Recent content by Kerbox

yea, tried that. but I end up with an expression where x can't be canceled. unless I am missing something here.

Hey guys, I could really use some hints on how to solve the integral \int \frac{x}{1+\sqrt{x}} dx I tried some substitutions, and doing some manipulations on the expression, with no solution. Any help would be much appreciated. Regards, Kerbox

You are given the initial velocity from the previous question, and the distance of acceleration by the thickness of his foodpads. I suppose they want you to calculate the constant acceleration needed for this, and then relate that to the force using Newtons second law. - Kerbox

I'm looking for some options for good circuit simulation and design software (for electrical systems and electronics). We use OrCad (PSpice) at school, but I find it very messy. Is there a program that is both easy (and logical) to use, yet powerful and flexible? Any suggestions and...

Dealing with alternating (sinousoidal) currents in electrical systems for one And the practical aspect I brought up since in the original post, there was talk about fitting universes and suns into finite hypercubes and such...

Try stocking up infinity many planes first then, and then we can start talking about practical applications :smile:

But what physical sense would it have to sum up all the areas of the squares? What you are doing is simply extending the 2d space to a third dimension by adding an axis perpendicular to the two others.

I believe he tried to illustrate that a line twice as long can be projected down on the first line as if two sides of a triangle, and you can match up each point on one line to each one on the other... therefore, they must have equal number of points?

Mmm... yea. So what you are saying is that a hypercube encloses infinite amount of 3d space, and a normal 3d cube encloses infinite 2d area, is that right? Then I wonder, what possible use is it to consider the area of each of the infinite planes that makes up the 3d box?

If you bound the volume in all four dimensions, then the volume will be finite. I can't see how summing the area of the infinite number of cubes would make any sense.

I don't really think that is what he ment. I think he is confusing infinite steps with infinite size.

wouldnt the fourth dimension be... time? :P

since infinity is a proper subset of infinity+infinity, they can be put in one-to-one correspondence to each other, and are then the same "degree" of infinity, am I right?

yes it does... that is what magnitude means

I was looking for an algorithm or something that would work, when the example wasnt as simple as this one. When a lot of simplifying had been done to the expressions for example. And of course, the domains are reversed. Sorry about that.