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Articles 31 - 60 of 129
Full-Text Articles in Mathematics
White Noise Approach To The Itô Formula For The Stochastic Heat Equation, Alberto Lanconelli
White Noise Approach To The Itô Formula For The Stochastic Heat Equation, Alberto Lanconelli
Communications on Stochastic Analysis
No abstract provided.
Local Approximations For Branching Particle Systems, Vladimir Vinogradov
Local Approximations For Branching Particle Systems, Vladimir Vinogradov
Communications on Stochastic Analysis
No abstract provided.
Quantum Stochastic Calculus On Interacting Fock Spaces: Semimartingale Estimates And Stochastic Integral, Vitonofrio Crismale
Quantum Stochastic Calculus On Interacting Fock Spaces: Semimartingale Estimates And Stochastic Integral, Vitonofrio Crismale
Communications on Stochastic Analysis
No abstract provided.
A Complexification Of Rolle’S Theorem, J. P. Pemba, A. R. Davies, N. K. Muoneke
A Complexification Of Rolle’S Theorem, J. P. Pemba, A. R. Davies, N. K. Muoneke
Applications and Applied Mathematics: An International Journal (AAM)
A new version of the classical Rolle’s theorem is proved for any complex-valued differentiable function of the complex variable on an open connected convex subset of the complex field. The associated Mean-Value theorem follows naturally. A few explicit illustrative examples are provided in the closing section of the paper.
Mars Exploration Rover: Mathematics And People Behind The Mission, Uffe Thomas Jankvist, Bjørn Toldbod
Mars Exploration Rover: Mathematics And People Behind The Mission, Uffe Thomas Jankvist, Bjørn Toldbod
The Mathematics Enthusiast
This paper is a selective study of the mathematics and people involved with a specific space mission, namely the Mars Exploration Rover (MER) mission launched in 2003. The specific mathematics of the MER mission are sought uncovered through interviews with applied scientists who worked with different aspects of the mission at the Jet Propulsion Laboratory (JPL). Some of the more specific questions attempted answered through this article for instance concerns if the aerospace industry, exemplified by the MER mission, calls for new developments in mathematics or if it mostly relies on well established theories; how much independence the scientists have …
Gender Disparity In Mathematical Performance Revisited: Can Training In Problem Solving Bring Difference Between Boys And Girls?, M.A. Adeleke
Essays in Education
This study examined the problem solving performance of male and female students’ mathematical problem-solving performances using Conceptual Learning Strategy (CLS) and Procedural Learning Strategy PLS). A sample of 124 science students assigned into CLS, PLS and Conventional Method (CM) groups were involved in the study making use of pretest, post test control group design. The sample was drawn from three intact Senior Secondary School Two (SSII) classes from three local government Areas of Osun State in Nigeria and were taught for a period of eight weeks. Findings of the study showed a non significant difference in the performance of boys …
Mathematics: Always Important, Never Enough: A Christian Perspective On Mathematics And Mathematics Education, Calvin Jongsma
Mathematics: Always Important, Never Enough: A Christian Perspective On Mathematics And Mathematics Education, Calvin Jongsma
Pro Rege
This article is an edited version of the keynote address delivered by Dr. Jongsma at the B.J. Haan Education Conference on Teaching Math in the Christian School, held at Dordt College on March 9, 2006, for elementary and secondary school mathematics teachers, primarily in Christian schools. The article was earlier published online in the 2006 Journal of the ACMS (http://www.acmsonline.org/Jongsma.htm).
Objective Truth Versus Human Understanding In Mathematics And In Chess, Olle Häggström
Objective Truth Versus Human Understanding In Mathematics And In Chess, Olle Häggström
The Mathematics Enthusiast
This paper begins with a review of the collection 18 Unconventional Essays on the Nature of Mathematics edited by Hersh (2006). Inspired especially by the contribution by Thurston to that collection, I then go on to discuss, by means of a couple of thought experiments involving computer "oracles", the nature of mathematics as a human activity, hopefully providing some balance to the simplified view (sometimes held by research mathematicians such as myself) of the discipline as purely a quest for objective truth.
