Showing posts with label divide by zero. Show all posts
Showing posts with label divide by zero. Show all posts

Tuesday, March 31, 2009

Weird things bother me...

Does it bother anybody else that differentiation is a lossy operation?

2x^3 + 5X + 3

Differentiated is,

6x^2 + 5

Then integrated (with respect to x),

2X^3 + 5x + C

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It lost the 3 and now has a more general constant. I know, there's no reason taking the change in a line need have all the original precision of the line, but somehow math is suppose to be idealized and perfect and with lossy operations it seems a little odd. I mean I can understand when it at least has the good sense to throw an exception.

Y * 0 = 0
0 / 0 ... DIVIDE BY ZERO EXCEPTION.

Sure, we can't get Y back out of the equation, but only because the math throws a fit.