Merge pull request #25 from boasbakker/main

Change 10^3 -> 10^4 and fix typo

Author: FreekPols

book/Course files/Notebook 6/Notebook 6 Measurement uncertainty.ipynb

@@ -466,7 +466,7 @@
     "        ></iframe>\n",
     "    </div>\n",
     "</div>\n",
-    "\\\n",
+    "\n",
     "\n",
     "As indicated, there is variation in repeated measurements. We can view the physical measurement $M$ as the sum of the physical value $G$ and noise $s$:\n",
     "\n",
@@ -864,7 +864,7 @@
     "(MO:std:labels)=\n",
     "### Measurement uncertainty and significant figures\n",
     "\n",
-    "An important rule regarding significant figures is that you must first determine the number of decimal places in your uncertainty. If you have fewer than $10^3$ measurement points, the uncertainty should be expressed with one significant digit. The significance of your result is then adjusted so that its last digit corresponds to the digit of the uncertainty. You can use powers of 10 or prefixes to clearly represent the number, see table below.\n",
+    "An important rule regarding significant figures is that you must first determine the number of decimal places in your uncertainty. If you have fewer than $10^4$ measurement points, the uncertainty should be expressed with one significant digit. The significance of your result is then adjusted so that its last digit corresponds to the digit of the uncertainty. You can use powers of 10 or prefixes to clearly represent the number, see table below.\n",
     "\n",
     "<!-- {#tab:powersof10}. -->\n",
     "\n",
@@ -896,7 +896,7 @@
     "First, we determine the mean value $\\mu_U=\\overline{U}=\\frac{1}{N}\\sum_{i=1}^{N} U_i = 5.000 \\mathrm{V}$. \\\n",
     "Then we determine the standard deviation $\\sigma(U) = \\sqrt{\\frac{1}{N-1}\\sum_{i=1}^N (U_i-\\overline{U})^2} = 0.038078866 \\mathrm{V}$. \\\n",
     "Finally, we determine the uncertainty in the average value $u(U) = \\frac{\\sigma(U)} {\\sqrt{N}} = 0.017029386 \\mathrm{V}$.\n",
-    "We have fewer than $10^3$ measurement points, so we round the uncertainty to 1 significant figure: $u(U) = 0.02 \\mathrm{V}$.\n",
+    "We have fewer than $10^4$ measurement points, so we round the uncertainty to 1 significant figure: $u(U) = 0.02 \\mathrm{V}$.\n",
     "The uncertainty has two decimal places, so we adjust our mean accordingly: $\\overline{U} = 5.00 \\pm 0.02 \\mathrm{V}$.\n",
     "````\n",
     "\n",