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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 suggested 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
Jun
25
comment Where does this unit vector come from?
There is a sphere here :-) The reason is that unit vectors are vectors of length 1, i.e. if you place the vector's tail at the origin its head lies on the unit sphere. So, in disguise, your question is "where does the vector $F_1$ meet a unit sphere?"
Jun
25
comment Is this mathematically correct?
Well $v_1/v_2=13/15$ but $r_1/r_2=1$ for row 1. But suppose there are errors up to 10% in your voltage measurements, so, eg. $v_1$ is actually 2.8 and $v_2$ is actually 2.8, etc., then the relationship might hold exactly.
Jun
25
comment Is this mathematically correct?
The relationship doesn't hold exactly. But if your voltage measurements are only accurate to 0.5V, say, then it is possible that the relationship holds. That's why experimenters give error bars when they publish results. Do you have some estimates of your uncertainty?
Jun
25
revised Convergence of two power series
Type in title
Jun
25
suggested suggested edit on Convergence of two power series
Jun
25
answered Complex analysis is more “real” than real analysis
Jun
24
comment What should I learn first, Mathematica or MatLab?
Want to define a function? Stick an underscore after the argument names. Want to apply a function to some arguments? Use square brackets. Want to get the $i$th element of an array, use double square brackets. While one might quibble about what is or isn't natural, saying my claim that Mathematica notation "can look very unnatural" is outrageous is, well, interesting.
Jun
24
comment How to establish this inequality without using induction?
Seeing as you defined the $a_n$ by induction it's going to be completely impossible to prove any non-trivial property of them without using induction in some form or other. Maybe you're trying to rule out one particular induction proof.