Expand General Applied Math, v2 (#94)

applications/data_analysis/general_applied_math.ipynb

@@ -20,7 +20,8 @@
     "- Algebraic Functions\n",
     "- Degrees and Radians\n",
     "- Rounding\n",
-    "- Exponents and Logarithms"
+    "- Exponents and Logarithms\n",
+    "- Sorting"
    ]
   },
   {
@@ -549,9 +550,22 @@
   },
   {
    "cell_type": "code",
-   "execution_count": null,
-   "metadata": {},
-   "outputs": [],
+   "execution_count": 1,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Single Value input\n",
+      "\t(math)  e^3.2 = 24.532530197109352\n",
+      "\t(numpy) e^3.2 = 24.532530197109352\n",
+      "\n",
+      "Multiple Value Input (array/list)\n",
+      "\t(numpy) e^[1.2, 2.2, 3.2] = [ 3.32011692  9.0250135  24.5325302 ]\n"
+     ]
+    }
+   ],
    "source": [
     "import math\n",
     "import numpy as np\n",
@@ -615,6 +629,88 @@
     "print(f\"\\t\\tlog (np.log)     = {np.log(input_list)}\")"
    ]
   },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "## Sorting\n",
+    "\n",
+    "Python includes functions to organize and sort lists of numbers or strings\n",
+    "\n",
+    "Functions to sort lists and arrays are part of the standard Python library as well as `numpy`"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "### Sorting in Python and Numpy\n",
+    "Python has two similar sorting functions: [`list.sort()` and `sorted()`](https://docs.python.org/3/howto/sorting.html)\n",
+    "\n",
+    "`list.sort()` reorganizes a numerical or string list in-place, but returns `None`, while `sorted()` creates a new copy of the list with the sorted elements.\n",
+    "\n",
+    "```\n",
+    "lst = [2, 1, 3]\n",
+    "lst.sort()\n",
+    "print(lst)\n",
+    ">> [1, 2, 3]\n",
+    "print(lst.sort())\n",
+    ">> None\n",
+    "\n",
+    "lst = [2, 1, 3]\n",
+    "new_sorted_list = sorted(lst)\n",
+    "print(lst)\n",
+    ">> [2, 1, 3]\n",
+    "print(new_sorted_list)\n",
+    ">> [1, 2, 3]\n",
+    "```\n",
+    "\n",
+    "The `numpy.sort()` function works like the `sorted` function, which creates and returns a sorted array of the original list\n",
+    "\n",
+    "```\n",
+    "import numpy as np\n",
+    "lst = [2, 1, 3]\n",
+    "new_sorted_list = np.sort(lst)\n",
+    "print(lst)\n",
+    ">> [2, 1, 3]\n",
+    "print(new_sorted_list)\n",
+    ">> [1 2 3]\n",
+    "```"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 2,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "List of Strings\n",
+      "\t(standard library) = ['cheese', 'egg', 'mango', 'milkshake', 'taco', 'tea']\n",
+      "\t(numpy)            = ['cheese' 'egg' 'mango' 'milkshake' 'taco' 'tea']\n",
+      "\n",
+      "List of Numbers\n",
+      "\t(standard library) = [-1.2, 0.2, 3.14, 10, 49, 100]\n",
+      "\t(numpy)            = [ -1.2    0.2    3.14  10.    49.   100.  ]\n"
+     ]
+    }
+   ],
+   "source": [
+    "import numpy as np\n",
+    "\n",
+    "input_values = [\"mango\", \"egg\", \"taco\", \"tea\", \"milkshake\", \"cheese\"]\n",
+    "print(\"List of Strings\")\n",
+    "print(f\"\\t(standard library) = {sorted(input_values)}\")\n",
+    "print(f\"\\t(numpy)            = {np.sort(input_values)}\")\n",
+    "\n",
+    "print(\"\\nList of Numbers\")\n",
+    "input_values = [3.14, -1.2, 0.2, 10, 100, 49]\n",
+    "print(f\"\\t(standard library) = {sorted(input_values)}\")\n",
+    "print(f\"\\t(numpy)            = {np.sort(input_values)}\")"
+   ]
+  },
   {
    "cell_type": "markdown",
    "metadata": {},
@@ -626,7 +722,8 @@
     "- [Built-in Python Functions](https://docs.python.org/3/library/functions.html)\n",
     "- [Standard Built-In Python `math` module](https://docs.python.org/3/library/math.html)\n",
     "- [Python `cmath` when working with complex mathematics](https://docs.python.org/3/library/cmath.html)\n",
-    "- Additional [mathematical `numpy` functions](https://numpy.org/doc/stable/reference/routines.math.html)"
+    "- [Additional mathematical `numpy` functions](https://numpy.org/doc/stable/reference/routines.math.html)\n",
+    "- [Python Sorting Techniques](https://docs.python.org/3/howto/sorting.html)"
    ]
   }
  ],