Question

Verifying that a function is analytic

score 116 · Answer 1 · 2026-04-14 08:06:56

116

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Verifying that a function is analytic

Published on 14 Apr 2026 - 8:06

score 684 · Answer 2 · 2026-04-09 05:22:35

684

Views

Continuous everywhere differentiable nowhere function

Published on 09 Apr 2026 - 5:22

score 31 · Answer 3 · 2026-04-08 23:17:18

31

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How to define summation recursively?

Published on 08 Apr 2026 - 23:17

score 58 · Answer 4 · 2026-04-14 13:52:49

58

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$ R$ is left-total if and only if $ \operatorname{Id}_A \subseteq R \circ R^{-1} $

Published on 14 Apr 2026 - 13:52

score 134 · Answer 5 · 2026-04-15 07:30:08

134

Views

Show, using the definition of derivative, that $f:\mathbb{R}^2\rightarrow\mathbb{R}$ defined by $f(x,y)=xy$ is differentiable everywhere.

Published on 15 Apr 2026 - 7:30

score 2.2k · Answer 6 · 2026-04-14 02:21:38

2.2k

Views

Proof that if $n^2-1$ is divisible by $8$ then $n$ is odd

Published on 14 Apr 2026 - 2:21

score 158 · Answer 7 · 2026-04-20 04:04:10

158

Views

Is it always required to have a theorem/proposition after the lemma?

Published on 20 Apr 2026 - 4:04

score 48 · Answer 8 · 2026-04-11 20:00:13

48

Views

Understanding continuity and Dense sets

Published on 11 Apr 2026 - 20:00

score 855 · Answer 9 · 2026-04-15 10:17:05

855

Views

For all integers $n$: if $7n+4$ is even, then $5n+6$ is even.

Published on 15 Apr 2026 - 10:17

score 1.6k · Answer 10 · 2026-04-14 17:33:52

1.6k

Views

Prove that the closure contains the supremum

Published on 14 Apr 2026 - 17:33

score 54 · Answer 11 · 2026-04-17 01:56:45

54

Views

If the vertex of a (vertical) parabola is $(3,0)$, and $(4,2)$ is on the curve, then so is $(2,2)$

Published on 17 Apr 2026 - 1:56

score 858 · Answer 12 · 2026-04-12 18:33:53

858

Views

How to prove the generalized associative law for addition on $\mathbb N$?

Published on 12 Apr 2026 - 18:33

score 2.9k · Answer 13 · 2026-04-15 07:47:29

2.9k

Views

Is $\operatorname{int}(A\cup B)=\operatorname{int}(A)\cup\operatorname{int}(B)$?

Published on 15 Apr 2026 - 7:47

score 2.1k · Answer 14 · 2026-04-16 12:38:38

2.1k

Views

Show continuity at $(0,0)$ of $f(x,y)=\frac{xy}{\sqrt{x^2+y^2}}$ for $(x,y)\neq (0,0)$ and $f(0,0)=0$

Published on 16 Apr 2026 - 12:38

score 1.2k · Answer 15 · 2026-04-13 12:06:25

1.2k

Views

Prove cancellation law for inverse function

Published on 13 Apr 2026 - 12:06

List Question

Verifying that a function is analytic

Continuous everywhere differentiable nowhere function

How to define summation recursively?

$ R$ is left-total if and only if $ \operatorname{Id}_A \subseteq R \circ R^{-1} $

Show, using the definition of derivative, that $f:\mathbb{R}^2\rightarrow\mathbb{R}$ defined by $f(x,y)=xy$ is differentiable everywhere.

Proof that if $n^2-1$ is divisible by $8$ then $n$ is odd

Is it always required to have a theorem/proposition after the lemma?

Understanding continuity and Dense sets

For all integers $n$: if $7n+4$ is even, then $5n+6$ is even.

Prove that the closure contains the supremum

If the vertex of a (vertical) parabola is $(3,0)$, and $(4,2)$ is on the curve, then so is $(2,2)$

How to prove the generalized associative law for addition on $\mathbb N$?

Is $\operatorname{int}(A\cup B)=\operatorname{int}(A)\cup\operatorname{int}(B)$?

Show continuity at $(0,0)$ of $f(x,y)=\frac{xy}{\sqrt{x^2+y^2}}$ for $(x,y)\neq (0,0)$ and $f(0,0)=0$

Prove cancellation law for inverse function

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