Question

Suppose $a,b \in Z$. The number $(a-3)b^{2}$ is even if and only if $a$ is odd or $b$ is even.

score 455 · Answer 1 · 2026-04-16 00:28:36

455

Views

Suppose $a,b \in Z$. The number $(a-3)b^{2}$ is even if and only if $a$ is odd or $b$ is even.

Published on 16 Apr 2026 - 0:28

score 47 · Answer 2 · 2026-04-14 07:07:24

47

Views

Least square Equilibrium Solution (ODE)

Published on 14 Apr 2026 - 7:07

score 59 · Answer 3 · 2026-04-12 02:39:37

59

Views

Verifying proof for the following gcd question

Published on 12 Apr 2026 - 2:39

score 45 · Answer 4 · 2026-04-16 14:42:51

45

Views

Proving if there are two different decimal representations of one number, every "decimal" digit will be either a 0 or 9

Published on 16 Apr 2026 - 14:42

score 581 · Answer 5 · 2026-04-12 11:08:58

581

Views

Show that the space of bounded functions on a closed interval is not separable.

Published on 12 Apr 2026 - 11:08

score 945 · Answer 6 · 2026-04-13 06:36:10

945

Views

Center of fundamental group

Published on 13 Apr 2026 - 6:36

score 33 · Answer 7 · 2026-04-14 05:30:38

33

Views

Verifying/Completing Proof for Rational Roots Theorem

Published on 14 Apr 2026 - 5:30

score 621 · Answer 8 · 2026-04-16 08:28:06

621

Views

All irrationals are limit points of $\mathbb{Q}$

Published on 16 Apr 2026 - 8:28

score 68 · Answer 9 · 2026-04-15 19:19:17

68

Views

Dense Subsets: If $f|_D = g|_D$ then $f=g$ (proof)

Published on 15 Apr 2026 - 19:19

score 1k · Answer 10 · 2026-04-17 05:59:25

1k

Views

If $f$ is continuous on $[a,b]$ and $g$ equals $f$ except at $x=c\in(a,b)$ then $\int_{a}^{b} f = \int_{a}^{b} g$.

Published on 17 Apr 2026 - 5:59

score 2.7k · Answer 11 · 2026-04-15 12:39:56

2.7k

Views

Proving 10 Properties of Vector Addition and Scalar Multiplication for Vectors

Published on 15 Apr 2026 - 12:39

score 84 · Answer 12 · 2026-04-12 22:15:18

84

Views

Possible eigenvalues of matrix $C = A(B^TA)^{-1}B^T$

Published on 12 Apr 2026 - 22:15

score 297 · Answer 13 · 2026-04-11 21:25:09

297

Views

If $\alpha\le\beta$ are ordinal numbers, then the equation $\xi+\alpha=\beta$ cannot have exactly $n$ solutions in $\xi$, for $1<n<\omega$

Published on 11 Apr 2026 - 21:25

score 675 · Answer 14 · 2026-04-12 13:51:51

675

Views

Supremum, bounds of subsets of real numbers.

Published on 12 Apr 2026 - 13:51

score 228 · Answer 15 · 2026-04-14 08:26:33

228

Views

Show that $D_{2n}$ is isomorphic to a semi-direct product of $\mathbb{Z}_n$ and $\mathbb{Z}_2$

Published on 14 Apr 2026 - 8:26

List Question

Suppose $a,b \in Z$. The number $(a-3)b^{2}$ is even if and only if $a$ is odd or $b$ is even.

Least square Equilibrium Solution (ODE)

Verifying proof for the following gcd question

Proving if there are two different decimal representations of one number, every "decimal" digit will be either a 0 or 9

Show that the space of bounded functions on a closed interval is not separable.

Center of fundamental group

Verifying/Completing Proof for Rational Roots Theorem

All irrationals are limit points of $\mathbb{Q}$

Dense Subsets: If $f|_D = g|_D$ then $f=g$ (proof)

If $f$ is continuous on $[a,b]$ and $g$ equals $f$ except at $x=c\in(a,b)$ then $\int_{a}^{b} f = \int_{a}^{b} g$.

Proving 10 Properties of Vector Addition and Scalar Multiplication for Vectors

Possible eigenvalues of matrix $C = A(B^TA)^{-1}B^T$

If $\alpha\le\beta$ are ordinal numbers, then the equation $\xi+\alpha=\beta$ cannot have exactly $n$ solutions in $\xi$, for $1<n<\omega$

Supremum, bounds of subsets of real numbers.

Show that $D_{2n}$ is isomorphic to a semi-direct product of $\mathbb{Z}_n$ and $\mathbb{Z}_2$

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