Question

Is the inequality $(\sqrt{x} - \sqrt{y})^2 \geqslant 0$ always true for $x,y \in \mathbb{R}^+$?

score 87 · Answer 1 · 2026-04-15 03:21:53

87

Views

Is the inequality $(\sqrt{x} - \sqrt{y})^2 \geqslant 0$ always true for $x,y \in \mathbb{R}^+$?

Published on 15 Apr 2026 - 3:21

score 59 · Answer 2 · 2026-05-10 21:55:58

59

Views

Converting a decimal number to a number having all 1s in another base

Published on 10 May 2026 - 21:55

score 788 · Answer 3 · 2026-04-14 11:48:39

788

Views

Primes in the form $ 2^n k +1$

Published on 14 Apr 2026 - 11:48

score 16 · Answer 4 · 2026-04-18 12:44:55

16

Views

If graphical observations of a limit are feasible for totient approxinmation\extension onto $\mathbb R$

Published on 18 Apr 2026 - 12:44

score 242 · Answer 5 · 2026-04-16 17:27:40

242

Views

Find the remainder $R$ of $(1^2+1)(2^2+1)...(p^2+1)$ divided by $p$

Published on 16 Apr 2026 - 17:27

score 659 · Answer 6 · 2026-04-14 18:33:53

659

Views

What is the maximum number of rational points that can lie on a circle in $\mathbb{R}^2$ whose center is not a rational point?

Published on 14 Apr 2026 - 18:33

score 340 · Answer 7 · 2026-05-13 20:48:53

340

Views

When does projecting a lattice onto a subspace give another lattice?

Published on 13 May 2026 - 20:48

score 276 · Answer 8 · 2026-04-14 21:23:31

276

Views

Explain these integer solutions

Published on 14 Apr 2026 - 21:23

score 317 · Answer 9 · 2026-05-14 07:46:02

317

Views

Find the value of an integer $a$ such that $ a^2 +6a +1 $ is a perfect square.

Published on 14 May 2026 - 7:46

score 224 · Answer 10 · 2026-05-14 11:00:04

224

Views

Writting Legendre Symbol as an element of group cohomology of $\mathbb{Q}$

Published on 14 May 2026 - 11:00

score 987 · Answer 11 · 2026-04-17 09:34:53

987

Views

Bezout's Identity: Finding A Pair of Integers

Published on 17 Apr 2026 - 9:34

score 245 · Answer 12 · 2026-05-10 17:56:00

245

Views

Finding primitive roots modulo $x$

Published on 10 May 2026 - 17:56

score 1.4k · Answer 13 · 2026-05-10 18:59:43

1.4k

Views

Number of steps of Euclidean algorithm. why $r_i{_+}_2 < \frac{1}{2}r_i$?

Published on 10 May 2026 - 18:59

score 61 · Answer 14 · 2026-04-25 16:42:17

61

Views

Independence of random products mod $p$

Published on 25 Apr 2026 - 16:42

score 333 · Answer 15 · 2026-04-15 05:45:55

333

Views

Log Fibonacci = Theta

Published on 15 Apr 2026 - 5:45

List Question

Is the inequality $(\sqrt{x} - \sqrt{y})^2 \geqslant 0$ always true for $x,y \in \mathbb{R}^+$?

Converting a decimal number to a number having all 1s in another base

Primes in the form $ 2^n k +1$

If graphical observations of a limit are feasible for totient approxinmation\extension onto $\mathbb R$

Find the remainder $R$ of $(1^2+1)(2^2+1)...(p^2+1)$ divided by $p$

What is the maximum number of rational points that can lie on a circle in $\mathbb{R}^2$ whose center is not a rational point?

When does projecting a lattice onto a subspace give another lattice?

Explain these integer solutions

Find the value of an integer $a$ such that $ a^2 +6a +1 $ is a perfect square.

Writting Legendre Symbol as an element of group cohomology of $\mathbb{Q}$

Bezout's Identity: Finding A Pair of Integers

Finding primitive roots modulo $x$

Number of steps of Euclidean algorithm. why $r_i{_+}_2 < \frac{1}{2}r_i$?

Independence of random products mod $p$

Log Fibonacci = Theta

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