Phase, cycle count and clock display

Theory · FOUNDATIONEquation version 1.0.0

Based on the final manuscript · Chapters 1–2

\begin{aligned}N&=\int_{u_a}^{u_b}f(u)\,\mathrm du,\\ \Delta\vartheta&=2\pi N,\qquad t_{\mathrm{disp}}=\frac{N}{f_{\mathrm{ref}}}.\end{aligned}

u is an agreed reference counting parameter; f(u) is actual oscillator frequency relative to it. f_ref is the fixed calibration frequency used for the display. Accumulated phase is ϑ, distinct from the motion angle φ and long-range stretch potential varphi.
Chapter reference: Final consolidated manuscript · Chapter 2, §I.1, counting and phase interpretation; website operational elaboration, no manuscript number · ASD-BOOK-ddbade997b45

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ASD-WEB-TIME-003 is the stable website equation ID. It retains existing links and does not replace the manuscript reference. Use the copy button to obtain LaTeX.

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Final consolidated manuscript · Chapter 2, §I.1, counting and phase interpretation; website operational elaboration, no manuscript number

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Positive speed along the path; stationary intervals use another reference process
Distinguish actual frequency f from display calibration f_ref

Source locators: p0554 · p0558

Manuscript SHA-256: ddbade997b45913248e588953b1d27ccb9c7c206c3c8d992d3aef2364a64836e

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FND-3dde8d8e081d · 第二章 §一.1 的计数含义；网站操作展开，无原始式号

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