This leads to the notion of an internal groupoid in a category.

All this unity ( sensation – concept or category – emotion – focusing of thought into an impression ) leads to the formation of a certain assumption or belief ( hypolepsis ).

The latter example leads to a generalization of modules over rings: If C is a preadditive category, then Mod ( C ) := Add ( C, Ab ) is called the module category over C. When C is the one-object preadditive category corresponding to the ring R, this reduces to the ordinary category of ( left ) R-modules.

On television, their writings were often expressed in plays in anthology drama series such as Armchair Theatre ( ITV, 1956 – 68 ) and The Wednesday Play ( BBC, 1964 – 70 ); this leads to a confusion with the kitchen sink drama category of the early 1960s.

His category choice, " Scenes from Famous Movies " leads to a parade of clips from 27 Fox movies.

We can then construct a projective cogenerator which leads us via to the ring we need for the category of R-modules.

This can easily be expressed in terms of a commutative diagram, and thus leads to the notion of a medial magma object in a category with a Cartesian product.

In that category, she defeated the four leads of Desperate Housewives.

This leads to the notion that the points of the stack should carry automorphisms themselves, and this in turn gives rise to the notion of a stack as a certain kind of " category fibered in groupoids ".

Magnetic levitation trains fall under the category of high-speed rail due to their association with track oriented vehicles ; however their inability to operate on conventional railroads often leads to their classification in a separate category.

Because the K-1 visa leads to immediate immigration, and eligibility for employment, in the United States, it is considered to be a high fraud visa category.

Alexander Grothendieck's work during the ` Golden Age ' period at IHÉS established several unifying themes in algebraic geometry, number theory, topology, category theory and complex analysis.

* Dual ( grammatical number ), a grammatical category used in some languages

A number of writings, belonging in this category, have been entirely lost.

The inflectional categories of the Greek verb have likewise remained largely the same over the course of the language's history, though with significant changes in the number of distinctions within each category and their morphological expression.

Examples include finding a number of caches that meet a category, completing a number of cache finds within a period of time, finding a cache for every calendar day, etc.

The word to guess is represented by a row of dashes, giving the number of letters and category of the word.

Roads are named using a numbering scheme similar to those used in the numbering of roads in Great Britain and Northern Ireland ; each road is assigned a letter, which represents the road's category, and a subsequent 1 – 2 digit number.

Nevertheless, irradiated foods that fall within the single category ; ' dried aromatic herbs, spices and vegetable seasonings ' are permitted presently in all 27 member states of the European Community and seven countries ( Belgium, Czech Republic, France, Italy, Netherlands, Poland, United Kingdom ) also maintain a number of national regulations that allow other irradiated foods to be marketed as long as they comply with Directvie 1999 / 2 / EC.

Krin Gabbard states that “ jazz is a construct ” or category that, while artificial, still is useful to designate “ a number of musics with enough in common to be understood as part of a coherent tradition ”.

Mathematicians do research in fields such as logic, set theory, category theory, abstract algebra, number theory, analysis, geometry, topology, dynamical systems, combinatorics, game theory, information theory, numerical analysis, optimization, computation, probability and statistics.

Other branches of mathematics, however, such as logic, number theory, category theory or set theory are accepted as part of pure mathematics, though they find application in other sciences ( predominantly computer science and physics ).

iTunes picked " Saints of Los Angeles " in their " Best of 2008 " in the Rock category as the number one song ; the song was also nominated for a Grammy Award in the " Best Hard Rock Performance " category.

The category of nominal class replaces not only the category of gender, but also the categories of number and case.

The loaning of fire related records to the military has declined since 2006, since a large number of such records now fall into the " archival records " category of military service records meaning that the records have been transferred from the military to the National Archives.

Some researchers such as John A Lucy, Barbara Saunders and Stephen C Levinson have argued that Berlin and Kay's study does not in fact show that linguistic relativity in color naming is impossible, because of a number of basic unsupported assumptions in their study ( such as whether all cultures in fact have a category of " color " that can be unproblematically defined and equated with the one found in Indo-European languages ) and because of problems with their data stemming from those basic assumptions.

