Search results for "Mathematica"

Multiplicity results for asymmetric boundary value problems with indefinite weights

2004

We prove existence and multiplicity of solutions, with prescribed nodal properties, to a boundary value problem of the formu″+f(t,u)=0,u(0)=u(T)=0. The nonlinearity is supposed to satisfy asymmetric, asymptotically linear assumptions involving indefinite weights. We first study some auxiliary half-linear, two-weighted problems for which an eigenvalue theory holds. Multiplicity is ensured by assumptions expressed in terms of weighted eigenvalues. The proof is developed in the framework of topological methods and is based on some relations between rotation numbers and weighted eigenvalues.

Exponentiating derivations of quasi∗-algebras: possible approaches and applications

2005

The problem of exponentiating derivations of quasi∗-algebras is considered in view of applying it to the determination of the time evolution of a physical system. The particular case where observables constitute a properCQ∗-algebra is analyzed.

Does Multi-Component Strategy Training Improve Calculation Fluency Among Poor Performing Elementary School Children?

2018

The aim of the present study was to extend the previous intervention research in math by examining whether elementary school children with poor calculation fluency benefit from strategy training focusing on derived fact strategies and following an integrative framework, i.e., integrating factual, conceptual, and procedural arithmetic knowledge. It was also examined what kind of changes can be found in frequency of using different strategies. A quasi-experimental design was applied, and the study was carried out within the context of the school and its schedules and resources. Twenty schools in Finland volunteered to participate, and 1376 children were screened in for calculation fluency pro…

3 ′-5 ′ crosstalk contributes to transcriptional bursting

2019

Abstract Background Transcription in mammalian cells is a complex stochastic process involving shuttling of polymerase between genes and phase-separated liquid condensates. It occurs in bursts, which results in vastly different numbers of an mRNA species in isogenic cell populations. Several factors contributing to transcriptional bursting have been identified, usually classified as intrinsic, in other words local to single genes, or extrinsic, relating to the macroscopic state of the cell. However, some possible contributors have not been explored yet. Here, we focus on processes at the 3 ′ and 5 ′ ends of a gene that enable reinitiation of transcription upon termination. Results Using Bay…

Inverse problems in imaging and engineering science

2020

"If I don’t enjoy it, how are my kids going to enjoy it?" : case study in English grammar teaching

2015

The question over how grammar should be taught has been discussed amongst s everal linguistics scholars. Different grammar teaching methods present different focus on the target language, grammar and learner’s role. All of the methods have their strengths and weaknesses and in order to know which method to pick, one must know all the strengths and weaknesses of these methods. In this case study, a teacher from Central Finland was interviewed on her grammar teaching methods and the reasons behind these methods for fifth-graders. Factors influencing her selection of methods were the grammatical topic to be taught, learners’ different learning styles, relevance of the topic and the most natura…

On the limit velocity and buckling phenomena of axially moving orthotropic membranes and plates

2011

In this paper, we consider the static stability problems of axially moving orthotropic membranes and plates. The study is motivated by paper production processes, as paper has a fiber structure which can be described as orthotropic on the macroscopic level. The moving web is modeled as an axially moving orthotropic plate. The original dynamic plate problem is reduced to a two-dimensional spectral problem for static stability analysis, and solved using analytical techniques. As a result, the minimal eigenvalue and the corresponding buckling mode are found. It is observed that the buckling mode has a shape localized in the regions close to the free boundaries. The localization effect is demon…

Ledrappier-Young formula and exact dimensionality of self-affine measures

2017

In this paper, we solve the long standing open problem on exact dimensionality of self-affine measures on the plane. We show that every self-affine measure on the plane is exact dimensional regardless of the choice of the defining iterated function system. In higher dimensions, under certain assumptions, we prove that self-affine and quasi self-affine measures are exact dimensional. In both cases, the measures satisfy the Ledrappier-Young formula. peerReviewed

Rainwater reuse in urban areas: a mathematical model and a longterm modelling approach

2018

Natural water resources are becoming increasingly limited due to global-scale climate change and water availability issues have become so severe that they must be addressed. Given these issues, reuse of wastewater and rainwater provides a promising way to cope with water shortages. This paper describes an investigation into the efficiency of rainwater usage systems. A conceptual model was built to assess the behaviour of rainwater tanks and their effectiveness in coping with water shortages. The study is based on a long-term simulation (12 years) of different rainwater reuse tank schemes. The associated reductions in residential freshwater demand (water reuse efficiency) and wetweather runo…

International Conference for Mathematical Modeling and Optimization in Mechanics : book of abstracts : University of Jyväskylä, March 6-7, 2014

2014

This book of abstracts presents materials of the International Conference for Mathematical Modeling and Optimization in Mechanics (MMOM 2014) 6-7 March 2014, Jyväskylä, Finland. This event is dedicated to Professor Nikolay Banichuk in occasion of his 70th anniversary. It is aimed to present the latest results of leading scientists in mathematical modeling, numerical analysis, and optimization theory and to discuss the state of the art and open problems in the field. The book is divided in five sections: 1. Mathematical Modelling of Complex Systems 2. Stability Analysis and Vibration 3. Optimization 4. Methods of Numerical Analysis 5. Shape Optimization