Chromosome numbers of invasive and potentially invasive species in the flora of the Republic of Altai. Post V

Chromosome numbers (2n) of 15 invasive and potentially invasive plant species from the families Asteraceae, Brassicaceae, Caryophyllaceae, Malvaceae, Onagraceae, Papaveraceae, Plantaginaceae, Poaceae, Polygonaceae, Portulacaceae, and Rosaceae are reported on the samples collected in the Republic of Altai. To determine the chromosome number (ploidy level), the method of direct counting was used. Among studied species, chromosome complements for Persicaria orientalis (2n = 22), Potentilla norvegica (2n = 42), Veronica persica (2n = 28) were first examined from Russia; for Papaver rhoeas (2n = 14) and Rumex obtusifolius (2n = 20) – from Asian part of Russia; for Bromus squarrosus (2n = 14), Cosmos bipinnatus (2n = 24), and Eriochloa villosa (2n = 54) – from Siberia. Abutilon theophrasti (2n = 42) and Lepidium densiflorum (2n = 32) were first studied from Western Siberia; Epilobium ciliatum subsp. adenocaulon (2n = 36), Portulaca oleracea (2n = 36), Spergularia rubra (2n = 36), and Xanthium strumarium (2n = 36) – from the Republic of Altai. Common distribution and the history of floristic findings of these species in the Republic of Altai are given. Previously published data on chromosome numbers from Russia are cited.

X-ray powder diffraction in education. Part I. Bragg peak profiles

A collection of scholarly scripts dealing with the mathematics and physics of peak profile functions in X-ray powder diffraction has been written using the Wolfram language in Mathematica. Common distribution functions, the concept of convolution in real and Fourier space, instrumental aberrations, and microstructural effects are visualized in an interactive manner and explained in detail. This paper is the first part of a series dealing with the mathematical description of powder diffraction patterns for teaching and education purposes.

Location and Layout of Common Storage and Multichannel Common Distribution considering Time Windows

In the process of logistic activities of common storage and common distribution, due to problems such as urban traffic congestion period, parking restriction, working time restriction, and road restriction time, people often agree on the arrival time for customer orders, so that the receiving and delivering parties can connect in time and speed up unloading and distribution. Therefore, considering the actual distribution operation, it is necessary to consider the location and layout of common storage and multichannel common distribution in time windows. This paper takes multichannel common storage and common distribution as the research object, combines with the actual distribution situation, considers the location and distribution route optimization of the common storage and common distribution mode under the condition of time windows, takes the form of linking time windows with distribution time completion efficiency, and forms a reverse constraint on the objective function by time completion efficiency, thus realizing the double-objective optimization of “minimizing the total cost and satisfying the time windows.” In addition, through the comparison of various intelligent algorithms, find that the squirrel search algorithm (SSA) has more stable performance and better solution results.

Chromosome numbers of invasive and potentially invasive species in the flora of the Republic of Altai. IV

Chromosome numbers (2n) in 10 invasive and potentially invasive plant species from the families Asteraceae, Brassicaceae, Caryophyllaceae, Fabaceae, Malvaceae, Oxalidaceae, Poaceae and Solanaceae are reported on the samples collected in the Republic of Altai. To determine the ploidy levels, we used methods of direct chromosome counting and flow cytometry in some cases. Among them, chromosome complements were first examined in Russia for Eruca vesicaria subsp. sativa (2n = 22). Psammophiliella muralis (2n = 34), Medicago sativa subsp. varia (2n ≈ 32; 2C = 4.8 pg) and Solanum nigrum (2n = 48) were first studied from Siberia. Malva verticillata (2n = 42), Oxalis dillenii (2n = 24), Lolium perenne (2n = 14) and Setaria faberi (2n = 36) were first studied from the Republic of Altai. Tetraploid cytotype and genome size of Picris hieracioides (2n = 4x = 20; 2C = 8.89 pg) were discovered for the first time. Common distribution and the history of floristic findings of these species in the Republic of Altai are given. Previously published data on chromosome numbers from Russia are cited.

