# David Peterson

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bio website location New York, United States age 29 member for 2 years, 1 month seen 13 mins ago profile views 319

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 9 Should I be afraid of using known identities that I can't prove? 7 Finding polynomials with their values at points 7 Does $\lim_{R \to \infty} \int_{C_{R}} e^{iz} \ dz \to 0$? 4 Prove that $2|(x^4-3) <=> 4|(x^2+3)$ 4 Prove no real number satisfies $x^{2} = -1$

# 2,761 Reputation

 +10 If $(m,n)\in\mathbb Z_+^2$ satisfies $3m^2+m = 4n^2+n$ then $(m-n)$ is a perfect square. +30 How many digits are there in 100!? +8 Proving something is a linear transformation? +15 Let $A=\{0,1\}$. How many strings of length $5$ are in $A^*$ where at least two $1$ are next to each other?

# 6 Questions

 7 If $(m,n)\in\mathbb Z_+^2$ satisfies $3m^2+m = 4n^2+n$ then $(m-n)$ is a perfect square. 6 What is good chalk for lecturing? 4 Show that $\sum\limits_{i=0}^{n/2} {n-i\choose i}2^i = \frac13(2^{n+1}+(-1)^n)$ 4 Quantifying infinitely large sums such as $\sum_{x\in\mathbb{R}^+} x$ 3 If $N\in \mathbb N$ is a palindrome in base $b$, can we say it is a palindrome in other bases?

# 101 Tags

 25 linear-algebra × 27 12 probability × 5 15 calculus × 14 11 integration × 14 14 group-theory × 9 11 combinatorics × 9 13 algebra-precalculus × 5 11 soft-question × 4 12 abstract-algebra × 8 9 trigonometry × 7

# 3 Accounts

 Mathematics 2,761 rep 420 Stack Overflow 101 rep 1 TeX - LaTeX 101 rep 1