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>> No. 4447 Anonymous
4th September 2018
Tuesday 12:48 pm
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Is this right?
Expand all images.
>> No. 4448 Anonymous
4th September 2018
Tuesday 1:03 pm
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Screenshot_2018-09-04 Wolfram Alpha Making the wor.png
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Steve Wolfram agrees.
>> No. 4449 Anonymous
4th September 2018
Tuesday 2:16 pm
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>>4447

I love calculus
>> No. 4450 Anonymous
4th September 2018
Tuesday 2:28 pm
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>>4447
If the terms "total derivative" and "partial derivative" mean nothing to you, then tl;dr yes.

If you're looking for a total derivative, and a is a constant, then the partial derivative in >>4448 is also total. If a is invariant in x but not constant, then it'll only be partial and needs the del (∂) rather than the d.

By way of intuition, this is how I'd imagine it, though it's been years since I did calculus in anger so it could be horribly wrong.
>> No. 4451 Anonymous
4th September 2018
Tuesday 6:06 pm
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>>4450

Yeah, a is constant so it's a function in x only.
>> No. 4452 Anonymous
4th September 2018
Tuesday 6:35 pm
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People only speak maths because they lack the memory to store a language with a proper vocabulary.
>> No. 4453 Anonymous
4th September 2018
Tuesday 6:38 pm
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>>4452

I once read that spoken language is a way of specifying things from one another by type, maths is the language of specifying their relative scale.

It's a nice way of thinking about it.
>> No. 4454 Anonymous
4th September 2018
Tuesday 8:42 pm
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>>4452
Mathematics is the language through which we come to understand the universe. Everything else is just an approximation.
>> No. 4455 Anonymous
4th September 2018
Tuesday 8:55 pm
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>>4454
Mathematics is just Physics that is lazily unconstrained by empirical precepts of reality.
>> No. 4456 Anonymous
4th September 2018
Tuesday 9:07 pm
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>>4455
So's your mum.
>> No. 4457 Anonymous
4th September 2018
Tuesday 10:18 pm
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>>4455

Physics is just a narrow branch of applied mathematics.
>> No. 4458 Anonymous
5th September 2018
Wednesday 5:51 pm
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P(A) + P(B) = P(A and B) + P(A or B)

Is this right?
>> No. 4459 Anonymous
5th September 2018
Wednesday 7:20 pm
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>> No. 4460 Anonymous
5th September 2018
Wednesday 8:55 pm
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>>4458
P(A) + P(B) = P(A|B) - P(A∩B)

I fucking hope I've still got that right.
>> No. 4461 Anonymous
11th September 2018
Tuesday 9:23 pm
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Suppose you have a cube of width x. Increase one dimension by dx and the volume will increase by (x^2)dx. Doing this on on all three dimensions will increase the volume by 3(x^2)dx. Integrate and we get x^3 as the formula for volume. Is this right?

More examples.

The surface area of a sphere is 4pi(r^2). An increase in radius by dr will increase the volume by 4pi(r^2)dr. Integrate and we get (4/3)pi(r^3) as the formula for volume.

The circumference of a circle is (2pi)r. Integrate and we get area = pi(r^2).

Am I doing it right?

t. 37yo learning maths
>> No. 4462 Anonymous
12th September 2018
Wednesday 2:23 pm
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>>4461

The volume of the cross-section of an n-dimensional cone is kw^(n-1), where w is the width and k some constant. Integrate this over the length of the cone to give V = kAl/n where A is the volume of the base and l the length.

The case k=1, A=h, n=2 gives hl/2 as the area of a triangle.

Right?
>> No. 4628 Anonymous
4th January 2020
Saturday 10:32 pm
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