Mappings by the complex exponential function

In mathematics, engineering, and physics, some problems can be solved through complex functions; in many cases, with geometric inconveniences or complicated domains. Conformal mappings are essential to transform a complicated analytic domain onto a simple domain. Physical approaches to visualization of complex functions can be used to represent conformal mappings, here we use the transformation of regions of the complex plane. This paper provides a graphical overview of the transformation of a set of regions by the complex exponential function.

Mathematical modeling of building structures and nonlinear differential equations

Nonlinear differential equations with moving singular points require emergence and development of new approximate methods of solution. In this paper, we give a solution to one of the problems of the analytical approximate method for solving nonlinear differential equations with moving singular points, and study the influence of the perturbation of the initial conditions on the analytical approximate solution in the analytic domain. Theoretical material was tested using a numerical experiment confirming its reliability. The theoretical material presented in this paper allows researchers to use nonlinear differential equations with moving singular points when designing mathematical models of building structures.

The Analytic Domain of Multiple- Intelligence and Its Relation to English Objective Test

The current research aims at identifying the analytic domain of multiple -intelligence and English objective test. The research is trying to answer that if there is a correlation between the analytic domain of multiple- intelligence and the English objective tests. Thus, the research has adopted a close questionnaire for diagnosing analytic domain (logical, rhythmic, and naturalistic) of multiple- intelligence of Iraqi students at Baghdad University, and an objective English test to achieve the aim of the research. Nine colleges at Baghdad University are randomly chosen to represent the sample of the research which is 511 students. The results of the research have shown that there are weak significant correlation between the analytic domain of multiple intelligent and the objective English test. Thus, from the results of the research Baghdad University could modify the objective tests with alternative ones that based on students’ ability and intelligence not guessing tests. Continuous long-term assessment, untimed, free- response format, individualized test and creative answers based on multiple- intelligence are recommended.

Big by blocks: modular analytics

Big Data and Big Data analytics have attracted major interest in research and industry and continue to do so. The high demand for capable and scalable analytics in combination with the ever increasing number and volume of application scenarios and data has lead to a large and intransparent landscape full of versions, variants and individual algorithms. As this zoo of methods lacks a systematic way of description, understanding is almost impossible which severely hinders effective application and efficient development of analytic algorithms. To solve this issue we propose our concept of modular analytics that abstracts the essentials of an analytic domain and turns them into a set of universal building blocks. As arbitrary algorithms can be created from the same set of blocks, understanding is eased and development benefits from reusability.

Un résultat de connexité pour les variétés analytiques p-adiques: privilège et noethérianité

Let k be a non-Archimedean field, let X be a k-affinoid space and let f1,…,fn, with $n\in \mathbb {N}^*$, be analytic functions over X. If X is irreducible, we prove that the analytic domain $\bigcup _{1\le j\le n} \{x\in X\mid |f_{j}(x)|\ge \varepsilon _{j}\}$ is still irreducible, provided that $(\varepsilon _{1},\ldots ,\varepsilon _{n}) \in \mathbb {R}_{+}^n$ is small enough. Then, for a general X, we precisely describe how the geometric connected components of the spaces $\{x\in X\mid |f(x)|\ge \varepsilon \}$ behave with regards to ε. Finally, we obtain a result concerning privileged neighbourhoods and adapt a theorem from complex analytic geometry about Noetherianity for germs of analytic functions.