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Contraction Mapping, Lipschitz
Contraction may refer to: Linguistics * Contraction (grammar), a shortened word * Poetic contraction, omission of letters for poetic reasons * Elision, omission of sounds ** Syncope (phonology), omission of sounds in a word * Synalepha, merged syllables ** Synaeresis, combined vowels ** Crasis, merged vowels or diphthongs Mathematics and logic * Contraction (operator theory), in operator theory, state of a bounded operator between normed vector spaces after suitable scaling * Contraction hierarchies, in applied mathematics, a technique to speed up shortest-path routing * Contraction mapping, a type of function on a metric space * Edge contraction or vertex contraction, graph operations used in graph theory * Tensor contraction, an operation on one or more tensors that arises from the natural pairing of a finite-dimensional vector space and its dual * Geometric algebra#Extensions of the inner and exterior products, Left contraction and right contraction of multivectors in a geo ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Contraction (grammar)
A contraction is a shortened version of the spoken and written forms of a word, syllable, or word group, created by omission of internal letters and sounds. In linguistic analysis, contractions should not be confused with crasis, abbreviations and initialisms (including acronyms), with which they share some semantic and phonetic functions, though all three are connoted by the term "abbreviation" in layman’s terms. Contraction is also distinguished from morphological clipping, where beginnings and endings are omitted. The definition overlaps with the term portmanteau (a linguistic '' blend''), but a distinction can be made between a portmanteau and a contraction by noting that contractions are formed from words that would otherwise appear together in sequence, such as ''do'' and ''not'', whereas a portmanteau word is formed by combining two or more existing words that all relate to a singular concept that the portmanteau describes. English English has a number of cont ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Conditional Independence
In probability theory, conditional independence describes situations wherein an observation is irrelevant or redundant when evaluating the certainty of a hypothesis. Conditional independence is usually formulated in terms of conditional probability, as a special case where the probability of the hypothesis given the uninformative observation is equal to the probability without. If A is the hypothesis, and B and C are observations, conditional independence can be stated as an equality: :P(A\mid B,C) = P(A \mid C) where P(A \mid B, C) is the probability of A given both B and C. Since the probability of A given C is the same as the probability of A given both B and C, this equality expresses that B contributes nothing to the certainty of A. In this case, A and B are said to be conditionally independent given C, written symbolically as: (A \perp\!\!\!\perp B \mid C). The concept of conditional independence is essential to graph-based theories of statistical inference, as it estab ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Phase II
Phase II, Phase 2 or Phase Two may refer to: Media * Marvel Cinematic Universe: Phase Two, six American superhero films from 2013–2015 * '' Star Trek: Phase II'', an unrealized television series based on the characters of Gene Roddenberry's ''Star Trek'' * ''Star Trek: Phase II'' (fan series), a fan-created science fiction series set in the ''Star Trek'' universe * ''Phase II'' (album), 2012 Prince Royce album * ''Phase 2'' (album), 2014 Fear, and Loathing in Las Vegas album * ''Phase II'', a Johnny Smith album * Phase II Pan Groove, a steel orchestra * '' Contracted: Phase II'', a 2015 horror film * '' Phase Two: Slowboat to Hades'', a Gorillaz compilation DVD Other * Phase II clinical trials, the second of the phases of clinical research * Phase II metabolism, conjugation reactions in drug metabolism * Phase 2 (graffiti artist) (1955–2019), an American graffiti artist in New York City * Phase2 International, a defunct cloud computing provider * Cosmos Phase II, ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Contracted (film)
''Contracted'' is a 2013 American zombie- body horror independent film written and directed by Eric England. It was first released on November 23, 2013, in the United States and stars Najarra Townsend as a young woman that finds herself suffering from a mysterious sexually transmitted disease after a rape. It has been compared to the 2012 film '' Thanatomorphose'', with which it shares similarities. ''Twitch Film'' has criticized the movie for its marketing, in which England describes the character Samantha's rape as a "one night stand". Some of the cast from the first film reprise their roles in the 2015 sequel, '' Contracted: Phase II'', written by Craig Walendziak and directed by Josh Forbes. Plot In a morgue, a man named BJ with an Abaddon tattoo has sex with a corpse that has a biohazard symbol on the toe tag; afterward, he handles an empty test tube while washing up. Samantha is trying to get over a recent break-up with her girlfriend, Nikki. The party's host, Ali ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Lanthanide Contraction
The lanthanide contraction is the greater-than-expected decrease in atomic radii and ionic radii of the elements in the lanthanide series, from left to right. It is caused by the poor shielding effect of nuclear charge by the 4f electrons along with the expected periodic trend of increasing electronegativity and nuclear charge on moving from left to right. About 10% of the lanthanide contraction has been attributed to relativistic effects. A decrease in atomic radii can be observed across the 4f elements from atomic number 57, lanthanum, to 70, ytterbium. This results in smaller than otherwise expected atomic radii and ionic radii for the subsequent d-block elements starting with 71, lutetium. Jolly, William L. ''Modern Inorganic Chemistry'', McGraw-Hill 1984, p. 22 This effect causes the radii of transition metals of group 5 and 6 to become unusually similar, as the expected increase in radius going down a period is nearly cancelled out by the f-block insertion, and has ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Contraction (physics)
