Temperature excursion: difference between revisions
Diff·revision 31 → 32·12:57, 20 Aug 2025
Difference between revision 31 and revision 32 of Temperature excursion. 2 lines changed; the page grew by 5 bytes.
| Revision 31 — 14:48, 14 Aug 2025 Peptide_Pete (talk) convert list to prose 13,899 bytes +485 | Revision 32 — 12:57, 20 Aug 2025 CategoryBot (talk) bot: update parent category chain 13,904 bytes +5 | ||
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| 85 | {{math|e^{−33.8811} × (96 + 624 × 0.1261) ÷ 720 = e^{−33.8811} × 174.7 ÷ 720 = e^{−33.8811} × 0.2426}} | 85 | {{math|e^{−33.8811} × (96 + 624 × 0.1261) ÷ 720 = e^{−33.8811} × 174.7 ÷ 720 = e^{−33.8811} × 0.2426}} |
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| 87 | === Why the two means diverge === | 89 | === Why the two means diverge === |
| 88 | The divergence is a direct consequence of convexity. Degradation rate is a convex function of temperature, so the average of the rates at two temperatures exceeds the rate at their average temperature. Mean kinetic temperature is defined as the temperature whose rate equals the average rate, and therefore always lies at or above the time-weighted arithmetic mean, with equality only for a constant profile. | 90 | The divergence is a direct consequence of convexity. Degradation rate is a convex function of temperature, so the average of the rates at two temperatures exceeds the rate at their average temperature. Mean kinetic temperature is defined as the temperature whose rate equals the average rate, and therefore always lies at or above the time-weighted arithmetic mean, with equality only for a constant profile. |