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Articles 1 - 30 of 34
Full-Text Articles in Mathematics
Asymptotic Behavior Of Linearized Viscoelastic Flow Problem, Yinnian He, Yi Li
Asymptotic Behavior Of Linearized Viscoelastic Flow Problem, Yinnian He, Yi Li
Yi Li
In this article, we provide some asymptotic behaviors of linearized viscoelastic flows in a general two-dimensional domain with certain parameters small and the time variable large.
Intersecting Families And Definability, Andrés Caicedo
Intersecting Families And Definability, Andrés Caicedo
Andrés E. Caicedo
No abstract provided.
A Symbolic Operator Approach To Power Series Transformation-Expansion Formulas, Tian-Xiao He
A Symbolic Operator Approach To Power Series Transformation-Expansion Formulas, Tian-Xiao He
Tian-Xiao He
In this paper we discuss a kind of symbolic operator method by making use of the defined Sheffer-type polynomial sequences and their generalizations, which can be used to construct many power series transformation and expansion formulas. The convergence of the expansions are also discussed.
Analysis On The Strip-Based Projection Model For Discrete Tomography, Jiehua Zhu, Xiezhang Li, Yangbo Ye, Ge Wang
Analysis On The Strip-Based Projection Model For Discrete Tomography, Jiehua Zhu, Xiezhang Li, Yangbo Ye, Ge Wang
Xiezhang Li
Discrete tomography deals with image reconstruction of an object with finitely many gray levels (such as two). Different approaches are used to model the raw detector reading. The most popular models are line projection with a lattice of points and strip projection with a lattice of pixels/cells. The line-based projection model fits some applications but involves a major approximation since the x-ray beams of finite widths are simplified as line integrals. The strip-based projection model formulates projection equations according to the fractional areas of the intersection of each strip-shaped beam and the rectangular grid of an image to be reconstructed, …
Counting Pattern-Avoiding Permutations, Lara Pudwell
Counting Pattern-Avoiding Permutations, Lara Pudwell
Lara K. Pudwell
No abstract provided.
Dayton Public Schools And Wright State University: Mathematics Inquiry Professional Development Program For Grades 6-12 Teachers, J. Brown, Shannon Driskell
Dayton Public Schools And Wright State University: Mathematics Inquiry Professional Development Program For Grades 6-12 Teachers, J. Brown, Shannon Driskell
Shannon O.S. Driskell
Brown, J. (PI) & Driskell, S. (Supporting), Ohio Department of Education, K-12 Math Professional Development, $358,798, June 2009 - June 2009.
A Note On Mustata's Computation Of Multiplier Ideals Of Hyperplane Arrangements, Zach Teitler
A Note On Mustata's Computation Of Multiplier Ideals Of Hyperplane Arrangements, Zach Teitler
Zach Teitler
In 2006, M. Mustata used jet schemes to compute the multiplier ideals of reduced hyperplane arrangements. We give a simpler proof using a log resolution and generalize to non-reduced arrangements. By applying the idea of wonderful models introduced by De Concini–Procesi in 1995, we also simplify the result. Indeed, Mustat¸˘a’s result expresses the multiplier ideal as an intersection, and our result uses (generally) fewer terms in the intersection.
An Improved Multi-Set Algorithm For The Dense Subset Sum Problem, Andrew Shallue
An Improved Multi-Set Algorithm For The Dense Subset Sum Problem, Andrew Shallue
Andrew Shallue
No abstract provided.
Motivation In Secondary Mathematics: How Lesson Structure Impacts Student Engagement, Vicki Beata
Motivation In Secondary Mathematics: How Lesson Structure Impacts Student Engagement, Vicki Beata
Leah A. Nillas
The purpose of this research is to see how students are engaged emotionally, behaviorally, and cognitively in different types of math lessons. Shernoff, Csikszentmihalyi, Schneider, and Shernoff (2003) found that students had a higher quality of experience (mood, esteem, intensity, and motivation) when they were involved in individual or group work. This study analyzed transcriptions, observations and student work from three pre-calculus lessons, a survey about students’ engagement in different types of lessons and an open-ended survey about the researcher’s teaching style. The results of the study were that students enjoy and are more engaged in lessons that require the …
Reading Rainbow: Assessing Effectiveness In Literacy Technology, Liz Russ, Erin Meehan
Reading Rainbow: Assessing Effectiveness In Literacy Technology, Liz Russ, Erin Meehan
Leah A. Nillas
“Children’s Television Workshop and the University of Nebraska created a program, ‘Reading Rainbow’ to promote recreational reading in early readers” (Tarnauskas, 1995). Since its creation, this literacy technology has thrilled and delighted first and second grade audiences, but little to no research has been done on the effectiveness of this program. What is the outcome of the Reading Rainbow program on students’ literacy? This research study investigated the effect of the Reading Rainbow program on literacy of 21 diverse first grade students. Data was obtained through qualitative methods including observations and focus group interviews with students, as well as interviews …
On A = Mp Heronian Triangles And V = Ma Cones, John Hawkins, David Stone
On A = Mp Heronian Triangles And V = Ma Cones, John Hawkins, David Stone
John B. Hawkins
A determining all such triangles with area = m (perimeter). We also consider the analogous problem of finding cones with integer radius and height satisfying volume = m (total surface area). Recent activity and results on both problems have appeared recently in the School Science and Mathematics Problem Section and in the Mathematics Magazine, where our conjecture that the largest A = mP triangle is m2 +2, (4m2 +1)2,(16m4 +12m2) +1 was settled affirmatively.
