Question

Is every function a linear combination of separable functions?

score 315 · Answer 1 · 2026-03-25 09:24:57

315

Views

Is every function a linear combination of separable functions?

Published on 25 Mar 2026 - 9:24

score 322 · Answer 2 · 2026-03-25 09:32:38

322

Views

Showing a multivariable function is constant under a condition

Published on 25 Mar 2026 - 9:32

score 499 · Answer 3 · 2026-03-25 09:29:06

499

Views

If $z = re^{i\theta}$, how does a branch of the logarithm restrict the interval for $\theta$?

Published on 25 Mar 2026 - 9:29

score 109 · Answer 4 · 2026-03-25 09:29:51

109

Views

Suppose there is a branch of the logarithm on a simply connected region $U$, when do we have the formula $\log z = \log r + i \theta$?

Published on 25 Mar 2026 - 9:29

score 169 · Answer 5 · 2026-03-25 10:55:31

169

Views

Generalization of Kakutani's fixed point theorem.

Published on 25 Mar 2026 - 10:55

score 55 · Answer 6 · 2026-03-25 04:44:19

55

Views

calculating the center of mass of a set of vectors (during a proof of a Hilbert polynomial identity)

Published on 25 Mar 2026 - 4:44

score 481 · Answer 7 · 2026-03-25 09:29:21

481

Views

Directional derivative of a function $f(x,y)$ but direction in terms of $u$ and $v$.

Published on 25 Mar 2026 - 9:29

score 252 · Answer 8 · 2026-03-25 10:53:35

252

Views

What's an importance of multi-valued functions?

Published on 25 Mar 2026 - 10:53

score 2.2k · Answer 9 · 2026-03-25 03:21:13

2.2k

Views

Why should $f(z)=\sqrt{z}$ be limited on $\mathbb{C}-\{z:\Re(z)\leq0\}$ to be considered as an analytic function?

Published on 25 Mar 2026 - 3:21

score 179 · Answer 10 · 2026-03-25 09:24:35

179

Views

Covering Space of $\mathbb{C}-\{a,b\}$ via Multivalued Function

Published on 25 Mar 2026 - 9:24

score 2.4k · Answer 11 · 2026-03-25 05:06:56

2.4k

Views

Are multi-valued functions a rigorous concept or simply a conversational shorthand?

Published on 25 Mar 2026 - 5:06

score 2k · Answer 12 · 2026-03-25 05:10:04

2k

Views

How do we define the branch cuts for $\sin^{-1}z = \frac{1}{i} \log(\sqrt{1-z^2} + iz)$ as $(-\infty,-1)$ and $(1,\infty)$?

Published on 25 Mar 2026 - 5:10

score 334 · Answer 13 · 2026-03-25 09:25:03

334

Views

Why isn't Euler's formula multivalued?

Published on 25 Mar 2026 - 9:25

score 675 · Answer 14 · 2026-03-31 20:57:22

675

Views

Solve $z^{1+i}=4$

Published on 31 Mar 2026 - 20:57

score 1.5k · Answer 15 · 2026-03-25 09:23:47

1.5k

Views

How the branch cut make a multi-valued function several branches of single valued function?

Published on 25 Mar 2026 - 9:23

List Question

Is every function a linear combination of separable functions?

Showing a multivariable function is constant under a condition

If $z = re^{i\theta}$, how does a branch of the logarithm restrict the interval for $\theta$?

Suppose there is a branch of the logarithm on a simply connected region $U$, when do we have the formula $\log z = \log r + i \theta$?

Generalization of Kakutani's fixed point theorem.

calculating the center of mass of a set of vectors (during a proof of a Hilbert polynomial identity)

Directional derivative of a function $f(x,y)$ but direction in terms of $u$ and $v$.

What's an importance of multi-valued functions?

Why should $f(z)=\sqrt{z}$ be limited on $\mathbb{C}-\{z:\Re(z)\leq0\}$ to be considered as an analytic function?

Covering Space of $\mathbb{C}-\{a,b\}$ via Multivalued Function

Are multi-valued functions a rigorous concept or simply a conversational shorthand?

How do we define the branch cuts for $\sin^{-1}z = \frac{1}{i} \log(\sqrt{1-z^2} + iz)$ as $(-\infty,-1)$ and $(1,\infty)$?

Why isn't Euler's formula multivalued?

Solve $z^{1+i}=4$

How the branch cut make a multi-valued function several branches of single valued function?

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