A new approach to network design to obtain optimal parameter values simultaneously with an optimal set of component tolerances is proposed. An automated scheme could start from an arbitrary initial acceptable or unacceptable design and under appropriate restrictions stop at an acceptable design which is optimum in the worst case sense for the obtained tolerances.

Tolerances of electronic circuit parameters play an important role in our judgement of circuit functionality. They must be considered both at the circuit design and testing stages. This paper discusses a problem of tolerances in a symbolic network analysis. Using topological analysis combined with operations on discrete random variables, we can predict behavior of a circuit with toleranced para...

In this paper, we consider tolerances induced by irredundant coverings. Each tolerance R on U determines a quasiorder .R by setting x .R y if and only if R(x) ⊆ R(y). We prove that for a tolerance R induced by a covering H of U , the covering H is irredundant if and only if the quasiordered set (U,.R) is bounded by minimal elements and the tolerance R coincides with the product &R ◦.R. We also ...

We show that for any tolerance R on U , the ordered sets of lower and upper rough approximations determined by R form ortholattices. These ortholattices are completely distributive, thus forming atomistic Boolean lattices, if and only if R is induced by an irredundant covering of U , and in such a case, the atoms of these Boolean lattices are described. We prove that the ordered set RS of rough...

the concept of geometric-arithmetic indices (ga) was put forward in chemical graph theoryvery recently. in spite of this, several works have already appeared dealing with these indices.in this paper we present lower and upper bounds on the second geometric-arithmetic index(ga2) and characterize the extremal graphs. moreover, we establish nordhaus-gaddum-typeresults for ga2.

continuing the work k. c. das, i. gutman, b. furtula, on second geometric-arithmetic indexof graphs, iran. j. math chem., 1(2) (2010) 17-28, in this paper we present lower and upperbounds on the third geometric-arithmetic index ga3 and characterize the extremal graphs.moreover, we give nordhaus-gaddum-type result for ga3.

In mechanical engineering and architecture, structural elements with low material consumption and high loadbearing capabilities are essential for light-weight and even self-supporting constructions. This paper deals with so called point-folding elements – non-planar, pyramidal panels, usually formed from thin metal sheets, which exploit the increased structural capabilities emerging from folds ...

Analysis and allocation of tolerance are the typical problems in tolerance planning for the assembly and its components. This paper presents the developed simulator which is able to assist in solving tolerance planning problems in production processes, both in manufacturing and assembly processes. The paper also shows the benefits of this simulator which leads to quality characterisation and im...

Greenwich and Jahr-Schaffrath (1995) introduced an index Cpp, a simple transformation of the index C∗ pm, which provides an uncontaminated separation between information concerning the process accuracy and process precision. Unfortunately, the index Cpp inconsistently measures process capability in many cases and thus reflects process potential and performance inaccurately. In this paper, we co...

PURPOSE To determine the relative dose rate distribution around the new (125)I brachytherapy source IsoSeed I25.S17plus and report results in a form suitable for clinical use. Results for the new source are also compared to corresponding results for other commercially available (125)I sources of similar design. MATERIAL AND METHODS Monte Carlo simulations were performed using the MCNP5 v.1.6 ...