List questions from real-analysis

Published on 10 May 2026 - 12:17

423

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How to integrate 2-forms over a sphere?

Published on 10 May 2026 - 12:31

47

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$x_{1}$ and $x_{2}$ roots of $f$ with $f'(x_{1}) \gt 0$ and $f'(x_{2}) \gt 0$. Existence of another root between $(x_{1},x_{2})$.

Published on 15 May 2026 - 7:41

619

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Twice differentiable function not equal to $0$

Published on 13 Apr 2026 - 14:42

52

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Proving Inequality Using Graph

Published on 16 Apr 2026 - 1:31

291

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Vector Spaces and Open Balls

Published on 14 May 2026 - 20:51

102

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Variation of Bernoulli inequality?

Published on 11 Apr 2026 - 0:56

439

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Definite integral: $\int_0^\infty \frac{x dx}{(1+x^2)(1+e^{\pi x})}$

Published on 11 May 2026 - 8:46

52

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Can someone help me understand this proof of a modified version of Brouwer's theorem?

Published on 11 Apr 2026 - 3:01

27.7k

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Simplifying square of integral in general

Published on 11 Apr 2026 - 0:31

301

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When can we interchange $\partial/\partial x$ with integral sign, or commute two such operators in general?

Published on 16 Apr 2026 - 12:27

55

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Confusion on :$f : V \rightarrow W$ is continuous if and only if for all open sets $U \subseteq W$ the set $f^{-1}(U)$ is also open$

Published on 15 Apr 2026 - 21:21

16

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For a compact Riemannian manifold $M$, for sup, inf, the condition of laplacian

Published on 14 Apr 2026 - 23:27

58

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Limit of a sequence ${a_n}$

Published on 16 May 2026 - 3:57

270

Views

Confusion about little-o and sums

Published on 11 May 2026 - 8:34

List Question

Explanation for the proof of Minkowski's inequality, Theorem 3.5, Rudin's RCA

How to integrate 2-forms over a sphere?

$x_{1}$ and $x_{2}$ roots of $f$ with $f'(x_{1}) \gt 0$ and $f'(x_{2}) \gt 0$. Existence of another root between $(x_{1},x_{2})$.

Twice differentiable function not equal to $0$

Proving Inequality Using Graph

Vector Spaces and Open Balls

Variation of Bernoulli inequality?

Definite integral: $\int_0^\infty \frac{x dx}{(1+x^2)(1+e^{\pi x})}$

Can someone help me understand this proof of a modified version of Brouwer's theorem?

Simplifying square of integral in general

When can we interchange $\partial/\partial x$ with integral sign, or commute two such operators in general?

Confusion on :$f : V \rightarrow W$ is continuous if and only if for all open sets $U \subseteq W$ the set $f^{-1}(U)$ is also open$

For a compact Riemannian manifold $M$, for sup, inf, the condition of laplacian

Limit of a sequence ${a_n}$

Confusion about little-o and sums

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