A compact five-element integrated ultrasonic transducer was designed and manufactured for the inspection of defects in split pins control rod guide tubes nuclear power plants. The consists three types elements to detect cracks entire volume pins. In design, two main factors were investigated: coupling confined space measurement sensitivity. experimental results demonstrated that developed has g...

in this paper, countable compactness and the lindel¨of propertyare defined for l-fuzzy sets, where l is a complete de morgan algebra. theydon’t rely on the structure of the basis lattice l and no distributivity is requiredin l. a fuzzy compact l-set is countably compact and has the lindel¨ofproperty. an l-set having the lindel¨of property is countably compact if andonly if it is fuzzy compact. ...

Let r be a fixed positive integer. It is shown that, given any partial orders >1, . . ., >r on the same n-element set P , there exist disjoint subsets A,B ⊂ P , each with at least n1−o(1) elements, such that one of the following two conditions is satisfied: (1) there is an i (1 ≤ i ≤ r) such that every element of A is larger than any element of B in the partial order >i, or (2) no element of A ...

We give an example of a compact connected Lie group the lowest rank such that mod 2 cohomology ring its classifying space has nonzero nilpotent element.

The Kestelman-Borwein-Ditor Theorem asserts that a non-negligible subset of R which is Baire (= has the property, BP) or measurable shift-compact: it contains some subsequence any null sequence to within translation by an element set. Here effective proofs are recognized yield (i) analogous category and Haar-measure metrizable generalizations for groups locally compact respectively, (ii) permit...

Axial Flux Permanent Magnet (AFPM) machines are attractive candidates for Electric Vehicles (EVs) applications due to their axial compact structure, high efficiency, high power and torque density. This paper presents general design characteristics of AFPM machines. Moreover, torque density of the machine which is selected as main objective function, is enhanced by using Genetic Algorithm (GA) a...

In this paper, countable compactness and the Lindel¨of propertyare defined for L-fuzzy sets, where L is a complete de Morgan algebra. Theydon’t rely on the structure of the basis lattice L and no distributivity is requiredin L. A fuzzy compact L-set is countably compact and has the Lindel¨ofproperty. An L-set having the Lindel¨of property is countably compact if andonly if it is fuzzy compact. ...

Abstract Consider a proper, isometric action by unimodular locally compact group $G$ on Riemannian manifold $M$ with boundary, such that $M/G$ is compact. For an equivariant, elliptic operator $D$ $M$, and element $g \in G$, we define numerical index ${\operatorname {index}}_g(D)$, in terms of parametrix for trace associated to $g$. We prove equivariant Atiyah–Patodi–Singer theorem this index. ...

This paper is an investigation of shift invariant subspaces of L2(G), where G is a locally compact abelian group, or in general a local field, with a compact open subgroup. In this paper we state necessary and sufficient conditions for shifts of an element of L2(G) to be an orthonormal system or a Parseval frame. Also we show that each shift invariant subspace of L2(G) is a direct sum of princi...