where GL ( V ) is the general linear group of V and Z ( V ) is the subgroup of all nonzero scalar transformations of V ; these are quotiented out because they act trivially on the projective space and they form the kernel of the action, and the notation " Z " reflects that the scalar transformations form the center of the general linear group.

Each school reflects a unique al-urf or culture ( a cultural practice that was influenced by traditions ), that the classical jurists themselves lived in, when rulings were made.

Written in Latin, it reflects classical Roman concepts of virtue and heroism, and was widely available in Shakespeare's day.

Much of the philosophy of traditional Chinese medicine derived from empirical observations of disease and illness by Taoist physicians and reflects the classical Chinese belief that individual human experiences express causative principles effective in the environment at all scales.

In addition, certain statements from classical theological liberalism are easily mistaken for preterism, as they hold that the biblical record accurately reflects Jesus ' and the Apostles ' belief that all prophecy was to be fulfilled within their generation.

The above reflects a classical, functional description of how we work as cognitive, thinking systems.

While Wyatt's poetry reflects classical and Italian models, he also admired the work of Chaucer and his vocabulary reflects Chaucer ’ s ( for example, his use of Chaucer ’ s word newfangleness, meaning fickle, in They flee from me that sometime did me seek ).

The name Haydn was a homage to the classical composer ; the spelling was later revised to Hayden, which reflects the way it was pronounced.

According to David Silverman, the Nefertiti bust reflects the classical Egyptian art style, deviating from the " eccentricities " of the Amarna art style, which was developed in Akhenaten's reign.

The Teke dialect is sometimes ( especially in Afghanistan ) referred to as " Chagatai ", but like all Turkmen dialects it reflects only a limited influence from classical Chagatai.

The work reflects Brahms ' effort to combine the piano with the orchestra as equal partners, unlike earlier classical concertos, where the orchestra effectively accompanied the pianist.

The phase ambiguity reflects the fact that, as Witten has shown, the quantum correlation functions are not fully defined by the classical data.

The group's work is strongly influenced by classical music, particularly inspired by the minimalist music of the late 20th century, and its composition reflects this.

He was known for combining the vernacular style of writing with classical Chinese writing techniques, and his writing also reflects a strong influence from western literature.

Such scholars would argue that classical music is rarely about ‘ nothing ’, but reflects aesthetic tastes that are themselves influenced by culture, politics and philosophy.

Although Late Latin reflects an upsurge of the use of Vulgar Latin vocabulary and constructs, it remains to a large extent classical in overall features, depending on the author.

This reflects the gender connotations the concept ( and especially the word " androgynos ") had in classical Greek society, where women were seen as naturally subordinate to men.

Contemporary Iranian literature is influenced by classical Persian poetry, but also reflects the particularities of modern day Iran, through writers such as Houshang Moradi-Kermani, the most translated modern Iranian author, and poet Ahmad Shamlou.

Its name reflects its similarity to classical depictions of Gautama Buddha, seated in a meditation pose with a forehead mark ( tikka ) and traditional topknot ( ushnisha ).

The poet also notes the “‘ heavy change ’ suffered by nature now that Lycidas is gone — a ‘ pathetic fallacy ’ in which the willows, hazel groves, woods, and caves lament Lycidas ’ s death .” In the following section of the poem, “ The shepherd-poet reflects … that thoughts of how Lycidas might have been saved are futile … turning from lamenting Lycidas ’ s death to lamenting the futility of all human labor .” The next section is followed by that of the voice of Phoebus, “ the sun-god, an image drawn out of the mythology of classical Roman poetry, replies that fame is not mortal but eternal, witnessed by Jove ( God ) himself on judgment day .” At the end of the poem, King / Lycidas appears as a resurrected figure, being delivered by the waters that lead to his death: “ Burnished by the sun's rays at dawn, King resplendently ascends heavenward to his eternal reward .”

Primary radars are a " classical " radar which reflects all kind of echoes, including aircraft and clouds.

The culture milieu in Barasat reflects the usual culturel characteristics of similar small towns in Bengal. The educated middle-class community continues to perpetuate the Bengali cultural manifestations like drama, recitation, classical music, songs and dances, while young Turks take a rather revolutionary stand and let out their feeling in the form of minor little magazines and socially relevant functions like health check up camps etc.

Intersectionality holds that the classical conceptualizations of oppression within society, such as racism, sexism, homophobia, and religion-based bigotry, do not act independently of one another ; instead, these forms of oppression interrelate, creating a system of oppression that reflects the " intersection " of multiple forms of discrimination.

Smith's view that human labour – but not unproductive labour – is the source of wealth reflects the classical position that all commodities can be reduced to actual labour and produced inputs which in turn resolve into labour and former inputs.

