When some effort at fulfilling some reparation condition fails, it must be repeated, usually by someone else after some intervening time-period ; history therefore exhibits a cyclic pattern.

Keywords shorter than the message ( e. g., " Complete Victory " used by the Confederacy during the American Civil War ), introduce a cyclic pattern that might be detected with a statistically advanced version of frequency analysis.

Ibn Khaldun felt that many social forces are cyclic, although there could be sudden sharp turns that break the pattern.

When some effort at fulfilling some reparation condition fails, it must be repeated, usually by someone else after some intervening time-period ; history therefore exhibits a cyclic pattern.

Russell Davies, British film critic and later a BBC radio host, compared the film to the work of Thornton Wilder and Dylan Thomas: " The pattern is cyclic ... A year in the life of a coastal village, with due emphasis on the seasons, and the births, marriages and deaths.

The main driver of this cyclic pattern is thought to be the parasitic nematode worm Trichostrongylus tenuis.

This variation has a cyclic pattern formed from multiple overlapping frequencies, with the dominant frequencies being 3. 257 and 3. 282 cycles per day.

Marco, in the family cyclic pattern, doesn't know that Barber is his father.

Like PMS, premenstrual dysphoric disorder follows a predictable, cyclic pattern.

The visual trigger for a seizure is generally cyclic, forming a regular pattern in time or space.

In some cases, the trigger must be both spatially and temporally cyclic, such as a certain moving pattern of bars.

This pattern of septal insertion is termed " cyclic " by paleontologists.

Fed by a large snowfield at high altitude, it exhibits a cyclic pattern of advance and retreat, driven by differences between the volume of meltwater at the foot of the glacier and volume of snowfall feeding the névé.

Neurons in this region project to a specific subcortical nucleus in which a pattern generator coordinates the cyclic rhythm of the whiskers.

* Cyclical and seasonal trends – This method focuses on previous data to help define a pattern or trend that occurs in cyclic or seasonal periods.

Rutile, aragonite, cerussite, and chrysoberyl often exhibit cyclic twinning, typically in a radiating pattern.

Central to the development of reflective theory was interest in the integration of theory and practice, the cyclic pattern of experience and the conscious application of that learning experience.

Permutations are often written in cyclic form so that given the set M =

The notion of biorhythms, a classic example of pseudoscience, which attempts to describe a set of cyclic variations in human behavior based on physiological and emotional cycles, is not a part of chronobiology.

* The precision of the cyclic rate of fire, the fuze length had to be calculated and set for where the target would be at the time of flight after firing, to do this meant knowing exactly when the round would fire.

Lassus often preferred cyclic madrigals, i. e. settings of multiple poems in a group as a set of related pieces of music.

* Introduces the notion of the Schwartz set at the end of the paper as a possible alternative to maximization, in the presence of cyclic preferences, as a standard of rational choice.

Moreover, the axioms assume that the vacuum is " cyclic ", i. e., that the set of all vectors which can be obtained by evaluating at the vacuum state elements of the polynomial algebra generated by the smeared field operators is a dense subset of the whole Hilbert space.

For a representation π of a C *- algebra A on a Hilbert space H, an element ξ is called a cyclic vector if the set of vectors

Combining this work with a result of William Thurston, Cameron Gordon assembled a proof of the Smith conjecture: for any cyclic group acting on a sphere, the set of fixed points is not a knotted curve.

( A gat is a composition set to a cyclic rhythm.

* Suppose that is the infinite cyclic group and the set S consists of the standard generator 1 and its inverse (− 1 in the additive notation ) then the Cayley graph is an infinite chain.

* Similarly, if is the finite cyclic group of order n and the set S consists of two elements, the standard generator of G and its inverse, then the Cayley graph is the cycle.

A finite G-set is then a finite set X on which G acts through a quotient finite cyclic group, so that it is specified by giving some permutation of X.

Any four exterior vertices determine a cyclic quadrilateral, and all cyclic quadrilaterals are convex quadrilaterals, so each set of four exterior vertices have exactly one point of intersection formed by their diagonals ( chords ).

In mathematics, a cyclic order is a way to arrange a set of objects in a circle.

A set with a cyclic order is called a cyclically ordered set or simply a cycle.

A cyclic order on a set with elements is like an arrangement of on a clock face, for an-hour clock.

A cycle with elements can be even more succinctly defined as a-torsor: a set with a free transitive action by a finite cyclic group.

Two elements and of the free group on a set are conjugate if and only if, when they are written as products of elements and with in, and then those products are put in cyclic order, the cyclic orders are equivalent under the rewriting rules that allow one to remove or add adjacent and.

A cyclic order on a set can be determined by a linear order on, but not in a unique way.

The general definition is as follows: a cyclic order on a set is a relation, written, that satisfies the following axioms:

Given a linear order on a set, the cyclic order on induced by is defined as follows:

The mind-stuff is not spread in space and time ; these are part of the cyclic scheme ultimately derived out of it ….

In a cyclic process in which the system does work on its surroundings, it is necessary that some heat be taken in by the system and some be put out, and the difference is the heat consumed by the system in the process.

Cutting a single point out of a cyclic order leaves a linear order behind.

If the order of a group G is relatively small and the subgroup H is known to be uncomplicated ( for example, a cyclic group ), then the algorithm can be carried out by hand and gives a reasonable description of the group G. Using their algorithm, Coxeter and Todd showed that certain systems of relations between generators of known groups are complete, i. e. constitute systems of defining relations.

Since cyclic voltammetry usually alters the charge of the analyte it is common for reduced or oxidized analyte to precipitate out onto the electrode.

When encountering settling with power, pilots are taught to apply forward cyclic to fly out of the condition or lowering collective pitch.

In such a helicopter, which utilizes differential collective pitch in order to gain airspeed, lateral cyclic inputs must be made accompanied by pedal inputs in order to slide horizontally out of the vortex ring state's disturbed air.

In 1887, H. Köhler and A. Michaelis reported the isolation of a compound that was thought to be the phosphorus analogue of azobenzene, ( PhN = NPh ), but it later turned out that their product was the cyclic pentamer with P-P single bonds.