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(1) For all sets X1, X2 and for all sets a1, a2 holds [:X1 7−→ a1, X2 7−→ a2 :] = [:X1, X2 :] 7−→ 〈a1, a2〉. Let I be a set. One can check that 0I is function yielding. Next we state two propositions: (2) For all functions f , g holds x(g · f ) = g ·x f . (3) For all functions f , g, h holds x( f · [:g, h :]) = x f · [:h, g :]. Let f be a function yielding function. Observe that x f is function ...
heuristics are often used to provide solutions for flow shop scheduling problems.the performance of a heuristic is usually judged by comparing solutions and run times on test cases.this investigation proposes an analytical alternative ,called asymptotic convergence ,which tests the convergence of the heuristic to a lower bound as problem size grows. the test is a stronger variation of worst cas...
one of the most important number sequences in mathematics is fibonacci sequence. fibonacci sequence except for mathematics is applied to other branches of science such as physics and arts. in fact, between anesthetics and this sequence there exists a wonderful relation. fibonacci sequence has an importance characteristic which is the golden number. in this thesis, the golden number is observed ...
in this thesis, using concepts of wavelets theory some methods of the solving optimal control problems (ocps). governed by time-delay systems is investigated. this thesis contains two parts. first, the method of obtaining of the ocps in time delay systems by linear legendre multiwavelets is presented. the main advantage of the meth...
this study considers the level of increase in customer satisfaction by supplying the variant customer requirements with respect to organizational restrictions. in this regard, anp, qfd and bgp techniques are used in a fuzzy set and a model is proposed in order to help the organization optimize the multi-objective decision-making process. the prioritization of technical attributes is the result ...
Indexing techniques support the retrieval and maintenance of large sets of terms There is also an indexing method called substi tution tree indexing that e ciently handles sets of substitutions We present three advanced indexing operations for substitution trees The multi merge for the simultaneous uni cation of sets of substitutions the subsumption operation on two sets of substitutions and th...
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