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comment Fast method to pick random numbers?
If you're drawing a large number of cards, shuffling isn't any slower than drawing randomly, because once you've shuffled, you just need to iterate through the array. You'll still need to make $n$ random picks, but now they're all at the beginning, instead of spaced out.
Apr
1
answered Are all functions that have an inverse bijective functions?
Mar
25
awarded  Enlightened
Mar
20
answered explaining $|a+b|≤|a|+|b|$ in simple terms
Mar
10
comment Paradox: Is $1 \in (0,1)$?
Nothing is wrong about representing them as decimals. You have the clause "they are not all zero (or else $x = 0$)." There is a similar clause you should also add: "they are not all nine (or else $x = 1$)".
Mar
8
comment Given two potatoes, prove that there is a loop of wire which fits around both
Unfortunately, my geometric proofs are a lot worse than my geometric intuition. How would one prove that? You'd have to somehow avoid the case where two flat sides of the potatoes are flush against each other, which seems hard.
Mar
8
awarded  Nice Answer
Mar
8
answered Given two potatoes, prove that there is a loop of wire which fits around both
Mar
6
awarded  Nice Answer
Mar
6
revised Tetrahedron and Sphere
added 8 characters in body
Mar
6
comment Tetrahedron and Sphere
Whoops, I did mean that. Thanks.
Mar
6
comment What are some real life applications of limits?
Limits are how you make "infinitesimal" rigorous. Without it, it's very hard to define derivatives and integrals, which are the cornerstones of physics.
Mar
6
answered Tetrahedron and Sphere
Mar
4
comment Solving the equation $-5a = 15$: is it possible to multiply a negative number by a positive and make it positive?
Who says $a$ is positive?
Feb
16
comment On groups of four elements
Which element is the identity? Keep in mind that no two of $a$, $b$, $c$, and $d$ are equal. Once you know which it is, think about the pairs of inverses.
Jan
30
comment Why is n mod 0 undefined?
The trick is "a divided by b" vs "b divides a". The latter is defined as "there exists an $x$ such that $bx = a$". But the former is defined only when that $x$ is unique (because it returns that $x$). So even though $0/0$ is undefined, $0 \mid 0$, because there exists an $x$ such that $0x = 0$ (every $x$, actually). But zero doesn't divide anything else, because $0x$ is always zero.
Jan
28
revised Requirement That a Vector be Related to Itself Through Identity
added 353 characters in body
Jan
28
answered Requirement That a Vector be Related to Itself Through Identity
Jan
13
answered How to resemble hyperbolic trigonometric functions (HTF) from normal trigonometric functions(NTF)??
Jan
8
awarded  Yearling