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--- test [August 17, 2026 at 17:39] – Ivan Janevski
+++ test [August 17, 2026 at 17:49] (current) – Ivan Janevski
@@ Line 1: / Line 1: @@
-Can I use ket
+\documentclass[tikz,border=5pt]{standalone}
-$$\lvert\psi\rangle\langle\psi\lvert\\ \ket{\psi}\bra{\psi}$$
-<p5sketch>
+\usepackage{amsmath}
-fdsafsdafds
+\usepackage{circuitikz}
-<p5sketch>
+\usetikzlibrary{
+    calc,
-\documentclass[tikz,border=5pt]{standalone}
+    arrows.meta,
-\usepackage[american]{circuitikz}
+    decorations.pathmorphing
+}
 \begin{document}
 \begin{circuitikz}[
-    scale=1.25,
+    line width=1.35pt,
-    transform shape,
+    line cap=round,
-    every node/.style={font=\large}
+    line join=round,
+    >=Latex,
+    font=\Large
 ]
-% Nodes
+% ============================================================
-\coordinate (C)  at (0,0);
+% Resistor style
+% ============================================================
-\coordinate (TL) at (-2, 2);
+\tikzset{
-\coordinate (LM) at (-3, 0);
+    resistor/.style={
-\coordinate (BL) at (-2,-2);
+        decorate,
+        decoration={
+            zigzag,
+            segment length=8.0pt,
+            amplitude=5.2pt
+        }
+    }
+}
-\coordinate (TR) at ( 2, 2);
+% ============================================================
-\coordinate (RM) at ( 3, 0);
+% Main geometry
-\coordinate (BR) at ( 2,-2);
+% ============================================================
-% ------------------------------------------------------------------
+\coordinate (C)  at ( 0.00, 0.00);
-% Outer branches
-% ------------------------------------------------------------------
+\coordinate (L)  at (-4.40, 0.00);
+\coordinate (TL) at (-2.10, 3.80);
+\coordinate (TR) at ( 2.22, 3.80);
+\coordinate (R)  at ( 4.40, 0.00);
+\coordinate (BR) at ( 2.26,-3.72);
+\coordinate (BL) at (-2.28,-3.72);
+% ============================================================
+% Outer upper-left branch
+% ============================================================
+\coordinate (UL1) at ($(L)!0.25!(TL)$);
+\coordinate (UL2) at ($(L)!0.67!(TL)$);
+\draw (L) -- (UL1);
+\draw[resistor] (UL1) -- (UL2);
+\draw (UL2) -- (TL);
+\node at (-3.79,1.88) {$R$};
+% ============================================================
+% Top branch: Ig1 + R
+% ============================================================
+\coordinate (Ig1) at (-0.91,3.80);
-% Top: TL -- Ig1 -- R -- TR
 \draw
     (TL)
-    to[I, l=$I_{g1}$, invert] (-0.9,2)
+    --
-    to[R, l=$R$] (TR);
+    ($(Ig1)+(-0.62,0)$);
-% Upper-left
 \draw
-    (TL) to[R, l_=$R$] (LM);
+    (Ig1)
+    circle[radius=0.62];
+\draw[-{Latex[length=8pt,width=8pt]},line width=1.5pt]
+    ($(Ig1)+(0.30,0)$)
+    --
+    ($(Ig1)+(-0.31,0)$);
-% Lower-left: LM -- E2 -- R -- BL
 \draw
-    (LM)
+    ($(Ig1)+(0.62,0)$)
-    to[V, l_=$E_2$] (-2.55,-0.85)
+    --
-    to[R, l_=$R$] (BL);
+    (0.04,3.80);
+\draw[resistor]
+    (0.04,3.80)
+    --
+    (1.14,3.80);
+\draw
+    (1.14,3.80)
+    --
+    (TR);
+\node at (-0.91,4.77) {$I_{g1}$};
+\node at (0.59,4.36) {$R$};
+% ============================================================
+% Outer upper-right branch
+% ============================================================
+\coordinate (UR1) at ($(TR)!0.25!(R)$);
+\coordinate (UR2) at ($(TR)!0.67!(R)$);
+\draw (TR) -- (UR1);
+\draw[resistor] (UR1) -- (UR2);
+\draw (UR2) -- (R);
+\node at (3.75,1.88) {$R$};
