List questions from chinese-remainder-theorem

Published on 13 Apr 2020 - 11:02

1.2k

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CRT solvability for congruence systems of fraction form $\ a_i x\equiv b_i\pmod{\!m_i}$

Published on 13 Apr 2020 - 15:29

168

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System of congruences where $\gcd(m, n)\ne1$

Published on 15 Apr 2020 - 15:32

106

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How to solve a system of linear congruences?

Published on 18 Apr 2020 - 3:31

83

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Let $\varphi\colon R\to(R/I)\oplus(R/J)$ where $\varphi(r) = (r + I, r + J)$. Show $\varphi$ is an isomorphism iff $I + J = R$ and $I \cap J = \{0\}$.

Published on 26 Mar 2026 - 8:02

273

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How to solve the following system using Chinese Remainder Theorem?

Published on 25 Apr 2020 - 3:35

70

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Compute a cardinality using Chinese remainder theorem

Published on 03 May 2020 - 4:19

41

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Computing the remainder of two numbers in CRT form

Published on 14 May 2020 - 21:34

67

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A more efficient way to solve system of congruences?

Published on 21 May 2020 - 2:57

54

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Am I going correctly?

Published on 23 May 2020 - 16:49

165

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What $x$ satisfies $x^2 \equiv x \pmod{n}$ for arbitrary $n \in \mathbb{N}$?

Published on 23 May 2020 - 18:33

186

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How to apply Chinese Remainder Theorem to polynomials

Published on 26 Mar 2026 - 14:33

871

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Solving system of congurences with the Chinese Remainder Theorem

Published on 28 May 2020 - 20:30

185

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Understanding a specific method for applying the Chinese Remainder Theorem and its implications with regard to the lower bound of a solution

Published on 05 Jun 2020 - 9:37

1k

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Use the Chinese Remainder Theorem to determine the value of $x$.

Published on 06 Jun 2020 - 15:26

List Question

Fastest way to solve $x^3\equiv x \pmod{105}$

CRT solvability for congruence systems of fraction form $\ a_i x\equiv b_i\pmod{\!m_i}$

System of congruences where $\gcd(m, n)\ne1$

How to solve a system of linear congruences?

Let $\varphi\colon R\to(R/I)\oplus(R/J)$ where $\varphi(r) = (r + I, r + J)$. Show $\varphi$ is an isomorphism iff $I + J = R$ and $I \cap J = \{0\}$.

How to solve the following system using Chinese Remainder Theorem?

Compute a cardinality using Chinese remainder theorem

Computing the remainder of two numbers in CRT form

A more efficient way to solve system of congruences?

Am I going correctly?

What $x$ satisfies $x^2 \equiv x \pmod{n}$ for arbitrary $n \in \mathbb{N}$?

How to apply Chinese Remainder Theorem to polynomials

Solving system of congurences with the Chinese Remainder Theorem

Understanding a specific method for applying the Chinese Remainder Theorem and its implications with regard to the lower bound of a solution

Use the Chinese Remainder Theorem to determine the value of $x$.

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