2,729 reputation
2336
bio website ephorie.de
location Germany
age 44
visits member for 4 years, 6 months
seen 7 hours ago

just an amateur fascinated by math


Jan
14
comment Connections between the solution of simple ordinary equation, normal distribution and heat equation
Do you see a connection between the heat equation and the above ode? Both have the normal distribution as a solution, is this a coincidence?
Jan
14
comment Connections between the solution of simple ordinary equation, normal distribution and heat equation
Thank you. Ok, I understand that but doesn't it show that the normal distribution is the simplest and in a way most natural unimodal distribution?
Jan
13
comment Connections between the solution of simple ordinary equation, normal distribution and heat equation
Thank you, this is very helpful. What do you think about this answer: math.stackexchange.com/a/1100063/346
Jan
11
comment Connections between the solution of simple ordinary equation, normal distribution and heat equation
Well, no, I think it is still helpful! Please keep it! It would be great if you could find the connection between the diffusion equation and the above ode :-)
Jan
11
comment Connections between the solution of simple ordinary equation, normal distribution and heat equation
What do you think about this answer: math.stackexchange.com/a/1100063/346 ?
Jan
11
comment Connections between the solution of simple ordinary equation, normal distribution and heat equation
What do you think about this answer: math.stackexchange.com/a/1100063/346 ?
Jan
11
comment Connections between the solution of simple ordinary equation, normal distribution and heat equation
@abel: No, not necessarily, but see answer here: math.stackexchange.com/a/1100063/346
Jan
9
comment Connections between the solution of simple ordinary equation, normal distribution and heat equation
"it seems like there should be something deeper and more 'physical' than that" - I feel the same way! Thank you
Jan
8
comment Connections between the solution of simple ordinary equation, normal distribution and heat equation
@Chinny84: I do, but I don't see the connection between this pde/ the normal distribution and the above simple ode.
Jan
7
comment Connections between the solution of simple ordinary equation, normal distribution and heat equation
@Evgeny: This sounds very promising - could you formulate an answer? Thank you :-)
Jan
5
comment Can a differential equation be linear or nonlinear at the same time?
@GitGud: My point is not that both differential equations share the same solution but that both differential equations are essentially the same!
Jan
4
comment Geometric interpretation of determinant of a system of homogenous linear equations
@Bernard: But that is what I wrote: They are linearly dependent?!?
Jul
24
comment What are some conceptualizations that work in mathematics but are not strictly true?
That is better :-)
Jul
24
comment What are some conceptualizations that work in mathematics but are not strictly true?
But you didn't say that a line has to be straight.
Jul
24
comment What are some conceptualizations that work in mathematics but are not strictly true?
Whether this is true or not depends on the axiomatic system and how you define "line".
May
22
comment What's going on in Ito calculus?
Could you tell us which books did you find and what exactly is missing there?
May
15
comment Example for finite dimensional analog of integral transforms
I tried this with Mathematica and the vector $\{1,2,3,4,5\}$. The result after multiplying with $B(z)$ and transforming back should be $\{1,1,1,1,1\}$ because these are the first differences, right? (I am not sure about the last one, but anyway). Interestingly after multiplying with $B(z)$ I get $\{1,2,3,4,5\}$ and transforming this back gives the discrete delta function times $\{1,2,3,4,5\}$: wolframalpha.com/input/… - what's wrong?!?
May
15
comment Example for finite dimensional analog of integral transforms
This is exactly what I was looking for! Thank you very much indeed! :-)
May
14
comment Example for finite dimensional analog of integral transforms
@MattL. Ok, I tried this with vectors but there are still things that don't work out :-( If you gave me an example with the z-transform on vectors where multiplication/division becomes differentiation/integration I would happily accept your answer :-) Thank you
May
14
comment Discrete Laplace Tranform.
I asked a similar question here: math.stackexchange.com/questions/793550/… - what I find strange though is that while you can also read that the Laplace transform is the continuous analog of the dot product for infinite dimensional vectors (=functions) you still calculate infinitely many terms in the discrete version (and not just over the available dimensions of your vectors as with the dot product) - perhpas you could contribute :-)