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Topic: Category of medial magmas

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	Encyclopedia :: encyclopedia : Magma (algebra) (Site not responding. Last check: 2007-09-21)
		The term magma for this kind of structure was introduced by Bourbaki; however, the term groupoid is a very common alternative.
		Magmas are not often studied as such; instead there are several different kinds of magmas, depending on what axioms one might require of the operation.
		A free magma on a set X is the "most general possible" magma generated by the set X (that is there are no relations or axioms imposed on the generators; see free object).
	www.hallencyclopedia.com /Magma_(algebra) (530 words)

	Category (mathematics) - Facts, Information, and Encyclopedia Reference article
		A locally small category is a category such that for all objects a and b, the hom-class hom(a, b) is a set.
		Any directed graph generates a small category: the objects are the vertices of the graph and the morphisms are the paths in the graph.
		Any category C can itself be considered as a new category in a different way: the objects are the same as those in the original category but the arrows are those of the original category reversed.
	www.startsurfing.com /encyclopedia/c/a/t/Category_(mathematics).html (1195 words)

	Category theory
		Category theory is a mathematical theory that deals in an abstract way with mathematical structures and relationships between them.
		Then it becomes possible to relate different categories by functors, generalizations of functions which associate to every object of one category an object of another category and to every morphism in the first category a morphism in the second.
		Algebra of continuous functions: a contravariant functor from the category of topological spaces (with continuous maps as morphisms) to the category of real associative algebras is given by assigning to every topological space X the algebra C(X) of all real-valued continuous functions on that space.
	www.nebulasearch.com /encyclopedia/article/Category_theory.html (3211 words)

	Magma Marine
		Magma exists between 650 and 1200 degrees C. Magma is under high pressure and sometimes emerges through volcanic vents in the form of flowing lava and pyroclastic ejecta.
		Magma is a French progressive rock band founded in 1969 by classically-trained drummer Christian Vander, who claimed as his inspiration a "vision of humanity's spiritual and ecological future" that profoundly disturbed him.
		In mathematics, the category of magmas (see category, magma for definitions), denoted by Mag, has as objects sets with a binary operation, and morphisms given by homomorphisms of operations (in the universal algebra sense).
	www.behindthefridge.com /pages6/56/magma-marine.html (1151 words)

	Category theory - the free encyclopedia (Site not responding. Last check: 2007-09-21)
		Category theory is a mathematical theory that deals in an abstractway with mathematical structures and relationships between them.
		Any directed graph generates a small category: the objects are thevertices of the graph and the morphisms are the paths in the graph.
		Any category C can itself be considered as a new category in a different way: the objects are the same as those in theoriginal category but the arrows are those of the original category reversed.
	www.world-knowledge-encyclopedia.com /?t=Category_theory (2390 words)

	Category theory
		The Yoneda lemma is one of the most famous basic results of category theory; it describes representable functors in functor categories.\n* Duality: Every statement, theorem, or definition in category theory has a dual which is essentially obtained by "reversing all the arrows".
		This duality, which is transparent at the level of category theory, is often obscured in applications and can lead to surprising relationships.\n* Adjoint functors: A functor can be left (or right) adjoint to another functor that maps in the opposite direction.
		A typical example of an abelian category is the category of abelian groups.\n* A category is called complete if all limits in it exist.
	encyclopedia.codeboy.net /wikipedia/c/ca/category_theory.html (2957 words)

	Category (mathematics) FACTS AND INFORMATION (Site not responding. Last check: 2007-09-21)
		A small category is a category in which both ob(''C'') and hom(''C'') are actually s and not proper classes.
		Any generates a small category: the objects are the vertices of the graph and the morphisms are the paths in the graph.
		In many categories, the hom-sets hom(''a'', ''b'') are not just sets but actually s, and the composition of morphisms is compatible with these group structures; i.e.
	www.gomemorize.com /en/category_(mathematics) (1187 words)

	Medial category (Site not responding. Last check: 2007-09-21)
		In mathematics the medial category Med that is the category of medial magmas has as objects sets with a medial binary operation and morphisms given by homomorphisms of operations (in the universal algebra sense).
		The category Med has direct products so the concept of a medial magma object (internal binary operation) makes sense.
		An injective endomorphism can be extended to an automorphism of a magma extension — the colimit of the constant sequence of the endomorphism.
	www.freeglossary.com /Category_of_medial_magmas (272 words)

