Equivalence relations

The objective for the current chapter is to investigate the effects of forces on particles: replacing multiple forces acting on a particle with a single equivalent or resultant force, relations between forces acting on a particle that is in a state of equilibrium.

32p thieugialam101 30-03-2015 62 6   Download

Lecture Data Structures: Lesson 34 provide students with knowledge about equivalence relations; electrical connectivity, where all connections are by metal wires, is an equivalence relation; the disjoint sets view; dynamic equivalence problem; discuss a solution to the union/find problem that for any sequence;...

14p hanthienngao 15-04-2022 22 2   Download

The objective of the thesis: Proposes filter-wrapper algorithms for fuzzy rough set based attribute reduction in decision tables to reduce the cardinality of reduct and increase significantly the classification accuracy.

28p extraenglish 24-05-2021 14 3   Download

Besides the post-translationally cyclizing catalytic Ala-Ser-Gly triad, Tyr110 and its equivalents are of the most conserved residues in the active site of phenylalanine ammonia-lyase (PAL, EC 4.3.1.5), histidine ammonia-lyase (HAL, EC 4.3.1.3) and other related enzymes. The Tyr110Phe muta-tion results in the most pronounced inactivation of PAL indicating the importance of this residue.

16p inspiron33 26-03-2013 44 5   Download

The ideal investment decision making technique is Net Present Value. N P V measures the equivalent present wealth contributed by the investment. NPV is given in NPV -- relates directly to the firm’s goal of wealth maximization -- employs the time value of money -- can be used in all types of investments -- can be adjusted to incorporate risk.

15p muaxuan102 21-02-2013 56 7   Download

We establish new results and introduce new methods in the theory of measurable orbit equivalence, using bounded cohomology of group representations. Our rigidity statements hold for a wide (uncountable) class of groups arising from negative curvature geometry.

55p noel_noel 17-01-2013 63 7   Download

We prove that a type II1 factor M can have at most one Cartan subalgebra A satisfying a combination of rigidity and compact approximation properties. We use this result to show that within the class HT of factors M having such Cartan subalgebras A ⊂ M , the Betti numbers of the standard equivalence relation associated with A ⊂ M ([G2]), are in fact isomorphism invariants for HT the factors M , βn (M ), n ≥ 0. The class HT is closed under amplifications HT HT and tensor products,

92p noel_noel 17-01-2013 38 7   Download

At a prime of ordinary reduction, the Iwasawa “main conjecture” for elliptic curves relates a Selmer group to a p-adic L-function. In the supersingular case, the statement of the main conjecture is more complicated as neither the Selmer group nor the p-adic L-function is well-behaved. Recently Kobayashi discovered an equivalent formulation of the main conjecture at supersingular primes that is similar in structure to the ordinary case. Namely, Kobayashi’s conjecture relates modified Selmer groups, which he defined, with modified padic L-functions defined by the first author.

19p tuanloccuoi 04-01-2013 51 5   Download

SMOOTH AND DISCRETE SYSTEMS—ALGEBRAIC, ANALYTIC, AND GEOMETRICAL REPRESENTATIONS ˇ FRANTISEK NEUMAN Received 12 January 2004 What is a differential equation? Certain objects may have different, sometimes equivalent representations. By using algebraic and geometrical methods as well as discrete relations, different representations of objects mainly given as analytic relations, differential equations can be considered.

10p sting12 10-03-2012 34 4   Download

Explore dioxins and dioxin-like compounds. • Summarize the structural similarities of cogeners of dioxins and furans. • Understand Toxicity Equivalency Factors (TEF) and Toxicity Equivalents (TEQ) for dioxins and related compounds. • Summarize the known processes and toxicological endpoints of dioxin exposure.

11p nguyenvanquan037 07-01-2011 71 9   Download