Added Ableitungs Tabelle and NII and Gyrator ESD

src/cheatsheets/Analysis1.typ

@@ -1,5 +1,6 @@
 #import "@preview/mannot:0.3.1"
 
+#import "../lib/ableitungs_tabelle.typ" : *
 #import "../lib/common_rewrite.typ" : *
 #import "../lib/mathExpressions.typ" : *
 
@@ -519,47 +520,7 @@
   // Ableitungstabelle
   #block([
     #set text(size: 7pt)
-    #table(
-      align: horizon, 
-      columns: (auto, auto, auto),
-      table.header([*$F(x)$*], [*$f(x)$*], [*$f'(x)$*]),
-      row-gutter: 1mm,
-      inset: 1.4mm,
-      fill: (x, y) => if calc.rem(x, 3) == 0 { color.hsl(180deg, 89.47%, 88.82%) }
-        else if calc.rem(x, 3) == 1 { color.hsl(180deg, 100%, 93.14%) } else 
-          { color.hsl(180deg, 81.82%, 95.69%) },
-      [$1/(q + x) x^(q+1)$], [$x^q$], [$q x^(q-1)$],
-      [$ln abs(x)$], [$1/x$], [$-1/x^2$],
-      [$x ln(a x) - x$], [$ln(a x)$], [$a / x$],
-      [$2/3 sqrt(a x^3)$], [$sqrt(a x)$], [$a/(2 sqrt(a x))$],
-      [$e^x$], [$e^x$], [$e^x$],
-      [$a^x/ln(a)$], [$a^x$], [$a^x ln(a)$],
-      $-cos(x)$, $sin(x)$, $cos(x)$,
-      $sin(x)$, $cos(x)$, $-sin(x)$,
-      $-ln abs(cos(x))$, $tan(x)$, $1/(cos(x)^2)$,
-      $ln abs(sin(x))$, $cot(x)$, $-1/(sin(x)^2)$,
-
-      [$x arcsin(x) + sqrt(1 - x^2)$],
-      [$arcsin(x)$], [$1/sqrt(1 - x^2)$],
-
-      [$x arccos(x) - sqrt(1 - x^2)$],
-      [$arccos(x)$], [$-1/sqrt(1 - x^2)$],
-
-      [$x arctan(x) - 1/2 ln abs(1 + x^2)$],
-      [$arctan(x)$], [$1/(1 + x^2)$],
-
-      [$x op("arccot")(x) + 1/2 ln abs(1 + x^2)$],
-      [$op("arccot")(x)$], [$-1/(1 + x^2)$],
-
-      [$x op("arsinH")(x) + sqrt(1 + x^2)$],
-      [$op("arsinH")(x)$], [$1/sqrt(1 + x^2)$],
-
-      [$x op("arcosH")(x) + sqrt(1 + x^2)$],
-      [$op("arcosH")(x)$], [$1/sqrt(x^2-1)$],
-
-      [$x op("artanH")(x) + 1/2 ln(1 - x^2)$],
-      [$op("artanH")(x)$], [$1/(1 - x^2)$],
-    )
+    #ableitungsTabelle
   ])
 
   // Extremstellen, Krümmung, Monotonie

src/cheatsheets/Schaltungstheorie.typ

@@ -9,6 +9,7 @@
 #import "../lib/schaltungstheorie/opampTable.typ": *
 #import "../lib/schaltungstheorie/tumCustomSymbols.typ" as tumSymbols
 
+#import "../lib/ableitungs_tabelle.typ" : *
 #import "../lib/circuit.typ": *
 #import "../lib/common_rewrite.typ": *
 #import "../lib/circuit.typ": *
@@ -1442,6 +1443,10 @@
 
     #SineCircle()
   ])
+
+  #colbreak()
+
+  #ableitungsTabelle
 ]
 
