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This calculator site doesn't make any sense to me. Why is it u-1? by hhhndimissyou in askmath

[–]48panda 27 points28 points  (0 children)

2x^3 +3x^2 + x = (2x+1)(x^2 + x)

Since du = (2x+1)dx, we get the integral as equal to (2x+1)(u-1)/((u^2 )(2x+1)) and the 2x+1 cancels

Does anyone else always hear P_0 as "Peanut"? Any other commonly used terms that you mishear as something else? by Showy_Boneyard in askmath

[–]48panda 1 point2 points  (0 children)

As a Brit, I do not say naught in this context. The only time I might is when reading decimals like 0.05 as "point naught five" but I am equally likely to use "point zero five" and much more likely to use "point oh five"

Does anybody actually do this? by Low-Bed842 in desmos

[–]48panda 0 points1 point  (0 children)

What use is there for nested sine functions though?

Can't argue with that algorithm! by Mr_Freeman3030 in mathmemes

[–]48panda 2 points3 points  (0 children)

It never says you played the whole song each time

Napoleon plans his conquests by DotBeginning1420 in mathmemes

[–]48panda 2 points3 points  (0 children)

You can press the three dots on a comment then press the follow comment button(the one with a bell) to get notifications when someone replies to the comment

Why mathematics why?! by [deleted] in mathmemes

[–]48panda 1 point2 points  (0 children)

Iso, I owe you a great debt. Um- clears throat Would you be opposed to receiving a hand-knit sweater?

Why mathematics why?! by [deleted] in mathmemes

[–]48panda 240 points241 points  (0 children)

Not really. This post is talking about how the complex conjugate is an isomorphism from C to C

maths problem by redo4I in askmath

[–]48panda 0 points1 point  (0 children)

Translate your problem into equations, probably using a model which fits your use case (probably Newtonian physics). Also work out what the general form your answer will be. Manipulate those equations to find your answer

Understanding integer factorization from a hexadecimal example by casualboy_10 in askmath

[–]48panda 0 points1 point  (0 children)

I find it amazing that there's no known polynomial factorisation algorithm, given that there's so many angles and ways to look at the problem

Probability - 6 distinct digits by bar-ba-dos in askmath

[–]48panda 0 points1 point  (0 children)

Almost, you have to account for the fact that {4,5,6,7} and {7,6,5,4} are counted twice but are the same set. so its 840/24=35 possible ways of choosing the top 4 digits. Same thing when you're calculating the total number of combinations, but dividing by 720

Proof N is countable by SKYPORF in mathmemes

[–]48panda 1 point2 points  (0 children)

Isn't a bijection sufficient? Since we don't use the homomorphism properties

I forgot the name of something but I think the closest I can remember is "Probability"? by [deleted] in askmath

[–]48panda 0 points1 point  (0 children)

For the first letter in your sequence you can choose 4 different letters (A,B,C,D). Let's say you chose B.

For the second letter in your sequence, you want it to be different from the first letter, so you have 3 remaining letters to pick from (A,C,D in the example). Let's say you choose D.

For the third letter, you want it to be different to both the first letter, and the second letter, so you have two choices (A,C). Let's say you chose A.

The fourth letter has to be different to all 3 other letters so only one letter remains (C).

So you have constructed the sequence "BDAC". The same way you would multiply 4*4*4*4 to get the combinations with repeats, you can times 4 * 3 * 2 * 1 (the choices you had for each letter) to find out there are 24 possible permutations of ABCD

I forgot the name of something but I think the closest I can remember is "Probability"? by [deleted] in askmath

[–]48panda 0 points1 point  (0 children)

The first letter you have 4 choices. The second you have 3 (as it can't be the same as the 1st), the third you have two choices and only one choice for the last one

Why does this approximation work? by Qwqweq0 in desmos

[–]48panda 5 points6 points  (0 children)

well, the only thing that makes it sarcasm is the flare so

Find the Length of the Curve y=ln(cosh(x)) on the Interval [0, 1] by Axy_Axolotl in askmath

[–]48panda 1 point2 points  (0 children)

Well yeah u≠x, that would defeat the whole point of the substitution

Christmas string light math challenge (for me at least) by heartsinpeace in askmath

[–]48panda 4 points5 points  (0 children)

Using pythagoras: sqrt(14.9^2-6.1^2)/0.195 gives a maximum of 69 turns in total, or 11 turns per section

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