The modern trend in high power laser applications such as welding, cutting and surface hardening lies in the use of solid-state lasers. The output beam of these lasers is characterized by a Gaussian intensity distribution. However, the laser beams with different intensity distributions, e.g. top-hat, are preferable in various applications. In this paper we present a new type of deformable mirror suitable for the corresponding laser beam shaping. The deformation of the mirror is achieved by an underlying array of actuators and a pressurized coolant that also provides the necessary cooling. We describe the results of the surface shape measurement using a 3D scanner for different settings of actuators. Further, we show the achieved intensity distributions measured by a beam profiler for a low power laser beam reflected from the mirror. and V poslední době nastává rozmach používání pevnolátkových laserů ve výkonových aplikacích, jako jsou laserové svařování, řezání a povrchové kalení. Výstupní svazek těchto laserů má gaussovské rozložení intenzity svazku. Pro výše uvedené aplikace by však v mnoha případech bylo žádoucí rozložení s konstantní intenzitou svazku v jeho průřezu, tzv. top-hat. Článek popisuje nový typ deformovatelného zrcadla vhodný pro transformaci rozložení intenzity ve svazku. Deformace zrcadla je vyvolána maticí tahových elementů připojených na zadní stranu tenkého zrcadla, které působí proti tlakové síle chladicí vody. Byl zhotoven funkční vzorek deformovatelného zrcadla. Bylo provedeno měření jeho tvaru povrchu pro tři nastavení tahových elementů pomocí 3D skeneru. Dále byla ověřena schopnost požadované transformace svazku užitím nízkovýkonového laseru s gaussovským rozložením a měřením odraženého svazku profilometrem intenzity.
In order to further understand a complex 3-D dynamical system proposed by Qi et al, showing four-wing chaotic attractors with very complicated topological structures over a large range of parameters, we study degenerate Hopf bifurcations in the system. It exhibits the result of a period-doubling cascade to chaos from a Hopf bifurcation point. The theoretical analysis and simulations demonstrate the rich dynamics of the system.
This paper addresses analytical investigations of degenerating PDE systems for phase separation and damage processes considered on nonsmooth time-dependent domains with mixed boundary conditions for the displacement field. The evolution of the system is described by a degenerating Cahn-Hilliard equation for the concentration, a doubly nonlinear differential inclusion for the damage variable and a quasi-static balance equation for the displacement field. The analysis is performed on a time-dependent domain which characterizes the nondegenerated elastic material regions. We choose a notion of weak solutions which consists of weak formulations of the Cahn-Hilliard system and the momentum balance equation, a variational inequality for the damage evolution and an energy inequality. For the introduced degenerating system, we prove global-in-time existence of weak solutions. The main results are sketched from our recent paper [WIAS preprint no. 1759 (2012)].
Probability logic studies the properties resulting from the probabilistic interpretation of logical argument forms. Typical examples are probabilistic Modus Ponens and Modus Tollens. Argument forms with two premises usually lead from precise probabilities of the premises to imprecise or interval probabilities of the conclusion. In the contribution, we study generalized inference forms having three or more premises. Recently, Gilio has shown that these generalized forms "degrade'' -- more premises lead to more imprecise conclusions, i. e., to wider intervals. We distinguish different forms of degradation. We analyse Predictive Inference, Modus Ponens, Bayes' Theorem, and Modus Tollens. Special attention is devoted to the case where the conditioning events have zero probabilities. Finally, we discuss the relation of degradation to monotonicity.
Let $r\ge 3$, $n\ge r$ and $\pi =(d_1,d_2,\ldots ,d_n)$ be a non-increasing sequence of nonnegative integers. If $\pi $ has a realization $G$ with vertex set $V(G)=\{v_1,v_2,\ldots ,v_n\}$ such that $d_G(v_i)=d_i$ for $i=1,2,\ldots , n$ and $v_1v_2\cdots v_rv_1$ is a cycle of length $r$ in $G$, then $\pi $ is said to be potentially $C_r''$-graphic. In this paper, we give a characterization for $\pi $ to be potentially $C_r''$-graphic.
