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10 votes
7 answers
8k views

Product of slopes is -1 iff perpendicular proof from first principles

8 votes
3 answers
1k views

$x^p-x+a$ irreducible for nonzero $a\in K$ a field of characteristic $p$ prime

7 votes
1 answer
2k views

Prove three sides make a triangle from basic assumptions

5 votes
2 answers
14k views

Prove converse Thales theorem, proportional sides imply parallel lines

4 votes
2 answers
2k views

Antiderivative is continuous

3 votes
2 answers
979 views

Find proof Egyptian Fractions and modified Euclidean Algorithm

3 votes
1 answer
3k views

Geometry Reflection Notation

3 votes
1 answer
1k views

Chinese Remainder Theorem not necessarily coprime moduli (part of proof)

2 votes
2 answers
400 views

Primitive element of the fixed field of a subgroup of the galois group of a prime cyclotomic extension

2 votes
0 answers
1k views

Mobius band does not retract to boundary circle - specific part

2 votes
1 answer
261 views

Extending bounded linear functionals from $L^q$ to $L^p$ on finite measure spaces

2 votes
1 answer
50 views

Existence of probability measure, $\lim_{N\to\infty}\frac{1}{N}\sum_{j=1}^N f(x_j)$

2 votes
2 answers
92 views

Absolute continuity, shifted set

1 vote
1 answer
970 views

3 reflections leads to glide

0 votes
2 answers
374 views

Absolutely continuous function whose derivative is in $L^2([0,1])$ etc., evaluate $\lim_{x\to0^+}\frac{f(x)}{\sqrt{x}}$