College Algebra Applications Using Ti-84 Apps, Lisa Yocco
College Algebra Applications Using Ti-84 Apps, Lisa Yocco
Lisa S. Yocco
No abstract provided.
College Algebra Applications Using Ti-84 Apps, Lisa Yocco
College Algebra Applications Using Ti-84 Apps, Lisa Yocco
Lisa S. Yocco
No abstract provided.
Enrich Your Algebra Course With Apps And Ti Smart View On The Ti-84, Lisa Yocco
Enrich Your Algebra Course With Apps And Ti Smart View On The Ti-84, Lisa Yocco
Lisa S. Yocco
No abstract provided.
Enrich Your Algebra Course With Apps And Ti Smart View On The Ti-84, Lisa Yocco
Enrich Your Algebra Course With Apps And Ti Smart View On The Ti-84, Lisa Yocco
Lisa S. Yocco
No abstract provided.
Percentage-Based Versus Power-Based Vote Tabulation Statistical Audits, John Mccarthy, Howard Stanislevic, Mark Lindeman, Arlene S. Ash, Vittorio Addona, Mary Batcher
Percentage-Based Versus Power-Based Vote Tabulation Statistical Audits, John Mccarthy, Howard Stanislevic, Mark Lindeman, Arlene S. Ash, Vittorio Addona, Mary Batcher
Vittorio Addona
An audit model is presented to address inefficient percentage-based election audits. Presented to state and local election officials and legislators.
How To Cleverly Count Pattern-Avoiding Words, Lara Pudwell
How To Cleverly Count Pattern-Avoiding Words, Lara Pudwell
Lara K. Pudwell
No abstract provided.
Honey, I Shrunk The Dollar, Lisa Yocco, Ronald Harshbarger
Honey, I Shrunk The Dollar, Lisa Yocco, Ronald Harshbarger
Lisa S. Yocco
No abstract provided.
C^1 Actions Of The Mapping Class Group On The Circle, Kamlesh Parwani
C^1 Actions Of The Mapping Class Group On The Circle, Kamlesh Parwani
Kamlesh Parwani
Let S be a connected orientable surface with finitely many punctures, finitely many boundary components, and genus at least 6. Then any C^1 action of the mapping class group of S on the circle is trivial. The techniques used in the proof of this result permit us to show that products of Kazhdan groups and certain lattices cannot have C^1 faithful actions on the circle. We also prove that for n > 5, any C^1 action of Aut(F_n) or Out(F_n) on the circle factors through an action of Z/2Z.
The Two Variable Substitution Problem For Free Products Of Groups, Leo P. Comerford, Charles C. Edmunds
The Two Variable Substitution Problem For Free Products Of Groups, Leo P. Comerford, Charles C. Edmunds
Leo Comerford
We consider equations of the form W(x,y) = U with U an element of a free product G of groups. We show that with suitable algorithmic conditions on the free factors of G, one can effectively determine whether or not the equations have solutions in G. We also show that under certain hypotheses on the free factors of G and the equation itself, the equation W(x,y) = U has only finitely many solutions, up to the action of the stabilizer of W(x,y) in Aut().
Double Cross Playing Diamonds, Rudolf Kaehr
Double Cross Playing Diamonds, Rudolf Kaehr
Rudolf Kaehr
Understanding interactivity in/between bigraphs and diamonds Grammatologically, the Western notational system is not offering space in itself to place sameness and otherness necessary to realize interaction/ality. Alphabetism is not prepared to challenge the dynamics of interaction directly. The Chinese writing system in its scriptural structuration, is able to place complex differences into itself, necessary for the development and design of formal systems and programming languages of interaction. The challenge of interactionality to Western thinking, modeling and design interactivity has to be confronted with the decline of the scientific power of alpha-numeric notational systems as media of living in a complex …
Short Studies 2008. Adventures In Diamond Strategies Of Change(S), Rudolf Kaehr
Short Studies 2008. Adventures In Diamond Strategies Of Change(S), Rudolf Kaehr
Rudolf Kaehr
Modular Bolognese Paradoxes of postmodern education. A Tale of Fishes, Birds and Diamonds in Second-Order Epistemology Why it is useless to write about the mono-contexturality of alphabetism and digitalism Chez Maxime's Human rights in a polycontextural world Primary Thoughts to a Manifesto for Awareness Fashion Marketing Which Equality? How equal are equal human beings? Generalized Diamonds From monosemic to tectonic complementarity Diamond Disremption Diamond interpretation of the kenomic succession operation Diamond Web2.0? How social is social networking? Web Mobility Web computing between semiotic and kenomic spaces Double Cross Playing Diamonds Understanding interactivity in/between bigraphs and diamonds Morphogrammatics of Change A …
The Adaptability Principle Of Mechanical Law And The Scale-Invariant Principle Of Mechanical Law In Fractal Space, Yang Xiaojun
The Adaptability Principle Of Mechanical Law And The Scale-Invariant Principle Of Mechanical Law In Fractal Space, Yang Xiaojun
