Question

Proof by induction $\gcd(2^n-1,2^m-1)=2^{\gcd(n,m)}-1$

score 106 · Answer 1 · 2026-04-15 18:51:13

106

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Proof by induction $\gcd(2^n-1,2^m-1)=2^{\gcd(n,m)}-1$

Published on 15 Apr 2026 - 18:51

score 45 · Answer 2 · 2026-04-11 17:35:54

45

Views

Proofs on inequalities of real numbers

Published on 11 Apr 2026 - 17:35

score 42 · Answer 3 · 2026-04-04 10:54:41

42

Views

Getting the elements of an equivalence class, and total number of equivalence classes

Published on 04 Apr 2026 - 10:54

score 33 · Answer 4 · 2026-04-13 20:27:10

33

Views

which elements of $\mathbb{Z}_n$ give the entire ring?

Published on 13 Apr 2026 - 20:27

score 150 · Answer 5 · 2026-04-09 06:06:28

150

Views

Show that the decision problem for implication is solvable if and only if the decision problem for validity is solvable

Published on 09 Apr 2026 - 6:06

score 38 · Answer 6 · 2026-04-16 10:13:18

38

Views

Rephrasing what this proof is asking

Published on 16 Apr 2026 - 10:13

score 48 · Answer 7 · 2026-04-15 04:22:55

48

Views

If $T \colon V \to V$ is a linear operation and $B$ is a basis for $V$, then $T$ is one-to-one $\iff$ $[T]_B$ is invertible.

Published on 15 Apr 2026 - 4:22

score 35 · Answer 8 · 2026-04-09 06:18:25

35

Views

How to simplify this expression to get the target expression by induction.

Published on 09 Apr 2026 - 6:18

score 128 · Answer 9 · 2026-04-17 09:09:34

128

Views

the suprema of $p$ norms in a $n$-ball

Published on 17 Apr 2026 - 9:09

score 100 · Answer 10 · 2026-04-14 03:21:19

100

Views

How does one subtract from concatenation in order to prove that $4\times 5 + 67 = 45 + 6\times 7$?

Published on 14 Apr 2026 - 3:21

score 92 · Answer 11 · 2026-04-12 15:56:10

92

Views

If the proof is correct, is there a shorter way?

Published on 12 Apr 2026 - 15:56

score 78 · Answer 12 · 2026-04-11 18:55:44

78

Views

Prove the following by deduction rules for qualifiers and implication

Published on 11 Apr 2026 - 18:55

score 77 · Answer 13 · 2026-04-13 19:54:50

77

Views

How to start this proof? The line through $(a,b)$ and $(c,d)$ is the best linear approximation of any function through those points, as $a\to c$.

Published on 13 Apr 2026 - 19:54

score 339 · Answer 14 · 2026-04-14 13:11:41

339

Views

My attempt at finding the Galois group of $E:\Bbb Q$, where $E$ is the splitting field of $x^3-5$

Published on 14 Apr 2026 - 13:11

score 79 · Answer 15 · 2026-04-14 23:32:59

79

Views

Prove that $\overline {B^*} = B.$

Published on 14 Apr 2026 - 23:32

List Question

Proof by induction $\gcd(2^n-1,2^m-1)=2^{\gcd(n,m)}-1$

Proofs on inequalities of real numbers

Getting the elements of an equivalence class, and total number of equivalence classes

which elements of $\mathbb{Z}_n$ give the entire ring?

Show that the decision problem for implication is solvable if and only if the decision problem for validity is solvable

Rephrasing what this proof is asking

If $T \colon V \to V$ is a linear operation and $B$ is a basis for $V$, then $T$ is one-to-one $\iff$ $[T]_B$ is invertible.

How to simplify this expression to get the target expression by induction.

the suprema of $p$ norms in a $n$-ball

How does one subtract from concatenation in order to prove that $4\times 5 + 67 = 45 + 6\times 7$?

If the proof is correct, is there a shorter way?

Prove the following by deduction rules for qualifiers and implication

How to start this proof? The line through $(a,b)$ and $(c,d)$ is the best linear approximation of any function through those points, as $a\to c$.

My attempt at finding the Galois group of $E:\Bbb Q$, where $E$ is the splitting field of $x^3-5$

Prove that $\overline {B^*} = B.$

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