+% ============================================================
+% Outer lower-right branch
+% ============================================================
+\coordinate (LR1) at ($(R)!0.26!(BR)$);
+\coordinate (LR2) at ($(R)!0.67!(BR)$);
+\draw (R) -- (LR1);
+\draw[resistor] (LR1) -- (LR2);
+\draw (LR2) -- (BR);
+\node at (3.72,-1.88) {$R$};
+% ============================================================
+% Bottom branch: E3 + R
+% ============================================================
+\coordinate (E3) at (-1.01,-3.72);
-% Bottom: BL -- E3 -- R -- BR
 \draw
     (BL)
-    to[V, l_=$E_3$] (-0.7,-2)
+    --
-    to[R, l_=$R$] (BR);
+    ($(E3)+(-0.62,0)$);
-% Upper-right
 \draw
-    (TR) to[R, l=$R$] (RM);
+    (E3)
+    circle[radius=0.62];
-% Lower-right
 \draw
-    (RM) to[R, l=$R$] (BR);
+    ($(E3)+(0.62,0)$)
+    --
+    (0.02,-3.72);
-% ------------------------------------------------------------------
+\draw[resistor]
-% Inner branches
+    (0.02,-3.72)
-% ------------------------------------------------------------------
+    --
+    (1.15,-3.72);
-% TL -- R -- C
 \draw
-    (TL) to[R, l=$R$] (C);
+    (1.15,-3.72)
+    --
+    (BR);
+\node at (-1.23,-4.48) {$+$};
+\node at (-1.00,-5.08) {$E_3$};
+\node at (0.59,-4.36) {$R$};
+% ============================================================
+% Outer lower-left branch: E2 + R
+% ============================================================
+\coordinate (E2) at (-3.70,-1.08);
-% LM -- Ig2 --> C
 \draw
-    (LM) to[I, l=$I_{g2}$] (C);
+    (L)
+    --
+    ($(E2)!0.62cm!(L)$);
-% BL -- R -- C
 \draw
-    (BL) to[R, l=$R$] (C);
+    (E2)
+    circle[radius=0.62];
+\coordinate (E2out)
+    at ($(E2)!0.62cm!(BL)$);
+\coordinate (LL1)
+    at ($(E2out)!0.28!(BL)$);
+\coordinate (LL2)
+    at ($(E2out)!0.70!(BL)$);
-% C -- E1 -- TR
 \draw
-    (C) to[V, l=$E_1$] (TR);
+    (E2out)
+    --
+    (LL1);
+\draw[resistor]
+    (LL1)
+    --
+    (LL2);
-% C -- Ig3 --> RM
 \draw
-    (C) to[I, l=$I_{g3}$] (RM);
+    (LL2)
+    --
+    (BL);
+\node at (-4.76,-0.80) {$+$};
+\node at (-4.80,-1.84) {$E_2$};
+\node at (-3.67,-2.91) {$R$};
+% ============================================================
+% Horizontal branch: Ig2
+% ============================================================
+\coordinate (Ig2) at (-2.05,0);
-% C -- E4 -- BR
 \draw
-    (C) to[V, l=$E_4$] (BR);
+    (L)
+    --
+    ($(Ig2)+(-0.62,0)$);
-% ------------------------------------------------------------------
+\draw
-% Junction dots
+    (Ig2)
-% ------------------------------------------------------------------
+    circle[radius=0.62];
-\foreach \p in {TL,LM,BL,C,TR,RM,BR}
+\draw[-{Latex[length=8pt,width=8pt]},line width=1.5pt]
-    \fill (\p) circle (2pt);
+    ($(Ig2)+(-0.30,0)$)
+    --
+    ($(Ig2)+(0.31,0)$);
-\end{circuitikz}
+\draw
+    ($(Ig2)+(0.62,0)$)
+    --
+    (C);
-\end{document}
+\node at (-2.06,1.10) {$I_{g2}$};
+% ============================================================
+% Horizontal branch: Ig3
+% ============================================================
+\coordinate (Ig3) at (2.07,0);
+\draw
+    (C)
+    --
+    ($(Ig3)+(-0.62,0)$);
-\documentclass[border=5pt]{standalone}
+\draw
-\usepackage{tikz}
+    (Ig3)
-\usetikzlibrary{arrows.meta,positioning}
+    circle[radius=0.62];
-\begin{document}
-\begin{tikzpicture}[node distance=18mm,>={Stealth[round]}]
-  \node[draw,circle] (a) {$a$};