The Philosophy Of Mathematics, Values And Keralese Mathematics, Paul Ernest
The Philosophy Of Mathematics, Values And Keralese Mathematics, Paul Ernest
The Mathematics Enthusiast
This paper explores the philosophical significance of the Keralese and Indian subcontinent contribution to history of mathematics. Identifying the most accurate genesis and trajectory of mathematical ideas in history that current knowledge allows should be the goal of every history of mathematics, and is consistent with any philosophy of mathematics. I argue for the need of a broader conceptualization of philosophy of than the traditional emphasis on scholastic enquiries into epistemology and ontology. For such an emphasis has been associated, though I add need not necessarily be so, with an ideological position that devalues non-European contributions to history of mathematics. …
Mathematics Education And Neurosciences: Relating Spatial Structures To The Development Of Spatial Sense And Number Sense, Fenna Van Nes, Jan De Lange
Mathematics Education And Neurosciences: Relating Spatial Structures To The Development Of Spatial Sense And Number Sense, Fenna Van Nes, Jan De Lange
The Mathematics Enthusiast
The Mathematics Education and Neurosciences (MENS) project is aimed at exploring the development of the mathematical abilities of young (four- to six-year old) children. It is initiated to integrate research from mathematics education with research from educational neuroscience in order to come to a better understanding of how the early skills of young children can best be fostered for supporting the development of mathematical abilities in an educational setting. This paper is specifically focused on the design research that is being conducted from the perspective of mathematics education in which we are investigating the relationship between young children’s insight into …
Looking Back At The Beginning: Critical Thinking In Solving Unrealistic Problems, Mark Applebaum, Roza Leikin
Looking Back At The Beginning: Critical Thinking In Solving Unrealistic Problems, Mark Applebaum, Roza Leikin
The Mathematics Enthusiast
We believe that problem-solving skills engage critical thinking at every phase of problem solution. In this research a special attention is given to the fist phase - "understanding the problem". We consider this phase as a continuation of all the previous mathematical experience, in which understanding of new problems requires "looking back" at those solved in the past. Evaluation of the givens in the problem sometimes allows immediate solution whereas in other cases it shows that solution does not exist. We found that it is not easy for mathematics teachers to discover that a problem includes contradictory (i.e. unrealistic) conditions. …
A Hexagon Result And Its Generalization Via Proof, Michael De Villiers
A Hexagon Result And Its Generalization Via Proof, Michael De Villiers
The Mathematics Enthusiast
This paper presents the discovery of a hexagon result on Geometer’s Sketchpad and its generalization via proof for any 2n-gon. The result is : If ABCDEF is a hexagon with opposite sides parallel (not necessarily equal), then the respective centroids G, H, I, J, K and L of triangles ABC, BCD, CDE, DEF, EFA and FAB, form a hexagon with opposite sides both equal and parallel.
Non-Linear Functions In Secondary School Of Lower Qualification Level (German Hauptschule), Astrid Beckmann
Non-Linear Functions In Secondary School Of Lower Qualification Level (German Hauptschule), Astrid Beckmann
The Mathematics Enthusiast
This article reports of the effectiveness of introducing non-linear functions in a German Hauptschule. Some research based recommendations are provided for practitioners with the goal of improving student competencies in lieu of PISA.
Editorial: New Horizons-Four Years Later, Bharath Sriraman
Editorial: New Horizons-Four Years Later, Bharath Sriraman
The Mathematics Enthusiast
No abstract provided.
Introduction Of A New Construct: The Conceptual Tool "Flexibility", Mette Andresen
Introduction Of A New Construct: The Conceptual Tool "Flexibility", Mette Andresen
The Mathematics Enthusiast
This paper presents a new construct: the conceptual tool ‘Flexibility’. The construct was a result of an attempt to extract experiences of teaching and learning with the use of laptops. It was further developed and refined on the basis of four small-scale teaching experiments. The teaching experiments, being part of a development project in upper secondary school mathematics, investigated the use of laptops for teaching differential equations from a modeling point of view. The research was double-aimed: one objective was to conclude the project with some recommendations for the design of teaching, in the form of guidelines suitable for a …
New And Noteworthy Books From Sense Publishers
New And Noteworthy Books From Sense Publishers
The Mathematics Enthusiast
No abstract provided.
