Question

f, h cont diff. Find necessary and sufficient conditions for these functions to be first-order approximations of each other at the point (0,0).

score 72 · Answer 1 · 2019-04-08 16:41:21

f, h cont diff. Find necessary and sufficient conditions for these functions to be first-order approximations of each other at the point (0,0).

score 76 · Answer 2 · 2019-04-09 15:20:47

76

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finding an approximation for $\cos(1)$ (Explanation of a solution)

Published on 09 Apr 2019 - 15:20

score 77 · Answer 3 · 2026-03-25 09:24:05

77

Views

Easy example of $Ax =b$ floating point arithmetic.

Published on 25 Mar 2026 - 9:24

score 656 · Answer 4 · 2019-04-09 21:13:01

656

Views

tanh implementations for FPGA neural nets

Published on 09 Apr 2019 - 21:13

score 58 · Answer 5 · 2026-03-26 07:37:37

58

Views

Optimization over a binary (or discrete) variable

Published on 26 Mar 2026 - 7:37

score 241 · Answer 6 · 2026-03-26 22:53:15

241

Views

What is the best way to compare the numerical solution to the exact solution?

Published on 26 Mar 2026 - 22:53

score 3.9k · Answer 7 · 2026-03-25 05:00:05

3.9k

Views

Spline interpolation - why cube with 2nd derivative?

Published on 25 Mar 2026 - 5:00

score 370 · Answer 8 · 2019-04-14 14:31:38

370

Views

Famous fractions: Can any "special" numbers be approximated by simple ratios like $3.14\ldots$ as $22/7$?

Published on 14 Apr 2019 - 14:31

score 44 · Answer 9 · 2019-04-14 23:57:29

44

Views

Asymptotic differential equation for large $t$. Can I just drop fast decaying terms?

Published on 14 Apr 2019 - 23:57

score 518 · Answer 10 · 2019-04-16 09:07:28

518

Views

Find a composite solution to the following problem

Published on 16 Apr 2019 - 9:07

score 111 · Answer 11 · 2019-04-18 09:45:21

By creating a Maclaurin series up to an including $x^4$ for $\ln(\cos x)$ shows that $\ln2 \approx \frac{\pi^2}{16}\left( 1+\frac{\pi^2}{96}\right)$

score 123 · Answer 12 · 2026-03-27 00:05:24

123

Views

Smooth approximation of $f(x)=\begin{cases}0&\text{if}\;x<0\\x&\text{if}\;x \geq 0 \end{cases}$

Published on 27 Mar 2026 - 0:05

score 217 · Answer 13 · 2026-03-27 00:59:10

217

Views

Approximation of $\prod _{k=p+1}^{\infty } \cos \left(\frac{p \,\pi}{2 k}\right)$

Published on 27 Mar 2026 - 0:59

score 116 · Answer 14 · 2019-04-20 08:56:19

116

Views

Small angle approximation for $\frac{1+\sin\theta}{5+3\tan\theta-4\cos\theta}$

Published on 20 Apr 2019 - 8:56

score 28 · Answer 15 · 2019-04-21 03:13:41

28

Views

Approximating square root for long expressions

Published on 21 Apr 2019 - 3:13

List Question

f, h cont diff. Find necessary and sufficient conditions for these functions to be first-order approximations of each other at the point (0,0).

finding an approximation for $\cos(1)$ (Explanation of a solution)

Easy example of $Ax =b$ floating point arithmetic.

tanh implementations for FPGA neural nets

Optimization over a binary (or discrete) variable

What is the best way to compare the numerical solution to the exact solution?

Spline interpolation - why cube with 2nd derivative?

Famous fractions: Can any "special" numbers be approximated by simple ratios like $3.14\ldots$ as $22/7$?

Asymptotic differential equation for large $t$. Can I just drop fast decaying terms?

Find a composite solution to the following problem

By creating a Maclaurin series up to an including $x^4$ for $\ln(\cos x)$ shows that $\ln2 \approx \frac{\pi^2}{16}\left( 1+\frac{\pi^2}{96}\right)$

Smooth approximation of $f(x)=\begin{cases}0&\text{if}\;x<0\\x&\text{if}\;x \geq 0 \end{cases}$

Approximation of $\prod _{k=p+1}^{\infty } \cos \left(\frac{p \,\pi}{2 k}\right)$

Small angle approximation for $\frac{1+\sin\theta}{5+3\tan\theta-4\cos\theta}$

Approximating square root for long expressions

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