278 lines
16 KiB
XML
278 lines
16 KiB
XML
<?xml version="1.0" encoding="UTF-8" standalone="no"?>
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<!--
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- StarForth — Steady-State Virtual Machine Runtime
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-
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- Copyright (c) 2023–2025 Robert A. James
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- All rights reserved.
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-
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- This file is part of the StarForth project.
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-
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- Licensed under the StarForth License, Version 1.0 (the "License");
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- you may not use this file except in compliance with the License.
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-
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- You may obtain a copy of the License at:
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- https://github.com/star.4th@proton.me/StarForth/LICENSE.txt
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-
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- This software is provided "AS IS", WITHOUT WARRANTY OF ANY KIND,
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- express or implied, including but not limited to the warranties of
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- merchantability, fitness for a particular purpose, and noninfringement.
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-
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- See the License for the specific language governing permissions and
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- limitations under the License.
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-
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- StarForth — Steady-State Virtual Machine Runtime
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- Copyright (c) 2023–2025 Robert A. James
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- All rights reserved.
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-
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- This file is part of the StarForth project.
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-
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- Licensed under the StarForth License, Version 1.0 (the "License");
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- you may not use this file except in compliance with the License.
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-
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- You may obtain a copy of the License at:
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- https://github.com/star.4th@proton.me/StarForth/LICENSE.txt
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-
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- This software is provided "AS IS", WITHOUT WARRANTY OF ANY KIND,
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- express or implied, including but not limited to the warranties of
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- merchantability, fitness for a particular purpose, and noninfringement.
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-
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- See the License for the specific language governing permissions and
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- limitations under the License.
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-
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-->
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<svg width="960" height="540" viewBox="0 0 960 540" xmlns="http://www.w3.org/2000/svg">
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<!-- Title (outside boundary) -->
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<text x="480" y="30" font-family="Liberation Sans, DejaVu Sans, sans-serif" font-size="16" font-weight="bold" text-anchor="middle">
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Figure 5: Bimodal K Distributions (Dual Attractor States)
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</text>
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<!-- Panel 1: W=4096B (Anti-resonance, Zero Variance) -->
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<g transform="translate(60, 80)">
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<text x="110" y="-10" font-family="Liberation Sans, DejaVu Sans, sans-serif" font-size="13" font-weight="bold" text-anchor="middle">
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W = 4096B (Anti-resonance)
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</text>
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<!-- Axes -->
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<line x1="0" y1="350" x2="220" y2="350" stroke="black" stroke-width="1.25" />
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<line x1="0" y1="0" x2="0" y2="350" stroke="black" stroke-width="1.25" />
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<!-- X-axis label -->
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<text x="110" y="385" font-family="Liberation Sans, DejaVu Sans, sans-serif" font-size="11" text-anchor="middle">
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K Statistic
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</text>
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<!-- Y-axis label -->
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<text x="-175" y="-15" font-family="Liberation Sans, DejaVu Sans, sans-serif" font-size="11" text-anchor="middle" transform="rotate(-90)">
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Count (out of 30 runs)
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</text>
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<!-- X-axis ticks -->
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<line x1="0" y1="350" x2="0" y2="360" stroke="black" stroke-width="1.25" />
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<text x="0" y="375" font-family="Liberation Sans, DejaVu Sans, sans-serif" font-size="9" text-anchor="middle">0.0</text>
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<line x1="110" y1="350" x2="110" y2="360" stroke="black" stroke-width="1.25" />
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<text x="110" y="375" font-family="Liberation Sans, DejaVu Sans, sans-serif" font-size="9" text-anchor="middle">0.5</text>
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<line x1="220" y1="350" x2="220" y2="360" stroke="black" stroke-width="1.25" />