A number of martial arts traditions, particularly the ones falling under the category of Neijia ( like T ' ai Chi Ch ' uan, Bagua Zhang and Xing Yi Quan ) embody Taoist principles to a significant extent, and some practitioners consider their art to be a means of practicing Taoism.

The three discs are subdivided relating to their content: " Brawlers " features Waits's more upbeat rock and blues songs ; " Bawlers ", his ballads and love songs ; and " Bastards ", songs that fit in neither category, including a number of spoken-word tracks.

Of the three, transfer-of-title loans have fallen into the very high-risk category as the number of providers has dwindled as regulators have launched an industry-wide crackdown on transfer-of-title structures where the private lender may sell or sell short the securities to fund the loan.

In linguistics, grammatical number is a grammatical category of nouns, pronouns, and adjective and verb agreement that expresses count distinctions ( such as " one ", " two ", or " three or more ").

Grammatical number is a morphological category characterized by the expression of quantity through inflection or agreement.

Not all languages have number as a grammatical category.

In the rock field, the separate categories for hard rock and metal albums have been combined and the Best Rock Instrumental Performance category were be eliminated due to a waning number of entries.

This category of sailboats is split up into several subcategories such as: skiffs, high performance dinghies, cruising dinghies, classic dinghies, catamarans and racing dinghies.

Within the category of contraltos are three generally recognized subcategories — coloratura contralto, lyric contralto, and dramatic contralto — that usefully describe the voice type in general terms.

Sachs broke down his 5th category into 3 subcategories: 51 = electrically actuated acoustic instruments ; 52 = electrically amplified acoustic instruments ; 53 = instruments in which make sound primarily by way of electrically driven oscillators, such as theremins or synthesizers, which he called radioelectric instruments.

Sachs divided his 5th category into 3 subcategories: 51 = electrically actuated acoustic instruments ; 52 = electrically amplified acoustic instruments ; 53 = instruments in which make sound primarily by way of electrically driven oscillators, such as theremins or synthesizers, which he called radioelectric instruments.

Line depth refers to the number of subcategories a category has.

In the remaining category ( Promo of the Year ), there are overall winners in each of five subcategories: Best Promotion ( of all types ), Best Theme Night, Best Giveaway, Best Celebrity Appearance, and Best Miscellaneous Promotion.

An individual person should never be filed directly in this category ; individuals belong in the appropriate national and / or occupational subcategories.

Characters should be placed in this category or one of its subcategories.

This category and its subcategories include people notable as chess players.

This category is for a series of subcategories and articles either related to or on the subject of Christianity.

This category and its subcategories list songs by recording artist.

: Individual works of musical theatre can be found in the subcategories of this category:

This is a catch-all category for all fictional characters originating in Marvel Comics that are not already covered by one of the subcategories.

Therefore most characters should, at a minimum, be placed in one of those subcategories instead of this main catch-all category.

This is a catch-all category for all superheroes that do not fall under one of the linked subcategories.

This category and its subcategories deal with operating systems, the system software responsible for the direct control and management of hardware and basic system operations, as well as running application software such as word processing programs and Web browsers.

Only when there are no appropriate subcategories should an article be categorized in the category Operating systems ( see: Wikipedia: Categorization and subcategories for an explanation ).

Biographical articles should generally not be included in this main category ; instead, players should be put in one or more subcategories, such as those under: Category: Major League Baseball players.

This category and its subcategories are arranged according to Romance languages tree at Ethnologue.

This category is for the listing of subcategories of professional ( and important amateur ) players of snooker ( not English billiards or other cue sports ), and for general-resource articles relating to this topic that are not national / regional in nature.

The main category should only list politicians who are associated with the national political scene but do not fit any subcategories.

Individual locations should not be placed in this category, but rather one or more of the subcategories below.

This category is for a series of subcategories and articles either related to or on the subject of Islam.

This category identifies the 88 constellations currently recognised ( areas of the sky ) by the International Astronomical Union ( IAU ), plus some further subcategories.