List questions from analysis

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Showing minimizer satisfies equality of general norm.

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58

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For what $f$ is $\int_0^{2\pi}f(x)\cos(2nx)dx\geq 0 ~~\forall n\in\mathbb Z$

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879

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Disjoint support of functions leads to simple integral

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Proof Help: Prove that limit does not exist for a particular function

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48

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Set Theory Question: "Introduction to Calculus and Classical Analysis" 4th ed., ex. 1.1.4.

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175

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Non-existence of weak solution in one dimension

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100

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Proving Hilbert space

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83

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Triple integral: $\int_0^{x} \int_{a-x}^{a} \int_0^{b} f(c ) \ dc \ db \ da$

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924

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Any open or closed subset of a locally compact space is also locally compact

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121

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Contradiction in Abbott's Understanding Analysis or my confusion?

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134

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If $\frac{\partial z}{\partial x}=\frac{\partial z}{\partial y}$, then $z\left(x,y\right)$ must be differentiable?

Published on 14 Apr 2026 - 5:12

65

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Necessary and Sufficient Condition in Quotient Space

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323

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Example of series such that $\sum a_n$ is divergent but $\sum \frac{ a_n}{1+ n a_n}$ is convergent

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1k

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A formula for higher order derivatives of inverse function

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List Question

Area of a surface over a triangle.

Showing minimizer satisfies equality of general norm.

For what $f$ is $\int_0^{2\pi}f(x)\cos(2nx)dx\geq 0 ~~\forall n\in\mathbb Z$

Disjoint support of functions leads to simple integral

Proof Help: Prove that limit does not exist for a particular function

Set Theory Question: "Introduction to Calculus and Classical Analysis" 4th ed., ex. 1.1.4.

Non-existence of weak solution in one dimension

Proving Hilbert space

Triple integral: $\int_0^{x} \int_{a-x}^{a} \int_0^{b} f(c ) \ dc \ db \ da$

Any open or closed subset of a locally compact space is also locally compact

Contradiction in Abbott's Understanding Analysis or my confusion?

If $\frac{\partial z}{\partial x}=\frac{\partial z}{\partial y}$, then $z\left(x,y\right)$ must be differentiable?

Necessary and Sufficient Condition in Quotient Space

Example of series such that $\sum a_n$ is divergent but $\sum \frac{ a_n}{1+ n a_n}$ is convergent

A formula for higher order derivatives of inverse function

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