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<text x="220" y="375" font-family="Liberation Sans, DejaVu Sans, sans-serif" font-size="9" text-anchor="middle">1.0</text>
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<!-- Y-axis ticks -->
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<line x1="-5" y1="350" x2="0" y2="350" stroke="black" stroke-width="1.25" />
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<text x="-10" y="355" font-family="Liberation Sans, DejaVu Sans, sans-serif" font-size="9" text-anchor="end">0</text>
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<line x1="-5" y1="233" x2="0" y2="233" stroke="black" stroke-width="1.25" />
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<text x="-10" y="238" font-family="Liberation Sans, DejaVu Sans, sans-serif" font-size="9" text-anchor="end">10</text>
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<line x1="-5" y1="117" x2="0" y2="117" stroke="black" stroke-width="1.25" />
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<text x="-10" y="122" font-family="Liberation Sans, DejaVu Sans, sans-serif" font-size="9" text-anchor="end">20</text>
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<line x1="-5" y1="0" x2="0" y2="0" stroke="black" stroke-width="1.25" />
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<text x="-10" y="5" font-family="Liberation Sans, DejaVu Sans, sans-serif" font-size="9" text-anchor="end">30</text>
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<!-- Single bar at K=0.0625 (all 30 runs) -->
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<!-- K=0.0625 -> x = 0.0625 * 220 = 13.75 -->
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<rect x="10" y="0" width="15" height="350" fill="blue" stroke="black" stroke-width="1.25" />
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<text x="17.5" y="-5" font-family="Liberation Sans, DejaVu Sans, sans-serif" font-size="11" font-weight="bold" text-anchor="middle">30</text>
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<!-- Annotation -->
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<text x="110" y="180" font-family="Liberation Sans, DejaVu Sans, sans-serif" font-size="10" text-anchor="middle" fill="blue" font-weight="bold">
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Single Attractor
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</text>
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<text x="110" y="195" font-family="Liberation Sans, DejaVu Sans, sans-serif" font-size="9" text-anchor="middle" fill="blue">
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100% locked regime
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</text>
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<text x="110" y="210" font-family="Liberation Sans, DejaVu Sans, sans-serif" font-size="9" text-anchor="middle" fill="blue">
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CV = 0% (zero variance)
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</text>
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</g>
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<!-- Panel 2: W=6144B (Resonance #1, 53% bimodal) -->
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<g transform="translate(350, 80)">
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<text x="110" y="-10" font-family="Liberation Sans, DejaVu Sans, sans-serif" font-size="13" font-weight="bold" text-anchor="middle">
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W = 6144B (Resonance Peak #1)
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</text>
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<!-- Axes -->
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<line x1="0" y1="350" x2="220" y2="350" stroke="black" stroke-width="1.25" />
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<line x1="0" y1="0" x2="0" y2="350" stroke="black" stroke-width="1.25" />
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<!-- X-axis label -->
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<text x="110" y="385" font-family="Liberation Sans, DejaVu Sans, sans-serif" font-size="11" text-anchor="middle">
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K Statistic
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</text>
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<!-- X-axis ticks -->
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<line x1="0" y1="350" x2="0" y2="360" stroke="black" stroke-width="1.25" />
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<text x="0" y="375" font-family="Liberation Sans, DejaVu Sans, sans-serif" font-size="9" text-anchor="middle">0.0</text>
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<line x1="110" y1="350" x2="110" y2="360" stroke="black" stroke-width="1.25" />
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<text x="110" y="375" font-family="Liberation Sans, DejaVu Sans, sans-serif" font-size="9" text-anchor="middle">0.5</text>
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<line x1="220" y1="350" x2="220" y2="360" stroke="black" stroke-width="1.25" />
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<text x="220" y="375" font-family="Liberation Sans, DejaVu Sans, sans-serif" font-size="9" text-anchor="middle">1.0</text>
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<!-- Y-axis ticks -->
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<line x1="-5" y1="350" x2="0" y2="350" stroke="black" stroke-width="1.25" />
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<text x="-10" y="355" font-family="Liberation Sans, DejaVu Sans, sans-serif" font-size="9" text-anchor="end">0</text>
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<line x1="-5" y1="233" x2="0" y2="233" stroke="black" stroke-width="1.25" />
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<text x="-10" y="238" font-family="Liberation Sans, DejaVu Sans, sans-serif" font-size="9" text-anchor="end">10</text>
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<line x1="-5" y1="117" x2="0" y2="117" stroke="black" stroke-width="1.25" />
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<text x="-10" y="122" font-family="Liberation Sans, DejaVu Sans, sans-serif" font-size="9" text-anchor="end">20</text>
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<line x1="-5" y1="0" x2="0" y2="0" stroke="black" stroke-width="1.25" />
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<text x="-10" y="5" font-family="Liberation Sans, DejaVu Sans, sans-serif" font-size="9" text-anchor="end">30</text>
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<!-- Bimodal distribution: 14 runs locked (K≈0.042), 16 runs escaped (K→1.0) -->
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<!-- Locked peak: K=0.042 -> x = 0.042 * 220 = 9.24, count = 14 -->
