A cycle is anything round, in the physical sense (e.g. a This racing bicycle is built using lightweight, shaped aluminum tubing and carbon fiber stays and forks. It sports a drop handlebar and thin tires and wheels for efficiency and aerodynamics This mountain bicycle features oversized tires, lights, a sturdy frame, front shock absorbers, and handlebars oriented perpendicular to the bike... bicycle) or in a temporal sense (e.g. the cycle of the seasons). Cyclic or cyclical are the adjective forms. Pages about cycles include:

• Cycles are series of states or conditions that repeat themselves, usually after a regular or nearly regular period. Cyclic behaviour is one kind — the simplest, one could say — of oscillation. The standard mathematical model of a cycle is the periodic function. Cycles may be due to restorative forces... Cycle studies for interdisciplinary cycle research. See also [Edward R.] Dewey, one of the pioneers of cyclic analysis, with Og Mandino [wrote a book] titled Cycles: The Mysterious Forces That Trigger Events. Thousands of seemingly unrelated cycles were isolated spanning hundreds, and in some cases, thousands of years. In 1941, Dewey organized the Foundation for the Study of... Foundation for the Study of Cycles and Below is a listing of cycles. See also time and pattern. Measuring physical cycles Hertz General listing of waves List of wave topics Mathematics of waves and cycles Almost periodic function - Amplitude modulation - Amplitude - Beat - Chaos theory - Diffraction - Doppler effect - Eigenstate - Eigenvalue - Fourier series - Frequency domain - Frequency spectrum - George Gabriel... list of cycles
• Historians from Polybius to Giambattista Vico and Karl Marx have entertained the notion that history moves in definite cycles. Polybius referred to political cycles, Vico believed in a three cycle-pattern based on divine intervention, and Marx believed in an economic viewpoint for history. Fomenkos new chronology claim that... Cyclical patterns in history.
• The The indiction cycle is a Roman tax cycle of 15 years declared by Constantine the Great. It is of interest to historians, as dates often were recorded using this cycle. It is also used in establishing the epoch for the Julian day. The first indiction cycle began on September 1... Indiction cycle is a Roman tax cycle of 15 years.
• In physics, the The CNO (carbon-nitrogen_oxygen) cycle is one of two fusion reactions by which stars convert hydrogen to helium, the other being the proton-proton chain. While the proton-proton chain is more important in stars the size of the sun or less, theoretical models show that the CNO cycle is... CNO cycle is a type of fusion reaction. The The Rabi cycle is a term from the field of quantum optics. When an atom (or some other two-level system) is illuminated by a coherent beam of photons, it will cyclically absorb photon and re-emit them by stimulated emission. One such cycle is called a Rabi cycle and... Rabi cycle is a term in quantum optics.
• The In telecommunication, the term duty cycle has the following meanings: 1. In an ideal pulse train, , one having rectangular pulses, the ratio of the pulse duration to the pulse period. Note: For example, the duty cycle is 0.25 for a pulse train in which the pulse duration is 1... duty cycle in telecommunication.
• The The Rapid Update Cycle (RUC) is an atmospheric prediction system that consists primarily of a numerical forecast model and an analysis system to initialize the model. The RUC was designed to provide accurate short-range (0- to 12-hr) numerical forecast guidance for weather-sensitive users, such as those in... Rapid Update Cycle for weather forecast.
• The This article or section should be merged with Orbital forcing Milankovitch cycles is the name given to the collective effect of changes in the Earths movements upon its climate. The eccentricity, axial tilt, and precession of the Earths orbit vary in several patterns, resulting in 100,000 year... Milankovitch cycles in paleo-climatology.
• The The OODA Loop is a concept originated by military strategist Col. John Boyd (USAF). It consists of four overlapping and interacting processes: Observation Orientation Decision Action It is also known as the decision cycle, Boyd cycle or the OODA cycle. It has become an important concept in business and military... Boyd cycle in military strategy.
• The The nuclear fuel cycle consists of front end steps that lead to the preparation of uranium for use as fuel for reactor operation and back end steps that are necessary to safely manage, prepare, and dispose of the highly radioactive spent nuclear fuel. Front End Exploration A deposit of uranium... Nuclear fuel cycle.
• During World War II, Operation Cycle was the evacuation of Allied troops from Le Havre, France in June, 1940. See Dynamo and Ariel. Categories: Stub | World War II operations and battles of France ... Operation Cycle during World War II.
