From 74e8413532b42a78f68d2c9a34f43ee2f20e6918 Mon Sep 17 00:00:00 2001 From: Marius Drechsler Date: Mon, 23 Jun 2025 21:58:47 +0200 Subject: [PATCH 1/2] More work on presentation --- .../background/bach/instability/frame_1.png | Bin 0 -> 6066 bytes .../background/bach/instability/frame_18.png | Bin 0 -> 6073 bytes .../background/bach/instability/frame_25.png | Bin 0 -> 6107 bytes .../background/bach/instability/frame_7.png | Bin 0 -> 6107 bytes graphics/background/sign-based-overlay.typ | 34 + graphics/background/two-bit-enroll.typ | 26 + graphics/background/z_distribution.csv | 1000 +++++++++++++++++ graphics/background/z_distribution.typ | 27 + graphics/execution/brute-force-occurs.png | Bin 0 -> 126845 bytes graphics/execution/brute-force.png | Bin 0 -> 71768 bytes graphics/execution/given_codeword.png | Bin 0 -> 86234 bytes graphics/execution/helperdata_occurs.png | Bin 0 -> 178165 bytes graphics/execution/recursive.typ | 56 + .../execution/recursive_distribution .png | Bin 0 -> 26633 bytes main.typ | 102 +- 15 files changed, 1240 insertions(+), 5 deletions(-) create mode 100644 graphics/background/bach/instability/frame_1.png create mode 100644 graphics/background/bach/instability/frame_18.png create mode 100644 graphics/background/bach/instability/frame_25.png create mode 100644 graphics/background/bach/instability/frame_7.png create mode 100644 graphics/background/sign-based-overlay.typ create mode 100644 graphics/background/two-bit-enroll.typ create mode 100644 graphics/background/z_distribution.csv create mode 100644 graphics/background/z_distribution.typ create mode 100644 graphics/execution/brute-force-occurs.png create mode 100644 graphics/execution/brute-force.png create mode 100644 graphics/execution/given_codeword.png create mode 100644 graphics/execution/helperdata_occurs.png create mode 100644 graphics/execution/recursive.typ create mode 100644 graphics/execution/recursive_distribution .png diff --git 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1/calc.sqrt(2*calc.pi)*calc.exp(-(calc.pow(x,2)/2)), + (-3, 3), + 300), + style: (stroke: (paint: red, thickness: 3pt)), + // label: [PDF einer Normalverteilung] + ) + plot.add(((-3,0), (0,0), (0,ymax), (3,ymax)), style: line_style, /*label: [$cal(Q)(1,x)$]*/) + }) +}) diff --git a/graphics/background/two-bit-enroll.typ b/graphics/background/two-bit-enroll.typ new file mode 100644 index 0000000..c8e8191 --- /dev/null +++ b/graphics/background/two-bit-enroll.typ @@ -0,0 +1,26 @@ +#import "@preview/cetz:0.3.4": canvas, draw, palette +#import "@preview/cetz-plot:0.1.1": plot, chart + +#let line_style = (stroke: (paint: black, thickness: 3pt)) +#let dashed = (stroke: (dash: "dashed")) +#canvas({ + import draw: * + set-style(axes: (shared-zero: false)) + plot.plot(size: (8,6), + x-tick-step: none, + x-ticks: ((0.25, [$g_1$]), (0.5, [0]), (0.75, [$g_2$])), + y-label: $cal(Q)(2, 1, tilde(x))$, + x-label: $tilde(x)$, + y-tick-step: none, + y-ticks: ((0.25, [00]), (0.5, [01]), (0.75, [10]), (1, [11])), + axis-style: "left", + //x-min: 0, + x-max: 1, + y-min: 0, + y-max: 1,{ + plot.add(((0,0.25), (0.25,0.25), (0.5,0.5), (0.75,0.75), (1, 1)), line: "vh", style: line_style) + //plot.add(((0,0), (0,0)), style: (stroke: none)) + plot.add-hline(0.25, 0.5, 0.75, 1, style: dashed) + plot.add-vline(0.25, 0.5, 0.75, 1, style: dashed) + }) +}) diff --git a/graphics/background/z_distribution.csv b/graphics/background/z_distribution.csv new file mode 100644 index 0000000..8f17016 --- /dev/null +++ b/graphics/background/z_distribution.csv @@ -0,0 +1,1000 @@ +-10.0,1.5670866530993244e-11 +-9.97997997997998,1.731898421572835e-11 +-9.95995995995996,1.913660039744377e-11 +-9.93993993993994,2.1140737179795716e-11 +-9.91991991991992,2.3350083243845715e-11 +-9.8998998998999,2.57851526231251e-11 +-9.87987987987988,2.8468458165120247e-11 +-9.85985985985986,3.142470099460374e-11 +-9.83983983983984,3.4680977407952604e-11 +-9.81981981981982,3.826700475075735e-11 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+9.8998998998999,2.57851526231251e-11 +9.91991991991992,2.3350083243845715e-11 +9.93993993993994,2.1140737179795716e-11 +9.95995995995996,1.913660039744377e-11 +9.97997997997998,1.731898421572835e-11 +10.0,1.5670866530993244e-11 diff --git a/graphics/background/z_distribution.typ b/graphics/background/z_distribution.typ new file mode 100644 index 0000000..f0ead54 --- /dev/null +++ b/graphics/background/z_distribution.typ @@ -0,0 +1,27 @@ +#import "@preview/cetz:0.3.4": canvas +#import "@preview/cetz-plot:0.1.1": plot, chart + +#let data = csv("./z_distribution.csv") +#let data = data.map(value => value.map(v => float(v))) + +#let line_style = (stroke: (paint: black, thickness: 3pt)) +#let dashed = (stroke: (dash: "dashed")) +#canvas({ + plot.plot(size: (11,5), + legend : "south", + legend-style: (orientation: ltr, item: (spacing: 0.5)), + x-tick-step: none, + x-ticks: ((0, [0]), (100, [0])), + y-label: $cal(Q)(1, z), abs(f_"Z" (z))$, + x-label: $z$, + y-tick-step: none, + y-ticks: ((0, 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b/graphics/execution/recursive.typ new file mode 100644 index 0000000..cf15974 --- /dev/null +++ b/graphics/execution/recursive.typ @@ -0,0 +1,56 @@ +#import "@preview/fletcher:0.5.8" as fletcher: diagram, node, edge +#import fletcher.shapes: pill + +#diagram( + spacing: (-3mm, 8mm), // wide columns, narrow rows + node-stroke: 1pt, // outline node shapes + edge-stroke: 1pt, // make lines thicker + mark-scale: 60%, // make arrowheads smaller + node((0,0), [Start], name: ), + node((-4, 1), [u1], name: ), + node((4, 1), [u2], name: ), + + node((-6, 2), [u11], name: ), + node((-2, 2), [u12], name: ), + node((2, 2), [u21], name: ), + node((6, 2), [u22], name: ), + + node((-7, 3), [u111], name: ), + node((-5, 3), [u112], name: ), + node((-3, 3), [u121], name: ), + node((-1, 3), [u122], name: ), + node((1, 3), [u211], name: ), + node((3, 3), [u212], name: ), + node((5, 3), [u221], name: ), + node((7, 3), [u222], name: ), + + node((-20mm, 33mm), [n1], shape: pill, name: ), + node((-20mm, 18.5mm), [n2], shape: pill, name: ), + node((-20mm, 4mm), [n3], shape: pill, name: ), + + edge(, , "->"), + edge(, , "->"), + edge(, , "->"), + + edge(, , "->"), + edge(, , "->"), + + edge(, , "->"), + edge(, , "->"), + edge(, , "->"), + edge(, , "->"), + + edge(, , "->"), + edge(, , "->"), + edge(, , "->"), + edge(, , "->"), + edge(, , "->"), + edge(, , "->"), + edge(, , "->"), + edge(, , "->"), + + node(enclose: (, ), stroke: aqua, fill: aqua.lighten(90%), name: ), + node(enclose: (, ), stroke: teal, fill: teal.lighten(90%), name: ), + node(enclose: (, ), stroke: eastern, fill: eastern.lighten(90%), name: ) + +) diff --git a/graphics/execution/recursive_distribution .png b/graphics/execution/recursive_distribution .png new file mode 100644 index 0000000000000000000000000000000000000000..b9ad89b759b228fcd321766f00a182612f00ac86 GIT binary patch literal 26633 zcmeAS@N?(olHy`uVBq!ia0y~yU=n9wV65U`V_;xd6Eakt5%+d3=bZ4+ zpa12{($eJ}1X3p|oMsZ%e*Io3D|4sl&V1D@?#P`Bb~a_s>WC7%rKHz+_57>wnfAT{ 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