gen-ℤ ready to perish
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12 answers
50 votes
5k views
10 bookmarks
Different sizes of infinity
1 answers
11 votes
251 views
4 bookmarks
Supposed method of integration: “long dividing” by $d$
3 answers
9 votes
8k views
4 bookmarks
Integrating on open vs. closed intervals
2 answers
7 votes
297 views
2 bookmarks
Why are algebraic numbers important and worth defining?
3 answers
6 votes
2k views
Why is there a separate symbol for partial derivatives?
1 answers
5 votes
427 views
1 bookmarks
Curl as determinant: technically appropriate?
2 answers
4 votes
484 views
4 bookmarks
Proof of solutions to “24” operations game
3 answers
4 votes
683 views
Can eigenvectors be found without finding eigenvalues?
3 answers
4 votes
100 views
Proof that the roots of $\mathrm e^{-πx}=\sin πx$ approach integers as $x\to \infty$
1 answers
4 votes
365 views
The data set $\{x_1,\dots,x_{10}\}$ has a mean $\mu=10$ and a standard deviation $\sigma=3$. Find the value of $\sum_{i=1}^{10}[(x_i-12)^2]$.
1 answers
4 votes
301 views
Proving Lebesgue Integration Yields Same Answer As Riemann
3 answers
3 votes
2k views
What are the advantages of ending a proof with “QED”?
2 answers
3 votes
652 views
1 bookmarks
How do I know which indices to raise or lower in a rank-$2$ tensor?
5 answers
3 votes
612 views
1 bookmarks
Does the non-commutativity of quaternions follow directly from $\rm i^2=j^2=k^2=ijk=-1$?
1 answers
3 votes
167 views
Is this cheat sheet over big-$O$ and related notations accurate?
1 answers
3 votes
393 views
Is there a universal or general “matrix-builder” notation?
1 answers
3 votes
326 views
Can $\sin(xy)$ be written in terms of trigonometric functions of only $x$ or $y$?
3 answers
2 votes
167 views
Is manipulating a trivial equality a logically valid proof of a formula?
1 answers
2 votes
127 views
2 bookmarks
Why do we care about the general outer product $\mathbf u\otimes\mathbf v=\mathbf u\mathbf v^{\sf T}$?
2 answers
2 votes
376 views
2 bookmarks
Recreational probability problem: distance between two darts
1 answers
2 votes
784 views
Why is the inner product of two contravariant vectors with respect to a metric tensor written in this order?
0 answers
2 votes
319 views
On a graph, is the integral of a function with respect to a measure conceptually equivalent to an integral with respect to another function?
1 answers
2 votes
290 views
Apply Leibniz integral rule to derive the formula for power $P=\mathbf{F}\cdot\mathbf{v}$
1 answers
2 votes
183 views
What is meant by $d(x,y)$ in Fubini’s theorem?
0 answers
2 votes
66 views
2 bookmarks
Why isn’t a hypergeometric distribution actually called a *hyperbinomial* distribution?
2 answers
2 votes
268 views
Why is $(x_i-\bar{x})^2$ in the formula for variance as opposed to $|x_i-\bar{x}|$?
0 answers
2 votes
78 views
Is it possible to transform an integral into a series consisting of surreal terms?
0 answers
2 votes
154 views
2 bookmarks
Give applications of $\beth_3$ other than $\beth_3=\mathcal{P}(\mathcal{P}(\mathcal{P}(\mathbb{N})))$
2 answers
2 votes
393 views
Non-circular definition of 'interior' points and 'open' sets
1 answers
2 votes
47 views
Commonplace sets