Tangent plane approximation: $f_1(x_0,y_0)h+f_2(x_0,y_0)k + \epsilon(h,k)\sqrt{h^2 + k^2}$ can be rewritten with $|h|+|k|$ instead of $\sqrt{h^2+k^2}$

score 2.8k · Answer 7 · 2026-04-12 03:59:12

2.8k

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How to find Rate and Order of Convergence of Fixed Point Method

Published on 12 Apr 2026 - 3:59

score 663 · Answer 8 · 2026-04-11 06:41:56

663

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General Error Term for Newton-Cotes Formulae

Published on 11 Apr 2026 - 6:41

score 650 · Answer 9 · 2026-04-14 19:47:10

650

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Three-Point Gaussian Quadrature Derivation

Published on 14 Apr 2026 - 19:47

score 807 · Answer 10 · 2026-04-17 00:59:09

807

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Why is it that $ \frac{x^{\frac{1}{2^{15}}}-1}{0.000070271} \approx \log_{10}(x)$?

Published on 17 Apr 2026 - 0:59

score 37 · Answer 11 · 2026-04-14 20:47:52

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how to prove that ()=1+−(1+^(1+))^(1/(1+)) is approximated by 1-e^(-)^(-)

Published on 14 Apr 2026 - 20:47

score 84 · Answer 12 · 2026-04-09 04:18:41

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Are there any results how well (deep) neural networks approximate the uncomputable functions?

Published on 09 Apr 2026 - 4:18

score 117 · Answer 13 · 2026-04-14 12:22:29

117

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What is "$L^2$(µ)-approximation" in this context?

Published on 14 Apr 2026 - 12:22

score 44 · Answer 14 · 2026-04-16 19:29:03

44

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How to prove that $1+x-(1+x^{1+a})^{\frac1{1+a}}=1-\frac{x^{-a}}{1+a}+O(x^{-(1+2a)})$ as $x→+∞$ for $a>0$

Published on 16 Apr 2026 - 19:29

score 72 · Answer 15 · 2026-04-11 19:19:21

72

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approximating a function without derivatives

Published on 11 Apr 2026 - 19:19

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Tangent plane approximation: $f_1(x_0,y_0)h+f_2(x_0,y_0)k + \epsilon(h,k)\sqrt{h^2 + k^2}$ can be rewritten with $|h|+|k|$ instead of $\sqrt{h^2+k^2}$

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how to prove that ()=1+−(1+^(1+))^(1/(1+)) is approximated by 1-e^(-)^(-)

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What is "$L^2$(µ)-approximation" in this context?

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