Questions tagged [norm]

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How to obtain a normalized fourier transform?

In my code I solved a differential equation system, then I made a fourier transform of the solution in differents times, this is my code ...
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3answers
93 views

Simplification with User defined rules and assumptions

The results of DSolve are usually expressions that can be further simplified. For instance, consider the following expression for a co-ordinate of a particle in ...
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1answer
33 views

Norm and Sqrt[Total[Abs[]^2]] [closed]

Here, I want to obtain a norm ...
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3answers
76 views

How to get the squared norm of each vector from a Table? [closed]

This question is certainly very basic, but I don't get it! How can I make a table of all the squared norms from this table? ...
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1answer
39 views

How to find the norm of an imaginary exponential expresion?

I need to find the norm of the following expression $$ |1+e^{-i2\pi w}+e^{-i4\pi w}|^2$$ With w real number. For doing this I coded: ...
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1answer
50 views

Searching for elegant way manipulate complex vectors

I have some complex vectors that I would like to normalize and further manipulate. For example, one is this: ${\qquad \rm vec}=(-\frac{-a + b + \sqrt{a^2 - 2 a b + b^2 + 4 c^2 + 4 d^2}}{2 (c + i d)},1)...
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0answers
46 views

How do I code an L2 Norm for a Finite Difference Scheme?

I have to compute the L2 norm of a Finite Difference Scheme applied to a second order differential equation. I set up the code to perform the Scheme with n = 20 and n = 200, and my input is ...
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1answer
39 views

C-Norm of multiple derivatives

We're calculating Trapezoid and Simpson's rule estimates for definite integrals. For the error, we need the C-norm of the first - fourth derivatives. How do I enter this into Mathematica? As of ...
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1answer
56 views

How to find the p-norm that meets the requirements?

On page 183 of this book there is Theorem 3: In other words, if the spectral radius of a matrix B is less than 1, there must be a norm $ ||B||_{p}$, so that $||B||...
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1answer
61 views

ContourPlot does not show correct ratio of two functions

I am using ContourPlot to compare the norm of the two vector fields, $||\boldsymbol{f}||/||\boldsymbol{g}||$, which should be contour on $(x,y)$ plane. Consider ...
5
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1answer
70 views

Why do these commands give different answers?

I'm using v12 ...