vault backup: 2023-06-11 14:51:54

!Załączniki/Op-Amp 2023-06-06 14.10.38.excalidraw.md

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+mvKDAkASpiiZhTAsxCYKbhnAeoWvOqwIAzAwgZgI8STLEAPFeWcAJ4wgBtR5BqAY
 
+AG5BABuQgAA=
 ```
 %%

.obsidian/workspace.json

@@ -11,8 +11,12 @@
             "id": "f20fb79c1d381dd9",
             "type": "leaf",
             "state": {
-              "type": "empty",
+              "type": "markdown",
-              "state": {}
+              "state": {
+                "file": "TIiK/Wykład/1..md",
+                "mode": "source",
+                "source": false
+              }
             }
           },
           {
@@ -27,8 +31,7 @@
               }
             }
           }
-        ],
+        ]
-        "currentTab": 1
       }
     ],
     "direction": "vertical"
@@ -102,7 +105,7 @@
             "state": {
               "type": "backlink",
               "state": {
-                "file": "!Załączniki/Op-Amp 2023-06-06 14.10.38.excalidraw.md",
+                "file": "TIiK/Wykład/1..md",
                 "collapseAll": false,
                 "extraContext": false,
                 "sortOrder": "alphabetical",
@@ -119,7 +122,7 @@
             "state": {
               "type": "outgoing-link",
               "state": {
-                "file": "!Załączniki/Op-Amp 2023-06-06 14.10.38.excalidraw.md",
+                "file": "TIiK/Wykład/1..md",
                 "linksCollapsed": false,
                 "unlinkedCollapsed": true
               }
@@ -142,7 +145,7 @@
             "state": {
               "type": "outline",
               "state": {
-                "file": "!Załączniki/Op-Amp 2023-06-06 14.10.38.excalidraw.md"
+                "file": "TIiK/Wykład/1..md"
               }
             }
           },
@@ -224,59 +227,25 @@
       "3d-graph:3D Graph": false,
       "juggl:Juggl global graph": false,
       "random-note:Open random note": false,
-      "obsidian-excalidraw-plugin:Create new drawing": false
+      "obsidian-excalidraw-plugin:Create new drawing": false,
+      "breadcrumbs:Breadcrumbs Visualisation": false
     }
   },
-  "floating": {
+  "active": "f20fb79c1d381dd9",
-    "id": "3db80ccf6832c961",
-    "type": "floating",
-    "children": [
-      {
-        "id": "1708f579ececd0eb",
-        "type": "window",
-        "children": [
-          {
-            "id": "7e6dd87661920825",
-            "type": "tabs",
-            "children": [
-              {
-                "id": "388fed1d7283852d",
-                "type": "leaf",
-                "state": {
-                  "type": "excalidraw",
-                  "state": {
-                    "file": "!Załączniki/Op-Amp 2023-06-06 14.10.38.excalidraw.md"
-                  }
-                }
-              }
-            ]
-          }
-        ],
-        "direction": "vertical",
-        "x": 852,
-        "y": 77,
-        "width": 706,
-        "height": 781,
-        "maximize": false,
-        "zoom": -0.5
-      }
-    ]
-  },
-  "active": "388fed1d7283852d",
   "lastOpenFiles": [
-    "EiM/Ćwiczenia/Op-Amp.md",
-    "!Załączniki/Op-Amp 2023-06-06 14.10.38.excalidraw.md",
-    "EiM/EiM.md",
-    "TIiK/Ćwiczenia/3. Hamming.md",
-    "TIiK/Wykład/4..md",
-    "TIiK/Wykład/3. Łańcuchy markowa.md",
-    "TIiK/Ćwiczenia/2. Markow.md",
     "TIiK/Wykład/Wykład.md",
+    "TIiK/Wykład/4..md",
     "TIiK/Wykład/ważne.md",
-    "TIiK/Wykład/2..md",
     "TIiK/Wykład/1..md",
+    "TIiK/Ćwiczenia/3. Hamming.md",
+    "TIiK/Ćwiczenia/2. Markow.md",
     "TIiK/Ćwiczenia/1. Logarytmy.md",
     "TIiK/TIiK.md",
+    "!Załączniki/Op-Amp 2023-06-06 14.10.38.excalidraw.md",
+    "EiM/Ćwiczenia/Op-Amp.md",
+    "EiM/EiM.md",
+    "TIiK/Wykład/3. Łańcuchy markowa.md",
+    "TIiK/Wykład/2..md",
     "Elektrotechnika/Ćwiczenia/20230526102526.md",
     "AiSD/AiSD.md",
     "TC/Wykład/8. Przerzutniki.md",

TIiK/Ćwiczenia/2. Markow.md

@@ -1,12 +1,12 @@
-Żródło generuje wiadomości 0, 1
+# Żródło generuje wiadomości 0, 1
 Entropia źródła przy założeniach:
-a) równoprawdopodobne i niezależne - 
+### a) równoprawdopodobne i niezależne - 
 x={0,1}
 P_xi(1/2,1/2)
 H(X)=ld 2 = 1 bit
-b) niezależne - p0=3/4 p1=1/4
+### b) niezależne - p0=3/4 p1=1/4
 H(x)=-3/4ld3/4-1/4ld1/4=0.81 Hb\<Ha
-c) źrodło z pamięcią, równo prawdopodobne
+### c) źrodło z pamięcią, równo prawdopodobne
 P(0/1)=P(1/0)=1/3
 
 P(0)=P(1)=1/2
@@ -16,6 +16,7 @@ $P(1)=\frac{2}{3}P(1)+ \frac{1}{3}P(0)$
 $P0+P1=1$
 p0=1/2=P1
 $H_{1}(x)=-\sum\sum P(x_{i}x_{j})ld P(x_{i}/x_{j )=}0.688$
+
 |xjxi|P(xj)|P(xi/xj)|p(xixj)|
 |-|-|-|-|
 |00|1/2|2/3|1/3|