Categories
Tags
Sums-of-squares
New post in Sums-of-squares
Is this the general solution of finding the two original squares that add up to a given integer N?
August 1st, 2022
sums-of-squares
elementary-number-theory
how can i calculate square sum of all the products of the summation?
October 24th, 2020
sums-of-squares
How can I add 2 squares geometrically to get a bigger square?
August 1st, 2022
sums-of-squares
geometry
Why is the square root of a sum not equal to the square root of each its addends?
March 30th, 2020
algebra-precalculus
sums-of-squares
Put quadratic form into sum of squares
December 8th, 2020
matrices
quadratic-forms
sums-of-squares
linear-algebra
Sums of squares minus square of sums
March 31st, 2020
sums-of-squares
Representing a given number as the sum of two squares.
August 1st, 2022
number-theory
sums-of-squares
A prime congruent to 3 modulo 4 & sums of squares
August 1st, 2022
elementary-number-theory
sums-of-squares
Find the value of: $\frac{\sqrt{45} + \sqrt{18}} {\sqrt{7+2\sqrt{10}}}$
August 1st, 2022
contest-math
sums-of-squares
square-numbers
Value of: $ \frac {1} {\sqrt {4} + \sqrt {5}} + \frac {1} {\sqrt {5} + \sqrt {6}} + ... + \frac {1} {\sqrt {80} + \sqrt {81}}$
February 13th, 2020
radicals
sums-of-squares
Number of integer lattice points within a circle
September 19th, 2020
sums-of-squares
elementary-number-theory
circles
integer-lattices
integer solutions to $x^2+y^2+z^2+t^2 = w^2$
September 29th, 2020
diophantine-equations
number-theory
sums-of-squares
Polynomial equal to sum of squares of polynomials
August 1st, 2022
real-algebraic-geometry
sum-of-squares-method
sums-of-squares
polynomials
algebra-precalculus
$2017$ as the sum of two squares
August 1st, 2022
elementary-number-theory
sums-of-squares
modular-arithmetic
Represent an integer as a sum of n non-consecutive squares
August 1st, 2022
sums-of-squares
Determine if a positive integer is a sum of two positive squares
October 10th, 2020
number-theory
elementary-number-theory
sums-of-squares
Show that if $n\equiv 3, 6 \pmod9 $ then $n$ is not a sum of two squares
August 1st, 2022
sums-of-squares
elementary-number-theory
modular-arithmetic
Supposed $a,b \in \mathbb{Z}$. If $ab$ is odd, then $a^{2} + b^{2}$ is even.
August 1st, 2022
divisibility
sums-of-squares
square-numbers
elementary-number-theory
Sum of squares of two integers divisible by five
August 1st, 2022
sums-of-squares
natural-numbers
probability
Finite sum $\sum_{j=0}^{n-1} j^2$
April 23rd, 2020
algebra-precalculus
sums-of-squares
summation
calculus
Upper bound on sum of square of integers
August 12th, 2022
sums-of-squares
writing $pq$ as a sum of squares for primes $p,q$
March 7th, 2020
sums-of-squares
number-theory
Find three numbers given their sum, product and sum of their squares
August 1st, 2022
linear-algebra
number-theory
polynomials
sums-of-squares
Maximize sum of squares
August 1st, 2022
sums-of-squares
optimization
How do the normal equations *always* have a solution?
August 1st, 2022
least-squares
regression
linear-algebra
sums-of-squares
linear-transformations
Algorithm for finding the representation of an integer as a sum of two squares
June 17th, 2020
algorithms
sums-of-squares
number-theory
The number of ways of writing an integer as a sum of two squares
August 1st, 2022
sums-of-squares
prime-numbers
elementary-number-theory
At least one member of a pythagorean triple is even
August 1st, 2022
square-numbers
diophantine-equations
elementary-number-theory
pythagorean-triples
sums-of-squares
Find rational points on $x^2 + y^2 = 3$ and on $x^2 + y^2 = 17$
March 24th, 2020
number-theory
rational-numbers
sums-of-squares
diophantine-equations
Sum of squares of integers divisible by 3
May 9th, 2020
divisibility
elementary-number-theory
sums-of-squares
←
1
2
3
→