Help


[permalink] [id link]
+
Page "Homomorphism" ¶ 28
from Wikipedia
Edit
Promote Demote Fragment Fix

Some Related Sentences

Because and abstract
Because these two definitions can be transformed simply by into the other, some formulae have this alternatingly (- 1 )< sup > n </ sup >- term and others not depending on the context, but it is not possible to decide in favor of one of these definitions to be the correct or appropriate or natural one ( for the abstract Bernoulli numbers ).
Because of the complex and abstract nature of love, discourse on love is commonly reduced to a thought-terminating cliché, and there are a number of common proverbs regarding love, from Virgil's " Love conquers all " to The Beatles ' " All You Need Is Love ".
Because of their nature, cards are well suited for abstract games, as opposed to the simulation aspects of wargames.
Because of the abstract nature of the music — and, arguably, the lack of lyrics — they did not attract censorship from the authorities, unlike many other Western bands.
Because lighting design is much more abstract than costume or scenic design, it is sometimes difficult for the lighting designer to accurately convey his ideas to the rest of the production team.
Because of her work's added spiritual dimension, which became more and more dominant after 1967, she preferred to be classified as an abstract expressionist.
Because of his development of the concept of a " one god greatest among gods and men " that is abstract, universal, unchanging, immobile and always present, Xenophanes is often seen as one of the first monotheists, in the Western philosophy of religion, although the quotation that seems to point to Xenophanes's monotheism also refers to multiple " gods " who the supreme God is greater than.
Because an abstract summarizes an article, it is very useful for either browsing or keyword searching.
Because the concepts in physics and politics are at times very complicated or very abstract, Frayn uses several controlling images to better relate certain ideas to his audience.
Because humans have parts of happiness, happiness is concrete and not abstract.
Because these four symbols can be named and easily identified as everyday, concrete objects (" apple ", " house ", " window ", and " ring "), they can be recognized at an earlier age than abstract letters or numbers can be.

Because and algebra
Because of this, the term B * algebra is rarely used in current terminology, and has been replaced by the ( overloading of ) the term ' C * algebra '.
Because they are fermions the anti-commutators of the Jordan algebra become commutators.
Because R is the Lie algebra of the simply connected Lie group R, this induces a Lie group homomorphism c: R → G so that
Because the exponential map is surjective on some neighbourhood N of e, it is common to call elements of the Lie algebra infinitesimal generators of the group G. The subgroup of G generated by N is the identity component of G.
Because linear algebra is such a well-developed theory, nonlinear mathematical models are sometimes approximated by linear ones.
Because floating point versions of orthogonal matrices have advantageous properties, they are key to many algorithms in numerical linear algebra, such as QR decomposition.
Because of this, many of the terms used in matroid theory resemble the terms for their analogous concepts in linear algebra or graph theory.
Because of the generality of the tensor algebra, many other algebras of interest can be constructed by starting with the tensor algebra and then imposing certain relations on the generators, i. e. by constructing certain quotient algebras of T ( V ).
Because of the Lie algebra relations,

Because and studies
Because, like many other children, he intensely disliked practicing Czerny Etudes, he composed his own studies.
Because of its wealth of experience, the Organization for European Economic Cooperation could help with the initial studies needed.
Because anthropology developed from so many different enterprises ( see History of Anthropology ), including but not limited to fossil-hunting, exploring, documentary film-making, paleontology, primatology, antiquity dealings and curatorship, philology, etymology, genetics, regional analysis, ethnology, history, philosophy, and religious studies, it is difficult to characterize the entire field in a brief article, although attempts to write histories of the entire field have been made.
Because of these different forms of interaction, the three types of radiation are suitable for different crystallographic studies.
Because reported AIDS cases in Africa and other parts of the developing world include a larger proportion of people who do not belong to Duesberg's preferred risk groups of drug addicts and male homosexuals, Duesberg writes on his website that " There are no risk groups in Africa, like drug addicts and homosexuals ," However, many studies have addressed the issue of risk groups in Africa and concluded that the risk of AIDS is not equally distributed.
Because Formalin-fixed, paraffin-embedded ( FFPE ) tissues may be stored indefinitely at room temperature, and nucleic acids ( both DNA and RNA ) may be recovered from them decades after fixation, FFPE tissues are an important resource for historical studies in medicine.
Because bees carry an electrostatic charge, and can attract other particles, the same techniques of melissopalynology can be used in area environmental studies of radioactive particles, dust or particulate pollution.
Because of his poor grades, his father forced him to transfer to the far more serious and academically oriented University of Berlin, where his legal studies became less significant to him than excursions into philosophy and history.
Because these new technologies allow instant communication across the world ( chat rooms and instant messaging, online video games, video conferencing ), interpersonal communication is an important element in new media studies.
Because of its instability, chemical studies of promethium are incomplete.
Because of the controversial nature of this topic various studies yielded different results.
Because the cost of female condoms is higher than male condoms, there have been studies carried out with the aim of detecting whether they can be reused.
Because of the presence of such oxide minerals, basalt can acquire strong magnetic signatures as it cools, and paleomagnetic studies have made extensive use of basalt.
Because political economy is not a unified discipline, there are studies using the term that overlap in subject matter, but have radically different perspectives:
Because studies have shown that problems in the primary motor cortex are found in patients who suffer from CRPS, treatments have been developed that focus on normalizing motor representations in that part of the brain.
Because his studies were to be in the fields of law, economics, and finance, he was immediately in conflict with his hopes to study mathematics.
Because of the environmental impact studies, construction has been halted for the time being.
Because of her heavy schedule at the time, she decided to leave her studies at San Diego State University ( then known as San Diego State College ).
Because of similarities between the innate immune system of insects and mammals, insects can replace mammals in certain types of studies.
Because it tends to migrate close to shore — generally within of land — it may be detrimentally affected by the construction of near-shore wind farms ; studies indicate a high level of avoidance of wind farm areas, though deaths due to direct strikes with the turbines appear to be uncommon.
Because neighborhood traffic management studies have shown that often it is the residents themselves who are contributing to the perceived speeding problem within the neighborhood, it is stressed ( for example in Hass-Klau et al, 1992 ) that the most effective traffic calming plans will entail all three components, and that engineering measures alone will not produce satisfactory results.
Because the margay is mostly nocturnal and is naturally rare in its environment, most dietary studies have been based on stomach contents and fecal analysis.
Because the sample size of many molecular studies available to date is small, mtDNA results must be considered with caution.
Because each profile is designed to prepare pupils for certain areas of study at the tertiary level, some hbo and wo studies require a specific profile because of specific basic knowledge is required.

1.356 seconds.