Normal, or canonical, forms of the triangular group action (again, in the generic case) serve as the main technical tool in proving these results. The normal forms are also independently interesting, and are used to study triangular equivalence. (C) 2000 Elsevier Science Inc. All rights ...
: a canonical or standard fundamental form of a statement to which others can be reduced especially : a compound statement in the propositional calculus consisting of nothing but a conjunction of disjunctions whose disjuncts are either elementary statements or negations thereof The...
For a given formula an equivalent formula consisting of a disjunction ofmintermsonly is known as its principle disjunction normal form. Such a normal form is also said to be the sum-product canonical form. 4. Principle conjunctive normal form ...
Siegel, C.L.: On the integrals of canonical systems. Ann. Math.42, 806–822 (1941) Google Scholar Takens, F.: Singularities of vector fields. Publ. Math. I.H.E.S.43, 47–100 (1974) Google Scholar Download references Author information Authors and Affiliations Department of Mathematical...
This expanded normal form is actually a canonical form. • Exceptional case: Maple automatically expands products of the form (rational number) * (expanded polynomial). Therefore, in this particular case, the above description of the normal forms is not perfectly accurate, because a rational fa...
Barnes [13] gave several explicit Weierstrass canonical product forms of the double Gamma function (or Barnes G-function) Γ2 := 1/G, one of which is recalled here in t...Vasantha Kandasamy, Smarandache Rings - B - 2002 () ... WV Kandasamy - 《Mathematics》 被引量: 21发表: 2003年...
A. Deprit,Canonical transformations depending on a small parameter, Celest. Mech.1, 12–32 (1969). Google Scholar C. Elphick, E. Tirapequi, M. E. Brachet, P. Coullet and G. Iooss,A simple global characterization for normal forms of singular vector fields, Physica29D, 95–127 (1987...
The set of all possible quantum-mechanical variance matrices is shown to contain several interesting subsets or subfamilies, whose definitions are related to the fact that a general variance matrix is not diagonalizable within U(n). Definitions, characterizations, and canonical forms for variance ...
Log-canonical forms and log canonical singularities Log canonical singularityquasihomogeneous singularitygraded algebraKodaira dimensionFor a normal subvariety $V$ of ${\\bf C}^n$ with a good ${\\bf C}... H Flenner,M Zaidenberg - 《Mathematische Nachrichten》 被引量: 27发表: 2001年 On the...
Making special choices of basis then allows to construct the Kronecker canonical form. In a related manner, we construct the strangeness canonical form associated to weak equivalence.doi:10.48550/arXiv.1205.1138Olivier VerdierMathematicsO. Verdier. Reduction and normal forms of matrix pencils. Technical...