Mathematics
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Franklin Pezzuti Dyer
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567 Answers

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126
Is there a symbol for “taking a derivative of something”?
May 16 '17 at 19:56
93
Can sum of a rational number and its reciprocal be an integer?
Aug 19 '17 at 15:45
45
Unexpected examples of natural logarithm
Jul 3 '17 at 13:22
27
Is the Fibonacci sequence exponential?
Nov 1 '18 at 21:39
25
An astounding identity: $\int_0^{\pi/2}\ln\lvert\sin(mx)\rvert\cdot \ln\lvert\sin(nx)\rvert\, dx$
Jun 20 '18 at 21:45
25
Find the probability that the thirteenth spade will appear before the thirteenth diamond?
Sep 29 '18 at 22:29
18
what's the real value of $\sqrt2^{\sqrt2^{\large \sqrt2^{\sqrt2^{\unicode{x22F0}}}}}$?
Oct 7 '17 at 18:10
18
Prove that $2^{66}-1$ is not a prime number
Jun 29 '17 at 19:11
15
Solving $f(x) = f(x/2) + f(x/3) + x$
Oct 18 '18 at 23:09
14
Request for crazy integrals
Dec 18 '18 at 0:43
14
Integral Representation of the Dottie Number
Dec 23 '17 at 22:16
14
What other ways can I go about finding the solution to this limit: $\lim\limits_{x \to 0} \frac{9^x - 4^x}{2^x - 3^x}$
Nov 8 '17 at 0:18
14
Value of an exponential function
Jun 24 '17 at 18:56
13
Suggestions for mathematical solitaire against boredom
Jul 27 '17 at 23:59
13
Integrating the formula for the sum of the first $n$ natural numbers
Jun 26 '17 at 15:48
11
Calculate $\int_{-\infty}^\infty \frac{e^{-x^2}}{x^2+a^2}\ dx$.
Dec 18 '18 at 0:18
10
Find the value of $1-\frac{1}{7}+\frac{1}{9}-\frac{1}{15}+\frac{1}{17}-\frac{1}{23}+\frac{1}{25}…$
Dec 18 '18 at 15:26
10
Calculate $\sum_{n=0}^\infty \frac1{(4n^2 - 1)^2}$
Sep 29 '18 at 17:08
10
Solving an infinite product of consecutive square roots
Aug 19 '17 at 16:20
10
$\forall n \in \mathbb{N}: f(n)=0 \Longrightarrow f'(n)=0$?
Jun 24 '17 at 20:28
10
Good final exam bonus problem for calculus students?
May 2 '17 at 23:54
9
How do people create difficult, recreational problems (e.g. like those found in competitions such as the IMO)?
Nov 11 '19 at 17:29
9
Seeking Methods to solve $ I = \int_{0}^{\frac{\pi}{2}} \frac{\arctan\left(\sin(x)\right)}{\sin(x)}\:dx$
Dec 4 '18 at 0:06
9
Prove that the minimum value of $\sin^n(x)+\cos^n(x)$ is $\frac{1}{2^{\frac{n}{2}-1}}$, if n is even
Jun 28 '17 at 16:17
8
Counting ordered pairs $(a,b)$ satisfying $a^2+b^2=(a+b)^2$, with $a$ and $b$ in the interval $[-100,100]$
Jun 10 '20 at 12:45
8
Prove $\frac{1}{2}\sum_p \frac{1}{p^2}+\frac{1}{3}\sum_p \frac{1}{p^3}+\cdots$ converges
Sep 23 '17 at 21:11
8
Integral $\int_{0}^{\infty}x^{-x}dx$
Jul 13 '17 at 22:02
8
Proving that a recursive sequence will eventually reach an even number.
Jul 10 '17 at 22:26
7
Given that $\cos\left(\dfrac{2\pi m}{n}\right) \in \mathbb{Q}$ prove $\cos\left(\dfrac{2\pi}{n}\right) \in \mathbb{Q}$
Feb 12 at 16:27
7
Let $\omega_n=e^{2\pi i/n}$. Prove $1+\omega_n+\omega^2_n+\cdots+\omega^{n-1}_n=0.$
Feb 10 '20 at 21:01
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