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Is Euclid's algorithm for the GCD of two numbers wrong?

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#euclidean-algorithm
176
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Do we need to apply the Euclidean Algorithm before applying the Extended Euclidean Algorithm?

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#elementary-number-theory #divisibility #euclidean-algorithm #gcd-and-lcm
1.5k
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A lot of confusion in the "Polynomial Remainder Theorem"?

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#algebra-precalculus #polynomials #definition #euclidean-algorithm
1.3k
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Proving Bezout's Theorem

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#number-theory #euclidean-algorithm
578
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Incommensurable line segments

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#euclidean-geometry #euclidean-algorithm
100
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Number Theory- Mathematical Proof

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#number-theory #proof-writing #induction #divisibility #euclidean-algorithm
120
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Using identities from Euclid's algorithm to solve problems

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#elementary-number-theory #gcd-and-lcm #euclidean-algorithm
64
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Extension of Isovist concept for a point - to Isovist for a polygon

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#algorithms #euclidean-geometry #computational-geometry #geometric-construction #euclidean-algorithm
211
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Are the ring of integers of the constructible numbers a Euclidean domain?

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#reference-request #algebraic-number-theory #principal-ideal-domains #euclidean-algorithm
3.2k
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Show that $\gcd(m, n) = \gcd(n, r)$

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#elementary-number-theory #euclidean-algorithm
62
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Linear diophantic equation

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#euclidean-algorithm #linear-diophantine-equations
632
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Why gcd(a,b) is the same as solving for gcd(b,a-b) in the Euclidean algorithm

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#gcd-and-lcm #euclidean-algorithm
157
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Proof of a complete residue system without using congruences

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#number-theory #elementary-number-theory #euclidean-algorithm
26
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Figuring out variable pairs in an inequality

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#elementary-number-theory #inequality #diophantine-equations #integers #euclidean-algorithm
40
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Segment direction in polar plane

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#geometry #algorithms #euclidean-geometry #polar-coordinates #euclidean-algorithm

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