Search results for "MATHEMATICS"
showing 10 items of 22031 documents
A Time-Non-Homogeneous Double-Ended Queue with Failures and Repairs and Its Continuous Approximation
2018
We consider a time-non-homogeneous double-ended queue subject to catastrophes and repairs. The catastrophes occur according to a non-homogeneous Poisson process and lead the system into a state of failure. Instantaneously, the system is put under repair, such that repair time is governed by a time-varying intensity function. We analyze the transient and the asymptotic behavior of the queueing system. Moreover, we derive a heavy-traffic approximation that allows approximating the state of the systems by a time-non-homogeneous Wiener process subject to jumps to a spurious state (due to catastrophes) and random returns to the zero state (due to repairs). Special attention is devoted to the cas…
Single-cell analysis of population context advances RNAi screening at multiple levels
2012
Isogenic cells in culture show strong variability, which arises from dynamic adaptations to the microenvironment of individual cells. Here we study the influence of the cell population context, which determines a single cell's microenvironment, in image‐based RNAi screens. We developed a comprehensive computational approach that employs Bayesian and multivariate methods at the single‐cell level. We applied these methods to 45 RNA interference screens of various sizes, including 7 druggable genome and 2 genome‐wide screens, analysing 17 different mammalian virus infections and four related cell physiological processes. Analysing cell‐based screens at this depth reveals widespread RNAi‐induce…
Hölder regularity for stochastic processes with bounded and measurable increments
2022
We obtain an asymptotic Hölder estimate for expectations of a quite general class of discrete stochastic processes. Such expectations can also be described as solutions to a dynamic programming principle or as solutions to discretized PDEs. The result, which is also generalized to functions satisfying Pucci-type inequalities for discrete extremal operators, is a counterpart to the Krylov-Safonov regularity result in PDEs. However, the discrete step size $\varepsilon$ has some crucial effects compared to the PDE setting. The proof combines analytic and probabilistic arguments.
Response-To-Intervention in Finland and the United States: Mathematics Learning Support as an Example
2018
Response to Intervention (RTI) was accepted in the early 2000s as a new framework for identifying learning difficulties (LD) in the U.S. In Finland, a similar multi-tiered framework has existed since 2010. In the present study, these frameworks are presented from the viewpoint of the role of assessment and instruction as expressed in documents that describe the frameworks, as it seems that these two components of RTI are the most disparate between the U.S. and Finland. We present a suggestion for the Finnish framework as an example of support in mathematics learning that incorporates principles of RTI (such as systematized assessment and instruction, cyclic support, and modifiable instructi…
The Art-Based Methods in Developing Transversal Competence
2019
This article describes a project called “The art based methods in developing transversal competence” funded by The Finnish National Board of Education. The article is based on the hermeneutic phenomenological approach in action research. The project developed learning environments as well as project-based learning with emphasis on the art-based methods and transversal competence approach to learning. The aim was to develop unique and communal well-being in learning. The project offered tools to strengthen teachers’ professional skills to use expressive, art-based methods in different curriculum-based projects. The professional in-service training project included five contact days in six we…
Kazoo training for L2 pronunciation practice and reduced foreign accentedness?
2019
This paper presents a controlled pretest–training–posttest study on using a small membraphone instrument called kazoo for L2 pronunciation practice and reducing foreign accentedness. Learners were recorded for free speech before and after a six-week pronunciation and oral skills course including L2 prosody training with personal kazoos. A control group did not receive any kazoo training but did similar tasks in regular speech. Samples of all learners’ free speech before and after the course were rated for foreign accentedness by L1 speakers. In addition, learners taking part in the kazoo group were interviewed in focus groups to ascertain their views on kazoo training. The results imply tha…
How Wild Can It Get? Managing Language Learning Tasks in Real Life Service Encounters
2019
This chapter explores how experientially based pedagogical activities that involve participation in real life service encounters provide occasions for developing L2 interactional competence. The data comprises novice L2 students’ self-recorded interactions in service settings and videorecordings of classroom planning activities and de-briefing discussions, where the students reflect on their experiences. The analysis traces what kinds of occasions for learning arise as the students move between the classroom and the real-world service settings. The findings show that the different phases of the task complement each other in supporting the development of interactional competence. The prepara…
"Table 16" of "Search for heavy particles decaying into a top-quark pair in the fully hadronic final state in $pp$ collisions at $\sqrt{s} =13$ TeV w…
2020
Expected and observed upper limits on the cross-section times branching fraction of topcolor-assisted-technicolor Z$^{\prime}_{TC2}$ decaying into top-quark pair as a function of the Z$^{\prime}_{TC2}$ mass.
The link of a finitely determined map germ from R 2 to R 2
2010
Let f: (R2, 0) → (R2, 0) be a finitely determined map germ. The link of f is obtained by taking a small enough representative f: U ⊂ R2 → R2 and the intersection of its image with a small enough sphere Sε1 centered at the origin in R2. We will describe the topology of f in terms of the Gauss word associated to its link.
Some Remarks about Product Spaces
2018
Summary This article covers some technical aspects about the product topology which are usually not given much of a thought in mathematics and standard literature like [7] and [6], not even by Bourbaki in [4]. Let {Ti}i∈I be a family of topological spaces. The prebasis of the product space T = ∏ i∈I Ti is defined in [5] as the set of all π −1 i (V) with i ∈ I and V open in Ti . Here it is shown that the basis generated by this prebasis consists exactly of the sets ∏ i∈I Vi with Vi open in Ti and for all but finitely many i ∈ I holds Vi = Ti . Given I = {a} we have T ≅ Ta , given I = {a, b} with a≠ b we have T ≅ Ta ×Tb . Given another family of topological spaces {Si}i∈I such that Si ≅ Ti fo…