Higher-dimensional conformal field theories are prominent in the AdS / CFT correspondence, in which a gravitational theory in anti de Sitter space ( AdS ) is equivalent to a conformal field theory on the AdS boundary.

* Higher-dimensional algebra

* Higher-dimensional algebra

* J. Baez and A. Lauda, Higher-dimensional algebra V: 2-groups

Higher-dimensional phase spaces can only be visualized by projection into the two or three-dimensional sub-spaces.

Higher-dimensional spherical geometries exist ; see elliptic geometry.

Higher-dimensional objects can be visualized in form of projections ( views ) in lower dimensions.

Higher-dimensional Einstein gravity is any of various physical theories that attempt to generalise to higher dimensions various results of the well established theory of standard ( four-dimensional ) Einstein gravity, that is, general relativity.

The 1912 article " Higher-dimensional Space " ( Mehr-dimensional Raume ) for Encyklopädie der mathematischen Wissenschaften spanned 200 pages.

Taxation of tangible movable property in Rhode Island has been generally of a `` hands off '' nature due possibly to several reasons: ( 1 ) local assessors, in the main, are not well paid and have inadequate office staffs, ( 2 ) the numerous categories of this component of personal property make locating extremely difficult, and ( 3 ) the inexperience of the majority of assessors in evaluating this type of property.

The purpose of washing is, obviously, to remove soils which are arbitrarily classed in the four major categories given below: 1.

`` Success '' and `` failure '' are just convenient labels for the two categories of outcomes when we talk about binomial trials in general.

The totals for these five categories are not too uneven, namely 20, 15, 11, 16, 9 respectively.

Thus, the three main categories of antisubmarine warfare operations are defense of shipping, defense of naval forces, and area defense.

The compounds are divided according to composition into seven categories.

Some of the persons listed are, like Korzybski, polymaths and several categories apply to them.

For example, if one defines categories in terms of sets, that is, as sets of objects and morphisms ( usually called a small category ), or even locally small categories, whose hom-objects are sets, then there is no category of all sets, and so it is difficult for a category-theoretic formulation to apply to all sets.

* If two small categories are weakly equivalent, then they are equivalent.

Associative operations are abundant in mathematics ; in fact, many algebraic structures ( such as semigroups and categories ) explicitly require their binary operations to be associative.

Two districts — Eanes and Round Rock — are rated " gold medal ", the highest of the magazine's cost-performance categories.

Anomalous perturbations are divided into two categories based on the magnitude of its effects, Macro-AP and Micro-AP.

It might be objected, however, that there are rather too many exceptions to Dutton's categories.

Historically, tanks are divided into 3 categories:

The three main categories are potentiometry ( the difference in electrode potentials is measured ), coulometry ( the cell's current is measured over time ), and voltammetry ( the cell's current is measured while actively altering the cell's potential ).

The term acquired a special significance in the philosophy of Immanuel Kant ( 1724 – 1804 ), who used it to describe the equally rational but contradictory results of applying to the universe of pure thought the categories or criteria of reason that are proper to the universe of sensible perception or experience ( phenomena ).

Common categories include the type of structural elements used, by what they carry, whether they are fixed or movable, and by the materials used.

There are a number of different categories that board games can be broken up into, although considerable overlap exists, and a game may belong in several categories.

There are five main categories in which potential sources and / or analogues are included: Scandinavian parallels, classical sources, Irish sources and analogues, ecclesiastical sources, and echoes in other Old English texts.

The categories of Boolean rings and Boolean algebras are equivalent.

The contents are correspondingly varied: a confession of sin and a plea to God not to maintain his anger forever ( ch. 63: 7 – 64: 11 ); a poem on the theme that God has no need of a temple because Heaven is his throne and Earth his footstool ( Isaiah 66: 1 – 2 ); verses setting out conditions for admission to the community ; complaints of sin, incompetence and paganism ; and distinctions between the " righteous " and the " sinners ", foreshadowing the categories used in much later Judaism and early Christianity.

In 1942 – 45, Samuel Eilenberg and Saunders Mac Lane introduced categories, functors, and natural transformations as part of their work in topology, especially algebraic topology.

Formal-ontological categories relate objects and include notions such as set, cardinal number, ordinal number, part and whole, relation, and so on.

These three categories are part of every exact description of a mode of inheritance in the above order.

As sociological factors, racial categories may in part reflect subjective attributions, self-identities, and social institutions.

Another view is that a device which is plugged into an electrical outlet of a wall becomes part of the building, but is nonfunctional while the switch is off ; turning it on would then constitute " building " and turning it off would be " demolishing " ( categories 35 and 34 ).

Many phrasal categories are assumed that do not correspond directly to a specific part of speech, e. g. agreement phrase ( AgrP ), focus phrase ( FP ), inflection phrase ( IP ), tense phrase ( TP ), etc.

Following Aristotle, Dicaearchus divided all governments into three categories: the democratic, aristocratic, and monarchical, He advocated a " mixed " government, echoing the Spartan system, in which elements of all three categories play a part.

Their physical appearance is closer to what is generally associated with Asian peoples than to other Native Americans, but racial categorisation is no longer considered very productive among anthropologists, in part because of the highly contested nature of racial categories.

Certain categories are spoken of as having " no part in the world to come ", but this appears to mean annihilation rather than an eternity of torment.

However, the categories have become so firmly established in government and popular discourse over time that they have become de facto distinctions, serving to shape in part today's political discourse within the Republic of China ( ROC ), and affecting Taiwan's policies regarding indigenous peoples.

The apron is commonly part of the uniform of several work categories, including waitresses, nurses, and domestic workers.

Apart from the minimalist program, however, the DP hypothesis is rejected by most other modern theories of syntax and grammar, in part because these theories lack the relevant functional categories.

Jaundice is classified into three categories, depending on which part of the physiological mechanism the pathology affects.

* the work must come within one of the nine limited categories of works listed in the definition above, namely ( 1 ) a contribution to a collective work, ( 2 ) a part of a motion picture or other audiovisual work, ( 3 ) a translation, ( 4 ) a supplementary work, ( 5 ) a compilation, ( 6 ) an instructional text, ( 7 ) a test, ( 8 ) answer material for a test, ( 9 ) an atlas ;

Since, however, such a type of intuition, intellectual intuition, forms no part whatsoever of our faculty of knowledge, it follows that the employment of the categories can never extend further than to the objects of experience.

A forgetful functor between categories of algebraic structures " forgets " a part of a structure.

DDMRP defines a modern, integrated and greatly needed system of execution for all part categories in order to speed the proliferation of relevant information and priorities throughout an organization and supply chain.

* spies, mercenaries, child soldiers, and civilians who take a direct part in combat and do not fall into one of the categories listed in the previous section, ( for example " inhabitants of a non-occupied territory, who on the approach of the enemy spontaneously take up arms to resist the invading forces " would qualify as privileged combatants ).

All small categories are concretizable: define U so that its object part maps each object b of C to the set of all morphisms of C whose codomain is b ( i. e. all morphisms of the form f: a → b for any object a of C ), and its morphism part maps each morphism g: b → c of C to the function U ( g ): U ( b ) → U ( c ) which maps each member f: a → b of U ( b ) to the composition gf: a → c, a member of U ( c ).

Demosceners specialize themselves into various categories to be able to take part in the demomaking process.

As a part of the major overhaul of Grammy categories, the award was discontinued in 2011.

The letter X is used to signify an arbitrary lexical category ( part of speech ); when analyzing a specific utterance, specific categories are assigned.