On The Solution To Octic Equations, Raghavendra G. Kulkarni
On The Solution To Octic Equations, Raghavendra G. Kulkarni
The Mathematics Enthusiast
We present a novel decomposition method to decompose an eighth-degree polynomial equation, into its two constituent fourth-degree polynomials, as factors, leading to its solution. The salient feature of the octic equation solved here is that, the sum of its four roots being equal to the sum of the remaining four roots. We derive the condition to be satisfied by coefficients so that the given octic is solvable by the proposed method.
Lie Algebras Associated With The Renormalized Higher Powers Of White Noise, Luigi Accardi, Andreas Boukas
Lie Algebras Associated With The Renormalized Higher Powers Of White Noise, Luigi Accardi, Andreas Boukas
Communications on Stochastic Analysis
No abstract provided.
Infinite-Dimensional Parabolic Equations In Gauss-Sobolev Spaces, Pao-Liu Chow
Infinite-Dimensional Parabolic Equations In Gauss-Sobolev Spaces, Pao-Liu Chow
Communications on Stochastic Analysis
No abstract provided.
Dilation Of A Class Of Quantum Dynamical Semigroups, Debashish Goswami, Kalyan B Sinha
Dilation Of A Class Of Quantum Dynamical Semigroups, Debashish Goswami, Kalyan B Sinha
Communications on Stochastic Analysis
No abstract provided.
The Large Scale Behavior Of Super-Brownian Motion In Three Dimensions With A Single Point Source, Klaus Fleischmann, Carl Mueller, Pascal Vogt
The Large Scale Behavior Of Super-Brownian Motion In Three Dimensions With A Single Point Source, Klaus Fleischmann, Carl Mueller, Pascal Vogt
Communications on Stochastic Analysis
No abstract provided.
Percolation In A Hierarchical Random Graph, D A Dawson, L G Gorostiza
Percolation In A Hierarchical Random Graph, D A Dawson, L G Gorostiza
Communications on Stochastic Analysis
No abstract provided.
The Representation Of Conditional Expectations For Non-Gaussian Noise, Tobias Kuna, Ludwig Streit
The Representation Of Conditional Expectations For Non-Gaussian Noise, Tobias Kuna, Ludwig Streit
Communications on Stochastic Analysis
No abstract provided.
Schrödinger Operators On The Wiener Space, Ichiro Shigekawa
Schrödinger Operators On The Wiener Space, Ichiro Shigekawa
Communications on Stochastic Analysis
No abstract provided.
A Central Limit Type Theorem For A Class Of Particle Filters, Dan Crisan, Jie Xiong
A Central Limit Type Theorem For A Class Of Particle Filters, Dan Crisan, Jie Xiong
Communications on Stochastic Analysis
No abstract provided.
Stochastic 2-D Navier-Stokes Equation With Artificial Compressibility, Utpal Manna, J L Menaldi, S S Sritharan
Stochastic 2-D Navier-Stokes Equation With Artificial Compressibility, Utpal Manna, J L Menaldi, S S Sritharan
Communications on Stochastic Analysis
No abstract provided.
Infinite Dimensional Laplacians On A Lévy-Gelfand Triple, Abdessatar Barhoumi, Hui-Hsiung Kuo, Habib Ouerdiane
Infinite Dimensional Laplacians On A Lévy-Gelfand Triple, Abdessatar Barhoumi, Hui-Hsiung Kuo, Habib Ouerdiane
Communications on Stochastic Analysis
No abstract provided.
Application Of White Noise Calculus In Evaluating The Path Integral In Relativistic Quantum Mechanics, C C Bernido, J B Bornales, M V Carpio-Bernido
Application Of White Noise Calculus In Evaluating The Path Integral In Relativistic Quantum Mechanics, C C Bernido, J B Bornales, M V Carpio-Bernido
Communications on Stochastic Analysis
No abstract provided.