Fix "cooley_turkey" to "cooley_tukey". (algorithm-archivists#247)

Author: june128

SUMMARY.md

@@ -37,7 +37,7 @@
         * [Jarvis March](chapters/algorithms/jarvis_march/jarvis_march.md)
         * [Graham Scan](chapters/algorithms/graham_scan/graham_scan.md)
         * [Chan's Algorithm](chapters/algorithms/chans_algorithm/chans_algorithm.md)
-* [FFT](chapters/algorithms/cooley_turkey/cooley_tukey.md)
+* [FFT](chapters/algorithms/cooley_tukey/cooley_tukey.md)
 * [Decision Problems](chapters/general/decision_problems/decision_problems.md)
     * [Stable Marriage Problem](chapters/algorithms/stable_marriage_problem/stable_marriage_problem.md)
 * [Differential Equation Solvers](chapters/general/differential_equations/differential_equations.md)

chapters/algorithms/convolutions/convolutions.md

@@ -61,7 +61,7 @@ Now, let me tell you about a bit of black computational magic:
 
 That is crazy!
 It's also incredibly hard to explain, so let me do my best.
-As described in the chapter on [Fourier Transforms](../cooley_turkey/cooley_tukey.md), Fourier Transforms allow programmers to move from real space to frequency space.
+As described in the chapter on [Fourier Transforms](../cooley_tukey/cooley_tukey.md), Fourier Transforms allow programmers to move from real space to frequency space.
 When we transform a wave into frequency space, we see a single peak in frequency space related to the frequency of that wave.
 No matter what function we send into a Fourier Transform, the frequency-space image can be interpreted as a series of different waves with a specified frequency.
 

chapters/algorithms/cooley_turkey/code/c++/fft.cpp renamed to chapters/algorithms/cooley_tukey/code/c++/fft.cpp

@@ -15,7 +15,7 @@ $$
 
 This is the system I studied for most of my PhD (granted, we played a few tricks with parallelization and such, so it was _slightly_ more complicated).
 
-At it's heart, the split-op method is nothing more than a pseudo-spectral differential equation solver... That is to say, it solves the Schrodinger equation with [FFT's](../cooley_turkey/cooley_tukey.md).
+At it's heart, the split-op method is nothing more than a pseudo-spectral differential equation solver... That is to say, it solves the Schrodinger equation with [FFT's](../cooley_tukey/cooley_tukey.md).
 In fact, there is a large class of spectral and pseudo-spectral methods used to solve a number of different physical systems, and we'll definitely be covering those in the future.
 As mentioned in the [quantum systems](../../general/quantum_systems/quantum_systems.md) section, we can represent a a quantum wavefunction in momentum space, which is parameterized with the wavevector $$k$$.
 In the hamiltonian shown above, we can split our system into real-space components, $$\hat{H}_R = \left[V(\mathbf{r}) + g|\Psi(\mathbf{r},t)|^2 \right] \Psi(\mathbf{r},t)$$, and momentum space components, $$\hat{H}_M = \left[-\frac{\hbar^2}{2m}\nabla^2 \right]\Psi(\mathbf{r},t)$$.
@@ -38,7 +38,7 @@ $$
 \Psi(\mathbf{r},t+dt) = \left[e^{-\frac{i\hat{H}_Rdt}{2\hbar}}e^{-\frac{i\hat{H}_Mdt}{\hbar}}e^{-\frac{i\hat{H}_Rdt}{2\hbar}} \right]\Psi(\mathbf{r},t) + \mathcal{O}(dt^3)
 $$
 
-We can then address each part of this solution in chunks, first in real space, then in momentum space, then in real space again by using [Fourier Transforms](../cooley_turkey/cooley_tukey.md).
+We can then address each part of this solution in chunks, first in real space, then in momentum space, then in real space again by using [Fourier Transforms](../cooley_tukey/cooley_tukey.md).
 Which looks something like this:
 
 $$

chapters/algorithms/cooley_turkey/code/c/fft.c renamed to chapters/algorithms/cooley_tukey/code/c/fft.c

@@ -65,7 +65,7 @@ p = \frac{h}{\lambda}
 $$
 
 where $$h$$ is Planck's constant and $$\lambda$$ is the wavelength.
-This means that we can ultimately move between real and momentum space by using [Fourier Transforms](../../algorithms/cooley_turkey/cooley_tukey.md), which is incredibly useful in a number of cases!
+This means that we can ultimately move between real and momentum space by using [Fourier Transforms](../../algorithms/cooley_tukey/cooley_tukey.md), which is incredibly useful in a number of cases!
 
 Unfortunately, the interpretation of quantum simulation is rather tricky and is ultimately easier to understand with slightly different notation.
 This notation is called _braket_ notation, where a _ket_ looks like this:

chapters/algorithms/cooley_turkey/code/haskell/fft.hs renamed to chapters/algorithms/cooley_tukey/code/haskell/fft.hs

@@ -82,7 +82,7 @@
     },
     {
       "from": "chapters/FFT/cooley_tukey.html",
-      "to": "chapters/algorithms/cooley_turkey/cooley_tukey.html"
+      "to": "chapters/algorithms/cooley_tukey/cooley_tukey.html"
     },
     {
       "from": "chapters/decision_problems/decision_problems.html",