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<rect x="5" y="187" width="12" height="163" fill="green" stroke="black" stroke-width="1.25" />
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<text x="11" y="180" font-family="Liberation Sans, DejaVu Sans, sans-serif" font-size="10" font-weight="bold" text-anchor="middle">14</text>
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<!-- Escaped peak: K≈0.7-1.0 spread, count = 16 -->
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<!-- Show as gradient/spread from K=0.7 to K=1.0 -->
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<rect x="154" y="233" width="8" height="117" fill="red" fill-opacity="0.5" stroke="black" stroke-width="1.25" />
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<rect x="165" y="233" width="8" height="117" fill="red" fill-opacity="0.6" stroke="black" stroke-width="1.25" />
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<rect x="176" y="175" width="8" height="175" fill="red" fill-opacity="0.7" stroke="black" stroke-width="1.25" />
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<rect x="187" y="233" width="8" height="117" fill="red" fill-opacity="0.8" stroke="black" stroke-width="1.25" />
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<rect x="198" y="233" width="8" height="117" fill="red" fill-opacity="0.9" stroke="black" stroke-width="1.25" />
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<rect x="209" y="292" width="8" height="58" fill="red" stroke="black" stroke-width="1.25" />
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<text x="190" y="165" font-family="Liberation Sans, DejaVu Sans, sans-serif" font-size="10" font-weight="bold" text-anchor="middle" fill="red">16</text>
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<!-- Annotation -->
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<text x="110" y="40" font-family="Liberation Sans, DejaVu Sans, sans-serif" font-size="10" text-anchor="middle" fill="red" font-weight="bold">
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Dual Attractor (Bimodal)
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</text>
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<text x="110" y="55" font-family="Liberation Sans, DejaVu Sans, sans-serif" font-size="9" text-anchor="middle" fill="green">
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47% locked (K≈0.042)
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</text>
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<text x="110" y="70" font-family="Liberation Sans, DejaVu Sans, sans-serif" font-size="9" text-anchor="middle" fill="red">
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53% escaped (K→1.0)
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</text>
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<text x="110" y="85" font-family="Liberation Sans, DejaVu Sans, sans-serif" font-size="9" text-anchor="middle">
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CV = 114%
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</text>
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<!-- Perfect K=1.0 marker -->
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<line x1="220" y1="292" x2="220" y2="350" stroke="gold" stroke-width="3" />
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<text x="220" y="280" font-family="Liberation Sans, DejaVu Sans, sans-serif" font-size="8" text-anchor="middle" fill="gold" font-weight="bold">★</text>
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<text x="220" y="270" font-family="Liberation Sans, DejaVu Sans, sans-serif" font-size="7" text-anchor="middle" fill="gold">K=1.0</text>
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</g>
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<!-- Panel 3: W=16384B (Resonance #2, 47% bimodal) -->
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<g transform="translate(640, 80)">
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<text x="110" y="-10" font-family="Liberation Sans, DejaVu Sans, sans-serif" font-size="13" font-weight="bold" text-anchor="middle">
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W = 16384B (Resonance Peak #2)
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</text>
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<!-- Axes -->
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<line x1="0" y1="350" x2="220" y2="350" stroke="black" stroke-width="1.25" />
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<line x1="0" y1="0" x2="0" y2="350" stroke="black" stroke-width="1.25" />
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<!-- X-axis label -->
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<text x="110" y="385" font-family="Liberation Sans, DejaVu Sans, sans-serif" font-size="11" text-anchor="middle">
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K Statistic
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</text>
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<!-- X-axis ticks -->
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<line x1="0" y1="350" x2="0" y2="360" stroke="black" stroke-width="1.25" />
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<text x="0" y="375" font-family="Liberation Sans, DejaVu Sans, sans-serif" font-size="9" text-anchor="middle">0.0</text>
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<line x1="110" y1="350" x2="110" y2="360" stroke="black" stroke-width="1.25" />
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<text x="110" y="375" font-family="Liberation Sans, DejaVu Sans, sans-serif" font-size="9" text-anchor="middle">0.5</text>
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<line x1="220" y1="350" x2="220" y2="360" stroke="black" stroke-width="1.25" />
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<text x="220" y="375" font-family="Liberation Sans, DejaVu Sans, sans-serif" font-size="9" text-anchor="middle">1.0</text>
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<!-- Y-axis ticks -->
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<line x1="-5" y1="350" x2="0" y2="350" stroke="black" stroke-width="1.25" />
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<text x="-10" y="355" font-family="Liberation Sans, DejaVu Sans, sans-serif" font-size="9" text-anchor="end">0</text>
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<line x1="-5" y1="233" x2="0" y2="233" stroke="black" stroke-width="1.25" />
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<text x="-10" y="238" font-family="Liberation Sans, DejaVu Sans, sans-serif" font-size="9" text-anchor="end">10</text>
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<line x1="-5" y1="117" x2="0" y2="117" stroke="black" stroke-width="1.25" />
