In literature:
The Scriptures assert invariable natural law, and constantly recurring cycles in nature.
"The Origin of the World According to Revelation and Science" by John William Dawson
The children of these again, the great-grandchildren of the first cycle, will form a fourth.
"The Origin of the Family Private Property and the State" by Frederick Engels
The name of indiction is given to each one of the four weeks of years composing the cycle of 52 years.
"Incidents of Travel in Yucatan, Vol. I." by John L. Stephens
Schumann, unlike Schubert and Mendelssohn, wrote songs often sad and even gloomy, but many of them, especially in his song cycles, are gems.
"The Complete Club Book for Women" by Caroline French Benton
There is at present (February, 1878) the great depression of trade which marks the completion of one cycle and the commencement of a new one.
"Political economy" by W. Stanley Jevons
The duration of this great cycle was variously estimated.
"Principles of Geology" by Charles Lyell
The cycle of Old Testament subjects is equally limited.
"Encyclopaedia Britannica, 11th Edition, Volume 5, Slice 5" by Various
The names of twelve animals denote the duodenary cycle.
"Travels in Tartary, Thibet, and China During the years 1844-5-6. Volume 2 [of 2]" by Evariste Regis Huc
As the days passed I exerted every precaution, yet I followed him everywhere, sometimes using the car, and at others the motor-cycle.
"Spies of the Kaiser" by William Le Queux
Afterwards he sent to let her know that he would be obliged to stay in town till the evening; then he would cycle out.
"Mary" by Bjornstjerne Bjornson
Of the three great cycles of Gaelic literature, the third is the (so-called) Ossianic.
"Library of the World's Best Literature, Ancient and Modern, Vol. VIII" by Various
Heracleitus taught also the doctrine of periodic world-cycles.
"A Critical History of Greek Philosophy" by W. T. Stace
By the side of this individual was seated none other than the immaculate Fanning Harding, in his motor-cycling clothes.
"The Girl Aviators and the Phantom Airship" by Margaret Burnham
This endless cycle of life is also an endless cycle of energy.
"The Mechanism of Life" by Stéphane Leduc
Still, the motor-cycle did give me a chance.
"The Spy in Black" by J. Storer Clouston
The first cycle of operations on the flywheel is now completed.
"Turning and Boring" by Franklin D. Jones
No men are braver, and very few render more important service, than the motor cycle scouts.
"With our Fighting Men" by William E. Sellers
That is, on cycling trips.
"Sweethearts at Home" by S. R. Crockett
A Cycle, which is the subject of my second nominal definition, needs by this time no definition at all.
"Titan: A Romance v. 1 (of 2)" by Jean Paul Friedrich Richter
A short distance behind the motor cycle trailed a runabout with one man in it.
"The Black Star" by Johnston McCulley
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In poetry:
The cycles of time, still murmurs
The story of love each day:
"I held in death the Eternal,
In the long and the far-away."
"Good Friday" by Abram Joseph Ryan
A thousand years are but a day
When reckoned on the wrinkled earth;
And who among the wise shall say
What cycle saw the primal birth
"Fame" by Hanford Lennox Gordon
Oh, life is a glorious cycle of song,
A medley of extemporanea;
And love is a thing that can never go wrong;
And I am Marie of Roumania.
"Comment" by Dorothy Parker
None may know. Through blood-stained cycles
We have thus far made our way:
Of the unknown depths beneath us
We are nothing but the spray.
"Discouragement" by John Lawson Stoddard
With justice, therefore, comes the pain
That o'er the tortured world extends;
And hopeful is the lessening stain,
As each life-cycle ends.
"Reincarnation" by John Lawson Stoddard
This her memorial while the sun
Traverses the blue dome of heaven,
Fulfilling while time's cycles run
Christ's prophecy which then was given.
"Ministering Women" by Nancy Rebecca Campbell Glass
In news:
After taking the dogs for a run on her bike Coco decided the heat was too much and cycled the dogs around the boardwalk in New Jersey on a people carrier.
Custom Built Vincent Black Lightning- Jeff Decker- World's Coolest Bikes – Cycle World.
Falling In, Falling Out: Love's Cycle Of Rebirth .
Salmon life cycle on display.