• In voting systems, the Smith set is the smallest set of candidates in a particular election who, when paired off in pairwise elections, can beat all other candidates outside the set. Ideally, this set consists of only one candidate, the Condorcet winner. However, when the electorate is conflicted (as in... Top cycle, a notion in voting systems.
• Eric Davis hit for the cycle in 1989 Hitting for the cycle is a baseball accomplishment characterized by a player hitting a single, a double, a triple and a home run in the same game, though not necessarily in that order. Collecting the hits in that order is known as... Hitting for the cycle in Baseball.
• The According to Chinese political theory, every dynasty goes through the so-called dynastic cycle: A new ruler unites China and founds a new dynasty. China, under the new dynasty, achieves prosperity and a new golden age. The royal family of the dynasty begins to decay, corruption becomes rampant in the... dynastic cycle in Chinese political theory.
• The The sexagesimal cycle in China is composed of two series that paired with one another. The 10 Heavenly Stems (十干; pinyin: shi gan) are paired with the 12 Earthly Branches (十二支; pinyin: shi er zhi) giving rise to 60 combinations. Ten Heavenly Stems 甲 jia3 first 乙... Sexagesimal cycle in Chinese philosophy and calendar.
• The The instruction cycle is the time period during which one instruction is fetched from memory and executed when a computer is given an instruction in machine language. There are typically four stages of an instruction cycle that the CPU carries out: Fetch the instruction from memory. This step brings the... Instruction cycle in a CPU.
• The The monomyth is the cyclical journey undertaken by the standard mythological hero as described by Joseph Campbell in his book The Hero With a Thousand Faces. The core concept of the monomyth is: A hero ventures forth from the world of common day into a region of supernatural wonder: fabulous... monomythic cycle of the hero.

• In arts,
  • In Cycle (music) - Wikipedia /**/ @import /skins/monobook/IE50Fixes.css; @import /skins/monobook/IE55Fixes.css; @import /skins/monobook/IE60Fixes.css; /**/ Cycle (music) From Wikipedia In music a cycle is a section which is repeated or repeatable indefinitely, with the end of a preceding repetition leading to the beginning of a succeeding repetition... music: In music, interval cycles, unfold a single recurrent interval in a series that closes with a return to the initial pitch class, and are notated by George Perle using the letter C, for cycle, with an interval class integer to distinguish the interval. Thus the diminished seventh chord would be... Interval cycle and A song cycle is a group of songs designed to be performed in sequence as a single entity. Usually all of the songs are by the same composer and use words from the same poet. A song cycle is unified by reference to a particular theme or by telling a... song cycle in music. Also in music, the In music theory, the circle of fifths is a model of pitch space and is the series encompassing all of the notes in the equally tempered chromatic scale. Starting on any note and repeatedly ascending by the musical interval of a perfect fifth, one will eventually land on the same... cycle of fifths.
  • A Literary cycles are groups of stories grouped around common figures, based on mythical figures or loosely on historic ones. One well known such cycle is the Arthurian cycle, the stories of King Arthur, Lancelot and the Knights of the Round Table. Another cycle that is frequently drawn upon centers around... literature cycle, e.g. The Ring of the Nibelung or, in the original German, Der Ring des Nibelungen, is a series of four epic operas. Both the libretto and the music were written by Richard Wagner over the course of twenty-six years, from 1848 to 1874. The four operas in the Ring cycle... The Ring Cycle (more examples there).
  • A The sonnet cycle is a series of sonnets usually on a given theme, dedicated to a particular individual, or both. As such, it is designed to be read both as a whole, and with each constituent sonnet as an individual poem in its own right. It may have any theme... sonnet cycle (examples there).
  • The Cremaster Cycle is a sequence of five films by Matthew Barney, entitled Cremaster 1 to Cremaster 5. They are named after the cremaster muscle. Contents // Categories: Stub ... The Cremaster Cycle, a sequence of five films by Matthew Barney.
  • The Baroque Cycle is a series of books written by Neal Stephenson and published in 2003 and 2004. The cycle contains eight novels which are published in three volumes: Quicksilver, Vol. I of the Baroque Cycle Book 1 - Quicksilver Book 2 - The King of the Vagabonds Book 3 - Odalisque The... The Baroque Cycle, a series of books written by Neal Stephenson.
