فهرست مطالب
Iranian Journal of Mathematical Sciences and Informatics
Volume:5 Issue: 1, May 2010
- تاریخ انتشار: 1389/03/01
- تعداد عناوین: 7
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Page 1Let V and W be two real vector spaces and let ∼ be a relation on both V and W. A linear function T: V → W is said to be a linear preserver (respectively strong linear preserver) of ∼ if Tx ∼ Ty whenever x ∼ y (respectively Tx ∼ Ty if and only if x ∼ y). In this paper we characterize all linear functions T: M_{n,m} → M_{n,k} which preserve or strongly preserve multivariate and directional majorization.
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Page 7In this paper using the Clifford algebra over R4 and its matrix representation, we construct Clifford scaling functions and Clifford wavelets. Then we compute related mask functions and filters, which arise in many applications such as quantum mechanics.
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Page 19Let R be a commutative integral domain with quotient field K and let P be a nonzero strongly prime ideal of R. We give several characterizations of such ideals. It is shown that (P: P) is a valuation domain with the unique maximal ideal P. We also study when P^{−1} is a ring. In fact, it is proved that P^{−1} = (P: P) if and only if P is not invertible. Furthermore, if P is invertible, then R = (P: P) and P is a principal ideal of R.
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Page 27In this paper we will try to introduce a good smoothness notion for a functor. We consider properties and conditions from geometry and algebraic geometry which we expect a smooth functor should has.
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Page 41In this paper, we establish new Cebysev type integral inequalities involving functions whose derivatives belong to L_{p} spaces via certain integral identities.
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Page 49It is shown that the result of Tso-Wu on the elliptical shape of the numerical range of quadratic operators holds also for the C*-algebra numerical range.
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Page 55We prove a general form of bit flip formula for the quantum Fourier transform on finite abelian groups and use it to encode some general CSS codes on these groups.