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Modularnu aritmetiku je uveo Karl Fridrih Gaus u svom čuvenom delu Disquisitiones Arithmeticae, objavljenom 1801 . Opštepoznata primena modularne aritmetike je u 24-časovnom merenju vremena: dan traje od ponoći do Teorija kongruencija predstavlja još jedno naslijeđe Carla Friedricha Gaußa, koji je ovu tehniku, poznatu i pod nazivom modularna aritmetika, zasnovao u svom djelu Disquisitiones Arithmeticae, objavljenom 1801. Spomenuta knjiga se sastojala od sedam poglavlja, od kojih je prvih šest bilo posvećeno teoriji brojeva. Svakodnevni primjer ove teorije srećemo pri mjerenju vremena, gdje koristimo takozvanu aritmetiku modulo 12 dijeleći dan na dva perioda u trajanju od 12 sati. 2015-07-25 · “In mathematics, modular arithmetic is a system of arithmetic for integers, where numbers “wrap around” upon reaching a certain value—the modulus.” – Wiki The clock is a good example for modular arithmetic. Let’s say $12$’o clock means $0$. Then clock shows the following values, ${0,1,2,3,4,5,6,7,8,9,10,11,0,1,2,3…}$.

Modular aritmetik

We ended up at 0 so . With a modulus of 2 we make a clock with numbers 0, 1. We start at 0 and go through 7 numbers in a clockwise sequence 1, 0, 1, 0, 1, 0, 1. Modular Arithmetic is a fundamental component of cryptography. In this video, I explain the basics of modular arithmetic with a few simple examples.Join this 2020-05-04 · Modular Arithmetic. Modular arithmetic is the branch of arithmetic mathematics related with the “mod” functionality. Basically, modular arithmetic is related with computation of “mod” of expressions.

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Modulär aritmetik - Teknologi - 2021 - continuousdev

Detta är grunden Aritmetik, Primtal och delare,. Induktionsbevis.

56. Ekvationslösning i modulär aritmetik. 3.4.
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Sort by: Top Voted. Modulo Challenge. Congruence relation. Up Next. Congruence relation. Our mission is to provide a free, world-class education to anyone, anywhere.

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Primality test. Sort by: Top Voted. The quotient remainder theorem. Modular addition. Up Next. Modular addition.

Salah satu contoh dari aritmetika modular ada pada sistem 12-jam, di mana hari dibagi menjadi dua periode … Modularna aritmetika predstavlja aritmetički sistem kod koga se brojevi vraćaju u krug, nakon što dostignu određenu vrednost — modulo. Modularnu aritmetiku je uveo Karl Fridrih Gaus u svom čuvenom delu Disquisitiones Arithmeticae, objavljenom 1801 .
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(b) Do there exist integer solutions to x2 + y2 = z2? Yes: solutions are side-lengths of right-angled triangles, such as 3, 4,5 or 5, 12,13. Applications. Modular arithmetic is referenced in number theory, group theory, ring theory, knot theory, abstract algebra, cryptography, computer science, chemistry and the visual and musical arts.. It is one of the foundations of number theory, touching on almost every aspect of its study, and provides key examples for group theory, ring theory and abstract algebra. Fast Modular Exponentiation.