Question

How is it shown using the additive cancellation law that $x\mapsto x+h$ has an inverse?

score 83 · Answer 1 · 2026-03-25 23:38:42

How is it shown using the additive cancellation law that $x\mapsto x+h$ has an inverse?

Published on 25 Mar 2026 - 23:38

score 66 · Answer 2 · 2019-04-28 21:17:22

If $f_1, \ldots, f_n : \Bbb{R} \to \Bbb{R}$ are continuous then $f_n \circ f_{n-1} \circ \ldots \circ f_1$ is continuous. Proof by induction.

score 137 · Answer 3 · 2019-04-29 04:39:00

137

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Proof by Induction: $∀n ≥ 5, 2^n + 2n < n!$

Published on 29 Apr 2019 - 4:39

score 110 · Answer 4 · 2026-03-28 22:31:09

110

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How prove with using mathematical induction $\prod_{i=0}^n 1+q^{2^i} = \frac{1-q^{2^{n+1}}}{1-q}$?

Published on 28 Mar 2026 - 22:31

score 305 · Answer 5 · 2026-03-28 06:59:09

305

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Using strong induction to prove divisibility statements

Published on 28 Mar 2026 - 6:59

score 96 · Answer 6 · 2026-03-25 06:29:34

96

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estimating $\prod_{i=1}^k a_i\leq \max_i a_i^{p_i}$, where $\sum_i 1/p_i=1$

Published on 25 Mar 2026 - 6:29

score 93 · Answer 7 · 2019-04-30 15:22:40

93

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How to prove an inequality using mathematical induction?

Published on 30 Apr 2019 - 15:22

score 300 · Answer 8 · 2026-03-28 05:59:59

300

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Is induction neccessary for proving that every injective mapping of a finite set into itself is a mapping onto itself?

Published on 28 Mar 2026 - 5:59

score 66 · Answer 9 · 2019-05-01 01:35:18

66

Views

Discrete Math Proof Question Inductive Proof

Published on 01 May 2019 - 1:35

score 109 · Answer 10 · 2026-03-28 03:34:45

109

Views

Proving that $2^{n+2} \mid a^{2^{\large{n}}} - 1 $, for $a \in \mathbb{Z}$ odd, $n \in \mathbb{N}$

Published on 28 Mar 2026 - 3:34

score 92 · Answer 11 · 2019-05-01 09:49:28

92

Views

Matrix exponentiation -- Proof by induction

Published on 01 May 2019 - 9:49

score 37 · Answer 12 · 2026-03-25 12:32:00

37

Views

Question regarding Symmetric group and induction

Published on 25 Mar 2026 - 12:32

score 97 · Answer 13 · 2026-03-26 13:07:36

97

Views

Multidimensional integral induction

Published on 26 Mar 2026 - 13:07

score 33 · Answer 14 · 2019-05-01 23:35:15

33

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Induction proof - Stumped as to how a certain step was achieved

Published on 01 May 2019 - 23:35

score 155 · Answer 15 · 2026-03-28 05:57:59

155

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Proof by induction involving symmetric groups

Published on 28 Mar 2026 - 5:57

List Question

How is it shown using the additive cancellation law that $x\mapsto x+h$ has an inverse?

If $f_1, \ldots, f_n : \Bbb{R} \to \Bbb{R}$ are continuous then $f_n \circ f_{n-1} \circ \ldots \circ f_1$ is continuous. Proof by induction.

Proof by Induction: $∀n ≥ 5, 2^n + 2n < n!$

How prove with using mathematical induction $\prod_{i=0}^n 1+q^{2^i} = \frac{1-q^{2^{n+1}}}{1-q}$?

Using strong induction to prove divisibility statements

estimating $\prod_{i=1}^k a_i\leq \max_i a_i^{p_i}$, where $\sum_i 1/p_i=1$

How to prove an inequality using mathematical induction?

Is induction neccessary for proving that every injective mapping of a finite set into itself is a mapping onto itself?

Discrete Math Proof Question Inductive Proof

Proving that $2^{n+2} \mid a^{2^{\large{n}}} - 1 $, for $a \in \mathbb{Z}$ odd, $n \in \mathbb{N}$

Matrix exponentiation -- Proof by induction

Question regarding Symmetric group and induction

Multidimensional integral induction

Induction proof - Stumped as to how a certain step was achieved

Proof by induction involving symmetric groups

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