# Technical Document Extraction ## Image Description The image contains two side-by-side line charts comparing "Relative upper bound" values across varying "Relative distance" for different base values. Both charts use color-coded lines to represent distinct base magnitudes, with legends positioned on the right side of each chart. --- ## Chart 1: Base Values 1e2, 1e3, 1e4 ### Axes - **X-axis**: Relative distance (0 to 4000) - **Y-axis**: Relative upper bound (2.5 to 15.0) ### Legend - **Blue**: base:1e4 - **Green**: base:1e2 - **Orange**: base:1e3 ### Line Trends 1. **Blue (1e4)**: - Starts at ~15.0 at x=0 - Drops sharply to ~5.0 by x=1000 - Stabilizes with minor oscillations (~5.0–7.5) between x=1000–4000 2. **Green (1e2)**: - Starts at ~12.5 at x=0 - Drops sharply to ~5.0 by x=1000 - Stabilizes with oscillations (~5.0–7.5) between x=1000–4000 3. **Orange (1e3)**: - Starts at ~10.0 at x=0 - Drops sharply to ~5.0 by x=1000 - Stabilizes with oscillations (~5.0–7.5) between x=1000–4000 ### Key Observations - All lines exhibit a steep initial decline followed by stabilization. - The 1e4 (blue) line has the highest initial value and slowest decline. - Oscillations increase in amplitude for all lines as relative distance increases. --- ## Chart 2: Base Values 1e4, 1e5, 1e6 ### Axes - **X-axis**: Relative distance (0 to 30,000) - **Y-axis**: Relative upper bound (5.0 to 15.0) ### Legend - **Blue**: base:1e4 - **Green**: base:1e5 - **Orange**: base:1e6 ### Line Trends 1. **Blue (1e4)**: - Starts at ~15.0 at x=0 - Drops sharply to ~5.0 by x=1000 - Stabilizes with oscillations (~5.0–10.0) between x=1000–30,000 2. **Green (1e5)**: - Starts at ~10.0 at x=0 - Drops sharply to ~5.0 by x=1000 - Stabilizes with oscillations (~5.0–10.0) between x=1000–30,000 3. **Orange (1e6)**: - Starts at ~15.0 at x=0 - Drops sharply to ~5.0 by x=1000 - Stabilizes with oscillations (~5.0–10.0) between x=1000–30,000 ### Key Observations - All lines show a similar sharp decline pattern but with extended oscillations. - The 1e6 (orange) line has the most pronounced oscillations. - The 1e5 (green) line starts lower than the others but stabilizes similarly. --- ## Cross-Chart Comparison | Base Value | Initial Y-Value | Stabilization Range | Oscillation Amplitude | |------------|------------------|----------------------|------------------------| | 1e2 (Chart 1) | ~12.5 | 5.0–7.5 | Low | | 1e3 (Chart 1) | ~10.0 | 5.0–7.5 | Moderate | | 1e4 (Chart 1) | ~15.0 | 5.0–7.5 | Moderate | | 1e4 (Chart 2) | ~15.0 | 5.0–10.0 | High | | 1e5 (Chart 2) | ~10.0 | 5.0–10.0 | High | | 1e6 (Chart 2) | ~15.0 | 5.0–10.0 | Very High | --- ## Notes - All data points are in English; no non-English text detected. - No embedded tables or diagrams beyond the two line charts. - Spatial grounding confirms legends are consistently placed on the right for both charts. - Trends align with legend labels: higher base values correlate with higher initial Y-values and more pronounced oscillations.