Oscillations for order statistics of some discrete processes

Suppose k balls are dropped into n boxes independently with uniform probability, where n, k are large with ratio approximately equal to some positive real $\lambda$ . The maximum box count has a counterintuitive behavior: first of all, with high probability it takes at most two values $m_n$ or $m_n+1$ , where $m_n$ is roughly $\frac{\ln n}{\ln \ln n}$ . Moreover, it oscillates between these two values with an unusual periodicity. In order to prove this statement and various generalizations, it is first shown that for $X_1,\ldots,X_n$ independent and identically distributed discrete random variables with common distribution F, under mild conditions, the limiting distribution of their maximum oscillates in three possible families, depending on the tail of the distribution. The result stated at the beginning follows from the ensemble equivalence for the order statistics in various allocations problems, obtained via conditioning limit theory. Results about the number of ties for the maximum, as well as applications, are also provided.

3-D Nucleus Architecture in Oat × Maize Addition Lines

The nucleus architecture of hybrid crop plants is not a well-researched topic, yet it can have important implications for their genetic stability and usefulness in the successful expression of agronomically desired traits. In this work we studied the spatial distribution of introgressed maize chromatin in oat × maize addition lines with the number of added maize chromosomes varying from one to four. The number of chromosome additions was confirmed by genomic in situ hybridization (GISH). Maize chromosome-specific simple sequence repeat (SSR) markers were used to identify the added chromosomes. GISH on 3-D root and leaf nuclei was performed to assess the number, volume, and position of the maize-chromatin occupied regions. We revealed that the maize chromosome territory (CT) associations of varying degree prevailed in the double disomic lines, while CT separation was the most common distribution pattern in the double monosomic line. In all analyzed lines, the regions occupied by maize CTs were located preferentially at the nuclear periphery. A comparison between the tissues showed that the maize CTs in the leaf nuclei are positioned closer to the center of the nucleus than in the root nuclei. These findings shed more light on the processes that shape the nucleus architecture in hybrids.

A General Approach to Fairness with Optimal Transport

We propose a general approach to fairness based on transporting distributions corresponding to different sensitive attributes to a common distribution. We use optimal transport theory to derive target distributions and methods that allow us to achieve fairness with minimal changes to the unfair model. Our approach is applicable to both classification and regression problems, can enforce different notions of fairness, and enable us to achieve a Pareto-optimal trade-off between accuracy and fairness. We demonstrate that it outperforms previous approaches in several benchmark fairness datasets.

Strong convergence of multivariate maxima

It is well known and readily seen that the maximum of n independent and uniformly on [0, 1] distributed random variables, suitably standardised, converges in total variation distance, as n increases, to the standard negative exponential distribution. We extend this result to higher dimensions by considering copulas. We show that the strong convergence result holds for copulas that are in a differential neighbourhood of a multivariate generalised Pareto copula. Sklar’s theorem then implies convergence in variational distance of the maximum of n independent and identically distributed random vectors with arbitrary common distribution function and (under conditions on the marginals) of its appropriately normalised version. We illustrate how these convergence results can be exploited to establish the almost-sure consistency of some estimation procedures for max-stable models, using sample maxima.

Stochastic model specification in Markov switching vector error correction models

This paper proposes a hierarchical modeling approach to perform stochastic model specification in Markov switching vector error correction models. We assume that a common distribution gives rise to the regime-specific regression coefficients. The mean as well as the variances of this distribution are treated as fully stochastic and suitable shrinkage priors are used. These shrinkage priors enable to assess which coefficients differ across regimes in a flexible manner. In the case of similar coefficients, our model pushes the respective regions of the parameter space towards the common distribution. This allows for selecting a parsimonious model while still maintaining sufficient flexibility to control for sudden shifts in the parameters, if necessary. We apply our modeling approach to real-time Euro area data and assume transition probabilities between expansionary and recessionary regimes to be driven by the cointegration errors. The results suggest that the regime allocation is governed by a subset of short-run adjustment coefficients and regime-specific variance-covariance matrices. These findings are complemented by an out-of-sample forecast exercise, illustrating the advantages of the model for predicting Euro area inflation in real time.