatic series; Arithmatic progression; Arithmetic Series; Arithmetic sum; Infinite arithmetic series; Infinite arithmetic sequence; Progression (arithmetic series); Common difference; Linear sequence
An arithmetic progression or arithmetic sequence () is a sequence of numbers such that the difference between the consecutive terms is constant. For instance, the sequence 5, 7, 9, 11, 13, 15, .
Weber modular function
FAMILY OF THREE FUNCTIONS BY HEINRICH MARTIN WEBER
Weber's modular function; Weber modular functions; Weber's modular functions
In mathematics, the Weber modular functions are a family of three functions f, f1, and f2,f, f1 and f2 are not modular functions (per the Wikipedia definition), but every modular function is a rational function in f, f1 and f2. Some authors use a non-equivalent definition of "modular functions".
arithmetic progression
SEQUENCE OF NUMBERS WITH CONSTANT DIFFERENCES BETWEEN CONSECUTIVE NUMBERS
Arithmetic series; Arithmetic Progression; Arithmetic sequence; Arithmetic progressions; Arithmetical progression; Land-1; Arithmatic series; Arithmatic progression; Arithmetic Series; Arithmetic sum; Infinite arithmetic series; Infinite arithmetic sequence; Progression (arithmetic series); Common difference; Linear sequence
(also arithmetic series)
¦ noun a sequence of numbers in which each differs from the preceding one by a constant quantity (e.g. 1, 2, 3, 4, etc.; 9, 7, 5, 3, etc.).
Arbitrary-precision arithmetic
CALCULATIONS WHERE NUMBERS' PRECISION IS ONLY LIMITED BY COMPUTER MEMORY
Bignum; Infinite precision arithmetic; Bigint; Arbitrary precision; Arbitrary precision arithmetic; Bignums; Infinite-precision arithmetic; Bigfloat; Multi-length arithmetic; BigNum; Arbitrary-precision; Multi-precision; Multiple precision integer; Bignum arithmetic; Java.math.BigInteger; Java.math.BigDecimal; String math; Multiprecision; Big num; Infinite precision; Multiprecision arithmetic
In computer science, arbitrary-precision arithmetic, also called bignum arithmetic, multiple-precision arithmetic, or sometimes infinite-precision arithmetic, indicates that calculations are performed on numbers whose digits of precision are limited only by the available memory of the host system. This contrasts with the faster fixed-precision arithmetic found in most arithmetic logic unit (ALU) hardware, which typically offers between 8 and 64 bits of precision.
Википедия
Modular arithmetic
In mathematics, modular arithmetic is a system of arithmetic for integers, where numbers "wrap around" when reaching a certain value, called the modulus. The modern approach to modular arithmetic was developed by Carl Friedrich Gauss in his book Disquisitiones Arithmeticae, published in 1801.
A familiar use of modular arithmetic is in the 12-hour clock, in which the day is divided into two 12-hour periods. If the time is 7:00 now, then 8 hours later it will be 3:00. Simple addition would result in 7 + 8 = 15, but clocks "wrap around" every 12 hours. Because the hour number starts over at zero when it reaches 12, this is arithmetic modulo 12. In terms of the definition below, 15 is congruent to 3 modulo 12, so "15:00" on a 24-hour clock is displayed "3:00" on a 12-hour clock.
