meta user
network profile
| bio | website | |
|---|---|---|
| location | ||
| age | ||
| visits | member for | 1 year |
| seen | 3 hours ago | |
| stats | profile views | 29 |
|
Mar 15 |
comment |
Why is stopping time defined as a random variable? I think I see. So the betting strategy (what I would have modeled with a two-valued function) is represented as the precise sense in which $X_1...X_n$ determine $\tau$, and the stopping time itself represents the value that, for a particular game, that strategy results in a stop? |
|
Mar 15 |
asked | Why is stopping time defined as a random variable? |
|
Mar 14 |
comment |
On prime numbers Question: if there are only 48, why are they worth studying? The prime numbers are distributed all over the place, might it not be that, really, pretty much any formula could be shown to be verified by a few dozen reasonably small primes? |
|
Mar 13 |
awarded | Nice Question |
|
Mar 12 |
comment |
What was the first bit of mathematics that made you realize that math is beautiful? (For children's book) Hint: color in multiples of $n$. Hint 2: consider the difference in the patterns when n is prime versus composite. |
|
Mar 12 |
comment |
Are matrices best understood as linear maps? @EuYu I do now. |
|
Mar 12 |
comment |
Are matrices best understood as linear maps? Okay, I'm confused about how the linear map represented by a matrix depends on a choice of basis, so at least now I know what I need to study next. |
|
Mar 12 |
comment |
Are matrices best understood as linear maps? For Gauss's method, isn't this just a notational issue? I mean, what would presenting Gauss's method "for linear maps" even look like? The fact that we use matrix notation for that purpose doesn't mean that the matrix in question can't, conceptually, represent a linear map. |
|
Mar 12 |
comment |
Are matrices best understood as linear maps? Wikipedia provides some examples en.wikipedia.org/wiki/Adjacency_matrix#Properties , and I'm stretching my mind trying to interpret nodes as vectors and so on, but nothing concrete yet. Certainly food for thought (though I should probably finish my linalg textbook before I get too caught up with it). |
|
Mar 12 |
comment |
Are matrices best understood as linear maps? I see. Well it's certainly very interesting that adjacency matrices can be meaningfully operated on with matrix multiplication. But perhaps there is a way to imagine them as linear maps over some sort of space somehow representing the graph? Maybe there's a higher, more abstract view point to account for both linear maps and adjacency matrices? |
|
Mar 12 |
comment |
Are matrices best understood as linear maps? But in the context of a particular problem, it often implicitly represents a linear map. |
|
Mar 12 |
asked | Are matrices best understood as linear maps? |
|
Mar 12 |
comment |
The theory of simultaneous linear equations You should also state what you've already tried and where you're encountering problems. After all, if you haven't even tried doing it yourself, why should we help you? If nothing else, it reassures people that you did indeed try it yourself. |
|
Mar 12 |
comment |
Congruent Modulo $n$: definition In other words, you're thinking of modulo as an operation, like $+$. Your book is thinking of it like a relation, like $=$. |
|
Mar 10 |
comment |
Problem with drawing ellipse with code. As already stated, this doesn't work because that simply is not the formula for an ellipse. This page is a javascript implementation of an ellipse, with the gist of the code printed beneath it. fiddle.jshell.net/gLnJn/show |
|
Mar 10 |
answered | What does the notation $2\mathbb{Z}$ mean? |
|
Mar 9 |
comment |
What was the first bit of mathematics that made you realize that math is beautiful? (For children's book) Adding to a possible chapter on the 9 times table, there's also the fact that the digital sum of a multiple of 9 is always a smaller multiple of 9. A corollary is that if you repeatedly take the digital sum of a multiple of 9, you will always eventually reach 9. In my experience, laymen really appreciate this theorem. |
|
Mar 8 |
comment |
What was the first bit of mathematics that made you realize that math is beautiful? (For children's book) This is indeed a very pretty result, but lost on children. The reason it's lost is because they've been told this rule in school already, it's been "spoiled". I was taught this in middle school, and my attitude was "what's this? just another rule for doing calculations? okay.". It was only years later I understood how pretty it is. |
|
Mar 8 |
comment |
Can we prove that an extension to a structure is consistent if the original structure is? I don't think I understand what "existence" means here. Can't I just say "consider a structure that satisfies PA", without ever mentioning any broader set theory or deeper axioms, and therefore basically just postulate that it exists? |
|
Mar 8 |
comment |
Can we prove that an extension to a structure is consistent if the original structure is? Well my point is, if we use PA as our axioms for $N$, and then add more axioms for the existence of additive inverses, can we show that these axioms are consistent if PA is? |
