Question

Product and Quotient Rule proof using linearisation

score 549 · Answer 1 · 2026-03-21 14:39:51

549

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Product and Quotient Rule proof using linearisation

Published on 21 Mar 2026 - 14:39

score 49 · Answer 2 · 2026-03-24 00:27:26

49

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Find a vector $x \in \mathbb{R}^n$ such that $x \neq 0$, $x_1w_1 + \dots + x_nw_n \approx 0$ and $x \approx z$

Published on 24 Mar 2026 - 0:27

score 347 · Answer 3 · 2026-03-23 22:59:33

347

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Linear approximation for an implicit function

Published on 23 Mar 2026 - 22:59

score 76 · Answer 4 · 2026-03-24 02:39:49

76

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Linear approximation for an implicit function 2

Published on 24 Mar 2026 - 2:39

score 49 · Answer 5 · 2026-03-24 09:47:24

49

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Differentials: to the nearest milimetre question

Published on 24 Mar 2026 - 9:47

score 290 · Answer 6 · 2026-03-24 10:14:44

290

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Explanation for the Continuity of the Jacobi Matrix

Published on 24 Mar 2026 - 10:14

score 7.7k · Answer 7 · 2026-03-24 10:41:18

7.7k

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Linear Approximation and Volume of Cylinder

Published on 24 Mar 2026 - 10:41

score 181 · Answer 8 · 2026-03-24 13:02:05

181

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What is the linear approximation of $f(x) = \frac1x$ when $x \approx 0$?

Published on 24 Mar 2026 - 13:02

score 103 · Answer 9 · 2026-03-24 07:18:58

103

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Placing $n$ linear functions so that it is best fit to another function in integral norm sense?

Published on 24 Mar 2026 - 7:18

score 220 · Answer 10 · 2026-03-24 06:20:11

220

Views

Intuition of error in Taylor appoximation and finding error in approximation of a function by a constant function

Published on 24 Mar 2026 - 6:20

score 269 · Answer 11 · 2026-03-24 12:39:30

269

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If $f(x_0)+f'(x_0)(x-x_0)$ is the affine approximation to $f$ at $x_0$, is $f'(x_0)(x-x_0)$ the linear approximation?

Published on 24 Mar 2026 - 12:39

score 960 · Answer 12 · 2026-03-23 20:00:52

960

Views

How to linearize the distance formula?

Published on 23 Mar 2026 - 20:00

score 77 · Answer 13 · 2026-03-23 23:12:37

77

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Does the inequality $\frac{p^Tp}{p^TAp} < 2\frac{p^TA^{-1}p}{p^Tp}$ hold?

Published on 23 Mar 2026 - 23:12

score 333 · Answer 14 · 2026-03-23 18:36:09

333

Views

Using Differentials to Calculate the Volume of a Square Pyramid

Published on 23 Mar 2026 - 18:36

score 168 · Answer 15 · 2026-03-23 19:32:17

168

Views

Clarification of Notion of a "Good Approximation"

Published on 23 Mar 2026 - 19:32

List Question

Product and Quotient Rule proof using linearisation

Find a vector $x \in \mathbb{R}^n$ such that $x \neq 0$, $x_1w_1 + \dots + x_nw_n \approx 0$ and $x \approx z$

Linear approximation for an implicit function

Linear approximation for an implicit function 2

Differentials: to the nearest milimetre question

Explanation for the Continuity of the Jacobi Matrix

Linear Approximation and Volume of Cylinder

What is the linear approximation of $f(x) = \frac1x$ when $x \approx 0$?

Placing $n$ linear functions so that it is best fit to another function in integral norm sense?

Intuition of error in Taylor appoximation and finding error in approximation of a function by a constant function

If $f(x_0)+f'(x_0)(x-x_0)$ is the affine approximation to $f$ at $x_0$, is $f'(x_0)(x-x_0)$ the linear approximation?

How to linearize the distance formula?

Does the inequality $\frac{p^Tp}{p^TAp} < 2\frac{p^TA^{-1}p}{p^Tp}$ hold?

Using Differentials to Calculate the Volume of a Square Pyramid

Clarification of Notion of a "Good Approximation"

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