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Many aspects of the theory of Fourier series could be generalized by taking expansions in spherical harmonics rather than trigonometric functions.
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Many and aspects
Many of these aspects will be seen as comparable to those of the ideal detective, but where the detective is active and militant, the jazz musician is passive, almost a victim of society.
Many aspects of civilization were not yet sufficiently crystallized to find expression, nor could the simple economic and social foundations of this world support a lofty structure.
Many aspects of the syntax of Greek have remained constant: verbs agree with their subject only, the use of the surviving cases is largely intact ( nominative for subjects and predicates, accusative for objects of most verbs and many prepositions, genitive for possessors ), articles precede nouns, adpositions are largely prepositional, relative clauses follow the noun they modify, relative pronouns are clause-initial.
Many aspects of Judaism have also directly or indirectly influenced secular Western ethics and civil law.
Many aspects of the Kyrgyz national culture were retained despite suppression of nationalist activity under Joseph Stalin, who controlled the Soviet Union from the late 1920s until 1953.
Many aspects of modern public administration go back to him and a classic, hierarchically organised civil service of the Continental type is called " Weberian civil service ".
Many aspects of modernist design still persist within the mainstream of contemporary architecture today, though its previous dogmatism has given way to a more playful use of decoration, historical quotation, and spatial drama. In other arts such pragmatic considerations were less important.
Many models are used in the field defined at different levels of abstraction and modeling different aspects of neural systems.
Many Christians further affirm: " There is the Father, Son, and Holy Spirit, so that there are three aspects to God, and while we may not know the precise meaning of this doctrine ( of the Trinity ), nonetheless we can know that it is true.
Many aspects of Swedish academic culture in general, such as the white student cap, originated in Uppsala.
Many aspects of the battle have been the subject of both contemporary and historical debate, beginning right after the battle.
Many fundamental physical laws are mathematical consequences of various symmetries of space, time, or other aspects of nature.
Many aspects of Western life and culture, including European clothing and architecture, became incorporated into Māori society during the 19th century.
Many Boers who were dissatisfied with aspects of the British administration, in particular with Britain's abolition of slavery on 1 December 1834, elected to migrate away from British rule in what became known as the Great Trek.
Many of his works discuss ethical aspects of industrial inventions and processes already anticipated in the first half of the 20th century.
Many aspects of Semitic Canaanite material culture now reflected a Mesopotamian influence, and the entire region became more tightly integrated into a vast international trading network.
Many and theory
Many historians now hold the position that blitzkrieg was not a military theory, and the campaigns conducted by the German military in 1939 to circa, 1942 ( with the exception of Operation Barbarossa ) were improvised invasions put together and modified at the last moment and therefore was not a proper military strategy.
Many significant areas of mathematics can be formalised as categories, and the use of category theory allows many intricate and subtle mathematical results in these fields to be stated, and proved, in a much simpler way than without the use of categories.
Many scholars employ the term, especially those in the fields of history, cultural studies, and postcolonial theory.
Many active and historical figures made significant contribution to control theory, including, for example:
Many theoretical perspectives attempt to explain development ; among the most prominent are: Jean Piaget's Stage Theory, Lev Vygotsky's Social constructivism ( and its heirs, the Cultural Theory of Development of Michael Cole, and the Ecological Systems Theory of Urie Bronfenbrenner ), Albert Bandura's Social learning theory, and the information processing framework employed by cognitive psychology.
Many common axiomatic systems, such as first-order Peano arithmetic and axiomatic set theory, including the canonical Zermelo – Fraenkel set theory ( ZF ), can be formalized as first-order theories.
Many male feminists and pro-feminists are active in both women's rights activism, feminist theory, and masculinity studies.
* Compact groups or locally compact groups — Many of the results of finite group representation theory are proved by averaging over the group.
* Lie groups — Many important Lie groups are compact, so the results of compact representation theory apply to them.
Many of the broad, recent IQ tests have been greatly influenced by the Cattell – Horn – Carroll theory.
Many other ancient societies have references to this phenomenon, but it was not until the 19th and 20th centuries before the concept developed into scientific theory.
Many areas of mathematics and computer science have been brought to bear on the problem, including elliptic curves, algebraic number theory, and quantum computing.
Many current and recent philosophers — e. g., Daniel Dennett, Willard Van Orman Quine, Donald Davidson, John Rogers Searle, and Jerry Fodor — operate within a broadly physicalist or materialist framework, producing rival accounts of how best to accommodate mind — functionalism, anomalous monism, identity theory, and so on.
Many consumer products, such as automobiles and consumer electronics, use reliability theory in product design to reduce the probability of failure.
Many attempts have been made to derive its value ( currently measured at about 1 / 137. 035999 ) from theory, but so far none have succeeded.
Many prominent physicists, including Stephen Hawking, have labored for many years in the attempt to discover a theory underlying everything.
Many of the same entropy measures in classical information theory can also be generalized to the quantum case, such as Holevo entropy and the conditional quantum entropy.
Many of the accepted notions of a unified theory of physics since the 1970s, including string theory, superstring theory, M-theory, loop quantum gravity, all assume, and to some degree depend upon, the existence of the graviton.
Many of his works are central to modern rhetorical theory: A Rhetoric of Motives ( 1950 ), A Grammar of Motives ( 1945 ), Language as Symbolic Action ( 1966 ), and Counterstatement ( 1931 ).
Many forms of socialist theory hold that human behaviour is largely shaped by the social environment.
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