{ "cells": [ { "cell_type": "code", "execution_count": 1, "id": "fa410e8b-b2f9-4fa7-9783-869b89ec8464", "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import sys\n", "import os\n", "from matplotlib import pyplot as plt\n", "import matplotlib as mpl\n", "import matplotlib.ticker as ticker" ] }, { "cell_type": "code", "execution_count": 2, "id": "5178169a-a3e4-4ab4-82ed-413596bf0a7a", "metadata": {}, "outputs": [], "source": [ "from util_functions import cutoffPercentile, wireIntegrate, toGreyScale, createXYZGrid" ] }, { "attachments": { "f967bc6c-ed2e-4baf-973c-636554b3458c.png": { "image/png": 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" } }, "cell_type": "markdown", "id": "c46efd52-1e00-4e76-8080-563aa903553c", "metadata": {}, "source": [ "