Thermal expansion is the tendency of matter to increase in length, area, or volume, changing its size and density, in response to an increase in temperature (usually excluding phase transitions). Substances usually contract with decreasing temperature (thermal contraction), with rare exceptions within limited temperature ranges ('' negative thermal expansion''). Temperature is a monotonic function of the average molecular kinetic energy of a substance. As energy in particles increases, they start moving faster and faster, weakening the intermolecular forces between them and therefore expanding the substance. When a substance is heated, molecules begin to vibrate and move more, usually creating more distance between themselves. The relative expansion (also called strain) divided by the change in temperature is called the material's coefficient of linear thermal expansion and generally varies with temperature. Prediction If an equation of state is available, it can be used t ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Contraction (economics)
In economics, a recession is a business cycle contraction that occurs when there is a period of broad decline in economic activity. Recessions generally occur when there is a widespread drop in spending (an adverse demand shock). This may be triggered by various events, such as a financial crisis, an external trade shock, an adverse supply shock, the bursting of an economic bubble, or a large-scale anthropogenic or natural disaster (e.g. a pandemic). There is no official definition of a recession, according to the IMF. In the United States, a recession is defined as "a significant decline in economic activity spread across the market, lasting more than a few months, normally visible in real GDP, real income, employment, industrial production, and wholesale-retail sales." The European Union has adopted a similar definition. In the United Kingdom and Canada, a recession is defined as negative economic growth for two consecutive quarters. Governments usually respond to recessi ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Wound Contraction
Wound contracture is a process that may occur during wound healing when an excess of Wound healing#Contraction, wound contraction, a normal healing process, leads to physical deformity characterized by skin constriction and functional limitations. Wound contractures may be seen after serious burns and may occur on the palms, the soles, and the anterior thorax. For example, scars that prevent joints from extending or scars that cause an ectropion are considered wound contractures. See also * Wound healing * Burn scar contracture References Skin physiology Traumatology Physiology {{disease-stub ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Contractility
Contractility refers to the ability for self- contraction, especially of the muscles or similar active biological tissue *Contractile ring in cytokinesis *Contractile vacuole *Muscle contraction **Myocardial contractility *See contractile cell for an overview of cell types in humans. See also *motility Motility is the ability of an organism to move independently using metabolism, metabolic energy. This biological concept encompasses movement at various levels, from whole organisms to cells and subcellular components. Motility is observed in ... {{SIA Cell movement ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Uterine Contraction
Uterine contractions are muscle contractions of the uterine smooth muscle that can occur at various intensities in both the non-pregnant and pregnant uterine state. The non-pregnant uterus undergoes small, spontaneous contractions in addition to stronger, coordinated contractions during the menstrual cycle and orgasm. Throughout gestation, the uterus enters a state of uterine quiescence due to various neural and hormonal changes. During this state, the uterus undergoes little to no contractions, though spontaneous contractions still occur for the uterine myocyte cells to experience hypertrophy. The pregnant uterus only contracts strongly during orgasms, labour, and in the postpartum stage to return to its natural size. Throughout menstrual cycle Uterine contractions that occur throughout the menstrual cycle, also termed ''endometrial waves'' or ''contractile waves'', appear to involve only the sub- endometrial layer of the myometrium. Follicular and luteal phase In the early ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Muscle Contraction
Muscle contraction is the activation of Tension (physics), tension-generating sites within muscle cells. In physiology, muscle contraction does not necessarily mean muscle shortening because muscle tension can be produced without changes in muscle length, such as when holding something heavy in the same position. The termination of muscle contraction is followed by muscle relaxation, which is a return of the muscle fibers to their low tension-generating state. For the contractions to happen, the muscle cells must rely on the change in action of two types of Myofilament, filaments: thin and thick filaments. The major constituent of thin filaments is a chain formed by helical coiling of two strands of actin, and thick filaments dominantly consist of chains of the Motor protein, motor-protein myosin. Together, these two filaments form myofibrils - the basic functional organelles in the skeletal muscle system. In vertebrates, Muscle cell#Muscle contraction in striated muscle, skele ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Contraction (logic)
In the logical discipline of proof theory, a structural rule is an inference rule of a sequent calculus that does not refer to any logical connective but instead operates on the sequents directly. Structural rules often mimic the intended meta-theoretic properties of the logic. Logics that deny one or more of the structural rules are classified as substructural logics. Common structural rules Three common structural rules are: * , where the hypotheses or conclusion of a sequence may be extended with additional members. In symbolic form weakening rules can be written as \frac on the left of the turnstile, and \frac on the right. Known as monotonicity of entailment in classical logic. * , where two equal (or unifiable) members on the same side of a sequent may be replaced by a single member (or common instance). Symbolically: \frac and \frac. Also known as factoring in automated theorem proving systems using resolution. Known as idempotency of entailment in classical logic. * ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
