Synonymer & Oplysninger om | engelsk ord INVOLUTION

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Eksempler på brug af INVOLUTION i en sætning

• The Cayley–Dickson construction defines a new algebra as a Cartesian product of an algebra with itself, with multiplication defined in a specific way (different from the componentwise multiplication) and an involution known as conjugation.
• Archetypical examples of a *-ring are fields of complex numbers and algebraic numbers with complex conjugation as the involution.
• Another type of involution occurring in projective geometry is a polarity that is a correlation of period 2.
• The second definition is that a von Neumann algebra is a subalgebra of the bounded operators closed under involution (the *-operation) and equal to its double commutant, or equivalently the commutant of some subalgebra closed under *.
• In the case of operators on a Hilbert space, the Hermitian adjoint map on operators gives a natural involution, which provides an additional algebraic structure that can be imposed on the algebra.
• A wheel can be regarded as the equivalent of a commutative ring (and semiring) where addition and multiplication are not a group but respectively a commutative monoid and a commutative monoid with involution.
• Bartel gave his habilitation thesis "O płaskich utworach inwolucji stopnia czwartego szeregu zerowego" (On planar products of involution of the fourth series of the zero degree) in 1912, then received the title of associate professor.
• The second part instead contains an interpretation of history on a traditional basis: it starts from the origins of man to arrive at the modern concept of evolution in the Darwinian sense which, according to tradition, is considered a regress, an involution.
• The Kummer involution has 16 fixed points: the 16 2-torsion point of the Jacobian, and they are the 16 singular points of the quartic surface.
• A graded representation whose graded dimension is J, called the moonshine module, was explicitly constructed by Igor Frenkel, James Lepowsky, and Arne Meurman, giving an effective solution to the McKay–Thompson conjecture, and they also determined the graded traces for all elements in the centralizer of an involution of M, partially settling the Conway–Norton conjecture.
• The possible types of endomorphism ring have been classified, as rings with involution (the Rosati involution), leading to a classification of CM-type abelian varieties.
• Any real semisimple Lie algebra has a Cartan involution, and any two Cartan involutions are equivalent.
• Partial isometries (and projections) can be defined in the more abstract setting of a semigroup with involution; the definition coincides with the one herein.
• In theosophy, anthroposophy and Rosicrucianism, involution and evolution are part of a complex sequence of cosmic cycles, called Round.
• The author talks about the true man and his journey through involution, spiritual evolution and epigenesis, presenting practical methods to help the development of latent potentials in each one of us and how to transmute our latency into dynamic powers in order to achieve, according to the author, direct knowledge and conscientious work in the inner planes.

• Joy and happiness is indeed ever increasing in this world for those who have Lilavati clasped to their throats, decorated as the members are with neat reduction of fractions, multiplication and involution, pure and perfect as are the solutions, and tasteful as is the speech which is exemplified.

• suggested using the centralizers of involutions of simple groups as the basis for the classification of finite simple groups, as the Brauer–Fowler theorem shows that there are only a finite number of finite simple groups with given centralizer of an involution.
• For most equivalence problems, there are only four cases: complete reduction, involution, prolongation, and degeneracy.
• The technique of the proof is a combinatorial analogue of the topological principle that the Euler characteristics of a topological space with an involution and of its fixed-point set have the same parity and is reminiscent of the use of sign-reversing involutions in the proofs of combinatorial bijections.
• After delivery, leukorrhea accompanied by backache and foul-smelling lochia (post-partum vaginal discharge, containing blood, mucus, and placental tissue) may suggest the failure of involution (the uterus returning to pre-pregnancy size) due to infection.

Sideforberedelse tog: 284,07 ms.