List questions from proof-explanation

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Column vectors being linearly dependent IFF there exists a column having no pivot

Published on 26 Mar 2026 - 6:25

116

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Confusion with a proof of Intermediate Value Theorem

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30

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Is it sufficient to show the following inequality holds to prove $2^{2^n} \in \Omega(n!)$?

Published on 26 Mar 2026 - 8:02

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For every $n\in \Bbb{N}$, either $n$ is even or $n-1$ is even (Must use Induction)

Published on 15 Sep 2018 - 18:43

160

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Proof Verification $\sum_{k=0}^n \binom{n}{k} = 2^n$ (Spivak's Calculus)

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Deleted comb space is not path connected

Published on 16 Sep 2018 - 11:41

36

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In an indirect proof, is it possible to reject the assumption based on contradiction of a premise?

Published on 31 Mar 2026 - 13:49

44

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Number of ways a set of nucleotides can be arranged (example from textbook)

Published on 26 Mar 2026 - 0:53

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Question about Paul Erdös' proof on the Sylvester-Schur Theorem

Published on 01 Apr 2026 - 9:52

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Show that definition 2.6 is equivalent to the following slight modification:

Published on 16 Sep 2018 - 22:45

126

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Show that $\big|\frac{a-b}{1-\overline{a}b}\big|=1$, when either $|a|=1$ or $|b|=1$.

Published on 16 Sep 2018 - 22:48

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Harmonic functions proof explanation

Published on 25 Mar 2026 - 17:28

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Proving a chain of well-formed formulas in metalogic

Published on 31 Mar 2026 - 15:45

290

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Trouble proving the deduction theorem

Published on 27 Mar 2026 - 16:24

List Question

Multivariable derivative question: Rudin theorem 9.19

Column vectors being linearly dependent IFF there exists a column having no pivot

Confusion with a proof of Intermediate Value Theorem

Is it sufficient to show the following inequality holds to prove $2^{2^n} \in \Omega(n!)$?

For every $n\in \Bbb{N}$, either $n$ is even or $n-1$ is even (Must use Induction)

Proof Verification $\sum_{k=0}^n \binom{n}{k} = 2^n$ (Spivak's Calculus)

Deleted comb space is not path connected

In an indirect proof, is it possible to reject the assumption based on contradiction of a premise?

Number of ways a set of nucleotides can be arranged (example from textbook)

Question about Paul Erdös' proof on the Sylvester-Schur Theorem

Show that definition 2.6 is equivalent to the following slight modification:

Show that $\big|\frac{a-b}{1-\overline{a}b}\big|=1$, when either $|a|=1$ or $|b|=1$.

Harmonic functions proof explanation

Proving a chain of well-formed formulas in metalogic

Trouble proving the deduction theorem

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