User Tyler Hilton - Mathematics Stack Exchange

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	626 reputation	bio	website		visits	member for	2 years, 10 months
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148

270

votes

9

answers

295

kviews

Is this Batman equation for real?

jun 2 '12 at 8:38 copper.hat 28.5k

48

80

votes

91

answers

8

kviews

Which one result in maths has surprised you the most?

big-list

mar 8 at 20:38 Arthur Fischer♦ 21.4k

25

53

votes

3

answers

2

kviews

Is there an integral that proves $\pi > 333/106$?

calculus real-analysis integral approximation pi

feb 25 at 15:59 Michael Hardy 48.4k

18

48

votes

4

answers

1

kviews

How is a group made up of simple groups?

abstract-algebra group-theory

mar 26 at 12:20 azimut 5,573

25

35

votes

13

answers

4

kviews

Proving $\int_{0}^{+\infty} e^{-x^2} dx = \frac{\sqrt \pi}{2}$

calculus integral improper-integrals

may 14 at 8:59 Sharkos 4,890

14

25

votes

17

answers

3

kviews

Examples of mathematical induction

soft-question induction examples-counterexamples big-list teaching

apr 13 at 2:23 Serkan 3,139

13

14

votes

5

answers

1

kviews

Math GRE Subject Exam

education advice

mar 31 at 6:19 yiyi 1,978

9

14

votes

4

answers

3

kviews

Why can't the Polynomial Ring be a Field?

ring-theory

jan 13 at 6:12 Πάρτη Κοηλί 3,252

12

14

votes

5

answers

1

kviews

Please show $\int_0^\infty x^{2n} e^{-x^2}\mathrm dx=\frac{(2n)!}{2^{2n}n!}\frac{\sqrt{\pi}}{2}$ without gamma function?

calculus analysis integral

oct 21 at 18:20 Chris's wise sister 11.5k

3

13

votes

3

answers

400

views

challenging alternating infinite series involving $\ln$

sequences-and-series logarithms

oct 2 '11 at 13:27 robjohn♦ 60.1k

6

13

votes

3

answers

754

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Expressing $\sin(2x)$ as a polynomial of $\sin{x}$

analysis trigonometry

jun 9 '11 at 16:12 Community♦ 1

13

votes

10

answers

1

kviews

How to prove $[a,b]$ is compact?

general-topology big-list compactness

may 14 at 4:37 Metta World Peace 1,915

6

12

votes

5

answers

301

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Alternate proof that for every natural number $n,\ \left\lfloor\left(\frac{7+\sqrt{37}}{2}\right)^n\right\rfloor$ is divisible by $3$

elementary-number-theory recurrence-relations induction

jan 4 at 16:43 Matt E 58.2k

4

12

votes

1

answer

2

kviews

Why is $\int_0^1 (1-x^7)^{1/5} - (1-x^5)^{1/7} dx=0$?

calculus

aug 3 '10 at 9:08 KennyTM 3,265

6

11

votes

3

answers

420

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Twin primes of form $2^n+3$ and $2^n+5$

number-theory prime-numbers

oct 8 '11 at 1:40 Community♦ 1

6

11

votes

7

answers

559

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Any open subset of $\Bbb R$ is a countable union of disjoint open intervals. [Collecting Proofs]

real-analysis general-topology analysis big-list connectedness

may 19 at 11:45 Stromael 70

2

11

votes

3

answers

236

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$(2^m -1)(2^n-1)$ divides $(2^{mn} -1)$ if and only if $\gcd(m,n) = 1$.

elementary-number-theory

nov 3 at 17:07 Joe 56

3

10

votes

5

answers

1

kviews

If $n$ is composite, then $n$ divides $(n-1)!$.

elementary-number-theory modular-arithmetic

jul 17 at 17:37 Community♦ 1

5

9

votes

5

answers

2

kviews

What calculation shortcuts exist to help or speed-up mental (or paper) calculations?

big-list arithmetic

mar 23 at 19:35 Stahl 3,627

3

9

votes

2

answers

306

views

Sum with sine in denominator

analysis trigonometry

jul 30 '11 at 8:28 Hans Lundmark 14.5k

1

8

votes

5

answers

571

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Importance of Least Upper Bound Property of $\mathbb{R}$

real-analysis analysis

dec 11 '11 at 21:22 Jonas Meyer 35.1k

2

7

votes

2

answers

253

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Does $\varphi(mn) = \varphi(m)\varphi(n)$ imply that $\gcd(m,n) = 1$?

elementary-number-theory

feb 26 '12 at 22:15 Alex Becker♦ 28.4k

1

6

votes

5

answers

1

kviews

If $\gcd(a,b)=1$, then $\gcd(a^n,b^n)=1$

elementary-number-theory

jul 5 at 4:18 Community♦ 1

1

6

votes

1

answer

501

views

If $2^n+1$ is prime, why must $n$ be a power of $2$?

elementary-number-theory

may 4 '12 at 10:06 anon 40.3k

2

6

votes

1

answer

941

views

If p is an odd prime, prove that $1^2 \times 3^2 \times 5^2 \cdots \times (p-2)^2 \equiv (-1)^{(p+1)/2}\pmod{p}$

elementary-number-theory

jun 29 at 18:13 user17762 76.6k

2

6

votes

6

answers

1

kviews

Show that $11^{n+1}+12^{2n-1}$ is divisible by $133$.

proof-strategy induction divisibility

may 29 '12 at 17:18 Jose Garcia 1,828

4

6

votes

4

answers

659

views

Why is gradient the direction of steepest ascent?

calculus gradient-flows

mar 18 at 14:43 whateverguy 28

4

6

votes

6

answers

1

kviews

Find the square root of a matrix

linear-algebra

aug 25 '11 at 9:35 Pierre-Yves Gaillard 8,487

1

5

votes

2

answers

348

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How to prove the following about a group G?

group-theory

mar 21 '11 at 18:11 Community♦ 1

2

5

votes

2

answers

152

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Prove that $\gcd( a + a', b + b' ) = 1$ if $ab - a'b' = \pm 1$

elementary-number-theory

mar 1 '11 at 5:06 Zarrax 19.7k

Tyler Hilton

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