Robert Lepage's Production of Wagner's Ring Cycle.
Ring Cycle airs on THIRTEEN's Great Performances at the Met September 11th-14th at 8 pm on WTVP-HD.
The Conference Board reports US business cycle on upswing.
Foes of Prospect Park West cycle path threaten new suit.
Antonneau pedals to win in USA Cycling Cyclo- cross championships.
Despite damning USADA report on doping, Lance Armstrong has his backers on cycling tour.
Richard Quest tests out the bicycle-friendly streets of Copenhagen, where they're paving the way for cycling cities.
Cycle Gear Opens in Illinois November 19, 2012.
Benicia, Calif.-based Cycle Gear Inc has opened its 98th retail store in Schaumburg, Ill.
Dead Center Cycles Fairing installed on a Haley-Davidson Heritage Softail.
Breaking the Cycle of Restless Nights.
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In science:
Before describing cycle index techniques for the ﬁnite classical groups, we mention that the cycle index techniques here are modelled on similar techniques for the study of conjugacy class functions on the symmetric groups.
Random matrix theory over finite fields: a survey
G| Xπ∈G Yi≥1 and is called a cycle index because it stores information about the cycle structure of elements of G.
Random matrix theory over finite fields: a survey
This allows one to study conjugacy class functions of random permutations (e.g. number of ﬁxed points, number of cycles, the order of a permutation, length of the longest cycle) by generating functions.
Random matrix theory over finite fields: a survey
We refer the reader to [Ko] for results in this direction using analysis and to [ShLl] for results about cycle structure proved by a probabilistic interpretation of the cycle index generating function.
Random matrix theory over finite fields: a survey
According to Lemma 1.2.6 of James and Kerber (1981), two elements of Sn are conjugate if and only if their cycle types are identical; hence, there is a one-to-one correspondence between these cycle type vectors and conjugacy classes of Sn .
Random walks on wreath products of groups
Moreover, the Hodge cycles on the individual varieties pull-back to give Hodge cycles on the product.
The Hodge Conjecture for general Prym varieties
We say that a graph has bounded fundamental cycle length if there is a set of (oriented simple) cycles of the graph with bounded length that generates all cycles by addition and subtraction (in the sense of homology).
Explicit isoperimetric constants and phase transitions in the random-cluster model
The correlation functions of such observables are identiﬁed with intersection numbers of homology cycles, represented by the observables, in [e(V)], where [e(V)] denotes the cycle in M Poincar´e dual to the Euler class e(V) of the anti-ghost bundle V over M.
Higgs Bundles and Four Manifolds
The canonical pro jection ˜p : π1 ( ˜X ) → π1 ( ˜X )ab ∼= H1 ( ˜X ) maps non of the generators of π1 ( ˜X ) to the homology cycle that corresponds to the singular cycle in D1 .
Singular sets and parameters of generalized triangle orbifolds
This in turn has an effect on the magnitude of the toroidal ﬁeld produced in the next cycle and over many cycles this mechanism ensures that the solutions converge to a stable oscillation with a non-growing amplitude of the magnetic ﬁelds.
Characteristics Of A Magnetic Buoyancy Driven Solar Dynamo Model
Thus, cycles of P are vertices, cycles of (−) are edges and faces correspond to cycles of the permutation P (−).
Gibbs and Quantum Discrete Spaces
Nontrivial topology (cycles) appears on a larger scale: typical length of cycles tends to ∞ as N → ∞, see below.
Gibbs and Quantum Discrete Spaces
In all graph the number of independent cycles is ( p 2 − 1)N − 1, that follows from Euler formula V − L + M = 1, where M is the number of independent cycles.
Gibbs and Quantum Discrete Spaces
A path P in D is a T -valid cycle if it is a closed, repetition-free path in D and a T -valid path. A subset F of D is a sub-domain of D if there exists a tiling T of D and a T -valid cycle C such that C is the contour path of F .
An algorithm to generate exactly once every tiling with lozenges of a domain
Any cycling of the state sequence causes a cycling of the output sequence with period at most p. A particularly worrisome problem is the possibility that i0 and p may be unexpectedly small, and therefore the cycling point i0 + p is actually achieved.
Guaranteeing the diversity of number generators
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