List questions from proof-explanation

Published on 13 Apr 2026 - 7:21

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Trying to understand a proof about L'Hopital rule

Published on 09 Apr 2026 - 8:11

516

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Corollary of Lagrange's Theorem in Number Theory

Published on 13 Apr 2026 - 8:35

41

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Do I need $|u|=1$ to prove $D_uf(a)=\langle \nabla f(a),u\rangle$

Published on 15 Apr 2026 - 4:57

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Proof using Archimedean Property and Well Ordering Principle n-1<= t < n.

Published on 17 Apr 2026 - 3:41

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Why is the use of an implication arrow correct in the definition of injective functions: $ \forall a\forall b(f(a) = f(b) \to a = b) $?

Published on 11 Apr 2026 - 2:35

224

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Morawetz's two $L^p$ inequalities

Published on 14 Apr 2026 - 2:58

562

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Mathematical Induction step $2^n < n!$

Published on 22 Apr 2026 - 15:01

1.7k

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If $x^p - a$ is reducible in a characteristic $p$ field, then it has a root.

Published on 05 May 2026 - 23:23

55

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Prove trigonometric identity.

Published on 13 Apr 2026 - 4:15

200

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Trouble understanding chain rule proof

Published on 12 Apr 2026 - 14:01

37

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When one approximates a matrix A with a sequence A_n, does this necessarily mean the sequence converges to A?

Published on 14 Apr 2026 - 19:08

433

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Equivalent conditions for a faithfully flat module

Published on 15 Apr 2026 - 18:34

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Maximize $f(x,y) = x^4y^8$ on the unit circle, with $x,y\ge0$

Published on 14 Apr 2026 - 7:01

86

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Proof of residue thereom

Published on 10 Apr 2026 - 15:11

List Question

Classification of covering spaces via Hatcher

Trying to understand a proof about L'Hopital rule

Corollary of Lagrange's Theorem in Number Theory

Do I need $|u|=1$ to prove $D_uf(a)=\langle \nabla f(a),u\rangle$

Proof using Archimedean Property and Well Ordering Principle n-1<= t < n.

Why is the use of an implication arrow correct in the definition of injective functions: $ \forall a\forall b(f(a) = f(b) \to a = b) $?

Morawetz's two $L^p$ inequalities

Mathematical Induction step $2^n < n!$

If $x^p - a$ is reducible in a characteristic $p$ field, then it has a root.

Prove trigonometric identity.

Trouble understanding chain rule proof

When one approximates a matrix A with a sequence A_n, does this necessarily mean the sequence converges to A?

Equivalent conditions for a faithfully flat module

Maximize $f(x,y) = x^4y^8$ on the unit circle, with $x,y\ge0$

Proof of residue thereom

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