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location New York, United States
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I am (trying to be) a graduate student of mathematics.

One cannot escape the feeling that these mathematical formulae have an independent existence and an intelligence of their own, that they are wiser than we are, wiser even than their discoverers, that we get more out of them than we originally put in to them. -Heinrich Hertz

It was too easy. Therefore I didn't study, and therefore it was too hard. -Paul Halmos


Jul
2
awarded  Curious
Apr
25
awarded  Popular Question
Mar
6
comment Euler-Lagrange Eqn to find eqn of a straight line
notation can be confusing when youre being introduced. glad to help.
Mar
6
comment Euler-Lagrange Eqn to find eqn of a straight line
l(f) is exactly[1] the length of the curve. And defeat the object of using it? the object is to have an equation which is solveable for our function of interest. integrating is part of this solving process. [1] mathwords.com/a/arc_length_of_a_curve.htm
Mar
6
comment Euler-Lagrange Eqn to find eqn of a straight line
edit looks good. now just solve for your constants in terms of your initial two arbitrary points and youre all set.
Mar
6
comment Euler-Lagrange Eqn to find eqn of a straight line
yep. exactly. our function is a function of x,y and y'. It just so happens that the explicit y dependence is missing hence the first half of EL being equal to 0.
Mar
6
answered Euler-Lagrange Eqn to find eqn of a straight line
Feb
24
answered PDE course question
Feb
23
comment On trusting the mathematical process
Because often models start out as equations, then get converted to matrix form, then upon which we execute things such as SVD. How does this process affect the original model. Yes its a math tool, but whats it doing?
Feb
23
comment On trusting the mathematical process
"What you do not need to do is to interpret each step for your model. " This is the fundamental issue. How do we know we dont need to do this?
Feb
23
comment On trusting the mathematical process
Let me clarify a bit, my issue is that the actual manipulations of the equations dont have the direct coorelation to the physical problem that the initial setup does. This issue only gets more confounded with more of the manipulations. Think of representing some system as a matrix and then performing a SVD decomposition. what did you actually just do to your problem?
Feb
23
awarded  Custodian
Feb
23
reviewed Approve suggested edit on On trusting the mathematical process
Feb
23
asked On trusting the mathematical process
Jan
21
comment Where can I make abstract algebra tangible?
Gallians book also strives to always connect the theorems to concepts. I think youre just working with a non-introductory text
Jan
20
comment Which of the following form an ideal in this ring?
It would be quite useful to see why the others dont satisfy this definition
Jan
20
answered How to find the number of transposition
Jan
20
comment How to find the number of transposition
you can omit (2), since it doesnt change anything. just like you can add (9)
Jan
20
comment How to find the number of transposition
hint: (364) = (34)(36)
Jan
14
comment Soft question - having difficulty with rigorous proofs
simply, time and effort. It will eventually become [more] natural