Computational mathematics involves mathematical research in areas of science where computing plays a central and essential role, emphasizing algorithms, numerical methods, and symbolic methods.
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35 views
how can I find the following problem using laplace transform?
For example here is the problem: $(t^2 \cos{\omega t})u(t)$
I have to find it using laplace transform; here is what I think it is,
I have $t^2$$(\cos{\omega t})u(t)$ which I think I can solve them ...
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5answers
284 views
What is the value of $2^{3000}$
What is the value of $2^{3000}$?
How to calculate it using a programming language like C#?
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0answers
43 views
Evaluation of a slow continued fraction
Puzzle question... I know how to solve it, and will post my solution if needed; but those who wish may participate in the spirit of coming up with elegant solutions rather than trying to teach me how ...
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1answer
40 views
How are 10-20 digit multiperfect and hemiperfect numbers efficiently computed?
This numericana item on multiperfect and hemiperfect numbers contains some impressively enormous numbers. How were these actually computed ? The associated OEIS pages (A007691 & A159907) just ...
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1answer
54 views
What is the fastest computational graph theory package?
What is the fastest computational graph theory package with respect to executing algorithms and computing graph theoretic data?
I am aware of this related question, which requests graph theory ...
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1answer
44 views
How do I determine if two of my software's representation of algebraic numbers are equal?
I have software which stores information about algebraic numbers with absolute precision. If you build it up by creating instances of a Python representation of an integer, float, Decimal, or string, ...
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2answers
34 views
Does rationalizing the denominator lead to more or less round-off error?
I evaluated $\frac{1}{\sqrt{2}}$ and $\frac{\sqrt{2}}{2}$ in Matlab, and got a slight difference: $0.707106781186547$ and $0.707106781186548$, respectively. Which is more accurate, the one with the ...
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1answer
35 views
Matrix completion: supplementary questions
Continuation of the question here, what is going to happen if we change the some of the conditions. I write it as a quote from here and change the appropriate places which are underlined:
I need ...
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3answers
71 views
Drawing graphs (vertices and edges) with or without technology
Given a collection of vertices $V$ and a collection of edges $E \subseteq V\times V$, is there an algorithm or program that will allow you to draw a nice graph? The placing of the vertices is very ...
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1answer
66 views
Best graphing program for Mac or PC?
I just bought the highest end iMac, with a student discount, of course, and was wondering what is the best graphing program out there. A program that can graph any equation that I throw at it AND one ...
3
votes
2answers
70 views
How to get the minimum angle between two crossing lines?
I'm not a student, I'm just a programmer trying to solve a problem ... I just need the practical way to calculate the smallest angle between two lines that intersect. The value, of course, must always ...
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1answer
85 views
Matrix completion
I need to find an algorithm (if exists) of the following matrix completion problem.
I need to construct $n^2$ positive semi-definite matrices, say $\{P_i\}_{i=1}^n$. Entries of these matrices are ...
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1answer
60 views
Minimizing mean squared error
I want to find a $d$ that minimizes the value of the expression below. I think the first step is to find the derivative w.r.t. $d$ (is that correct? If not, what is the first step?). If so, I'm having ...
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3answers
108 views
Mathematical Limitations of Computer Experiments
One problem that has always bothered me is the limitations of computers in studying math. With a chaotic dynamical system, for example, we know mathematically that they possess trajectories that never ...
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0answers
49 views
Drawing finite state machines based on regular expressions
I have problems drawing the following finite state machines which use the {0,1} alphabet:
Are these DFAs or NFAs? How to determine the latter?
Tyvm for your time and help!
