Criado usando o Colab

examples/speed_tests_numba_and_cython.ipynb

@@ -179,10 +179,10 @@
         "## Performance Comparison: Mr Mustard vs. Fast Wave for Single Fock & Multiple Position Wavefunctions\n",
         "---\n",
         "$$$$\n",
-        "**Explanation:** This analysis evaluates the computational efficiency of three approaches—Mr Mustard, Fast Wave (Numba), and Fast Wave (Cython)—for calculating the squared amplitude $|\\psi_n(X_{m})|^2$ of a Single Fock & Multiple Position Wavefunction $\\psi_n(X_{m})$. The Single Fock & Multiple Position wavefunction, $\\psi_{i}(X)$, maps an array of position inputs $X_{m}$ to an array of corresponding outputs:\n",
+        "**Explanation:** This analysis evaluates the computational efficiency of three approaches—Mr Mustard, Fast Wave (Numba), and Fast Wave (Cython) — for calculating the squared amplitude $|\\psi_n(X_{m})|^2$ of a Single Fock & Multiple Position Wavefunction $\\psi_n(X_{m})$. The Single Fock & Multiple Position wavefunction, $\\psi_{i}(X_{m})$, maps an array of position inputs $X_{m}$ to an array of corresponding outputs, this implies that:\n",
         "\n",
         "$$$$\n",
-        "$$[\\psi_{i}(x_{1}), \\psi_{i}(x_{2}), ..., \\psi_{i}(x_{m})]_{\\, m}$$\n",
+        "$$\\psi_{i}(X_{m}) = [\\psi_{i}(x_{1}), \\psi_{i}(x_{2}), ..., \\psi_{i}(x_{m})]_{\\, m}$$\n",
         "$$$$\n",
         "\n",
         "Execution times for each method are plotted to facilitate comparison.\n",
@@ -267,14 +267,14 @@
         "## Performance Comparison: Mr Mustard vs. Fast Wave for Multiple Fock & Multiple Position Wavefunctions\n",
         "---\n",
         "$$$$\n",
-        "**Explanation:** This analysis evaluates the computational efficiency of three approaches—Mr Mustard, Fast Wave (Numba), and Fast Wave (Cython)—for calculating of a Multiple Fock & Multiple Position Wavefunction $\\psi_{\\,0\\rightarrow n}\\big(X_{m}\\big)$. The Single Fock & Multiple Position wavefunction, $\\psi_{\\,0\\rightarrow i}\\big(X_{m}\\big)$, maps an array of position inputs $X_{m}$ to an matrix of corresponding outputs:\n",
+        "**Explanation:** This analysis evaluates the computational efficiency of three approaches—Mr Mustard, Fast Wave (Numba), and Fast Wave (Cython) — for calculating of a Multiple Fock & Multiple Position Wavefunction $\\psi_{\\,0\\rightarrow n}\\big(X_{m}\\big)$. The Single Fock & Multiple Position wavefunction, $\\psi_{\\,0\\rightarrow i}\\big(X_{m}\\big)$, maps an array of position inputs $X_{m}$ to an matrix of corresponding outputs, this implies that:\n",
         "\n",
         "$$$$\n",
-        "$$ \\begin{bmatrix}\n",
+        "$$ \\psi_{\\,0\\rightarrow i}\\big(X_{m}\\big) = \\begin{bmatrix}\n",
         "  \\psi_{0}(x_{1}) & \\cdots & \\psi_{0}(x_{m})  \\\\\n",
         "  \\vdots & \\ddots & \\vdots \\\\\n",
-        "  \\psi_{n}(x_{1}) & \\cdots & \\psi_{n}(x_{m}) \\\\\n",
-        "  \\end{bmatrix}_{(n+1) \\, \\times \\, m}$$\n",
+        "  \\psi_{i}(x_{1}) & \\cdots & \\psi_{i}(x_{m}) \\\\\n",
+        "  \\end{bmatrix}_{(i+1) \\, \\times \\, m}$$\n",
         "$$$$\n",
         "...\n",
         "$$$$"