Transportation system safety and reliability pertain to the dominant factors affecting present life of human society. In this paper, we describe the method for an analysis and further subsequent optimization of complex transportation system safety and reliability based on their complex sensitivity investigation. Reasonable applications of this theoretical tool can also be used for improvement of complex transportation system resistance against terrorist activities.
Thermal comfort is defined as the mental condition that expresses satisfaction with the thermal environment. It is easy to understand this definition but it is difficult to express it by mathematical equations, because it is needed to take into account many of environmental and personal parameters. The Czech standards contain the equations that describe the thermal comfort through Predicted Mean Vote (PMV) and Predicted Percentage of Dissatisfied (PPD) indexes, also describe the thermal state by the operative temperature. The objective of this article is to prove, if it is possible to estimate the thermal comfort of the environment by using the globe temperature. and Obsahuje seznam literatury
The abstract Perron-Stieltjes integral in the Kurzweil-Henstock sense given via integral sums is used for defining convolutions of Banach space valued functions. Basic facts concerning integration are preseted, the properties of Stieltjes convolutions are studied and applied to obtain resolvents for renewal type Stieltjes convolution equations.
Let Th be a triangulation of a bounded polygonal domain Ω ⊂ R2 , Lh the space of the functions from C(Ω) linear on the triangles from Th and Πh the interpolation operator from C(Ω) to Lh. For a unit vector z and an inner vertex a of Th, we describe the set of vectors of coefficients such that the related linear combinations of the constant derivatives ∂Πh(u)/∂z on the triangles surrounding a are equal to ∂u/∂z(a) for all polynomials u of the total degree less than or equal to two. Then we prove that, generally, the values of the so-called recovery operators approximating the gradient ∇u(a) cannot be expressed as linear combinations of the constant gradients ∇Πh(u) on the triangles surrounding a.
Hankel operators and their symbols, as generalized by V. Pták and P. Vrbová, are considered. The present note provides a parametric labeling of all the Hankel symbols of a given Hankel operator $X$ by means of Schur class functions. The result includes uniqueness criteria and a Schur like formula. As a by-product, a new proof of the existence of Hankel symbols is obtained. The proof is established by associating to the data of the problem a suitable isometry $V$ so that there is a bijective correspondence between the symbols of $X$ and the minimal unitary extensions of $V$.
Closure GMV-algebras are introduced as a commutative generalization of closure MV-algebras, which were studied as a natural generalization of topological Boolean algebras.
Description of multiplication operators generated by a sequence and composition operators induced by a partition on Lorentz sequence spaces l(p, q), 1 < p ≤ ∞, 1 ≤ q ≤ ∞ is presented.