* Structural unemployment — This reflects a mismatch between the skills and other attributes of the labour force and those demanded by employers.

Current labour law reflects the historic interrelation between the state and the Confederation of Mexican Workers, the labour confederation officially aligned with the Institutional Revolutionary Party ( the Institutional Revolutionary Party, or PRI ), which ruled Mexico under various names for more than seventy years.

Human development theory reflects both distinctions: it sees labour as the yield of individual capital in the same way that neoclassical macro-economics sees financial capital as the yield of the looser idea of human capital.

However, total employment is less recommended as a measure of labour productivity because it neither reflects changes in the average work time per employee nor changes in multiple job holdings and the role of self-employed persons ( nor in the quality of labour ).

For Ricardo, the value of reproducible commodities and services reflects the relative difficulties of production counted in labour units: direct labour plus the dated labour of the past embedded in inputs ( capital ) and corrected by interests.

Also, the graph is not to scale and reflects only a small portion at the far end of an individual's supply curve of labour and then only at a point in time.

However, the importance of the law is evident within the Book of Ruth, and the story reflects a need to stay within legal boundaries.

As invoked in everyday life, the " law " usually reflects bad statistics or wishful thinking rather than any mathematical principle.

After introducing the moral law, Lewis argues that thirst reflects the fact that people naturally need water, and there is no other substance which satisfies that need.

Although Orthodox Jews believe that many elements of current religious law were decreed or added as " fences " around the law by the rabbis, all Orthodox Jews believe that there is an underlying core of Sinaitic law and that this core of the religious laws Orthodox Jews know today is thus directly derived from Sinai and directly reflects the Divine will.

The evolution of European law reflects this aversion to adoption.

) The negative slope of the indifference curve reflects the law of diminishing marginal utility.

In most common law jurisdictions, the general concept and analysis of fact reflects fundamental principles of Jurisprudence, and is supported by several well-established standards.

Robert W. Tucker and David C. Hendrickson argued that it reflects a turn away from international law, and marks the end of American legitimacy in foreign affairs.

The provision forbidding state law bills of attainder, Article I, Section 10, reflects the importance that the framers attached to this issue.

; Sodd's Second Law: Sooner or later, the worst possible set of circumstances is bound to occur one way or another, it also reflects with Newton's Third law of motion i. e. for every action there is an equal reaction in opposite direction.

Supporting the Leach and Rubin arguments, Volcker testified that Congressional inaction had forced banking regulators and the courts to play “ catch-up ” with market developments by “ sometimes stretching established interpretations of law beyond recognition .” In 1997 Volcker testified this meant the “ Glass-Steagall separation of commercial and investment banking is now almost gone ” and that this “ accommodation and adaptation has been necessary and desirable .” He stated, however, that the “ ad hoc approach ” had created “ uneven results ” that created “ almost endless squabbling in the courts ” and an “ increasingly advantageous position competitively ” for “ some sectors of the financial service industry and particular institutions .” Similar to the GAO in 1988 and Representative Markey in 1990 Volcker asked that Congress “ provide clear and decisive leadership that reflects not parochial pleadings but the national interest .”

The term intellectual property reflects the idea that this subject matter is the product of the mind or the intellect, and that IP rights may be protected at law in the same way as any other form of property.

The Master ’ s dissertation reflects an ability to conduct independent research, whereas the Doctoral thesis will, in addition, constitute an original contribution to the field of law in question.

The code had many articles concerning the Church, which reflects Byzantine Church law ; Byzantine civil law codes, especially the late-ninth-century compilation by Basil I and Leo VI, also influenced the code.

The Equality Act 2010 reaches beyond employment, into access to private and public services, but in the field of work it largely reflects the EU's case law and the Equal Treatment Directive for gender, the Racial Equality Directive and the Employment Equality Framework Directive for disability, sexual orientation, religion or belief and age, ree major EU Equality Directives.

As the interview with the local reporter begins, the film flashes back several decades into the past as Stoddard reflects on his first arrival at Shinbone by stagecoach to establish a law practice.

Judith and Martin Land, Adoption Detective: Memoir of an Adopted Child, ( 2011 ), page XI, describe the destiny of orphans as a lifetime of squalor, poverty, and crime because most European law reflects an aversion to adoption.

The MPS plays a central role in Keynesian economics as it quantifies the saving-income relation, which is the flip side of the consumption-income relation, and thus it reflects the fundamental psychological law.

" This reflects St. Paul the Apostle's argument in Romans 2: 15, that the " work of the law written in Gentiles ' hearts, their conscience bearing witness to them.

It reflects the moral contradiction of an age that tried to legislate morality in the form of alcohol prohibition and as a consequence generated organized crime and put many average Americans who still wanted to drink outside the law.