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...arted, or the time since a particular event occurred in the program. Those clocks are used in the definition of [[timed automaton]], [[signal automaton]], [[ ...re synchronized. That means that the difference in value between two fixed clocks is constant until one of them is restarted. In the language of electronics, ...

...calability problems in some settings, but can be replaced by Interval Tree Clocks. ..., pp. 259-274, Springer, 2008.</ref> generalize version vectors and vector clocks and allows dynamic numbers of replicas/processes. ...

..., when those vectors are considered as a tuple of [[clock (model checking)|clocks]], both vectors have the same set of possible futures. Intuitively, it mea ...clock <math>x</math> can be compared. The definition of a region over the clocks of <math>C</math> uses those numbers <math>c_x</math>'s. Three equivalent ...

...ming and require expensive equipment. With an indirect approach of radical clocks, one can still obtain relative or absolute rate constants without the need ...s is their ability to rearrange.<ref name="Johnson" /> Some common radical clocks are radical cyclizations, ring openings, and 1,2-migrations.<ref name="Gril ...

...roduced and compared to constants. Formally, given a set <math>X</math> of clocks, {{clarify span|MTL|reason=Should be 'TPTL'? MTL is discussed in a later se ...ator <math>x.\phi</math>, for <math>\phi</math> a TPTL formula with set of clocks <math>X\cup\{x\}</math>. ...

...nd by doing so constrain the possible behaviors of the automaton. Further, clocks can be reset. Timed automata are a sub-class of a type [[hybrid automaton|h * <math>C</math> is a finite set called the ''[[clock (model checking)|clocks]]'' of <math>\mathcal A</math>. ...

{{cite journal |last=Cohen |first=J.M. |author2=Mashhoon, B. |title= Standard Clocks, Interferometry, and Gravitomagnetism |journal= Physics Letters A|date=Octo ...author3=Theiss, D.S. |title = On measuring gravitomagnetism via spaceborne clocks: a gravitomagnetic clock effect |date=February 1999 |journal = Annalen der ...

...nd by doing so constrain the possible behaviors of the automaton. Further, clocks can be reset. <ref name="Time">{{cite journal |last1=Brihaye |first1=Thomas * <math>C</math> is a finite set called the ''[[clock (model checking)|clocks]] of <math>\mathcal A</math>. ...

[[Category:Clocks]] ...

...:0" /> is a [[finite automaton]] extended with a finite set of real-valued clocks. During a run of a timed automaton, clock values increase all with the same ...>\mathbb R_{\ge 0}^{|X|}</math>, with <math>|X|</math> being the number of clocks. Given a clock valuation <math>\nu</math>, let <math>c(a,\ell,\nu)</math> b ...

...really irrelevant until people started comparing sundials with mechanical clocks, which must either ignore the consequences or be re balanced each day to ma ...d solar time shown by sundials and also the mean time that is displayed by clocks,<ref>{{Harvp|Waugh|1973|p=9}}</ref> with the practical purpose that observe ...

Two independent clocks, once synchronized, will walk away from one another without limit.<ref name ...ournal|url=http://www.4timing.com/SyncGPS.pdf |title=In Sync with GPS: GPS Clocks for the Wireless Infrastructure |author1=Peter Kuykendall |author2=Dr. Pete ...

...r. This protocol utilizes time stamps, but does not depend on synchronized clocks. ...

...und radiation|CMB]]) and using the clocks of this frame to synchronize the clocks in all other frames ("absolute" synchronization). ..., G. | title = Test of relativistic time dilation with fast optical atomic clocks at different velocities| journal=Nature Physics|volume = 3| issue = 12| pag ...

...nd emerging atomic and quantum technologies, such as [[Atomic clock|atomic clocks]], [[Quantum computing|quantum computers]], and [[Quantum sensor|quantum se ...ite journal |last=Ludlow |first=Andrew D. |date=2015 |title=Optical atomic clocks |url=https://journals.aps.org/rmp/abstract/10.1103/RevModPhys.87.637 |journ ...

...Geometrical demonstrations concerning the motion of pendula as applied to clocks)|last2=Blackwell|first2=Richard J., trans.|date=1986|publisher=Iowa State U Much more than a mere description of clocks, Huygens's {{lang|la|Horologium Oscillatorium}} is the first modern treatis ...

...ment|measured]] independently of a convention as to how to synchronize the clocks at the source and the [[detector]]. What can however be experimentally meas ...easure the speed of light, but rather compare two internal frequencies or clocks. Therefore, such experiments are sometimes called "clock anisotropy experim ...

{{Short description|Effect that limits performance of advanced atomic clocks}} ...ct") is an important limitation to frequency stability for modern [[atomic clocks]] such as [[atomic fountain]]s and [[optical lattice clock]]s. It is an ali ...

The satellites' atomic clocks experience noise and [[clock drift]] errors. The navigation message contain ...n introduced by general relativity is [[gravitational time dilation]]: the clocks located deeper in the gravitational potential well (i.e. closer to the attr ...

...nts happening at different places can be measured as simultaneous if those clocks show the same times. In [[special relativity]], the space distance element ...le:Synchronization.svg|250px|left|thumb|'''Figure 1.''' Synchronization of clocks in curved space through light signals.]] ...