  • The The Pendragon Cycle is a series of fantasy or semi-historical books based on the Arthurian legend, written by Stephen R. Lawhead. They are: Taliesin (1987) Merlin (1988) Arthur (1989) Pendragon (1994) Grail (1997) Avalon (1999) The Cycle was originally the Pendragon Trilogy, but after Arthurs rather abrupt ending... Pendragon Cycle, a series of books written by Stephen R. Lawhead.
  • Middle English poem written c. 1315. Categories: Substubs | Middle English literature ... Northern Homily Cycle, a poem from the 14th century
  • Break The Cycle is Stainds 3rd album. It was released on May 8, 2001. Break The Cycle was a huge success for Staind, spending several weeks at No. 1 in the US album charts. The albums theme is somewhat moody, even depressing, but features some excellent guitar and... Break The Cycle, Staind's 3rd album.

• In astronomy,
  • The Eclipses may occur repeatedly, separated by some specific interval of time: this interval is called an eclipse cycle. The series of eclipses is called an eclipse series. General explanation Eclipse conditions Eclipses may occur when the Earth and Moon are on one line with the Sun, and the shadow of... eclipse cycle and the A Saros cycle is a period of 6585 + 1/3 days (approximately 18 years 10 days and 8 hours) which can be used to predict eclipses of the sun and the moon. Every saros the Sun, the Earth and the Moon return to approximately the same places, therefore, almost identical... Saros cycle.
  • The Categories: Stub | Stellar phenomena | Solar phenomena ... solar cycle related to sunspots.
  • The The full moon cycle (the abbreviation fumocy was introduced by Karl Palmen in the CALNDR-L mailing list in October 2002) is a cycle of about 14 lunations over which full moons vary in apparent size. Also in the same cycle the age of the full moon (time since new... full moon cycle.
  • The The Metonic cycle or Enneadecaeteris in astronomy and calendar studies is a particular approximate common multiple of the tropical year and the synodic month. 19 tropical years differ from 235 synodic months by about 2 hours. 19 tropical years = 6939.602 days 235 synodic months = 6939.688 days This approximation... Metonic cycle in calendars.
  • The The Sothic cycle is a period of 1461 years, the calculated time that it takes the 365-day year of the ancient Egyptians to lose enough time that it the start of its year would once again coincide with the rising of the star Sirius. This rising was believed to... Sothic cycle in the ancient Egyptian calendar.

• Bicycle related meanings include
  • This racing bicycle is built using lightweight, shaped aluminum tubing and carbon fiber stays and forks. It sports a drop handlebar and thin tires and wheels for efficiency and aerodynamics This mountain bicycle features oversized tires, lights, a sturdy frame, front shock absorbers, and handlebars oriented perpendicular to the bike... Bicycle, A customised Harley-Davidson trike A tricycle is a three-wheeled vehicle. Often they are human powered, similar to a bicycle, but with three wheels. There are also motorized tricycles, similar to motorcycles (however, sidecars are not considered tricycles). Tricycle is commonly shortened to Trike. These wheels can be arranged... tricycle and A juggler riding a unicycle A unicycle is a one-wheeled human powered vehicle. Unicycles are similar to, but less complex than, bicycles. This topic is covered in a lot more depth at Wikibooks:The Unicyclopedia. Construction Unicycles comprise a few key parts: the wheel and hub(axle), the frame... unicycle. See also Freight bicycles or Freight tricycles are human powered vehicles designed and constructed specifically for transporting large loads. Vehicle designs usually include a cargo handling area consisting of an enclosed box (cabinet), a flat platform, or a wire bracket basket. These may be mounted between parallel wheels at either the front... Freight bicycle.
  • A motorcycle (or motorbike) is a two-wheeled vehicle powered by an engine. The wheels are in-line, and at higher speed the motorcycle remains upright and stable by virtue of gyroscopic forces; at lower speeds continual readjustment of the steering by the rider gives stability. The rider sits astride... Motorcycle.
  • The Begun in 1896, Paris-Roubaix, third of the ten UCI World Cup races, has become the most famous single-day bicycle road race. Paris-Roubaix is one of the Classics and carries the nickname Queen of Classics or La Pascale, the Easter race. Held annually in the mid-April rainy... Paris-Roubaix Cycle Race.
