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The s-step Adams–Bashforth method has order s, while the s-step Adams–Moulton method has order + (Hairer, Nørsett & Wanner 1993, §III.2). These conditions are often formulated using the characteristic polynomials ρ ( z ) = z s + ∑ k = 0 s − 1 a k z k and σ ( z ) = ∑ k = 0 s b k z k . {\displaystyle \rho (z)=z^{s}+\sum _{k=0}^{s-1 ...
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Standard-quality 32 768 Hz resonators of this type are warranted to have a long-term accuracy of about six parts per million (0.0006%) at 31 °C (87.8 °F): that is, a typical quartz clock or wristwatch will gain or lose 15 seconds per 30 days (within a normal temperature range of 5 to 35 °C or 41 to 95 °F) or less than a half second clock ...
He started work at the National Physical Laboratory (NPL) the following year, under D. W. Dye, investigating the potential of tuning forks and quartz crystal oscillators for precise time measurement. His research led to his development of the quartz ring clock in 1938, the clock soon becoming a standard for time measurement at observatories ...
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The tower clock of Norwich Cathedral constructed c. 1273 (reference to a payment for a mechanical clock dated to this year) is the earliest such large clock known. The clock has not survived. [ 95 ] The first clock known to strike regularly on the hour, a clock with a verge and foliot mechanism, is recorded in Milan in 1336. [ 96 ]
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In order to reduce the pendulum's swing to make it more isochronous, the French used larger pallet angles, upward of 115°. [36] This reduced the pendulum swing to around 50° and reduced recoil (below), but required the verge to be located so near the crown wheel that the teeth fell on the pallets very near the axis, reducing initial leverage ...
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