The discussion focuses on the matricial form of Topological Fluid Dynamics (TFD) using the Discrete Fourier Transform (DFT). The user seeks to calculate the vector X using the equation X = Fd(x) for the input vector x = (1, 0, 2j, 1-j)^T from K^4. The primary challenge identified is determining the variable "ω" from the "w" matrix, which is essential for applying the TFD direct formula involving the summation Σ f(t) [ω]^(-mn) for n = 0 to N-1.
PREREQUISITESStudents and researchers in fluid dynamics, mathematicians working with Fourier transforms, and anyone involved in computational simulations of topological phenomena.
ω^(-mn)banutraul said:Homework Statement
Using the matricial form of TFD calculated : X=Fd(x) for x=(1,0,2j,1-j)^T from K^4
Homework Equations
X=wx
The Attempt at a Solution
I know the "x" matrix and the "w" matrix but i don't know how to find the "ω" variable from the "w" matrix. "ω" is referring to variable from the TFD direct formula : Σ f(t) [ω][/-mn] ( n=0,N-1)