  • A This article or section should include material from Cycle path debate Segregated cycle facilities may consist of a separate road, track, path or lane that is designated for use by cyclists and from which motorised traffic is generally excluded. Cycleway, Bicycle street and Pedestrian/Cyclist bridge in N rnberg, Germany... cycle path and (in Britain), the This article or section should be merged with NCN C2C The Sea to Sea Cycle Route (C2C) is Britains most popular long-distance cycle route and is based on minor roads, disused railway lines, off-road tracks and specially constructed cycle paths. At 140 miles long, the route is... Sea to Sea Cycle Route and the The fist section of the NCN to be built was the Bristol and Bath Railway Path. The National Cycle Network is a network of cycle routes that cover most of the mainland United Kingdom. The routes are chosen to minimise contact with normal traffic, for example by using former pedestrian... National Cycle Network.
  • The Wright Cycle Shop at Greenfield Village The Wright Cycle Company (formerly Wright Cycle Exchange) owned and operated five bicycle shops where Orville and Wilbur Wright designed and built Van Cleve and bicycles from 1892 to 1909. They invented self-oiling hubs and initiated the practice of machining the crankarm and... Wright Cycle Company which funded the brothers' Wright aviation experiments.

• Biological meanings include
  • The A life cycle includes the major sexual stages of a species, especially in regard to its ploidy. There are three types of cycles: zygotic meiosis, gametic meiosis, and sporic meiosis. All sexual cycles feature the alternating haploid and diploid phases (n and 2n). The haploid organism becomes diploid through fertilizations... life cycle;
  • The The reproduction of many organisms follows a cyclical pattern, known as the reproductive cycle, which regulates the conception and birth of offspring. Many animals, including salmon, birds, deer and turtles synchronize their reproduction with the seasons in order to optimize the chance of survival for their young. Humans and other... reproductive cycle;
  • The The cell cycle is the cycle of events in a eukaryotic cell from one cell division to the next. It consists of interphase, mitosis, and usually cell division. The cell cycle is regulated by cyclins and cyclin-dependent kinases. Leland H. Hartwell, R. Timothy Hunt, and Paul M. Nurse won... cell cycle;
  • The The Circadian rhythm is a name given to the internal body clock that regulates the (roughly) 24 hour cycle of biological processes in animals and plants. (The term circadian comes from the Latin circa, meaning around and dies, day, meaning literally, around the day). Humans have been aware of these... sleep cycle;
  • The The lytic cycle is one of the two cycles of viral reproduction, the other being the lysogenic cycle. These cycles should not, however, be seen as discrete and separate, but rather as somewhat interchangeable. The lytic cycle is typically thought of as the main method of viral replication, since it... lytic cycle related to viruses;
  • The Honeybees are social insects that live in a colony. As such, the honeybee life cycle depends greatly on this social structure. Honeybee swarm pitched on a high limb Colony life Unlike a bumble bee colony or a wasp colony the life of the honeybee colony is perenial. There are three... honeybee life cycle;
  • The Juvenile eels Leptocephalus larvae of an ocean eel The story of the eel was a mystery for a long time and many questions still remain. Aristotle did the first known research on eels, stating that they are born of earth worms, which emerged from the mud with no fertilization needed... eel life cycle;
  • The Earthworm is the common reference for the larger members of the Oligochaeta (which is either a class or subclass depending on the author) in the phylum Annelida. In classical systems they were placed in the order Opisthopora, on the basis of the male pores opening to the outside of body... earthworm organic cycle;
  • The The Urea Cycle is a cycle of biochemical reactions occurring in many animal organisms that produces urea from ammonia. This cycle, also known as ornithine cycle, was the first metabolic cycle discovered (Krebs and Hensenleit, 1932) Urea is much less toxic than ammonia, therefore organisms which cant easily and... urea cycle; and
  • The The menstrual cycle is the periodic change in a womans body that occurs every month between puberty and menopause and that relates to reproduction. The average human menstrual cycle, regulated by hormones, takes 28 days, but it can range from 21 to 35 days. Generalities Menstruation, commonly called a... Menstrual cycle.
