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Mathematics
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Adriano
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1,382 Answers

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99 votes

Prove that every group of order $4$ is abelian

76 votes
Accepted

What would have been our number system if humans had more than 10 fingers? Try to solve this puzzle.

62 votes
Accepted

Prove that $\log _5 7 < \sqrt 2.$

55 votes
Accepted

Bayes rule with multiple conditions

41 votes
Accepted

A finite set always has a maximum and a minimum.

31 votes
Accepted

Do equal bases imply equal powers?

28 votes

The meaning of notation like $f\colon \mathbb R^2 \to \mathbb R$, $x \in \mathbb R^n$, and $x \in \mathbb R$.

19 votes
Accepted

Proof that any linear system cannot have exactly 2 solutions.

18 votes

Prove that the additive inverse of an odd integer is an odd integer

16 votes
Accepted

Prove that the graph is connected

13 votes
Accepted

How to integrate $\int \frac{1}{\cos(x)}\,\mathrm dx$

13 votes

Mantel's Theorem proof verification

13 votes
Accepted

Help Evaluating $\lim_{x \to \infty} \sqrt{x + \sqrt{x + \sqrt{x}}} - \sqrt{x}$

13 votes

Why is this limit statement false?

12 votes

Which law of logical equivalence says $P\Leftrightarrow Q ≡ (P\lor Q) \Rightarrow(P\land Q)$

12 votes
Accepted

How many numbers can be formed using digits 1 2 3 4 5 6 7 8 9 such that they are in increasing order(e.g. 12345, 578)?

12 votes
Accepted

Proof of Inequality using AM-GM

11 votes
Accepted

Prove $s$ is a supremum iff for all $\epsilon>0$ there exists $a\in A$ such that $a>s-\epsilon$.

11 votes
Accepted

Isosceles triangle has the least perimeter among triangles on the same base with same area?

11 votes

For what natural numbers is $n^3 < 2^n$? Prove by induction

11 votes
Accepted

How to evaluate $\displaystyle \lim_{x \to \infty}\frac{8-\sqrt{x}}{8+\sqrt{x}}$

10 votes

Solve an equation with $e^{(x-2)}=e^{4}\cdot e^{\sqrt{x}}$

10 votes
Accepted

Show that any continuous $f:[0,1] \rightarrow [0,1]$ has a fixed point $\zeta$

10 votes
Accepted

Cube root of a binomial

10 votes
Accepted

Write $1681$ using four $4$s

10 votes
Accepted

Is it possible to express disjunction through conjunction and implication?

9 votes
Accepted

If $n\ge m$, then the number of $m$-cycles in $S_n$ is given by $\frac{n(n-1)(n-2)\cdots(n-m+1)}{m}$.

9 votes
Accepted

Curves with a common tangent line

9 votes
Accepted

Formula for the angle of a line $y = mx$ as a function of $m$.

9 votes

Confusing definition of limit points

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