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Gauss Lemma

「Gauss Lemma」文章包含有:「abstractalgebra」、「Gauss'slemma」、「Gauss'slemma(numbertheory)」、「Gauss'sLemma(Polynomial)」、「Gauss'slemma(polynomials)」、「Gauss'slemma(Riemanniangeometry)」、「代數導論二Week5(Part4)」

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abstract algebra
abstract algebra

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Gauss's Lemma Proof ... is irreducible in Q[x] if and only if it is irreducible in Z[x]. More precisely, if f(x)∈Z[x], then f(x) factors into a ...

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Gauss's lemma
Gauss's lemma

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Gauss's lemma (polynomials), the greatest common divisor of the coefficients is a multiplicative function · Gauss's lemma (number theory), condition under which ...

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Gauss's lemma (number theory)
Gauss's lemma (number theory)

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Gauss's lemma in number theory gives a condition for an integer to be a quadratic residue. Although it is not useful computationally, it has theoretical ...

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Gauss's Lemma (Polynomial)
Gauss's Lemma (Polynomial)

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In algebra, Gauss's lemma, named after Carl Friedrich Gauss, is a statement about polynomials over the integers, or, more generally, ...

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Gauss's lemma (polynomials)
Gauss's lemma (polynomials)

https://en.wikipedia.org

In algebra, Gauss's lemma, named after Carl Friedrich Gauss, is a statement about polynomials over the integers, or, more generally, over a unique ...

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Gauss's lemma (Riemannian geometry)
Gauss's lemma (Riemannian geometry)

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In Riemannian geometry, Gauss's lemma asserts that any sufficiently small sphere centered at a point in a Riemannian manifold is perpendicular to every ...

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代數導論二Week 5 (Part 4)
代數導論二Week 5 (Part 4)

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定理:Gauss Lemma · 隨便挑一個因式分解的irreducible factor,比如說挑3 3 。這表示右邊的那堆東西會在R[x] R [ x ] 中(3) ( 3 ) 這個ideal 裡面: · 這表示右邊存在一個 ...