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Cyclic category information


In mathematics, the cyclic category or cycle category or category of cycles is a category of finite cyclically ordered sets and degree-1 maps between them. It was introduced by Connes (1983).

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Cyclic category

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In mathematics, the cyclic category or cycle category or category of cycles is a category of finite cyclically ordered sets and degree-1 maps between them...

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Cyclic adenosine monophosphate

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Cyclic adenosine monophosphate (cAMP, cyclic AMP, or 3',5'-cyclic adenosine monophosphate) is a second messenger, or cellular signal occurring within...

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Cyclic order

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In mathematics, a cyclic order is a way to arrange a set of objects in a circle.[nb] Unlike most structures in order theory, a cyclic order is not modeled...

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Cyclic model

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A cyclic model (or oscillating model) is any of several cosmological models in which the universe follows infinite, or indefinite, self-sustaining cycles...

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List of hash functions

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This is a list of hash functions, including cyclic redundancy checks, checksum functions, and cryptographic hash functions. Adler-32 is often mistaken...

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Abelian group

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for any two integers m {\displaystyle m} and n {\displaystyle n} . Every cyclic group G {\displaystyle G} is abelian, because if x {\displaystyle x} , y...

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Cyclic ozone

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Cyclic ozone is a theoretically predicted form of ozone. Like ordinary ozone (O3), it would have three oxygen atoms. It would differ from ordinary ozone...

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Alain Connes

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Academic Press, 1994, ISBN 978-0-12-185860-5 Bost–Connes system Cyclic category Cyclic homology Factor (functional analysis) Higgs boson C*-algebra Noncommutative...

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Cyclic homology

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to cyclic homology using a notion of cyclic object in an abelian category, which is analogous to the notion of simplicial object. In this way, cyclic homology...

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Stoicism

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is considered infinite and cyclic. Similarly, space and the Universe have neither start nor end, rather they are cyclical. The current Universe is a phase...

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Cycloalkane

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cycloalkanes with little or no ring strain (see below) are comparable to non-cyclic alkanes. In cycloalkanes, the carbon atoms are sp3 hybridized, which would...

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Propylene carbonate

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abbreviated PC) is an organic compound with the formula C4H6O3. It is a cyclic carbonate ester derived from propylene glycol. This colorless and odorless...

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Ketone

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site of unsaturation; that is, it can be hydrogenated. Many ketones are cyclic. The simplest class have the formula (CH2)nCO, where n varies from 2 for...

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Computation of cyclic redundancy checks

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Computation of a cyclic redundancy check is derived from the mathematics of polynomial division, modulo two. In practice, it resembles long division of...

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Cyclic module

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In mathematics, more specifically in ring theory, a cyclic module or monogenous module is a module over a ring that is generated by one element. The concept...

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Concyclic points

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on a common circle. A polygon whose vertices are concyclic is called a cyclic polygon, and the circle is called its circumscribing circle or circumcircle...

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Triamcinolone acetonide

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21-tetrahydroxypregna-1,4-diene-3,20-dione cyclic 16,17-acetal with acetone, is a synthetic halogenated cyclic ketal pregnane corticosteroid. It is the...

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Soil liquefaction

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soil test-based definition, usually performed via cyclic triaxial, cyclic direct simple shear, or cyclic torsional shear type apparatus. These tests are...

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Isomorphism

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structures are exactly the same. More generally, the direct product of two cyclic groups Z m {\displaystyle \mathbb {Z} _{m}} and Z n {\displaystyle \mathbb...

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Category of groups

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mathematics, the category Grp (or Gp) has the class of all groups for objects and group homomorphisms for morphisms. As such, it is a concrete category. The study...

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Free product

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modular group is isomorphic to the free product of cyclic groups of orders 4 and 6 amalgamated over a cyclic group of order 2. If G and H are groups, a word...

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Aromatic compound

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two categories - benzoids, that contain a benzene derivative and follow the benzene ring model, and non-benzoids that contain other aromatic cyclic derivatives...

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Lagrangian mechanics

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This is a special case of Noether's theorem. Such coordinates are called "cyclic" or "ignorable". For example, a system may have a Lagrangian L ( r , θ ...

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Thermodynamic cycle

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cyclic process, when the cyclic process finishes the system's internal energy is the same as the energy it had when the process began. If the cyclic process...

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Deficit spending

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so that there is no net deficit over an economic cycle (i.e., only run cyclical deficits and not structural deficits). This is derived from Keynesian economics...

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Adenylyl cyclase

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diphosphate-lyase (cyclizing; 3′,5′-cyclic-AMP-forming). It catalyzes the following reaction: ATP = 3′,5′-cyclic AMP + diphosphate It has key regulatory...

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Free group

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reduced conjugate of a cyclically reduced word is a cyclic permutation of the letters in the word. For instance b−1abcb is not cyclically reduced, but is conjugate...

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Lactam

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A lactam is a cyclic amide, formally derived from an amino alkanoic acid through cyclization reactions. The term is a portmanteau of the words lactone...

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