 #pagebreak()
@@ -2525,7 +2530,7 @@
         u_2 = R_d i_1 &quad u_2 = - 1/R_d u_1
       $
     ],
-    [],
+    [#align(center+horizon, image("../images/schaltungstheorie/knotenpotenzial/gyraptorESD.png", height: 3cm))],
     [
       - Verlustlos
       - NICHT Reziprok (Antireziprok)
@@ -2609,7 +2614,51 @@
       - Antireziprok
       - Symetrisch für $abs(k) = 1$
     ],
-    [$ H = mat(0, -k; -k, 0) quad H' = mat(0, -1/k; -1/k, 0) \ A = mat(-k, 0; 0, 1/k) quad A'= mat(-1/k, 0; 0, k) $]
+    [$ H = mat(0, -k; -k, 0) quad H' = mat(0, -1/k; -1/k, 0) \ A = mat(-k, 0; 0, 1/k) quad A'= mat(-1/k, 0; 0, k) $],
+
+    [NII],
+        [#zap.circuit({
+      joham.zweitor("NII", (0,0), label: "NII")
+    }) \ Negativ Imitanz Inverter ],
+    [#align(center+horizon, scale(100%, zap.circuit({
+      import zap : *
+      import cetz.draw : line, rect, mark, content
+
+      node("A", (-2, 0), fill: false)
+      node("B", (2, 0), fill: false)
+      node("C", (-2, 1.5), fill: false)
+      node("D", (2, 1.5), fill: false)
+
+      node("A1", (-1.2, 0))
+      node("B1", ( 1.2, 0))
+      node("C1", (-1.2, 1.5))
+      node("D1", ( 1.2, 1.5))
+
+      resistor("R1", "A1", "B1", scale: 0.5, label: (content: $R$, distance: 0.1))
+      resistor("R1", "C1", "D1", scale: 0.5, label: (content: $R$, distance: 0.1))
+
+      joham.norator("N", (0,1.5/2), "D1", scale: 0.5)
+      wire("A1", (0,1.5/2))
+      joham.nullator("N1", "C1", (0,1.5/2), scale: 0.5)
+      wire("B1", (0,1.5/2))
+      wire("A", "A1")
+      wire("B", "B1")
+      wire("C", "C1", i: (content: $i_1$, distance: 0.1))
+      wire("D", "D1", i: (content: $i_2$, distance: 0.1))
+
+      joham.voltage("C", "A", $u_1$)
+      joham.voltage("D", "B", $u_2$)
+
+
+    })))],
+    [
+
+
+    ],
+    [
+      $A_"NII" = mat(0, R; -1/R, 0)$
+    ],
+
   )
   ]
 ]

src/lib/ableitungs_tabelle.typ

@@ -0,0 +1,42 @@
+
+#let ableitungsTabelle = table(
+  align: horizon, 
+  columns: (auto, auto, auto),
+  table.header([*$F(x)$*], [*$f(x)$*], [*$f'(x)$*]),
+  row-gutter: 1mm,
+  inset: 1.4mm,
+  fill: (x, y) => if calc.rem(x, 3) == 0 { color.hsl(180deg, 89.47%, 88.82%) }
+    else if calc.rem(x, 3) == 1 { color.hsl(180deg, 100%, 93.14%) } else 
+      { color.hsl(180deg, 81.82%, 95.69%) },
+  [$1/(q + x) x^(q+1)$], [$x^q$], [$q x^(q-1)$],
+  [$ln abs(x)$], [$1/x$], [$-1/x^2$],
+  [$x ln(a x) - x$], [$ln(a x)$], [$a / x$],
+  [$2/3 sqrt(a x^3)$], [$sqrt(a x)$], [$a/(2 sqrt(a x))$],
+  [$e^x$], [$e^x$], [$e^x$],
+  [$a^x/ln(a)$], [$a^x$], [$a^x ln(a)$],
+  $-cos(x)$, $sin(x)$, $cos(x)$,
+  $sin(x)$, $cos(x)$, $-sin(x)$,
+  $-ln abs(cos(x))$, $tan(x)$, $1/(cos(x)^2)$,
+  $ln abs(sin(x))$, $cot(x)$, $-1/(sin(x)^2)$,
+
+  [$x arcsin(x) + sqrt(1 - x^2)$],
+  [$arcsin(x)$], [$1/sqrt(1 - x^2)$],
+
+  [$x arccos(x) - sqrt(1 - x^2)$],
+  [$arccos(x)$], [$-1/sqrt(1 - x^2)$],
+
+  [$x arctan(x) - 1/2 ln abs(1 + x^2)$],
+  [$arctan(x)$], [$1/(1 + x^2)$],
+
+  [$x op("arccot")(x) + 1/2 ln abs(1 + x^2)$],
+  [$op("arccot")(x)$], [$-1/(1 + x^2)$],
+
+  [$x op("arsinH")(x) + sqrt(1 + x^2)$],
+  [$op("arsinH")(x)$], [$1/sqrt(1 + x^2)$],
+
+  [$x op("arcosH")(x) + sqrt(1 + x^2)$],
+  [$op("arcosH")(x)$], [$1/sqrt(x^2-1)$],
+
+  [$x op("artanH")(x) + 1/2 ln(1 - x^2)$],
+  [$op("artanH")(x)$], [$1/(1 - x^2)$],
+)