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Matrix notation for weighted sum of squares

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#least-squares #sums-of-squares #weighted-least-squares
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How many numbers up to $x$ are sums of two squares?

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#number-theory #sums-of-squares
844
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Diophantine equation $a^2+b^2+c^2=a^2b^2$

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#number-theory #diophantine-equations #sums-of-squares
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How to prove that all primes of the form $4k+1$ can be represented by the sum of two squares in only one way regardless of the order?

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#number-theory #prime-numbers #sums-of-squares
99
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Pythagoras theorem quick calculation

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#algebra-precalculus #elementary-number-theory #square-numbers #sums-of-squares
1.1k
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Sum of a Sequence of Odd Numbers that are Squared

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#discrete-mathematics #summation #sums-of-squares #telescopic-series
116
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Positive integers have the form $a^2+b^2+c^2+2^d$

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#elementary-number-theory #conjectures #sums-of-squares
81
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Optimization of sum of squares over permutations

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#optimization #permutations #sums-of-squares #rearrangement-inequality
651
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Exploiting a Diophantine approximation of $\pi^4$ into giving a series of rationals for $\pi^4$

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#sequences-and-series #analytic-number-theory #elliptic-curves #sums-of-squares #diophantine-approximation
205
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Can a positive polynomial on sphere be represented as the sum of squares of spherical harmonics

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#polynomials #special-functions #sums-of-squares
44
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How to show that sum of squares is n times of mean?

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#sums-of-squares
125
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Sums of powers of algebraic numbers that are rational

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#field-theory #algebraic-number-theory #extension-field #sums-of-squares
44
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How to find how similar two vectors are, while giving weight to their lengths?

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#linear-algebra #statistics #vectors #sums-of-squares
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Product of two numbers which are expressable as the sum of two perfect squares

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#elementary-number-theory #complex-numbers #sums-of-squares
5.7k
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How do the normal equations *always* have a solution?

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#linear-algebra #linear-transformations #regression #least-squares #sums-of-squares

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