Abstract:
The applicability of novel rapid prototyping methods and techniques for improving various stages of rapid product development is described in this study. In addition to the conventional prototyping, functional prototypes with various properties may be generated. Finite element simulations and novel experimental techniques are successfully used for improve the prototyping process both on a macroscopic and on a microscopic scale. The 2 component prototyping offers new options for 2k industrial component design and for biomodelling. / Ovaj rad opisuje primjenjivost novih postupaka brze proizvodnje prototipova i metoda za pobolj anje raznih stupnjeva brzog razvoja proizvoda. Osim konvencionalne proizvodnje prototipova mogu se na initi i funkcionalni prototipovi razli itih svojstava. Metode simuliranja s kona nim elementima i nove eksperimentalne metode uspje no se upotrebljavaju za pobolj anje proizvodnje prototipova na makroskopskoj i mikroskopskoj razini. Dvokomponentna proizvodnja prototipova nudi nove mogu nosti za 2k konstruiranje industrijskih dijelova i za biomodeliranje.

Abstract:
from freudian paradigm to lacanian paradigm. the purpose of this paper is to underline the transformation of the paradigm present in the psychoanalytic thought when we shift from the freudian to the lacanian discourse that occurs by the questioning on the economy of the metaphor in that discourse, which do not work in the same way. thus they point to the existence of the discontinuity in the psychoanalytic language when it shifts from freud to lacan. yet that discontinuity is written in a background of continuity as a result of the theoretical demand inaugurated by psychoanalysis in the sense that it is dissolved to reconnect it to the demand which is inherent in it.

Abstract:
Basins without outlets, found in abundance in West Pomerania, display a great lithological diversity. Differences in the lithology in the upper Pars ta catchment result from the processes of areal deglaciation during the Vistulian Glaciation (Karczewski 1989). Intraglacial accumulation, action by fluvioglacial water, and direct glacial accumulation have produced various sedimentary series and their mosaic-like pattern. The youngest sedimentary series have developed during fluvial, aeolian and organogenic accumulation (Kostrzewski et al. 1994a). The lithology of most of the closed basins in the catchment largely features fine diamictic sands which pass into sandy diamicton at 100 cm, then medium diamictic sands which turn into fine sands at depths of 50 and 100 cm, and massive diamictic sands which turn again into sandy diamicton at 100 cm. In the catchment of a closed evapotranspiration basin equipped with measuring instruments, the predominant deposit is sands, especially medium-grained ones. Much less abundant are diamictic sands and sandy diamictons, and silts occur only sporadically. Such a lithological diversity is responsible for different rates of the water cycle recorded in the particular parts of the study area.

Abstract:
A class of deformations of the q-quantum gravity loop algebra is shown to be incompatible with the combinatorics of Temperley-Lieb recoupling theory with deformation parameter at a root of unity. This incompatibility appears to extend to more general deformation parameters.

Abstract:
Using the formalism of polynomials with positive coefficients, the fact that exactly half of all subsets of a finite set have even cardinality can be generalized asymptotically.

Abstract:
In this paper a result of Latala about the tail behavior of Gaussian polynomials will be discussed. Latala proved an interesting result about this problem in paper [2]. But his proof applied an incorrect statement at a crucial point. Hence the question may arise whether the main result of paper [2] is valid. The goal of this paper is to settle this problem by presenting such a proof where the application of the erroneous statement is avoided. I discuss the proofs in detail even at the price of a longer text and try to give such an explanation that reveals the ideas behind them better than the original paper. \

Abstract:
We take an $L_1$-dense class of functions $\Cal F$ on a measurable space $(X,\Cal X)$ together with a sequence of independent, identically distributed $X$-space valued random variables $\xi_1,\dots,\xi_n$ and give a good estimate on the tail distribution of $\sup_{f\in\Cal F}\sum_{j=1}^n f(\xi_j)$ if the expected values $E|f(\xi_1)|$ are very small for all $f\in\Cal F$. In a subsequent paper~[2] we shall give a sharp bound for the supremum of normalized sums of i.i.d. random variables in a more general case. But that estimate is a consequence of the results in this work.

Abstract:
We take an $L_1$-dense class of functions $\Cal F$ on a measurable space $(X,\Cal X)$ and a sequence of i.i.d. $X$-valued random variables $\xi_1,\dots,\xi_n$, and give a good estimate on the tail behaviour of $\sup\limits_{f\in\Cal F}\sum\limits_{j=1}^nf(\xi_j)$ if the conditions $\sup\limits_{x\in X}|f(x)|\le1$, $Ef(\xi_1)=0$ and $Ef(\xi_1)^2<\sigma^2$ with some $0\le\sigma\le1$ hold for all $f\in\Cal F$. Roughly speaking this estimate states that under some natural conditions the above considered supremum is not much larger than the worst element taking part in it. The proof heavily depends on the main result of paper~[3]. Here we have to deal with such a problem where the classical methods worked out to investigate the behaviour of Gaussian or almost Gaussian random variables do not work.}

Abstract:
Let a sequence of iid. random variables $\xi_1,...,\xi_n$ be given on a measurable space $(X,\cal X)$ with distribution $\mu$ together with a function $f(x_1,...,x_k)$ on the product space $(X^k,{\cal X}^k)$. Let $\mu_n$ denote the empirical measure defined by these random variables and consider the random integral $$ J_{n,k}(f)={{n^{k/2}}\over{k!}}\int' f(u_1,...,u_k) (\mu_n(du_1)-\mu(du_1))...(\mu_n(du_k)-\mu(du_k)), $$ where prime means that the diagonals are omitted from the domain of integration. In this work a good bound is given on the probability $P(|J_{n,k}(f)|>x)$ for all $x>0$. This result shows that the tail behaviour of the distribution funtcion of the random integral $J_{n,k}(f)$ and that of the integral of the function $f$ with respect to a Gaussian random field show a similar behaviour. The proof is based on an adaptation of some methods of the theory of Wiener--Ito integrals. In particular, a sort of diagram formula is proved for the random integrals $J_{n,k}(f)$ together with some of its important properties, a result which may be interesting in itself. The relation of this estimate to some results about $U$-statistics is also discussed.

Abstract:
Let a sequence of iid. random variables $\xi_1,...,\xi_n$ be given on a space $(X,\cal X)$ with distribution $\mu$ together with a nice class $\cal F$ of functions $f(x_1,...,x_k)$ of $k$ variables on the product space $(X^k,{\cal X}^k)$. For all $f\in\cal F$ we consider the random integral $J_{n,k}(f)$ of the function $f$ with respect to the $k$-fold product of the normalized signed measure $\sqrt n(\mu_n-\mu)$, where $\mu_n$ denotes the empirical measure defined by the random variables $\xi_1,...,\xi_n$ and investigate the probabilities $P(\sup_{f\in {\cal F}}|J_{n,k}(f)|>x)$ for all $x>0$. We show that for nice classes of functions, for instance if $\cal F$ is a Vapnik-Cervonenkis class, an almost as good bound can be given for these probabilities as in the case when only the random integral of one function is considered.