In the article, we perform a classification of algebras with dimensions $\leq$ 3 and with the property that each element is colinear with its square. The classification is complete up to properties ...of the ground field.
Using electron microscopy, we studied the morphology of secretory granules in rat pars intermedia cells. We found figures of apparent intergranule fusion, characterized by a tight association of two ...granules. The fusion was detected in around 2% of all measured granules, indicating a low occurrence of intergranule fusion. To study whether intergranule fusion affects the distribution of granule diameters a simple probabilistic model was developed. It is based on the theory that larger granules are formed by fusion of two or more spherical granules of fixed size, and that the surface of a newly formed granule is equal to the sum of fused granule membranes. The model accounts for the bias on granule diameter measurements due to sectioning of granules. Although the electron microscopy data strongly indicates the existence of intergranule fusion in rat melanotrophs, this process as modelled in the present work does not contribute to the granule diameter distribution significantly. It is likely that in addition to the fusion of larger granules, other processes, such as fusion of microvesicles, may affect the distribution of granule diameters.
Minotov zakon, po katerem je relativna stopnja rasti padajoča na vsem območju, kjer je mikrobna rastna krivulja naraščajoča, razširimo še na območje, kjer opazovana kultura umira. Pokažemo, da je ...rastna krivulja, za katero velja ta zakon, logaritmično konkavna in da ima zato vselej obliko , kjer je padajoča funkcija. Konec lag-faze definiramo kot začetek logaritmične konkavnosti rastne krivulje. V nadaljevanju naštejemo ostale splošne lastnosti takih rastnih krivulj, utemeljimo osnovni princip aproksimacije konkretnih podatkov in predlagamo preprost model.
We prove that the rounded expected value of the rounded random variable differs from the expected value of the original random variable by less then 2δ, where δ is the distance between two ...neighbouring rounded numbers. The same conclusion holds for standard deviation. Hence, in practice the influence of rounding to expected value and standard deviation is almost negligible. PUBLICATION ABSTRACT
To enable correct statistical inference, the knowledge about the existence of moments is crucial. The objective of this paper is to study the existence of the moments for the ratio Z = X/Y , where ...X and Y are arbitrary random variables with the additional assumption P(Y = 0) = 0. We present three existence theorems showing that specific behaviour of the distribution of Y in the neighbourhood of zero is essential. Simple consequences of these theorems give evidence to the existence of the moments for particular random variables; some of these results are well known from standard probability theory. However, we obtain them in a simple way. PUBLICATION ABSTRACT
We prove that, if A and B are complete normed non-associative algebras, and if B is strongly semisimple and algebraic, then dense range homomorphisms from A to B are continuous. As a consequence, we ...obtain that homomorphisms from complete normed algebras into a complete normed power-associative algebraic algebra B are continuous if and only if B has no nonzero elements with zero square. We also show that homomorphisms from complete normed algebras into a finite-dimensional algebra B are continuous if and only if B has no nonzero elements with zero square.
We introduced a new bivariate distribution for a random vector Z = X, Y T , where X and Y are positive continuous variables. The distribution is a generalization of the Weibull distribution, it has 7 ...parameters: r and s are power parameters, m and n are moment parameters, a and b are scaling parameters, and p is the linking parameter. The ML estimation turns out to be a very difficult task. In this paper we present the estimation procedure. It was tested on simulated data, which we generated using the acceptance-rejection method. The results are very satisfactory.
A new bivariate distribution Cedilnik, A.; Kosmelj, K.; Blejec, A.
28th International Conference on Information Technology Interfaces, 2006,
2006
Conference Proceeding
We propose a new bivariate distribution with five shape parameters and two scale parameters. It allows great flexibility for the bivariate situation and successfully replaces the assumption of the ...bivariate normal distribution when the ratio of two positive bounded variables is in question
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