Diffusion with stochastic resetting of interacting particles emerging in a model of population genetics

In this paper we put forward a Generalized Ohta-Kimura ladder model (GOKM) which bears a strong liaison with the so-called jump-type Fleming-Viot process (JFVP). The novelty here, when we compare with the classical Ohta-Kimura model, is that we now have an operator which allows multiple interaction among the individuals. It has to do with a generalized branching mechanism: m individual types extinguish and one individual type splits into m copies. The system of evolution equations arising from GOKM can be seen as a system of n-dimensional Kolmogorov forward equations (or Fokker-Planck equations). Besides the interest in its own right a favorable feature of GOKM, vis-`a-vis JFVP, is that its analysis requires a more amenable armory of concepts and mathematical technique to analyze some relevant issues such as correlation, indistinguishability of individuals and stationarity. In addition, as a by product, we show that the connection between Ohta-Kimura Model and diffusion with resetting, as previously structured in [6], can be extended to our setting.

On the Fractional Metric Dimension of Convex Polytopes

In order to identify the basic structural properties of a network such as connectedness, centrality, modularity, accessibility, clustering, vulnerability, and robustness, we need distance-based parameters. A number of tools like these help computer and chemical scientists to resolve the issues of informational and chemical structures. In this way, the related branches of aforementioned sciences are also benefited with these tools as well. In this paper, we are going to study a symmetric class of networks called convex polytopes for the upper and lower bounds of fractional metric dimension (FMD), where FMD is a latest developed mathematical technique depending on the graph-theoretic parameter of distance. Apart from that, we also have improved the lower bound of FMD from unity for all the arbitrary connected networks in its general form.

Non-Uniform Spline Quasi-Interpolation to Extract the Series Resistance in Resistive Switching Memristors for Compact Modeling Purposes

An advanced new methodology is presented to improve parameter extraction in resistive memories. The series resistance and some other parameters in resistive memories are obtained, making use of a two-stage algorithm, where the second one is based on quasi-interpolation on non-uniform partitions. The use of this latter advanced mathematical technique provides a numerically robust procedure, and in this manuscript, we focus on it. The series resistance, an essential parameter to characterize the circuit operation of resistive memories, is extracted from experimental curves measured in devices based on hafnium oxide as their dielectric layer. The experimental curves are highly non-linear, due to the underlying physics controlling the device operation, so that a stable numerical procedure is needed. The results also allow promising expectations in the massive extraction of new parameters that can help in the characterization of the electrical device behavior.

Mesoscale Mechanisms in Viscoplastic Deformation of Metals and Their Applications to Constitutive Models

Deformation of metals has attracted great interest for a long time. However, the constitutive models for viscoplastic deformation at high strain rates are still under intensive development, and more physical mechanisms are expected to be involved. In this work, we employ the newly-proposed methodology of mesoscience to identify the mechanisms governing the mesoscale complexity of collective dislocations, and then apply them to improving constitutive models. Through analyzing the competing effects of various processes on the mesoscale behavior, we have recognized two competing mechanisms governing the mesoscale complex behavior of dislocations, i.e., maximization of the rate of plastic work, and minimization of the elastic energy. Relevant understandings have also been discussed. Extremal expressions have been proposed for these two mesoscale mechanisms, respectively, and a stability condition for mesoscale structures has been established through a recently-proposed mathematical technique, considering the compromise between the two competing mechanisms. Such a stability condition, as an additional constraint, has been employed subsequently to close a two-phase model mimicking the practical dislocation cells, and thus to take into account the heterogeneous distributions of dislocations. This scheme has been exemplified in three increasingly complicated constitutive models, and improves the agreements of their results with experimental ones.

Essentials and Applications of 3D Printers used in Mathematical Technique

In this paper we talk about the part of schools and their duty to go about as fast as could be expected to plan a game plan that will set up the future residents to manage this new reality. This study requires arranging of activity in various ways and on various planes, like labs, instructors, also, educational plans. 3D printing requires more significant levels of reasoning, advancement and imagination. It has the capacity to foster human creative mind and offer understudies the chance to imagine numbers, two dimensional shapes, and three-dimensional articles. The blend of reasoning, plan, and creation has massive ability to expand inspiration and fulfillment, with an exceptionally plausible expansion in an understudy's math and calculation accomplishments. The CAD framework incorporates an action instrument which empowers and elective route for figuring properties of the articles under thought and permits advancement of reflection and basic reasoning. The exploration strategy depended on correlation between a reference bunch and an experimental group; it was discovered that intercession altogether improved the reflection capacities of sixth grade understudies 3D printing innovation is a quick arising innovation. These days, 3D Printing is generally utilized on the planet. This paper presents the review of the sorts of 3D printing innovations, the use of 3D printing innovation and ultimately, the materials utilized for 3D printing innovation in assembling industry.

Parent-Child Interaction Therapy: A GRIM Conceptual Replication

Brown and Heathers (2017) introduced a mathematical technique to detect statistical irregularities in reported statistics in scientific articles, which they named Granularity-Related Inconsistency of Means (GRIM). Focusing mostly on social psychology, the technique revealed nearly a third of published manuscripts in respected journals contained statistical anomalies. To this point, there has been no survey using the GRIM technique in clinical psychology. Parent-Child Interaction Therapy (PCIT) is an evidence-based treatment for child behavior problems with a long record of research with many impressive findings. PCIT presents a new context within which to further test the GRIM technique and to better understand how widespread statistical irregularities occur throughout psychological science. Of the PCIT manuscripts that I evaluated (N = 24), over half (N = 17; 70.83%) contained at least one statistical anomaly. From these 17 manuscripts, only 4 (23.53%) of corresponding authors who were contacted responded to an inquiry about that anomaly. These results slightly differ from the original GRIM paper, with a higher percentage of PCIT manuscripts containing GRIM inconsistencies and with a lower rate of sharing data.

Prioritization of hazards for risk and resilience management through elicitation of expert judgement

Risk assessment in communities or regions typically relies on the determination of hazard scenarios and an evaluation of their impact on local systems and structures. One of the challenges of risk assessment for infrastructure operators is how to identify the most critical scenarios that are likely to represent unacceptable risks to such assets in a given time frame. This study develops a novel approach for prioritizing hazards for the risk assessment of infrastructure. Central to the proposed methodology is an expert elicitation technique termed paired comparison which is based on a formal mathematical technique for quantifying the range and variance in the judgements of a group of stakeholders. The methodology is applied here to identify and rank natural and operational hazard scenarios that could cause serious disruption or have disastrous effects to the infrastructure in the transnational Øresund region over a period of five years. The application highlighted substantial divergences of views among the stakeholders on identifying a single ‘most critical’ natural or operational hazard scenario. Despite these differences, it was possible to flag up certain cases as critical among the natural hazard scenarios, and others among the operational hazards.

Cluster and Factorial Analysis Applications in Statistical Methods

Cluster analysis is a mathematical technique in Multivariate Data Analysis which indicates the proper guidelines in grouping the data into clusters. We can understand the concept with illustrated notations of cluster Analysis and various Clustering Techniques in this Research paper. Similarity and Dissimilarity measures and Dendogram Analysis will be computed as required measures for Analysis. Factor analysis technique is useful for understanding the underlying hidden factors for the correlations among the variables. Identification and isolation of such facts is sometimes important in several statistical methods in various fields. We can understand the importance of the Factor Analysis and major concept with illustrated Factor Analysis approaches. We can estimated the Basic Factor Modeling and Factor Loadings, and also Factor Rotation process. Provides the complete application process and approaches of Principal Factor M.L.Factor and PCA comparison of Factor Analysis in this Research paper