Recent content by sgfw

okay, thanks.

So it doesn't matter that I am adding undefined to undefined at x = 0?

Okay, so if I change my question to "does 1/x + 0/x = 1/x", would the answer be any different?

I don't understand-Am I thinking of the dirac delta function in the wrong way? could you explain?

From what I can tell, it seems that 1/x + δ(x) = 1/x because if we think of both 1/x and the dirac delta function as the following peicewise functions: 1/x = 1/x for x < 0 1/x = undefined for x = 0 1/x = 1/x for x > 0 δ(x) = 0 for x < 0 δ(x) = undefined for x = 0 δ(x) = 0 for x > 0...

(2*t)^2*(3*t)^2 is not the same thing as (6*t)^4 because if I expand them out, it comes out to be 36*t*t*t*t instead of (2*t)^2*(3*t)^2, and (6*t)^4 is 1296*t*t*t*t, which obviously do not equal each other unless t = 0. I think you may be grouping them wrong, because if you simply move the...

I can't really think of any books, but I think Khan Academy could help whith a lot of your problems. It's free, and there are a lot of videos that can help make ideas more intuitive. I recommend you try it out.

y = 2.5*(fresnelC(t*2) - arcsinh(t/2)) x = 2.5*(fresnelS(t) + arcsinh(t/2)) In case you don't have anything that can graph this, this is what it looks like from t = -2*pi to 2*pi, from y = -7 to 7, and from x= -7 to 7: There are a lot of interesting ones that can be made with the fresnel...

I may be overcomplicating your idea, but I opened MS word (sorry in advance for the quality) and drew what I understand to be the functions of t that define both x and y on a graph. I don't know how I would write an equation for those. Were you thinking of something more simple that I'm not...

@mentallic Well, the reason I am making these letters is so I can plot words by adding the different letter functions together, which works because any x value not occupied by another letter is equal to zero, so adding a letter to that function shifted to the right will work well. The reason I...

I'm trying to keep it to a single y = f(x) function, and the way I have been separating the different section of the functions so far is this: Say I want a function that looks like this when graphed: (can be seen at http://i.imgur.com/kjjZ6ux.gif if the you can not see the image)...

B on it's back would have three vertical lines.

I need the function to be defined over the rest of the set of real numbers. x = c would create a vertical line, but the domain would be limited to c. In addition, I'm trying to limit the vertical line to an arbitrary range.

I thought about doing that, but I would rather avoid it because it would complicate the rest of the letter. As I have it, all I need to do is add "± (1/2±1/2)", then multiply that by something similar to the floor(e^-abs(x)) to make it zero out over the rest of it's domain for the three...

I'm trying to create a function that graphs a capital "B" So it's not really a function, it has multiple y values for some x values, but I'm achieving that by using "±" signs when appropriate. My problem, however is the vertical line. I thought for a long time how to come up with a equation...