Such a series of rules converts a theoretical underlying representation into a surface form that is actually heard.

Such a representation on perpendicular axes lends itself to straightforward implementation.

Such existence itself is a representation and concretization of divine conceptualizations: there is first the idea, then the concrete, or ‘ objective ’, manifestation commensurate with that idea.

However others take the film's approach to be a direct representation on the character's thought patterns in a time of crisis: " Such a film should indeed endow the cinema with a wholly new dimension of subjective experience, permitting the audience to see a human being both as others see him and as he sees himself.

Such numerical representation applies when a quantity is expressed using a sequence of units that are each a multiple of the next smaller one, but not by the same factor.

Given an arbitrary category C, a representation of G in the category C is a functor from G to C. Such a functor selects an object of C and a subgroup of automorphisms of that object.

Such a task involves ( i ) registration of the training examples to a common pose, ( ii ) probabilistic representation of the variation of the registered samples, and ( iii ) statistical inference between the model and the image.

Such political parties rarely win legislative elections, in large part, because proportional representation is rarely used, and Congress has banned it for federal elections since 1967.

Real and pseudoreal representations of a group G can be understood by viewing them as representations of the real group algebra R. Such a representation will be a direct sum of central simple R-algebras, which, by the Artin-Wedderburn theorem, must be matrix algebras over the real numbers or the quaternions.

Such an author is making a choice based on the apparent visual representation, but a visitor to the author's web page can offer a very different rendering in their browser.

Such a method would be useful for computing where representation of the halo system can be extremely difficult.

Such representations and formulations are known as quadratic TFRs or TFDs ( QTFRs or QTFDs ) because the representation is quadratic in the signal.

Such resulting representations are known as linear TFRs because the representation is linear in the signal.

In mathematics, especially in the fields of group theory and representation theory of groups, a class function is a function f on a group G, such that f is constant on the conjugacy classes of G. In other words, f is invariant under the conjugation map on G. Such functions play a basic role in representation theory.

Such a sum is called the Zeckendorf representation of.

Such a representation may give rise to conscious urges that feel as if they arise from within the body.

Such a representation has the potential to ' generate'all process models that share these features.

Such a representation can be directly played back by a SMIL or VRML player, but can also be binarised to become a native MPEG-4 representation that can be played by an MPEG-4 player.

Such analysis would typically employ software capable of geospatial representation and processing, and apply analytical methods to terrestrial or geographic datasets, including the use of geographic information systems and geomatics.

Such a definition is called a vertex representation ( V-representation or V-description ).

Such definition is called a half-space representation ( H-representation or H-description ).

Such a representation can be directly played back by a SMIL or VRML player, but can also be binarised to become a native MPEG-4 representation that can be played by an MPEG-4 player.

The Dead Kennedys performed what appears to be their first new song in 24 years, " You're Such a Fake ", during their October 16, 2010, concert at the Rock and Roll Hotel in Washington, D. C.

Such poetry appears regularly in modern science fiction and horror fiction magazines.

Such appears the case in many traditional Islamic societies, and in Imperial China.

Such a separation appears to have taken place, but dates based on such methods can only produce an estimate of the latest possible date for domestication without excluding the possibility of an unknown period of earlier gene-flow between wild and domestic populations ( which will occur naturally as long as the domesticated population is kept within the habitat of the wild population ).

Such interpretation appears in the Similitudes of Enoch and 4 Ezra.

" Such concealment of character identity has resulted in some disparity as to how critics identify the book's main protagonists ; for example, while most find consensus that Festy King, who appears on trial in I. 4, is a HCE type, not all analysts agree on this – for example Anthony Burgess believes him to be Shaun.

Such comparisons reveal that the treatment effect of TMS appears at least as effective as a variety of antidepressant medication therapies, but with a substantial reduction in the adverse effect burden that complicates the use of antidepressant medications.

Such is the case in the Middle English romance The Awntyrs off Arthure ( The Adventures of Arthur ), in which the ghost of Guinevere's mother appears to her daughter and Gawain in Inglewood Forest.

Such " palatalized " consonants are not always phonetically palatalized ; e. g., in Russian, when undergoes palatalization, a palatalized sibilant offglide appears, as in тема.

Such was the exilarchate as it appears in Talmudic literature, the chief source for its history during the first period, and which provides our only information regarding the rights and functions of the exilarchate.

Such a proboscis generally appears above the central eye, or on the back, and is characteristic of a form of cyclopia called rhinencephaly or rhinocephaly.

Such task usually appears as the second to last or last challenge.

Such a challenge is usually a " Route Info " task, but it sometimes appears as a " Roadblock " task.

Such a person does not allow any opportunity for dialogue with others so that he may compare his opinion with theirs, and chooses to follow what appears to him most sound.

Such fantasies may be extended to role-playing, and the self-coined term used by fetishists who enjoy being transformed into what appears to be a " rubber doll " or " latex doll ".

Such climatic phenomenon ( of extraordinarily high rainfall levels ) appears to be periodical, having a cycle of about 70 years, and probably has occurred hundreds, perhaps thousands of times since a distant past.

Such a notion of liberatory initiation appears to have been borrowed from a Pashupata ( pāśupata ) tradition.

Such close inspection appears to many people to be an attack, but male and female cicada killers do not land on people and attempt to sting.

Such a point of view taken by the authors appears clearly erroneous because abuse by experts of rights and legitimate interests of citizens including trial participants, of course, may be a subject for a separate appeal.

Such appears to have been the state of things at the time of the Peloponnesian War ; but in the course of the following century a great change took place.

Such work appears to follow Giddens ' view of the constraining and enabling nature of social structure for human activity and the need to link structure and action.

Such an FCS generally appears immediately before the frame-ending delimiter.

Such was his role as King Bimbisara who retains Makube Rock's ambitious and self-preserving nature but also appears in a positive light as the only character wise and clearsighted enough to immediately recognise Siddhartha's greatness and grants him his name Buddha-The Enlightened One.

Such a custom appears to be a precursor of the 17th century custom of " swimming witches " perhaps related to the Anglo-Saxon law of trial by water.