Results 251 to 260 of about 3,631,571 (293)

Singularities in the free-free dipole matrix element

Journal of Physics B: Atomic, Molecular and Optical Physics, 1993
The singular part, proportional to the delta -function of the momenta difference, of the dipole matrix element between two states of the continuous spectrum of an electron in the static field of the many-electron atom is calculated. This term is important in processes where photon emission takes place in the intermediate (virtual) state.
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Test Elements, Generic Elements and Almost Primitivity in Free Products

Algebra Colloquium, 2016
In [5, 6] the relationships between test words, generic elements, almost primitivity and tame almost primitivity were examined in free groups. In this paper we extend the concepts and connections to general free products and in particular to free products of cyclic groups.
Engel, Ann-Kristin, Fine, Benjamin, Rosenberger, Gerhard   +2 more
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Nilpotent elements of a free Jordan algebra

Siberian Mathematical Journal, 1985
The author settles the following well-known question: does the free Jordan algebra contain nonzero nilpotent elements ? It is proved that the free countable generated Jordan algebra over a field F of characteristic greater than 7 contains nonzero nilpotent elements and nonzero absolute zero divisors.
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Locking-Free Degenerated Isoparametric Shell Element

Applied Mathematics and Mechanics, 2001
An 8-noded locking-free degenerated isoparametric shell element is presented. A revised interpolation for shear strain terms was constructed in natural co-ordinate system such that all necessary modes (translation, rotation and constant curvature) are preserved, which can be used to eliminate shear locking.
Zhang, Xiangming, Wang, Anwen, He, Hanlin   +2 more
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Width of elements in free groups

Ukrainian Mathematical Journal, 1992
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Grigorchuk, R. I., Kurchanov, P. F.
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On Equivalent Sets of Elements in a Free Group

The Annals of Mathematics, 1936
together with the 'simple automorphism' which replaces a, by its inverse. Relative to this kind of equivalence we have very little to add to a paper by J. Nielsen,2 in which he gives a mechanical process for deciding whether or no two sets are equivalent and also a process for reducing (a) to one of a finite number of normal forms. When reduced in this
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Primitive elements of free lie algebras

Algebra and Logic, 1970
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Free radicals and trace elements

The Journal of Trace Elements in Experimental Medicine, 1998
The ·OH generated in the reaction of Fe2 or Cu+ with H2O2 initiates lipid peroxidation, which results in oxidative damage of tissues. This oxidative stress may play an important role in the pathological processes triggered by iron or copper overload. Iron overload in the liver was produced by various iron compounds such as Fe-dextran, Fe-NTA, carbonyl ...
Kimiko Hirayama, Akira Yasutake
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Generic elements of free groups

Archiv der Mathematik, 1995
Let \(\mathfrak V\) be a variety of groups defined by a set of laws \(\mathcal V\). An element \(w\) of a group \(G\) is called \(\mathfrak V\)-generic in \(G\) if \(w\) is in \({\mathcal V} (G)\), the verbal subgroup of \(G\) corresponding to \(\mathcal V\), and if whenever \(\alpha : H \to G\) is a group homomorphism with \(w = (u)\alpha\) for some \(
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[Transitional elements and free radicals].

Casopis lekaru ceskych, 2002
Iron and copper are essential trace elements, which in certain conditions, namely in the ionised form or in low-molecular complexes, can participate in single electron reactions and catalyse formation of free radicals, including the dangerous hydroxyl radical. Similar behavior have also some other transitive metals. Our overview is aimed on the role of
J, Racek, J, Eiselt, K, Opatrný
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