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bio website joezeng.com
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age 20
visits member for 2 years, 2 months
seen 2 hours ago

Apr
16
comment Is $(-1)^{1/8} + (-1)^{7/8}$ ever a value whose real component is $0$?
That's an interesting problem, actually. Are there any other systems besides $\mathbb{Z}_2$ where there exists that root?
Apr
16
revised Is $(-1)^{1/8} + (-1)^{7/8}$ ever a value whose real component is $0$?
added 1735 characters in body
Apr
16
comment Is $(-1)^{1/8} + (-1)^{7/8}$ ever a value whose real component is $0$?
If a number has a "real component", that usually implies it also has an imaginary component. In modular arithmetic there's no such thing as a "real component".
Apr
16
comment Is $(-1)^{1/8} + (-1)^{7/8}$ ever a value whose real component is $0$?
LOL at the mod-2 solution.
Apr
16
answered Is $(-1)^{1/8} + (-1)^{7/8}$ ever a value whose real component is $0$?
Apr
12
revised How can I formulate the two guards puzzle to disallow references to the other guard?
deleted 70 characters in body
Apr
11
comment Is 'no solution' the same as 'undefined'?
Yes, by an expression representing an equation I mean an expression that represent the solution of that equation using a term defined for that statement.
Apr
2
comment What is 48÷2(9+3)?
And personally, I like to think of the obelus as a symbol meaning that "something" goes on top and bottom of the line, and the dots are just placeholders for the things on the left and right.
Mar
27
accepted Can a disconnected set be simply connected?
Mar
27
comment Can a disconnected set be simply connected?
In this picture, my calculus professor would consider set $B$ to be disconnected but also simply connected.
Mar
27
comment Can a disconnected set be simply connected?
In the example I gave above, the circle of radius $\frac 14$ centered around $(1, 0)$ would be considered a closed curve in the set.
Mar
27
comment Can a disconnected set be simply connected?
The closed curve would be on one connected component of the space, is how the professor appeared to explain it.
Mar
27
asked Can a disconnected set be simply connected?
Mar
26
comment How can I formulate the two guards puzzle to disallow references to the other guard?
Not at all. It just tips off that the traditional answer won't work, and subtly (or at least naturally) enough for my purposes.
Mar
26
comment How can I formulate the two guards puzzle to disallow references to the other guard?
Put it in an answer and I'll accept it.
Mar
26
comment How can I formulate the two guards puzzle to disallow references to the other guard?
Actually, that would work. Maybe the guards are separated by a wall or something.
Mar
26
comment How can I formulate the two guards puzzle to disallow references to the other guard?
So do I, which is why I asked this question.
Mar
24
comment Maximum board position in 2048 game
That's a good upper bound, but can you prove that that's attainable? (Also, it actually has to be 262140, because you can have 4 8 16 32 48 64 128 ... up to 131072 on the board.)
Mar
22
comment How can I formulate the two guards puzzle to disallow references to the other guard?
You're right that I'd prefer one that didn't tip it off so overtly.
Mar
22
comment How can I formulate the two guards puzzle to disallow references to the other guard?
The difference is that the "odd number of times" solution is by far the more well-known one, and I want to disallow that to get people to think about it again.