User See Hai

1

9

votes

3

answers

188

views

Showing $64$ divides $5^n-8n^2+4n-1$ without induction

elementary-number-theory

Feb 27 '19 at 12:17 lhf 202k

5

7

votes

2

answers

214

views

Is $x=2,y=13$ the unique solution?

Dec 28 at 17:10 mathninja 279

2

5

votes

2

answers

115

views

Alternative approaches to prove the following inequality

inequality contest-math cauchy-schwarz-inequality jensen-inequality

Jan 24 at 4:02 nguyenhuyenag 4,121

1

5

votes

0

answers

116

views

Solving the equation $f(x)=f^{-1}(x)$. [duplicate]

functions proof-verification functional-equations

Apr 27 '19 at 14:48 mrtaurho 13k

1

4

votes

3

answers

100

views

Sum to infinity of a Series

sequences-and-series analysis summation

Feb 21 '19 at 10:38 Haris Gušić 4,107

3

votes

7

answers

180

views

Alternative approach for proving that for any $x\in\mathbb R^+$, $x^2+3x+\frac{1}{x} \ge \frac{15}{4}$.

algebra-precalculus inequality a.m.-g.m.-inequality

Dec 20 at 14:33 trancelocation 29.1k

2

3

votes

2

answers

98

views

Help with proving/disproving an inequality

algebra-precalculus inequality optimization contest-math symmetric-polynomials

Jul 30 at 2:54 nguyenhuyenag 4,121

2

3

votes

1

answer

66

views

Verification of a Geometry proof

geometry contest-math euclidean-geometry

Jul 22 at 17:06 Yes it's me 1,718

3

votes

1

answer

54

views

Synthetic Proof for a Geometry problem

geometry euclidean-geometry alternative-proof

Apr 24 '20 at 19:02 Community♦ 1

3

votes

0

answers

60

views

Existence of Elementary Antiderivatives

integration

Jul 23 '19 at 17:39 zoli 19.3k

2

votes

1

answer

27

views

Complement of a Disconnected Graph is Connected

graph-theory solution-verification contest-math

Mar 18 at 12:52 Steven 138

2

votes

1

answer

91

views

Inequality $\dfrac{1}{\sqrt{1+2x}} + \dfrac{1}{\sqrt{1+2y}} + \dfrac{1}{\sqrt{1+2z}} \leq \sqrt{3}$.

inequality cauchy-schwarz-inequality a.m.-g.m.-inequality

Jan 29 at 1:59 nguyenhuyenag 4,121

2

votes

1

answer

55

views

Correction of a flawed proof that the $n$th harmonic number is never an integer

elementary-number-theory proof-writing solution-verification

Jul 31 at 5:51 John Omielan 35k

1

2

votes

1

answer

45

views

Question regarding permutations as a product of transpositions

linear-algebra abstract-algebra group-theory

Jun 17 at 18:52 Matt Samuel 54.3k

2

votes

1

answer

100

views

Isomorphism between $S_n$ and a subgroup of $S_{n+1}$

abstract-algebra group-theory proof-writing permutations solution-verification

May 31 at 18:04 Community♦ 1

1

2

votes

0

answers

45

views

Shell Integration

integration

Aug 19 '19 at 1:25 See Hai 1,634

1

vote

4

answers

136

views

Inequality $a^2b(a-b) + b^2c(b-c) + c^2a(c-a) \geq 0$

algebra-precalculus inequality contest-math geometric-inequalities rearrangement-inequality

Feb 12 at 16:10 Donald Splutterwit 34.5k

1

vote

1

answer

67

views

Behaviour of a Logistic Differential Equation

calculus ordinary-differential-equations

May 24 at 21:12 maxmilgram 2,236

1

vote

1

answer

44

views

Verification of a proof for a classic problem

elementary-number-theory proof-writing solution-verification

May 22 at 14:54 quasi 52.3k

1

vote

2

answers

63

views

Closed form for the infinite product $S_n=\Pi_{i=1}^{\infty} (1+\frac{1}{2^i})$

real-analysis sequences-and-series contest-math closed-form infinite-product

Apr 19 '20 at 14:37 YuiTo Cheng 4,476

1

vote

2

answers

263

views

Canonical Prime Factorisation

elementary-number-theory proof-verification

Nov 7 '19 at 16:08 YiFan 14.7k

0

votes

2

answers

54

views

Sign change of a polynomial between roots

calculus algebra-precalculus polynomials

Dec 17 at 4:22 See Hai 1,634

1

0

votes

0

answers

59

views

Closed form for a recurrence relation

sequences-and-series algebra-precalculus recurrence-relations generating-functions

Jul 28 at 15:09 Z Ahmed 33.6k

0

votes

3

answers

42

views

Proving that an inequality holds [duplicate]

inequality alternative-proof a.m.-g.m.-inequality holder-inequality

Jul 7 at 14:35 Michael Rozenberg 177k

0

votes

0

answers

41

views

Condition for the sum/difference of random variables to be normally distributed.

probability-theory probability-distributions normal-distribution

Jun 24 at 18:19 StubbornAtom 13.1k

0

votes

1

answer

75

views

Understanding the Law(s) of Large Numbers

probability probability-theory

Jun 9 at 20:50 LostStatistician18 461

0

votes

0

answers

39

views

Deriving the PDF of the exponential distribution

probability probability-distributions random-variables

Apr 21 '20 at 0:12 See Hai 1,634

0

votes

0

answers

37

views

Confusion regarding Confidence Intervals

probability statistics statistical-inference confidence-interval descriptive-statistics

Apr 20 '20 at 6:38 See Hai 1,634

0

votes

3

answers

33

views

Global Maxima of a function

functions trigonometry exponential-function maxima-minima

Apr 3 '20 at 16:27 Z Ahmed 33.6k

0

votes

2

answers

254

views

Properties of the adjacency matrix

proof-verification graph-theory

Oct 15 '19 at 9:09 See Hai 1,634

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33 Questions

Showing $64$ divides $5^n-8n^2+4n-1$ without induction

Is $x=2,y=13$ the unique solution?

Alternative approaches to prove the following inequality

Solving the equation $f(x)=f^{-1}(x)$. [duplicate]

Sum to infinity of a Series

Alternative approach for proving that for any $x\in\mathbb R^+$, $x^2+3x+\frac{1}{x} \ge \frac{15}{4}$.

Help with proving/disproving an inequality

Verification of a Geometry proof

Synthetic Proof for a Geometry problem

Existence of Elementary Antiderivatives

Complement of a Disconnected Graph is Connected

Inequality $\dfrac{1}{\sqrt{1+2x}} + \dfrac{1}{\sqrt{1+2y}} + \dfrac{1}{\sqrt{1+2z}} \leq \sqrt{3}$.

Correction of a flawed proof that the $n$th harmonic number is never an integer

Question regarding permutations as a product of transpositions

Isomorphism between $S_n$ and a subgroup of $S_{n+1}$

Shell Integration

Inequality $a^2b(a-b) + b^2c(b-c) + c^2a(c-a) \geq 0$

Behaviour of a Logistic Differential Equation

Verification of a proof for a classic problem

Closed form for the infinite product $S_n=\Pi_{i=1}^{\infty} (1+\frac{1}{2^i})$

Canonical Prime Factorisation

Sign change of a polynomial between roots

Closed form for a recurrence relation

Proving that an inequality holds [duplicate]

Condition for the sum/difference of random variables to be normally distributed.

Understanding the Law(s) of Large Numbers

Deriving the PDF of the exponential distribution

Confusion regarding Confidence Intervals

Global Maxima of a function

Properties of the adjacency matrix