Question

Higher order terms in Hessian of $g(x)^T g(x)$, where $g(x)$ is the gradient of underlying $f(x)$: $\mathbb R^n \Rightarrow \mathbb R$

score 438 · Answer 1 · 2026-03-29 21:39:16

438

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Higher order terms in Hessian of $g(x)^T g(x)$, where $g(x)$ is the gradient of underlying $f(x)$: $\mathbb R^n \Rightarrow \mathbb R$

Published on 29 Mar 2026 - 21:39

score 63 · Answer 2 · 2026-03-29 14:35:28

63

Views

Find for which $\alpha$ $y=8x+\alpha$ is tangent to the curve $x^4+y^4=1$

Published on 29 Mar 2026 - 14:35

score 232 · Answer 3 · 2026-03-28 03:32:01

232

Views

Stokes' theorem without the smoothness condition

Published on 28 Mar 2026 - 3:32

score 181 · Answer 4 · 2026-04-16 13:30:56

181

Views

let F be velocity vector field of fluid on $R^3$ defined by F(x,y,z)=-yi+xj.

Published on 16 Apr 2026 - 13:30

score 705 · Answer 5 · 2026-04-24 23:50:12

705

Views

Difference of inner product space of two vectors

Published on 24 Apr 2026 - 23:50

score 77 · Answer 6 · 2026-04-15 06:01:03

77

Views

Apply flow of $V$ to a segment of a curve, Do you get covariant derivative?

Published on 15 Apr 2026 - 6:01

score 79 · Answer 7 · 2026-04-24 05:17:19

79

Views

Parabola, tangent and angles (Apostol, chapter 14.21, problem 1)

Published on 24 Apr 2026 - 5:17

score 98 · Answer 8 · 2026-03-28 03:27:48

98

Views

Is $\sigma_u \times \sigma_v \neq \vec{0}$ essential for $\int_{\alpha} \vec{F} \cdot d\vec{r} = \iint_\sigma \mathrm{curl}\,\vec{F} \cdot d\vec{S}$?

Published on 28 Mar 2026 - 3:27

score 259 · Answer 9 · 2026-04-16 01:24:51

259

Views

Calculate the integral $\iint_D (y^2-x^2)^{xy} (x^2+y^2)dxdy$ on a certain region

Published on 16 Apr 2026 - 1:24

score 66 · Answer 10 · 2026-04-13 13:48:37

66

Views

Mean curvature submanifold

Published on 13 Apr 2026 - 13:48

score 287 · Answer 11 · 2026-04-10 14:33:41

287

Views

Help with integral from Boltzmann equation

Published on 10 Apr 2026 - 14:33

score 22 · Answer 12 · 2026-04-16 14:43:24

22

Views

Is $\vec{F} (x,y,z) = (x^2(y - z)+ yz)\vec{i} + (2xyz + x/z)\vec{j} + (y/x - 2xyz)\vec{k}$ solenoidal ?

Published on 16 Apr 2026 - 14:43

score 199 · Answer 13 · 2026-04-13 16:57:06

199

Views

Find the absolute max and min of a multivariable function on a bounded by a circle?

Published on 13 Apr 2026 - 16:57

score 168 · Answer 14 · 2026-04-16 12:30:49

168

Views

Rayleigh quotient $Q=(\frac{||\triangledown w||}{||w||})^2$ in using the eigenfunction $\sin(x)$ on the segment $(0,\pi)$

Published on 16 Apr 2026 - 12:30

score 77 · Answer 15 · 2026-04-13 21:53:20

77

Views

Help with normal vectors to linear vector functions.

Published on 13 Apr 2026 - 21:53

List Question

Higher order terms in Hessian of $g(x)^T g(x)$, where $g(x)$ is the gradient of underlying $f(x)$: $\mathbb R^n \Rightarrow \mathbb R$

Find for which $\alpha$ $y=8x+\alpha$ is tangent to the curve $x^4+y^4=1$

Stokes' theorem without the smoothness condition

let F be velocity vector field of fluid on $R^3$ defined by F(x,y,z)=-yi+xj.

Difference of inner product space of two vectors

Apply flow of $V$ to a segment of a curve, Do you get covariant derivative?

Parabola, tangent and angles (Apostol, chapter 14.21, problem 1)

Is $\sigma_u \times \sigma_v \neq \vec{0}$ essential for $\int_{\alpha} \vec{F} \cdot d\vec{r} = \iint_\sigma \mathrm{curl}\,\vec{F} \cdot d\vec{S}$?

Calculate the integral $\iint_D (y^2-x^2)^{xy} (x^2+y^2)dxdy$ on a certain region

Mean curvature submanifold

Help with integral from Boltzmann equation

Is $\vec{F} (x,y,z) = (x^2(y - z)+ yz)\vec{i} + (2xyz + x/z)\vec{j} + (y/x - 2xyz)\vec{k}$ solenoidal ?

Find the absolute max and min of a multivariable function on a bounded by a circle?

Rayleigh quotient $Q=(\frac{||\triangledown w||}{||w||})^2$ in using the eigenfunction $\sin(x)$ on the segment $(0,\pi)$

Help with normal vectors to linear vector functions.

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