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Mathematics
Kirk Fox's user avatar
Kirk Fox's user avatar
Kirk Fox's user avatar
Kirk Fox
  • Member for 6 years, 3 months
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About

I am currently a college student. My main educational focuses are mathematics, computer programming, and linguistics. During my free time, I investigate mathematical ideas that interest me. I aim to use this site to help me develop my mathematical reasoning skills and hopefully help others in the process.

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17
Is the sum of digits of $\left(16^k - 1\right)$ less than $6k$ for $k > 223$?
Apr 29, 2018
12
What is $\lim_{x\to1^{-}} (1-x)\left(\sum_{i=0}^{\infty} x^{i^2}\right)^{2}$?
Apr 16, 2018
12
Why are $\lfloor\zeta(\zeta(n))\rfloor$,$\left\lfloor\frac{1}{\zeta(n)-1}\right\rceil$, and $\lceil\Gamma(\zeta(n)-1)\rceil$ so similar?
May 1, 2018
11
What is the limit of the average value of the first $n$ terms of $(1, 2, 1, 1, 1, 2, 1, 1, 2, 1, ...)$ as $n\to\infty$?
Apr 13, 2018
9
How to evaluate $\int_{0}^{\infty} \int_{0}^{\infty} \frac{\sin(x) \sin(y) \sin(x+y)}{x y(x+y)} ~{\rm d}x ~{\rm d}y$?
Apr 22, 2018
7
Does the amount of positive integers $x \le n$ without middle divisors divided by $n$ converge to $\frac{3}{4}$?
May 8, 2018
6
Integrating a function using u-substitution
May 11, 2018
5
What percentage of positive integers, written in base 10, are composite regardless of what base they are interpreted in?
Sep 1, 2020
5
Evaluate $\int_{-n}^{n} (-1)^{\lfloor x \rfloor}dx$
Jun 1, 2018
3
Why is $\sum_{k=0}^{\infty} \frac{k!}{\prod_{j=0}^{k} \left(2j+3\right)} = 2-\frac{\pi}{2}$ and how is this solution derived?
Jan 24, 2020
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9
Are there words in Klingon for different types of numbers (ex. integers, rational numbers, etc.)?