A graph $G$ is degree-continuous if the degrees of every two adjacent vertices of $G$ differ by at most 1. A finite nonempty set $S$ of integers is convex if $k \in S$ for every integer $k$ with $\min (S) \le k \le \max (S)$. It is shown that for all integers $r > 0$ and $s \ge 0$ and a convex set $S$ with $\min (S) = r$ and $\max (S) = r+s$, there exists a connected degree-continuous graph $G$ with the degree set $S$ and diameter $2s+2$. The minimum order of a degree-continuous graph with a prescribed degree set is studied. Furthermore, it is shown that for every graph $G$ and convex set $S$ of positive integers containing the integer 2, there exists a connected degree-continuous graph $H$ with the degree set $S$ and containing $G$ as an induced subgraph if and only if $\max (S)\ge \Delta (G)$ and $G$ contains no $r-$regular component where $r = \max (S)$.
Belief functions can be taken as an alternative to the classical probability theory, as a generalization of this theory, but also as a non-traditional and sophisticated application of the probability theory. In this paper we abandon the idea of numerically quantified degrees of belief in favour of the case when belief functions take their vahies in partially ordered sets, perhaps enriched to lower or upper semilattices. Such structures seern to be the most general ones to which reasonable and nontrivial parts of the theory of belief functions can be extended and generalized.
Belief functions can be taken as an alternative to the classical probability theory, as a generalization of this theory, but also as a non-traditional and sophisticated application of the probability theory. In this paper we abandon the idea of nnmerically quantified degrees of belief in favour of the case when belief functions take their values in partially ordered sets, perhaps enriched to lower or upper semilattices. Such structures seern to be the most general ones to which reasoriable and nontrivial parts of the theory of belief functions can be extended and generalized.
Dehydroepiandrosterone (DHEA) and its sulphate-bound form (DHEAS) are important steroids mainly of adrenal origin. Their physiological and pathophysiological functions are not yet fully identified, although a number of various possible features have been hypothesized. Most popular is the description of the “hormone of youth” as the long-term dynamics of DHEA levels are characterized by a sharp age-related decline in the late adulthood and later. Low levels of DHEA are, however, associated not only with the ageing process but also with diabetes mellitus, cardiovascular diseases and some neurological or immunological entities. In the past decade, a number of brief studies have concentrated on these relationships and also on the role of exogenous DHEA in health, disease and human well-being. This article tries to summarize some of the most important facts achieved recently., P. Celec, L. Stárka., and Obsahuje bibliografii
This study aimed to examine relationships between DHEA(S), anthropometric parameters, oral glucose tolerance test derived data and lipid spectra in a Czech non-diabetic population. 380 healthy volunteers both with and without a family history of diabetes type 2 (DM2) were en rolled into the study (women: n=235, age 28.9±9.4 years, BMI 22.3±4.5 kg/m2, men: n=145, age 32.3±10.0 years, BMI 24.7±3.6 kg/m2). Spearman’s correlations (both without and with the adjustment for age, age and BMI), as well as ANCOVA were used. Non-adjusted data showed many “beneficial” correlations between DHEA(S) and both anthropometric and metabolic variables. Statistical analysis revealed that almost all correlations of DHEA(S) to adiposity and fat distribution in men as well as in women disappeared after the adjustment. There are, however, differences between men and women in the correlation of DHEA(S) to insulin sensitivity and lipid levels. The use of hormonal contraceptives (COC) is also an important factor in this relationship. In men and also in women using COC, DHEA-S after adjustment correlated positively with fasting and stimulated glucose, insulin and C-peptide, and negatively with insulin sensitivity. In this respect, the benefit of DHEA(S) supplementation seems - at least in terms of its alleged antiobesity and antidiabetogenic effects - to be more than controversial., B. Bendlová, J. Vrbíková, M. Hill, M. Vaňková, P. Lukášová, J. Včelák, D. Vejražková, K. Dvořáková, R. Hampl, K. Vondra, L. Stárka., and Obsahuje bibliografii a bibliografické odkazy