/prog/ - Explain me 3D Integral

Name: Anonymous 2013-09-28 15:50

As I understand it, the space is just being dubdivied into "infinitesimal" cubes, each having an assigned vector, which is being multiplied by the volume of it's corresponding cube, then the result of all these multiplication is being summed to produce the integral's value.

Name: Anonymous 2013-09-28 15:53

And the space is infinite, so the integral iterates of infinite number of infinite small cubes. It all makes perfect sense!

Name: Anonymous 2013-09-28 16:25

Just extend the concept of 2D integral to the 3D space. Riemann sums are pretty intuitive.

Name: Anonymous 2013-09-28 17:06

>>1
They aren't necessarily cubes, for example if you're doing the integral in spherical coordinates.

Name: Anonymous 2013-09-28 18:15

>>1
Recall, that volume is height, width, and length. Thus a 3D integral follows the same logic:
f(y,x) × g(y,z) × h(z,x) =
f ∘ g (∫dx*dz/dy) × h(z∑ͥⁿx)

Name: Anonymous 2013-09-29 1:59

>>4
Topologically, they are still cubes, just distorted.

Name: Anonymous 2013-09-29 2:01

>>6
see maya sphere: http://www.everything4maya.com/gfx/tutorials/pig/Screen0003.JPG it is made of convex quadrilaterals!

Name: Anonymous 2013-09-29 2:07

abstract jewish mathematical bullshite

Name: Anonymous 2013-09-29 2:18

>>8
You have to agree, that when epsilon approaches 0, the area of a cube approaches the area of the steradian cone. So when it is infinitely small, sphere equals to the cube!

Name: Anonymous 2013-09-29 13:45

>>9
infinity doesn't exist, kike

Name: Anonymous 2013-09-29 20:28

>>10
atheist retard detected

Name: Anonymous 2013-09-29 20:44

>>11
theist redneck cunt detected

Name: Anonymous 2013-09-29 20:54

>>12
anti-semitic and denies the existence of infinity? How low can you go!

Name: sage 2013-09-30 7:46

>>13
Shalom, kike!

Explain me 3D Integral

1 Name: Anonymous 2013-09-28 15:50

2 Name: Anonymous 2013-09-28 15:53

3 Name: Anonymous 2013-09-28 16:25

4 Name: Anonymous 2013-09-28 17:06

5 Name: Anonymous 2013-09-28 18:15

6 Name: Anonymous 2013-09-29 1:59

7 Name: Anonymous 2013-09-29 2:01

8 Name: Anonymous 2013-09-29 2:07

9 Name: Anonymous 2013-09-29 2:18

10 Name: Anonymous 2013-09-29 13:45

11 Name: Anonymous 2013-09-29 20:28

12 Name: Anonymous 2013-09-29 20:44

13 Name: Anonymous 2013-09-29 20:54

14 Name: sage 2013-09-30 7:46