The prototypical example of a Banach algebra is, the space of ( complex-valued ) continuous functions on a locally compact ( Hausdorff ) space that vanish at infinity.

The prototypical example of this abstract notion is the self-referential structure at the core of Gödel's incompleteness theorems.

R < sup > n </ sup > is the prototypical example of a real n-dimensional vector space.

Social psychologists have sought to model the manner in which the human mind categorizes social stimuli ( Self-categorization theory is a prototypical example ).

The red top tabloid is, for many, the prototypical example of the format ; the ubiquity of this editorial style among newspapers of the tabloid format has made it persist in the minds of the public.

The prototypical example of a congruence relation is congruence modulo on the set of integers.

The commercialization of Marxist revolutionary Che Guevara's image for profit is a prototypical example of Recuperation ( sociology ) | recuperation.

Anton Zeilinger, referring to the prototypical example of the double-slit experiment, has elaborated regarding the creation and destruction of quantum superposition:

Note that Z, equipped with these operations of addition and multiplication, is a ring, and is in fact, the prototypical example of a ring.

The castle is regarded as the finest surviving example of prototypical Japanese castle architecture, comprising a network of 83 buildings with advanced defensive systems from the feudal period.

It serves as an excellent example of prototypical Japanese castle architecture, containing many of the defensive and architectural features associated with Japanese castles.

" Pillow Talk " has been called an early example of prototypical disco music and went on to sell two million copies.

The tangent bundle to a manifold is the prototypical example of a vector bundle ( a fiber bundle whose fibers are vector spaces ).

A prototypical example of the former usage in the original Japanese which brought the term to the attention of Western fans is Chibiusa, a pet name for the diminutive daughter of Sailor Moon formed from Chibi Usagi (" Little Rabbit ").

Some propose that classifier – noun pairings are based on innate semantic features of the noun ( for example, all " long " nouns take a certain classifier because of their inherent longness ), and others claim that they are motivated by analogy to more prototypical pairings ( for example, " dictionary " takes the same classifier as the more common word " book ").

The prototypical example of a quantum field theory with cosmic strings is the Abelian Higgs model.

The prototypical example of a smooth principal bundle is the frame bundle of a smooth manifold M, often denoted FM or GL ( M ).

It is particularly notable as the prototypical example of an exactly solvable model, that is, a non-linear partial differential equation whose solutions can be exactly and precisely specified.

A prototypical example of the use of type rules is in defining type inference in the simply typed lambda calculus, which is the internal language of Cartesian closed categories.

The prototypical example of a pseudoscalar is the scalar triple product.

A prototypical example is the squared angular momentum operator, which is a Casimir invariant of the three-dimensional rotation group.

In number theory, Dixon's factorization method ( also Dixon's random squares method or Dixon's algorithm ) is a general-purpose integer factorization algorithm ; it is the prototypical factor base method, and the only factor base method for which a run-time bound not reliant on conjectures about the smoothness properties of values of a polynomial is known.

Freeman, Cameron and McGhie, in their description of the disturbances of thinking found in chronic schizophrenic patients, say, in regard to condensation, that `` the lack of adequate discrimination between the self and the environment, and the objects contained therein in itself is the prototypical condensation ''.

The prototypical conjugative plasmid is the F-plasmid, or F-factor.

Doom is notable for the weapons arsenal available to the marine, which became prototypical for first-person shooters.

In many language descriptions, particularly those of traditional European linguistics, the term tense is erroneously used to refer to categories that do not have time reference as their prototypical use, but rather are grammaticalisations of mood / modality ( e. g. uncertainty, possibility, evidentiality ) or aspect ( e. g. frequency, completion, duration ).

Cessation of dosing with morphine creates the prototypical opioid withdrawal syndrome, which, unlike that of barbiturates, benzodiazepines, alcohol, or sedative-hypnotics, is not fatal by itself in neurologically healthy patients without heart or lung problems ; it is in theory self-limiting in length and overall impact in that a rapid increase in metabolism and other bodily processes takes place, including shedding and replacement of the cells of many organs.

Likewise, Mande is often assumed to be the second-most distant branch based on its lack of the noun-class system prototypical of the Niger – Congo family.

However, these are not prototypical proverbs in that their application is limited to one domain.

The above series is a prototypical Dirichlet series that converges absolutely to an analytic function for s such that and diverges for all other values of s. Riemann showed that the function defined by the series on the half-plane of convergence can be continued analytically to all complex values.

The prototypical ultraluminous infrared galaxy, Arp 220 is located 250 million light-years from Earth ( redshift 0. 0181 ).

Notice again that this is probably not a fact about mass-count syntax, but about prototypical examples, since many singular count nouns have referents whose proper parts can be described by the same term.

This is because prototypical members of each class share the ability to change their form by accepting derivational or inflectional morphemes.

The monoid of partial functions is also regular, whereas the monoid of injective partial transformations is the prototypical inverse semigroup.

Many receptor enzymes have closely related structure and receptor tyrosine kinase activity, and it is said by Lehninger ( 2008 ) that the foundational or prototypical receptor enzyme, is insulin.

Therefore, they discounted the possibilities of either two radical cations reacting with each other, or two radicals reacting with each other, “ because the chloride ions at the surface of the crystal would prevent the radical cations or radicals from assuming positions suitable for dimerization .” Second, using 3-methylthiophene as a prototypical monomer, they performed quantum mechanical calculations to determine the energies and the total atomic charges on the carbon atoms of the four possible polymerization species ( neutral 3-methylthiophene, the radical cation, the radical on carbon 2, and the radical on carbon 5 ).

A common trope is a portal or artifact that connects worlds together, prototypical examples being the wardrobe in C. S. Lewis ' The Lion, the Witch, and the Wardrobe, or the sigil in James Branch Cabell's The Cream of the Jest.

According to the Beer Judge Certification Program, the term California common beer, designated style 7B, is " narrowly defined around the prototypical Anchor Steam example ", and other commercial examples include Skyscraper Brewing Company Lug Nut Lager, Southampton West Coast Steam Beer, Old Dominion Victory Amber, Flying Dog Old Scratch Amber Lager, and Eagle Steam Beer.

Sound duration is a common factor in reduction: In fast speech, vowels are reduced due to physical limitations of the articulatory organs, e. g., the tongue cannot move to a prototypical position fast or completely enough to produce a full-quality vowel.

< gallery caption =" Hasse diagrams of the two prototypical non-distributive lattices " align =" right ">

These are described as tonal word accents by Scandinavian linguists, because there is a set number of tone patterns for polysyllabic words ( in this case, two ) that is independent of the number of syllables in the word ; in more prototypical pitch-accent languages, the number of possible tone patterns is not set but increases in proportion to the number of syllables.

Members of the kinesin superfamily vary in shape but the prototypical kinesin-1 is a heterotetramer whose motor subunits ( heavy chains or KHCs ) form a protein dimer ( molecule pair ) that binds two light chains ( KLCs ).