-  \node[draw,circle,right=of a] (b) {$b$};
-  \node[draw,circle,right=of b] (c) {$c$};
-  \draw[->,thick] (a) -- node[above]{$f$} (b);
-  \draw[->,thick] (b) -- node[above]{$g$} (c);
-  \draw[->,thick,bend right=40] (a) to node[below]{$g\circ f$} (c);
-\end{tikzpicture}
-\end{document}
+\draw[-{Latex[length=8pt,width=8pt]},line width=1.5pt]
+    ($(Ig3)+(-0.30,0)$)
+    --
+    ($(Ig3)+(0.31,0)$);
-\documentclass[border=5pt]{standalone}
+\draw
-\usepackage{tikz}
+    ($(Ig3)+(0.62,0)$)
-\begin{document}
+    --
-\begin{tikzpicture}[opacity=0.55,text opacity=1]
+    (R);
-  \fill[red!70]   ( 90:0.9) circle (1.5);
-  \fill[green!70] (210:0.9) circle (1.5);
-  \fill[blue!70]  (330:0.9) circle (1.5);
-  \node at ( 90:1.7) {$A$};
-  \node at (210:1.7) {$B$};
-  \node at (330:1.7) {$C$};
-  \node[opacity=1] at (0,0) {\small $A\cap B\cap C$};
-\end{tikzpicture}
-\end{document}
+\node at (2.08,1.10) {$I_{g3}$};
+% ============================================================
+% Internal upper-left resistor
+% ============================================================
-<circuitjs width="800" height="600">
+\coordinate (IUL1)
-$ 1 5.0E-6 10 53 5.0 50
+    at ($(TL)!0.27!(C)$);
-v 160 352 160 64 0 1 40.0 5.0 0.0
-w 160 64 304 64 0
+\coordinate (IUL2)
-w 304 64 304 128 0
+    at ($(TL)!0.66!(C)$);
-d 304 128 368 192 0
-d 304 256 368 192 0
+\draw
-d 240 192 304 128 0
+    (TL)
-d 240 192 304 256 0
+    --
-w 304 256 304 352 0
+    (IUL1);
-w 304 352 160 352 0
-w 240 192 240 288 0
+\draw[resistor]
-w 368 192 416 192 0
+    (IUL1)
-w 240 288 416 288 0
+    --
-r 416 192 416 288 0 100.0
+    (IUL2);
-x 463 248 479 248 0 20 load
-o 0 64 0 3 5.0 0.05 0
+\draw
-o 12 64 0 3 5.0 0.05 1
+    (IUL2)
-</circuitjs>
+    --
+    (C);
+\node at (-1.36,1.88) {$R$};
+% ============================================================
+% Internal lower-left resistor
+% ============================================================
+\coordinate (ILL1)
+    at ($(C)!0.31!(BL)$);
+\coordinate (ILL2)
+    at ($(C)!0.68!(BL)$);
+\draw
+    (C)
+    --
+    (ILL1);
+\draw[resistor]
+    (ILL1)
+    --
+    (ILL2);
+\draw
+    (ILL2)
+    --
+    (BL);
+\node at (-1.33,-1.88) {$R$};
+% ============================================================
+% Internal upper-right source E1
+% ============================================================
+\coordinate (E1) at (1.20,2.10);
+\draw
+    (C)
+    --
+    ($(E1)!0.62cm!(C)$);
+\draw
+    (E1)
+    circle[radius=0.62];
+\draw
+    ($(E1)!0.62cm!(TR)$)
+    --
+    (TR);
+\node at (0.83,2.97) {$E_1$};
+\node[rotate=-31] at (0.87,3.31) {$+$};
+% ============================================================
+% Internal lower-right source E4
+% ============================================================
+\coordinate (E4) at (1.24,-2.07);
+\draw
+    (C)
+    --
+    ($(E4)!0.62cm!(C)$);
+\draw
+    (E4)
+    circle[radius=0.62];
+\draw
+    ($(E4)!0.62cm!(BR)$)
+    --
+    (BR);
+\node at (2.06,-1.67) {$E_4$};
+\node[rotate=-31] at (2.20,-2.14) {$+$};
+% ============================================================
+% Junction dots
+% ============================================================
+\fill (L)  circle[radius=4.2pt];
+\fill (TL) circle[radius=4.2pt];
+\fill (TR) circle[radius=4.2pt];
+\fill (R)  circle[radius=4.2pt];
+\fill (BR) circle[radius=4.2pt];
+\fill (BL) circle[radius=4.2pt];
+\fill (C)  circle[radius=4.2pt];
+\end{circuitikz}
+\end{document}