  • The During the 1950s and 1960s, William H. Masters and Virginia E. Johnson conducted many important studies within the field of human sexuality. In 1966, in their book Human Sexual Response, they detailed four stages of physiological changes of humans during sexual stimulation. These phases, in order of their occurrence, are... human sexual response cycle

• Chemical meanings include
  • A series of chemical reactions. See e.g. The citric acid cycle (also known as the tricarboxylic acid cycle, the TCA cycle, or the Krebs cycle) is a series of chemical reactions of central importance in all living cells that utilize oxygen as part of cellular respiration. In these aerobic organisms, the citric acid cycle is a metabolic... Citric acid cycle, the The Born-Haber cycle is a famous cycle of chemical reactions, first devleoped by Max Born and the German chemist Fritz Haber in 1917. The Born-Haber cycle involves the formation of an ionic compound from the reaction of an alkali metal (Li, Na, K, Rb, Cs) with a gaseous... Born Haber cycle or the The Calvin cycle (also known as Calvin-Benson cycle) is a series of biochemical reactions taking place in the chloroplasts of photosynthetic organisms. It was discovered by Melvin Calvin and Andy Benson at the University of California, Berkeley. During photosynthesis, light energy has been converted into chemical energy stored in... Calvin cycle.
  • In ecology, a biogeochemical cycle is a circuit where a nutrient moves back and forth between both biotic and abiotic components of ecosystems. Some cycles are nitrogen cycle oxygen cycle carbon cycle phosphorus cycle sulfur cycle water cycle hydrogen cycle Categories: Science stubs ... Biogeochemical cycles such as the The water cycle is known scientifically as the hydrologic cycle. It refers to the change of states of water between liquid, solid and gas. Also, the water, or hydrologic, cycle refers to the continuous exchange of water within the hydrosphere, for instance: between the atmosphere, land, surface water, groundwater, and... water cycle and the Ozone-oxygen cycle in the ozone layer. The ozone-oxygen cycle is the process by which ozone is continually regenerated in the Earths stratosphere, all the while converting ultraviolet radiation into heat. The chemistry was worked out by Sidney Chapman in 1930. How ozone is made In the first... Ozone-oxygen cycle (see list there).
  • A cyclic compound. See also The term alicyclic compound refers to organic chemical compounds that are both aliphatic and cyclic. Biological/environmental relevance Industrial relavance Categories: Organic compounds ... alicyclic compound.

• In engines,
  • The The four-stroke cycle of an internal combustion engine is the cycle most commonly used for automotive and industrial purposes today ( cars and trucks, generators, etc). It was invented by Nikolaus Otto in 1876, and is also called the Otto cycle. The four-stroke cycle is more fuel-efficient and... Otto cycle, the The diesel cycle is the combustion process of a type of internal combustion engine in which the burning of the fuel is triggered not by a spark plug as in the Otto cycle, but rather by the heat generated in compressing the fuel-air mixture. They are used not only... Diesel cycle, the The two-stroke cycle of an internal combustion engine differs from the more common four-stroke cycle by having only two strokes (linear movements of the piston) instead of four, although the same four operations (intake, compression, power, exhaust) still occur. Thus, there is a power stroke per piston for... two-stroke cycle, the In engineering, the Miller cycle is a combustion process used in a type of four-stroke internal combustion engine. The Miller cycle was patented by Ralph Miller, an American engineer, in the 1940s. This type of engine was first used in ships and stationary power-generating plant, but has recently... Miller cycle and the The Atkinson cycle engine is a type of Internal-combustion engine invented by James Atkinson in 1882. The Atkinson cycle is designed to provide efficiency at the expense of power. The Atkinson cycle allows the intake, compression, power, and exhaust strokes of the Four-stroke cycle to occur in a... Atkinson cycle in cars;
  • The A heat engine is an engine that uses heat to produce mechanical work by carrying a working substance through a cyclic process. The Carnot heat engine uses a particular thermodynamic cycle studied by Nicolas L onard Sadi Carnot in the 1820s. The Carnot cycle consists of the following steps: Reversible... Carnot cycle, The T-S diagram of a Rankine cycle, showing both ideal and non-ideal processes. The Rankine cycle is a thermodynamic cycle. Like other thermodynamic cycles, the maximum efficiency of the Rankine cycle is given by calculating the maximum efficiency of the Carnot cycle. This article will deal with the... Rankine cycle, The Stirling engine is a type of hot air engine, invented in 1816 by the Rev. Robert Stirling who sought to create a safer alternative to the steam engines of the time, whose boilers often exploded due to the high pressure of the steam and the primitive materials of the... Stirling cycle and An Ericsson Cycle Engine is also known as a hot-air engine, and is named after John Ericsson. It is often compared to a Stirling engine. The Ericsson cycle can be most easily described by comparing it to the Brayton cycle. The Brayton cycle consists of four steps: isentropic compression... Ericsson Cycle in heat engines;