	Medial Epicondylitis -- Recommendations and Resources (Site not responding. Last check: 2007-09-21)
		The identity xy.uz=xu.yz has been variously called medial, abelian, alternation, transposition, bi-commutative, bisymmetric, surcommutative, entropic, etc. (see : Historical comments) For instance, for two endomorphisms f and g, with the usual operation between functions :(f*g)(x)= f(x).g(x) this says we have again a morphism.
		The medial lemniscus, also known as Reil's band or Reil's ribbon, is a pathway in the brainstem, that carries sensory information from the gracile and cuneate nuclei to the thalamus.
		At the open medulla (further up the brainstem), the medial lemniscus contains axons from the trigeminal nerve (which supplies the head region), as well as the arms and legs.
	www.becomingapediatrician.com /health/92/medial-epicondylitis.html (484 words)

	Category theory Article, Categorytheory Information (Site not responding. Last check: 2007-09-21)
		Category theory is a mathematical theory that deals in anabstract way with mathematical structures and relationships between them.
		Any monoid forms a small category with a single object x, and where everyelement of the monoid is a morphism from x to x (the monoid operation yields the categorical composition ofmorphisms).
		Any category C can itself be considered as a new category in a different way: the objects are the same as those inthe original category but the arrows are those of the original category reversed.
	www.anoca.org /categories/morphisms/category_theory.html (2145 words)

	NSSH Part 629 - Glossary, H-M \| NRCS Soils (Site not responding. Last check: 2007-09-21)
		The main operational categories of mass movement are fall (rockfall, soil fall, topple), slide (rotational landslide, block glide, debris slide, lateral spread), flow [rock fragment flow (especially rockfall avalanche), debris avalanche, debris flow (e.g., lahar), earthflow, (creep, mudflow)], and complex landslides.
		It is composed chiefly of rock fragments derived from valley walls by glacial abrasion and plucking, or colluvial accumulation from adjacent slopes.
		medial moraine - (a) An elongate moraine carried in or upon the middle of a glacier and parallel to its sides, usually formed by the merging of adjacent and inner lateral moraines below the junction of two coalescing valley glaciers.
	soils.usda.gov /technical/handbook/contents/part629glossary3.html (7228 words)

	Medial Knee Pain -- Recommendations and Resources (Site not responding. Last check: 2007-09-21)
		After neurons carrying proprioceptive or touch information synapse at the gracile and cuneate nuclei, axons from secondary neurons travel up the brainstem as the medial lemniscus on the contralateral (opposite) side.
		The cuneate and gracile nuclei reside at the closed (lower) medulla, so the lemniscus isn't formed at this level.
		Fibres from the head are medial, fibres from the leg are lateral.
	www.becomingapediatrician.com /health/92/medial-knee-pain.html (484 words)

	Category theory
		General category theory — an updated universal algebra with many new features allowing for semantic flexibility and higher-order logic — came later; it is now applied throughout mathematics.
		The category Med consisting of all medial magmas together with their homomorphisms.
		Duality: Every statement, theorem, or definition in category theory has a dual which is essentially obtained by "reversing all the arrows".
	www.askfactmaster.com /Category_theory (2399 words)

	category killer - Hutchinson encyclopedia article about category killer (Site not responding. Last check: 2007-09-21)
		In the UK, out-of-town superstore retailers, such as IKEA, could be described as category killers.
		Category 5 UTP Cable (used for connecting computer networks)
		This information should not be considered complete, up to date, and is not intended to be used in place of a visit, consultation, or advice of a legal, medical, or any other professional.
	encyclopedia.farlex.com /Category+killer (106 words)

	User:Salix alba/maths/maths redirect frequency - Wikipedia, the free encyclopedia
		Category (category theory) -> Category (mathematics) - 17
		Medial category -> Category of medial magmas - 8
		Magma category -> Category of magmas - 6
	en.wikipedia.org /wiki/User:Salix_alba/maths/maths_redirect_frequency (2706 words)

	Medial (Site not responding. Last check: 2007-09-21)
		In abstract algebra, a magma which satisfies the identity
		Its importance come from the concept of an auto magma object and the representation (reconstruction) theorems which originates.
		Historical comments J.Jezek and T.Kepka: Medial groupoids Rozpravy CSAV, Rada mat.
	encyclopedia.codeboy.net /wikipedia/m/me/medial.html (124 words)

