Search results for "Mathematica"

On the viability of an algebraic approach to non-monotonic reasoning

1996

Quantum Non-Markovian Piecewise Dynamics from Collision Models

2017

Recently, a large class of quantum non-Markovian piecewise dynamics for an open quantum system obeying closed evolution equations has been introduced [B. Vacchini, Phys. Rev. Lett. 117, 230401 (2016)]. These dynamics have been defined in terms of a waiting-time distribution between quantum jumps, along with quantum maps describing the effect of jumps and the system's evolution between them. Here, we present a quantum collision model with memory, whose reduced dynamics in the continuous-time limit reproduces the above class of non-Markovian piecewise dynamics, thus providing an explicit microscopic realization.

A Multi-Objective Design Approach for the c Chart Considering Taguchi Loss Function

2014

The present paper proposes a multi-objective design approach for the c chart, considering in the optimization process of the chart parameters both the statistical and the economic objectives. In particular, the minimization of the hourly total quality related costs is the considered objective to carry out the economic goal, whereas the statistical objective is reached by the minimization the out-of-control average run length of the chart. A mixed integer non-linear constrained mathematical model is formulated to solve the treated multi-objective optimization problem, whereas the Pareto optimal frontier is described by the «-constraint method. In order to show the employment of the proposed …

Pedagoģiskie risinājumi 5-6 gadu bērnu ar īpašām redzes vajadzībām matemātiskās kompetences attīstīšanai

2016

Šī pētījuma mērķis ir izpētīt, kāds būtu vispiemērotākais pedagoģiskais risinājums (pieeja un procesi), lai bērni vecumā no 5-6 gadiem ar īpašām vizuālajām vajadzībām iegūtu matemātisko kompetenci. Pētījumā tiek aplūkoti skaitļa jēdziena teorētiskie pamati un analizēti skaitļu mācīšanās posmi un to nozīmīgums šajā vecumā. Matemātiskā domāšana attīstās, bērnam nodarbojoties ar matemātiku. Matemātiskajā jomā domāšanas stingrība ir būtiska pazīme jau no pirmās mācīšanās pieredzes. Empīriskajā daļā tika izpētīta skaitļa jēdziena izpratne un matemātiskās domāšanas apguves procesi, anketējot bijušos studentus, kuri atsauca atmiņā savu matemātikas apguves procesu un tā tālākizmantošanu izglītības …

Families of solutions to the KPI equation and the structure of their rational representations of order N

2018

We construct solutions to the Kadomtsev-Petviashvili equation (KPI) in terms of Fredholm determinants. We deduce solutions written as a quotient of wronskians of order 2N. These solutions called solutions of order N depend on 2N − 1 parameters. They can also be written as a quotient of two polynomials of degree 2N (N + 1) in x, y and t depending on 2N − 2 parameters. The maximum of the modulus of these solutions at order N is equal to 2(2N + 1) 2. We explicitly construct the expressions until the order 6 and we study the patterns of their modulus in the plane (x, y) and their evolution according to time and parameters.

Teaching Early Mathematical Skills to 3- to 7-Year-Old Children — Differences Related to Mathematical Skill Category, Children’s Age Group and Teache…

2022

Abstract This study explored teaching early mathematical skills to 3- to 7-year-old children in early childhood education and care (ECEC) and pre-primary education. Teachers in ECEC (N = 206) answered a web survey. The first aim was to determine whether teaching frequency or pedagogical awareness of teaching early mathematical skills varied according to the category of skills (numerical skills, spatial thinking skills and mathematical thinking and reasoning skills) and whether children’s age group moderated these differences. The second aim was to explore to what extent teacher-related characteristics and children’s age group explained variations in teaching frequency concerning early mathe…

A Register Study Suggesting Homotypic and Heterotypic Comorbidity Among Individuals With Learning Disabilities

2023

The present study examined whether learning disabilities (LD) in reading and/or math (i.e., reading disability [RD], math disability [MD], and RD+MD) co-occur with other diagnoses. The data comprised a clinical sample (n= 430) with LD identified in childhood and a sample of matched controls (n= 2,140). Their medical diagnoses (according to the International Classification of Diseases nosology) until adulthood (20–39 years) were analyzed. The co-occurrence of LD with neurodevelopmental disorders was considered a homotypic comorbidity, and co-occurrence with disorders or diseases from the other diagnostic categories (i.e., mental and behavioral disorders, diseases of the nervous system, injur…

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…

Parental influences on the development of single and co-occurring difficulties in reading and arithmetic fluency

2023

This study investigated how single and co-occurring difficulties in reading and arithmetic fluency developed among Finnish children across Grades 1–9 (N = 2151). Latent profile analysis among 391 children who had reading and/or arithmetic fluency difficulties in Grade 9 revealed profiles that followed three distinct patterns: reading difficulties (N = 121), mathematical difficulties (N = 94), and comorbid difficulties (N = 176). The profiles and typical performers were compared on parental reading and mathematical difficulties, parental education, the early home learning environment, and parental assistance with school homework across Grades 1–9. Results showed that although parents whose c…

Longitudinal Effects of the Home Learning Environment and Parental Difficulties on Reading and Math Development Across Grades 1–9

2020

This study focuses on parental reading and mathematical difficulties, the home literacy environment, and the home numeracy environment as well as their predictive role in Finnish children’s reading and mathematical development through Grades 1–9. We examined if parental reading and mathematical difficulties directly predict children’s academic performance and/or if they are mediated by the home learning environment. Mothers (n = 1590) and fathers (n = 1507) reported on their reading and mathematical difficulties as well as on the home environment (shared reading, teaching literacy, and numeracy) when their children were in kindergarten. Tests for reading fluency, reading comprehension, and …