  • The The Brayton cycle is a cyclic process generally associated with the gas turbine. It is unique among power cycles in being an open system. Model A Brayton engine consists of three components: A compressor A burner (or combustion chamber) A turbine Ambient air is drawn into the compressor, where it... Brayton cycle in a gas turbine;
  • The In a combined cycle power plant, a gas turbine generator is combined with a steam turbine power plant with the objective to increase the efficiency of electricity generation. In a thermal power plant, high-temperature heat as input to the power plant is converted to electricity as one of the... combined cycle in power plants;
  • The A refrigeration cycle describes the changes that take place to a refrigerant in absorbing heat and subsequently radiating it as it is circulated around a refrigerator. Work is applied to cool a living space or storage volume by pumping heat from a lower temperature heat source into a higher temperature... Refrigeration cycle
  • Rockets,
    • The A liquid air cycle engine (LACE) is a spacecraft propulsion engine that attempts to gain efficiency by gathering part of its oxidizer from the atmosphere. In a LOX/LH2 bipropellant rocket the liquid oxygen needed for combustion is the majority of the weight of the spacecraft on lift-off, so... liquid air cycle engine
    • The Expander rocket engine (closed cycle). Heat from the nozzle and combustion chamber powers the fuel and oxidizer pumps. The expander cycle is a power cycle of a bipropellant rocket engine meant to improve the efficiency of fuel delivery. In an expander cycle, the fuel is heated before it is combusted... expander cycle
    • The Gas generator rocket cycle. Some of the fuel and oxidizer is burned separately to power the pumps and then discarded. The gas generator cycle is a power cycle of a bipropellant rocket rocket engine. Some of the propellant is burned in a gas-generator and the resulting hot gas is... Gas-generator cycle
    • The Staged combustion rocket cycle. Some of the fuel and oxidizer is burned sepperately to power the pumps. The staged combustion cycle is a power cycle of a bipropellant rocket rocket engine. Some of the propellant is burned in a pre-burner and the resulting hot gas is used to power... Staged combustion cycle
    • The Pressure-fed rocket cycle. Propellant tanks are pressurized to supply fuel and oxidizer to the engine, eliminating the need for turbopumps. The pressure-fed cycle is a type of rocket engine power cycle. Propellant tanks are pressurized with a separate gas supply to force the fuel and oxidizer to the... Pressure-fed cycle

• In finance,
  • A Cash conversion cycle, also known as asset conversion cycle, net operating cycle or just cash cycle, is a ratio used in the financial analysis of a business. The higher the number, the longer a firms money is tied up in operations of the business and unavailable for other activities... cash conversion cycle.
  • The related notions of The conditions a product is sold under will change over time. The Product Life Cycle refers to the succession of stages a product goes through. Product Life Cycle Management is the succession of strategies used by management as a product goes through its life cycle. The stages A Typical Product... product life cycle management, A life cycle cost analysis calculates the cost of a system or product over its entire life span. The analysis of a typical system could include costs for: planning, design, development, production, maintenance, disposal or salvage. This cost analysis depends on values calculated from other reliability analyses like failure rate... Life cycle cost analysis, A life cycle assessment is the assessment of the environmental impact of a given product or service throughout its lifespan. The goal of LCA is to compare the environmental performance of products and services to be able to choose the least burdening one. The term life cycle refers to the... life cycle assessment and The Systems development life cycle (or SDLC) is any logical process used by a systems analyst to develop an information system, including requirements, validation, training, and user ownership. An SDLC should result in a high quality system that meets or exceeds customer expectations, within time and cost estimates, works effectively... systems development life cycle.
  • In many parts of economics there is an assumption that a complex system of determinants will tend to lead to a state of equilibrium. When this tendency is absent we use terms like virtuous circle and vicious circle (or virtuous cycle and vicious cycle) to describe these unstable pattern of... Virtuous circle and vicious circle.