Xiao-Jun Yang
The adaptability principle of mechanical law and the scale-invariant principle of mechanical law in fractal space are proved by using parameter-space and scale-space transforms in renormalization groups.From the space-transform angle,the transform of mechanical law from fractal space to European space is the scale-invariant transform while the transform of mechanical law from European space to fractal space is the adaptability transform.Their deductions are that law of conservation of energy and vectorial resultant of force and displacement in fractal space hold the line in form and Carpinteri's dimensional formula of fractal space is also proved. Namely,the spilling dimension of volume in fractal …
Fractional Definite Integral, Yang Xiaojun
Fractional Definite Integral, Yang Xiaojun
Xiao-Jun Yang
Fractional definite integral is that a value of the integral calculus over given interva1．Under the circumstance of fractional dimension，fractional definite integral is important to compute some value in given interva1．It is complied with starting introducing definition，the properties，leads into fractional integral function of definition and the properties，and then induces to basic theorems for fractional integral calculus
Mobile Instructional Laboratory Environments And Their Use In Computing Sciences, Stefan Robila, Bert Wachsmuth, Christelle Scharff, Jeffrey Popyack
Mobile Instructional Laboratory Environments And Their Use In Computing Sciences, Stefan Robila, Bert Wachsmuth, Christelle Scharff, Jeffrey Popyack
Bert Wachsmuth
The term 'mobile instructional laboratory' refers to using mobile computing devices such as notebooks for transforming a classroom into a lab setting with the goal of enhancing the practical experience, interaction and understanding. A major goal in all the computing disciplines is to provide students with hands on activities that will enhance their learning of concepts and their professional experience. As such, CS and IT programs require investments in dedicated laboratories that will support applied activities for most of the courses. Unfortunately, space and other resource limitations usually do not allow for permanent creation of such labs. In parallel, current …
Programmatic Assessment Of Mathematical Content Knowledge For Teaching, Shannon Driskell, G. Keen
Programmatic Assessment Of Mathematical Content Knowledge For Teaching, Shannon Driskell, G. Keen
Shannon O.S. Driskell
Driskell, S. (Co-PI), & Keen, G. (Co-PI), WeEXCEL (West Ohio Center of Excellence for Science and Mathematics Education) Mini-Grant, $9,000 Year: 2008
Enumeration Schemes For Words Avoiding Patterns With Repeated Letters, Lara Pudwell
Enumeration Schemes For Words Avoiding Patterns With Repeated Letters, Lara Pudwell
Lara K. Pudwell
No abstract provided.
Intrinsic Linking And Knotting Are Arbitrarily Complex, Ramin Naimi, Erica Flapan, Blake Mellor
Intrinsic Linking And Knotting Are Arbitrarily Complex, Ramin Naimi, Erica Flapan, Blake Mellor
Ramin Naimi
We show that, given any $n$ and $\alpha$, every embedding of any sufficiently large complete graph in $\mathbb{R}^3$ contains an oriented link with components $Q_1$, ..., $Q_n$ such that for every $i\not =j$, $|\lk(Q_i,Q_j)|\geq\alpha$ and $|a_2(Q_i)|\geq\alpha$, where $a_{2}(Q_i)$ denotes the second coefficient of the Conway polynomial of $Q_i$.
Highly Connected Multicoloured Subgraphs Of Multicoloured Graphs, H. Liu, R. Morris, N. Prince
Highly Connected Multicoloured Subgraphs Of Multicoloured Graphs, H. Liu, R. Morris, N. Prince
Noah Prince
Suppose the edges of the complete graph on n vertices, E(Kn), are coloured using r colours; how large a k-connected subgraph are we guaranteed to find, which uses only at most s of the colours? This question is due to Bollobás, and the case s=1 was considered in Liu et al. [Highly connected monochromatic subgraphs of multicoloured graphs, J. Graph Theory, to appear]. Here we shall consider the case s is greater than or equal to 2, proving in particular that when s=2 and r+1 is a power of 2 then the answer lies between 4n/(r+1)-17kr(r+2k+1) and 4n/(r+1)+4 and that …
On KS,T-Minors In Graphs With Given Average Degree, A. V. Kostochka, N. Prince
On KS,T-Minors In Graphs With Given Average Degree, A. V. Kostochka, N. Prince
Noah Prince
Let D(H) be the minimum d such that every graph G with average degree d has an H-minor. Myers and Thomason found good bounds on D(H) for almost all graphs H and proved that for 'balanced' H random graphs provide extremal examples and determine the extremal function. Examples of 'unbalanced graphs' are complete bipartite graphs Ks,t for a fixed s and large t. Myers proved upper bounds on D(Ks,t ) and made a conjecture on the order of magnitude of D(Ks,t ) for a fixed s and …