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Jul
14
answered Are the real numbers really uncountable?
Jul
9
comment How do I know if I have imaginary numbers when using Newton Raphson Method?
I guess you're wondering what happens if you're trying to solve an equation that contains complex values, or from a complex starting point. The answer is that it gets complicated. Seriously complicated: chiark.greenend.org.uk/~sgtatham/newton
Jul
7
comment Integral of the square of a function
The integral can easily be non-negative even if the integrand is sometimes not real. Consider a function $f$ that takes a small imaginary value for a small region and otherwise takes large real values. Overall the real parts will dominate the integral giving a non-negative result.
Jul
6
answered Is $\infty = \frac{1}{0}$?
Jul
5
comment Axiom of Choice and finite sets
"How do I choose such an x?" is often a good question if you're writing a computer program. But in mathematics, if you want to use the existence of $x$ then tautologically you need only a proof that $x$ exists.
Jul
5
awarded  Nice Answer
Jul
5
revised Understanding matrices.
added 202 characters in body
Jul
4
answered Understanding matrices.
Jul
4
comment Understanding matrices.
That code isn't right. Maybe you mean newX = cos(angle)*oldX-....
Jul
4
revised What is the geometric meaning of this integral?
added 2 characters in body
Jul
3
answered What is the geometric meaning of this integral?
Jul
1
revised Second derivative of discrete function
This isn't discrete mathematics
Jul
1
suggested approved edit on Second derivative of discrete function
Jul
1
awarded  Enthusiast
Jun
30
comment Given a histogram, programatically, how do I find the normal distributions that comprise it?
See en.wikipedia.org/wiki/…
Jun
30
comment What's wrong with having the same variable in the integrand as in the limits?
@QiaochuYuan You point to the real issue. In principle $\int_0^x(\int_0^xx^3dx)x^4dx$ is unambiguous. But mathematicians like the abuse of notation that allows them to write what you just wrote and they find it worthwhile to sacrifice $\alpha$-equivalence to get it. (See en.wikipedia.org/wiki/Lambda_calculus#Alpha_equivalence .) I suspect that modern mathematics students with some computing experience may have slightly different ideas of what's reasonable.
Jun
28
answered Fibonacci Calculation using a larger matrix
Jun
27
revised Ways to study mathematics while commuting
added 243 characters in body
Jun
27
answered Ways to study mathematics while commuting
Jun
27
comment Topologies on n-manifolds
Do you mean other topologies? Or other topologies on $n$-manifolds? If the former then you'll find you need to understand the compact-open topology if you intend to study homotopy theory. en.wikipedia.org/wiki/Compact-open_topology