Question

Correctly Differentiating (Cross Entropy and Other) Error Functions

score 96 · Answer 1 · 2026-04-11 16:40:31

96

Views

Correctly Differentiating (Cross Entropy and Other) Error Functions

Published on 11 Apr 2026 - 16:40

score 35 · Answer 2 · 2026-04-16 10:07:32

35

Views

Correct reasoning for continuity of $f$ in $(0,0,0)$

Published on 16 Apr 2026 - 10:07

score 120 · Answer 3 · 2026-04-25 06:39:48

120

Views

Difficulty finding Lagrange multiplier because of $\leq$

Published on 25 Apr 2026 - 6:39

score 70 · Answer 4 · 2026-04-16 08:07:10

70

Views

Minimum of multivariate function $f(x,y)=x^2+y^2-2x^2y - \frac{4x^6y^2}{(x^4+y^2)^2}$ for $(x,y)\neq(0,0)$ and $f(0,0)=0$

Published on 16 Apr 2026 - 8:07

score 2.9k · Answer 5 · 2026-04-10 22:29:44

2.9k

Views

What does it mean for an integral to be stationary?

Published on 10 Apr 2026 - 22:29

score 74 · Answer 6 · 2026-04-15 14:03:39

74

Views

Divergence and Gradient integration

Published on 15 Apr 2026 - 14:03

score 631 · Answer 7 · 2026-04-11 19:09:51

631

Views

Doubt in the proof of Implicit function theorem by Rudin's PMA,(Theorem 9.28,p224-227)

Published on 11 Apr 2026 - 19:09

score 138 · Answer 8 · 2026-04-14 04:13:31

138

Views

Differentiability of $f$ if $f = \sum f_k$ and $f_k$ are differentiable at one point

Published on 14 Apr 2026 - 4:13

score 47 · Answer 9 · 2026-03-30 05:28:17

47

Views

Example of a differentiable $f$ and $(x^,y^)$ where $x^=\arg\min_x f(x,y^)$, $y^=\arg\min_y f(x^,y)$, yet $(x^,y^)\neq \arg\min_{x,y}f(x,y)$?

Published on 30 Mar 2026 - 5:28

score 84 · Answer 10 · 2026-04-13 10:13:06

84

Views

How to know where a surface concaves up or not.

Published on 13 Apr 2026 - 10:13

score 67 · Answer 11 · 2026-04-17 03:23:19

67

Views

integrate $2\sqrt{1-x^2/4-y^2/9}$

Published on 17 Apr 2026 - 3:23

score 131 · Answer 12 · 2026-04-15 06:47:39

131

Views

Derivative quadratic form for regression

Published on 15 Apr 2026 - 6:47

score 59 · Answer 13 · 2026-04-15 14:26:43

59

Views

Question on the implicit function theorem and dimension.

Published on 15 Apr 2026 - 14:26

score 53 · Answer 14 · 2026-04-14 22:47:41

53

Views

Finding the extrema of $f(x,y)$ when ALL critical points $=0$

Published on 14 Apr 2026 - 22:47

score 725 · Answer 15 · 2026-04-29 16:17:48

725

Views

Proving the derivative of the multivariable function $f(x,y)=\frac{x^2y}{x^2+y^2}$ exists.

Published on 29 Apr 2026 - 16:17

List Question

Correctly Differentiating (Cross Entropy and Other) Error Functions

Correct reasoning for continuity of $f$ in $(0,0,0)$

Difficulty finding Lagrange multiplier because of $\leq$

Minimum of multivariate function $f(x,y)=x^2+y^2-2x^2y - \frac{4x^6y^2}{(x^4+y^2)^2}$ for $(x,y)\neq(0,0)$ and $f(0,0)=0$

What does it mean for an integral to be stationary?

Divergence and Gradient integration

Doubt in the proof of Implicit function theorem by Rudin's PMA,(Theorem 9.28,p224-227)

Differentiability of $f$ if $f = \sum f_k$ and $f_k$ are differentiable at one point

Example of a differentiable $f$ and $(x^,y^)$ where $x^=\arg\min_x f(x,y^)$, $y^=\arg\min_y f(x^,y)$, yet $(x^,y^)\neq \arg\min_{x,y}f(x,y)$?

How to know where a surface concaves up or not.

integrate $2\sqrt{1-x^2/4-y^2/9}$

Derivative quadratic form for regression

Question on the implicit function theorem and dimension.

Finding the extrema of $f(x,y)$ when ALL critical points $=0$

Proving the derivative of the multivariable function $f(x,y)=\frac{x^2y}{x^2+y^2}$ exists.

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