List questions from computational-mathematics

Published on 30 Mar 2026 - 6:50

142

Views

More efficient method of computing the square root of $-1 \mod p$

Published on 31 Dec 2015 - 0:18

112

Views

For what values of $k$ does $(1+x)^{500+k}(1-x)^{500-k}$ exceed $10^9$?

Published on 01 Jan 2016 - 2:06

959

Views

Finite element method books

Published on 27 Mar 2026 - 21:44

92

Views

Minimizing computations for evaluating two polynomial simultaneously

Published on 25 Mar 2026 - 13:06

1.2k

Views

Proving $\pi^3 \gt 31$

Published on 30 Mar 2026 - 15:42

277

Views

Non-calculator proof that $\pi^\pi -\pi \lt \frac{100}{3}$

Published on 18 Jan 2016 - 8:41

60

Views

Error analysis on numerical solutiol of an equation

Published on 24 Jan 2016 - 12:46

725

Views

Hilbert Matrix, Gaussian Elimination with varying pivot strategies, and computation error.

Published on 25 Jan 2016 - 9:25

61

Views

One wants to determine $1/(2+\sqrt 3)^4$ having access to an approximate value of $\sqrt 3$.

Published on 26 Mar 2026 - 19:01

542

Views

Use $\log(x)$ to calculate $\log(x+1)$

Published on 02 Feb 2016 - 17:12

133

Views

Constructing a specific Rank-One Matrix

Published on 04 Feb 2016 - 20:51

293

Views

How to write new algorithm of root finding by combining 2 or 3 standard algorithms(bisection, fixed, etc)

Published on 29 Mar 2026 - 3:03

361

Views

Big O notation: ratio of two $O(\cdot)$'s is $O(\cdot)$ of the ratio?

Published on 11 Feb 2016 - 16:19

124

Views

Explicit piecewise linear approximation of a function of 4 variables

Published on 12 Feb 2016 - 14:46

List Question

Is there a systematic way of "discovering" an algebra from observations of its universe?

More efficient method of computing the square root of $-1 \mod p$

For what values of $k$ does $(1+x)^{500+k}(1-x)^{500-k}$ exceed $10^9$?

Finite element method books

Minimizing computations for evaluating two polynomial simultaneously

Proving $\pi^3 \gt 31$

Non-calculator proof that $\pi^\pi -\pi \lt \frac{100}{3}$

Error analysis on numerical solutiol of an equation

Hilbert Matrix, Gaussian Elimination with varying pivot strategies, and computation error.

One wants to determine $1/(2+\sqrt 3)^4$ having access to an approximate value of $\sqrt 3$.

Use $\log(x)$ to calculate $\log(x+1)$

Constructing a specific Rank-One Matrix

How to write new algorithm of root finding by combining 2 or 3 standard algorithms(bisection, fixed, etc)

Big O notation: ratio of two $O(\cdot)$'s is $O(\cdot)$ of the ratio?

Explicit piecewise linear approximation of a function of 4 variables

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