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.
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
This paper presents the interval estimate for specific points in polynomial regression: zero of a linear regression, abscissa of the extreme of a quadratic regression, abscissa of the inflection ...point of a cubic regression. Two different approaches are under study. An application of these two approaches based on quadratic regression in presented: interval estimate for the plant density giving optimal yield of maize is under consideration.
The objective of a long-term soil survey is to determine the mean concentrations of several chemical parameters for the pre-defined soil layers and to compare them with the corresponding values in ...the past. A two-stage random sampling procedure is used to achieve this goal. In the first step, n subplots are selected from N subplots by simple random sampling without replacement; in the second step, m sampling sites are chosen within each of the n selected subplots. Thus n · m soil samples are collected for each soil layer. The idea of the composite sample design comes from the challenge of reducing very expensive laboratory analyses: m laboratory samples from one subplot and one soil layer are physically mixed to form a composite sample. From each of the n selected subplots, one composite sample per soil layer is analyzed in the laboratory, thus n per soil layer in total. In this paper we show that the cost is reduced by the factor m -- 1 when instead of the two-stage sampling its composite sample alternative is used; however, the variance of the composite sample mean is increased. In the case of positive intraclass correlation the increase is less than 12.5%; in the case of negative intraclass correlation the increase depends on the properties of the variable as well. For the univariate case we derive the optimal number of subplots and sampling sites. A case study is discussed at the end.PUBLICATION ABSTRACT
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