Friday, August 18, 2023, 20:00:01 + 6

enter/.obsidian/workspace.json

@@ -54,7 +54,7 @@
             }
           },
           {
-            "id": "821695a40daeadc2",
+            "id": "11fc0a75dace010f",
             "type": "leaf",
             "state": {
               "type": "markdown",
@@ -197,10 +197,11 @@
       "omnisearch:Omnisearch": false
     }
   },
-  "active": "232b6fc149c4f16b",
+  "active": "11fc0a75dace010f",
   "lastOpenFiles": [
-    "Coding Tips (Classical)/Terminal Tips/Servers/Physical Servers/Raspberry Pis.md",
+    "Coding Tips (Classical)/Terminal Tips/Servers/Cloud Servers/About Cloud Servers.md",
     "Proof of a formula for modulo.md",
+    "Coding Tips (Classical)/Terminal Tips/Servers/Physical Servers/Raspberry Pis.md",
     "Coding Tips (Classical)/Terminal Tips/Languages/LaTeX.md",
     "Machine Tips (Quantum)/Math/Visualizing the Quantum Space.md",
     "Machine Tips (Quantum)/Math/Quantum Formalism.md",
@@ -209,7 +210,6 @@
     "Coding Tips (Classical)/Terminal Tips/Servers/Virtual Machines/About Virtual Machines.md",
     "Coding Tips (Classical)/Terminal Tips/Servers/Virtual Machines/Connect to a VirtualBox VM desktop remotely.md",
     "Coding Tips (Classical)/Terminal Tips/Servers/About Servers.md",
-    "Coding Tips (Classical)/Terminal Tips/Servers/Cloud Servers/About Cloud Servers.md",
     "Coding Tips (Classical)/Terminal Tips/Servers/Virtual Machines",
     "Coding Tips (Classical)/Terminal Tips/GUIs/Tools/Extensions.md",
     "Coding Tips (Classical)/Terminal Tips/GUIs/Tools/Progressive Web Apps.md",

enter/Proof of a formula for modulo.md

@@ -41,4 +41,12 @@ $$((amodp)b)modp=abmodp$$
 
 Now let a as $3^{24}$, and b as 54 in formula (1):
 
-$$3^{24×54}\ mod \ 17=((3^{24})^{54}) \ mod \ 17=((324mod17)54)mod17=1654mod17$$
+$$
+ \\ 
+
+\\begin{align}
+ 3^{24×54}\ mod \ 17=((3^{24})^{54}) \ mod \ 17 \\ \\&=  ((3^{24} \ mod \17)^{54})mod 17 
+
+
+\end{align}
+= 16^{54}mod17$$