	Medial - the free encyclopedia (Site not responding. Last check: 2007-09-21)
		For the meaning of "medial" in anatomy, see anatomical terms of location.For linguisticsenses of the word, see medial (linguistics).
		In abstract algebra, a medial algebra isa set with a binary operation which satisfies theidentity
		HistoricalcommentsJ.Jezek and T.Kepka: Medial groupoids Rozpravy CSAV, Rada mat.
	www.world-knowledge-encyclopedia.com /?t=Medial (109 words)

	Geology Club Home Club Tutor Page
		Basaltic magma is only generated by partial melting of the mantle (5 to 20% by volume).
		Rhyolitic magma is too cool and viscous to easily move through a dike in any large amounts.
		Arranged by magma composition, summarize in a table the main types of monogenetic volcanoes.
	geology.csustan.edu /club/tutor/geol3500.htm (2512 words)

	INFO OF -Connectedness (Site not responding. Last check: 2007-09-21)
		For example, in category theory, a category (mathematics) is said to be connected if each pair of objects in it is joined by a morphism.
		Thus, a category is connected if it is, intuitively, all one piece.
		There may be different notions of connectedness that are intuitively similar, but different as formally defined concepts.
	www.cwap.org /en/connectedness (2250 words)

	Untitled Document
		If this occurs slowly, and crystals remain in contact with the magma, they will react to form a new mineral phase that is in equilibrium with the magma again.
		Magma composition evolves to be richer in SiO2.
		Magma resides in the crust where its density matches that of the surrounding crust.
	www.sonoma.edu /users/k/karner/F05.303.web/F05.303.notes.html (13250 words)

	OGRe.NET: Glossary
		Batholith - A large mass of igneous rock that formed when magma was emplaced at depth, crystallized, and subsequently exposed by erosion.
		Classification - Any system of grouping species into a more inclusive category-the genera into families and families into orders, classes, and phyla, each more inclusive than the preceding category.
		Felsic magma — A type of magma containing more than 65% silica and considerable sodium, potassium, and aluminum, but little calcium, iron, and magnesium.
	www.ontariogeoscience.net /glossary.html (10797 words)

	[No title]
		The main idea of the package is therefore: (i) calculate the translations and the associated permutation groups when they are needed, (ii) store them as attributes, (iii) use them in algorithms as often as possible.
		1.5.3 Magmas, quasigroups, loops and groups in GAP Whether an object is considered a quasigroup or a loop is a matter of declaration in LOOPS.
		A declared loop is considered to be a quasigroup, however, a declared quasigroup is not considered to be a loop, even if it accidentally possesses a neutral element.
	www-groups.dcs.st-and.ac.uk /gap/Manuals/pkg/loops/doc/loops_manual.txt (5354 words)

	Phsc 2 Fall Module #1
		Chemical sedimentary rocks (in the course text, this category includes biochemical sedimentary rocks, which are described separately below): a portion of the source rock may be dissolved and carried in solution by streams and rivers which empty into lakes and oceans, or percolate downward as groundwater.
		Contact: associated with igneous intrusions as hot magma and associated fluids metamorphose the surrounding rock.
		Orogenic zone: locally different realms of metamorphic type and intensity including contact metamorphism (adjacent to magma chambers), hydrothermal metamorphism (associated with fluids liberated from and mobilized by magma) and dynamic metamorphism (associated with faulting).
	web1.shastacollege.edu /geoscience/online/phsc2fa/phsc2fa_outline1.html (8953 words)

	Landform Glossary (Site not responding. Last check: 2007-09-21)
		It depends upon velocity: a small but swift current for example, may have greater competence than a larger but slower moving current.
		complex landslide [mass movement] - A category of mass movement processes, associated sediments (complex landslide deposit) or resultant landforms characterized by a composite of several mass movement processes none of which dominates or leaves a prevailing landform.
		flow [mass movement] - A category of mass movement processes, associated sediments (flow deposit) and landforms characterized by slow to very rapid downslope movement of unconsolidated material which, whether saturated or comparatively dry, behaves much as a viscous fluid as it moves.
	www.computerstuph.com /range/glossary.htm (14739 words)

	WEEK 1
		Lava flows of basaltic magma with low viscosity form:
		Basaltic magma is lower in viscosity but higher in density than granitic magma.
		There has not been a volcanic eruption in the contiguous United States in this century.
	www.uwm.edu /~kowal/clcnotes.html (4358 words)

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