  • A An abstract business cycle The business cycle or economic cycle refers to the ups and downs seen somewhat simultaneously in most parts of an economy. The cycle involves shifts over time between periods of relatively rapid growth of output (recovery and prosperity), alternating with periods of relative stagnation or decline... business cycle, e.g. the The model of Real Business Cycles (RBCs) is a macroeconomics model formulated principally by Robert Lucas Jr, building upon the ideas of John Muth. It is an example of New classical economics. The assumptions underlying this model are the presence of representative rational agents possessing rational expectations. The model is... RBC.
  • A A cycle count is an inventory management procedure where a small subset of inventory is counted on any given day. Cycle counts contrast with traditional physical inventory in that physical inventory stops operation at a facility and all items are counted, audited, and recounted at one time. Cycle counts have... cycle count is an inventory management procedure.

• Mathematical meanings include
  • A cycle in a This article is about permutation, a mathematical concept. See permutation (music) for the application of this concept to music. In mathematics, especially in abstract algebra and related areas, a permutation is a bijection, from a finite set X onto itself. In combinatorics, the term permutation has a traditional meaning, which... permutation. See also A cyclic permutation is a permutation that shifts all elements of given ordered set by a fixed offset, with the elements shifted off the end inserted back at the beginning in the same order, i.e., cyclically. In lay terms, a rotation. For example, (3,4,5,6,1,2... Cyclic permutation.
  • A In mathematics, a cyclic group is a group that can be generated by a single element, in the sense that the group has an element a (called a generator of the group) such that every element of the group is a power of a. Equivalently, an element a of a... cyclic group.
  • A One major problem that has plagued graph theory since its inception is the consistent lack of consistency in terminology. This page will try to keep current with some of the latest trends, however, you can be assured that some people will always use some different notations or the same term... cycle and a In the mathematical field of graph theory, a Hamiltonian path is a path in a undirected graph which visits each vertex exactly once. Determining whether such a path exists is an NP-complete problem called the Hamiltonian path problem. Hamiltonian paths and cycles are named after William Rowan Hamilton who... Hamiltonian cycle in graph theory. See also In graph theory, certain vector spaces over the two-element field Z2 are associated with an undirected graph; this allows to use the tools of linear algebra to study graphs. Let G be a finite simple undirected graph with edge set E. The power set of E becomes a Z2... cycle space and Floyds cycle-finding algorithm is an algorithm invented by Robert W. Floyd in 1967 which can detect cycles in arbitrary sequences, whether in data structures or generated on the fly, notably including those in graphs and pseudo-random sequences in O(1) space. Sometimes called tortoise and the hare... Floyd's cycle-finding algorithm.
  • A cycle is an element of a In mathematics (especially algebraic topology and abstract algebra), homology (in Greek homeos = identical and logos = word) is a certain general procedure to associate a sequence of abelian groups or modules to a given mathematical object (such as a topological space or a group). See homology theory for more background. For... homology class. See also In mathematics, a Hodge cycle is a particular kind of homology class defined on a complex algebraic variety V, or more generally on a Kähler manifold. A homology class x in a homology group Hk(V, C) = H where V is a non-singular complex algebraic variety or K... Hodge cycle.
  • The A limit-cycle is a closed trajectory in phase space exhibited by nonlinear systems. As a dynamical system evolves, its trajectory might tend to spiral in towards a closed loop in the phase space. The neighboring trajectories may either spiral towards the limit-cycle or move away from it. In... Limit-cycle in dynamical systems, e.g. the The Lotka-Volterra equations, also known as the predator-prey equations, are a pair of first order, non-linear, differential equations frequently used to describe the dynamics of biological systems in which two species interact, one a predator and one its prey. They were proposed independently by Vito Volterra and... Lotka-Volterra cycle.
  • A In combinatorics, a greedoid is a type of set system. It rises from the notion of matroid, which was originally introduced by Whitney in 1935 to study planar graphs and was later used by Edmonds to characterize certain structures that can be optimized by a greedy algorithm. Around 1980 Korte... cycle matroid.
  • A In mathematics, a cyclic order on a set X with n elements is an arrangement of X as on a clock face, for an n-hour clock. That is, rather than an order relation on X, we define on X just functions element immediately before and element immediately following any... cyclic order.

See related meanings under A period is an arbitrary interval of time. The word is applied to many different concepts: generally, in science, the time taken for one complete cycle of a repeating or oscillating quantity. The period of oscillation of a wave is the time taken for the wave to complete one wavelength... period.