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bobobobo
  • Member for 13 years, 6 months
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132 votes
5 answers
53k views

Getting better at proofs

69 votes
8 answers
15k views

Dominoes and induction, or how does induction work?

41 votes
6 answers
27k views

Why is the 2nd derivative written as $\frac{\mathrm d^2y}{\mathrm dx^2}$?

31 votes
6 answers
4k views

Why do we need to prove $e^{u+v} = e^ue^v$?

29 votes
1 answer
6k views

Why is it called a 'ring', why is it called a 'field'?

27 votes
2 answers
28k views

What is a "vanishing moment"?

26 votes
4 answers
10k views

If $\frac{dy}{dt}dt$ doesn't cancel, then what do you call it?

25 votes
2 answers
22k views

Spherical harmonics for dummies

23 votes
4 answers
24k views

Bilinearity: what does it mean?

21 votes
1 answer
5k views

$\arcsin$ written as $\sin^{-1}(x)$

20 votes
2 answers
12k views

What are all these "visualizations" of the 3-sphere?

20 votes
4 answers
17k views

Finding integrating factor (IF) when integrating factor IF will be a function of both $x$ and $y$

18 votes
6 answers
17k views

Infinitely differentiable

16 votes
4 answers
17k views

Solving very large matrices in "pieces"

16 votes
2 answers
1k views

Why isn't $ SA_{\text{cube}} = 3x^2 $?

16 votes
4 answers
11k views

How to think of a function as a vector?

13 votes
5 answers
17k views

Why does the differential solid angle have a $\sin\theta$ term in integration in spherical coordinates?

13 votes
2 answers
4k views

Intuition behind arc length formula

12 votes
4 answers
10k views

How are the "real" spherical harmonics derived?

11 votes
2 answers
8k views

What is the meaning of evaluating the divergence at a _point_?

11 votes
1 answer
4k views

How do we know the complex exponentials "span" the set of all real functions?

10 votes
1 answer
2k views

Can you approximate a vector field?

10 votes
5 answers
897 views

Is $\lim\limits_{n \to \infty}\frac{1}{n}\left( \cos{\frac{\pi}{n}} + \cos{\frac{2\pi}{n}} + \ldots + \cos{\frac{n\pi}{n}} \right)$ a Riemann sum?

9 votes
3 answers
626 views

The leap to infinite dimensions

8 votes
1 answer
929 views

Integral $ \int_0^{2\pi}{ \sqrt{ 1 - \sin{ \theta } \sin{ 2\theta } + \cos{\theta}\cos{2\theta} } d\theta } $

7 votes
1 answer
9k views

Rotational invariance

7 votes
3 answers
4k views

Why do we use n-dimensional spaces?

7 votes
2 answers
332 views

Improper integrals question: why does this work?

7 votes
2 answers
42k views

Is there a name for sec(x)'s relationship with tan(x)?

7 votes
2 answers
629 views

Trig integral $\int ( \cos{x} + \sin{x}\cos{x}) \, dx $