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<text x="-10" y="122" font-family="Liberation Sans, DejaVu Sans, sans-serif" font-size="9" text-anchor="end">20</text>
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<line x1="-5" y1="0" x2="0" y2="0" stroke="black" stroke-width="1.25" />
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<text x="-10" y="5" font-family="Liberation Sans, DejaVu Sans, sans-serif" font-size="9" text-anchor="end">30</text>
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<!-- Bimodal distribution: 16 runs locked (K≈0.016), 14 runs escaped (K→1.0) -->
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<!-- Locked peak: K=0.016 -> x = 0.016 * 220 = 3.52, count = 16 -->
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<rect x="1" y="163" width="12" height="187" fill="green" stroke="black" stroke-width="1.25" />
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<text x="7" y="155" font-family="Liberation Sans, DejaVu Sans, sans-serif" font-size="10" font-weight="bold" text-anchor="middle">16</text>
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<!-- Escaped peak: K≈0.6-1.0 spread, count = 14 -->
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<rect x="132" y="233" width="8" height="117" fill="red" fill-opacity="0.5" stroke="black" stroke-width="1.25" />
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<rect x="143" y="233" width="8" height="117" fill="red" fill-opacity="0.6" stroke="black" stroke-width="1.25" />
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<rect x="154" y="187" width="8" height="163" fill="red" fill-opacity="0.7" stroke="black" stroke-width="1.25" />
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<rect x="165" y="233" width="8" height="117" fill="red" fill-opacity="0.8" stroke="black" stroke-width="1.25" />
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<rect x="176" y="233" width="8" height="117" fill="red" fill-opacity="0.9" stroke="black" stroke-width="1.25" />
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<rect x="187" y="233" width="8" height="117" fill="red" fill-opacity="0.7" stroke="black" stroke-width="1.25" />
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<rect x="198" y="233" width="8" height="117" fill="red" fill-opacity="0.6" stroke="black" stroke-width="1.25" />
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<rect x="209" y="292" width="8" height="58" fill="red" stroke="black" stroke-width="1.25" />
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<text x="170" y="175" font-family="Liberation Sans, DejaVu Sans, sans-serif" font-size="10" font-weight="bold" text-anchor="middle" fill="red">14</text>
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<!-- Annotation -->
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<text x="110" y="40" font-family="Liberation Sans, DejaVu Sans, sans-serif" font-size="10" text-anchor="middle" fill="red" font-weight="bold">
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Dual Attractor (Bimodal)
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</text>
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<text x="110" y="55" font-family="Liberation Sans, DejaVu Sans, sans-serif" font-size="9" text-anchor="middle" fill="green">
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53% locked (K≈0.016)
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</text>
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<text x="110" y="70" font-family="Liberation Sans, DejaVu Sans, sans-serif" font-size="9" text-anchor="middle" fill="red">
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47% escaped (K→1.0)
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</text>
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<text x="110" y="85" font-family="Liberation Sans, DejaVu Sans, sans-serif" font-size="9" text-anchor="middle">
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CV = 177%
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</text>
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<!-- Perfect K=1.0 marker -->
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<line x1="220" y1="292" x2="220" y2="350" stroke="gold" stroke-width="3" />
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<text x="220" y="280" font-family="Liberation Sans, DejaVu Sans, sans-serif" font-size="8" text-anchor="middle" fill="gold" font-weight="bold">★</text>
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<text x="220" y="270" font-family="Liberation Sans, DejaVu Sans, sans-serif" font-size="7" text-anchor="middle" fill="gold">K=1.0</text>
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</g>
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<!-- Legend (bottom) -->
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||
<g transform="translate(150, 495)">
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<rect x="0" y="-8" width="12" height="15" fill="blue" stroke="black" stroke-width="1.25" />
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<text x="17" y="4" font-family="Liberation Sans, DejaVu Sans, sans-serif" font-size="10">Single attractor (anti-resonance, locked regime only)</text>
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<rect x="370" y="-8" width="12" height="15" fill="green" stroke="black" stroke-width="1.25" />
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<text x="387" y="4" font-family="Liberation Sans, DejaVu Sans, sans-serif" font-size="10">Locked regime (K ≈ 256/W)</text>
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<rect x="570" y="-8" width="12" height="15" fill="red" stroke="black" stroke-width="1.25" />
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<text x="587" y="4" font-family="Liberation Sans, DejaVu Sans, sans-serif" font-size="10">Escaped regime (K → 1.0)</text>
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</g>
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<!-- Overall annotation -->
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<text x="480" y="465" font-family="Liberation Sans, DejaVu Sans, sans-serif" font-size="11" text-anchor="middle" font-weight="bold">
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Quantum-Analog Phenomenon: Measurement-Induced State Collapse at Resonance
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</text>
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<text x="480" y="480" font-family="Liberation Sans, DejaVu Sans, sans-serif" font-size="10" text-anchor="middle">
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System occupies dual attractors simultaneously with probabilistic tunneling between states
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</text>
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</svg> |
