THE MODEL OF SHOULDER JOINT OF GYMNAST INTERACT WITH THE LONG SWING GYMNASTIC ELEMENT ON PARALLEL BARS

The purpose of this study was to identify the shoulder movement pattern which interacts with a long swing gymnastic movement (Belle). Four (4) national level gymnasts in China performed eight repetitions of movement (Belle), on the middle of parallel bars. Reflective markers (14mm) and ten high-speed cameras (ViconT40S,100Hz) were used to observe the time history of attached markers on the parallel bars and subjects. The coordinates of the necessary markers were calculated using ViconT40S digitizing software. The stiffness coefficient of the shoulder joints (KS=31667.5N.m-1) were estimated through the model. The reaction on the Humeral head (RS=194.45N) at the vertical position of under the bars is very much lower than the other places. This implied shoulders at the bottom of the motion should be flexible and soft. KEYWORDS:stiffness of shoulder, Belle movement, Humeral head, parallel bars

Mathematical Modeling for Charlotte-Mecklenburg School Zones

The Charlotte-Mecklenburg school district (CMS) is the 18th largest district in theUnited States and Charlotte is one of the fastest growing cities in the United States, leading toseveral severely overcrowded schools. Therefore, CMS is in desperate need of an effective mathematicalmodel to create school attendance zone plans that maximizes efficiency and equity. Thispaper presents Voronoi mathematical models to fairly partition the CMS district. The models createdbalance school socioeconomic demographics, minimizes school overcrowdedness, and reducesinconvenient commutes. These factors are aligned with the CMS school board goals for attendancezone plans and are considered for their impact on student success. This paper provides a uniquecontribution to the pursuit of equity in the CMS district by constructing mathematical models whichhave not been seriously considered as a helpful tool in the fight against this complex issue

Simulations on a Mathematical Model of Dengue Fever with a Focus on Mobility

Dengue fever is a major public health threat, especially for countries in tropical climates. In order to investigate the spread of dengue fever in neighboring communities, an ordinary differential equation model is formulated based on two previous models of vector-borne diseases, one that specifically describes dengue fever transmission and another that incorporates movement of populations when describing malaria transmission. The resulting SIR/SI model is used to simulate transmission of dengue fever in neighboring communities of differing population size with particular focus on cities in Sri Lanka. Models representing connections between two communities and among three communities are investigated. Initial infection details and relative population size may affect the dynamics of disease spread. An outbreak in a highly populated area may spread somewhat more rapidly through that area as well as neighboring communities than an outbreak beginning in a nearby rural area

A computational investigation on how visitation affects the reproduction number in a dengue fever model

Dengue fever is transmitted by day-biting mosquitoes in tropical climates and is a major public threat for many countries. Ordinary differential equation models can be used to describe how infectious diseases move throughout populations, and predictions from these models may help in the development of effective treatment strategies. In order to investigate the spread of dengue fever in neighboring communities, a previously developed SIR/SI model of dengue transmission in neighboring communities in Sri Lanka was used to generate the basic reproduction number, R0. Parameters for time spent in neighboring communities were varied in order to investigate how time spent in communities of different sizes affects the reproduction number. Results suggest that movement of individuals among communities increases the reproduction number, especially if people are traveling to a population of greater size

ආදි ම මුද්‍රිත ක්‍රිස්තියානි සිංහල සාහිත්‍ය කෘති හා තදීය භාෂා ලක්ෂණ

ආදි ම මුද්‍රිත ක්‍රිස්තියානි සිංහල සාහිත්‍ය කෘති හා තදීය භාෂා ලක්ෂ

Exploring linear algebra : labs and projects with Mathematica

xi, 139 p. ; 24 c

Exploring linear algebra: labs and projects with Mathematica

Matrix Operations Lab 0: An Introduction to Mathematica Lab 1: Matrix Basics and Operations Lab 2: A Matrix Representation of Linear Systems Lab 3: Powers, Inverses, and Special Matrices Lab 4: Graph Theory and Adjacency Matrices Lab 5: Permutations and Determinants Lab 6: 4 x 4 Determinants and Beyond Project Set 1 Invertibility Lab 7: Singular or Nonsingular? Why Singularity Matters Lab 8: Mod It Out, Matrices with Entries in ZpLab 9: It's a Complex World Lab 10: Declaring Independence: Is It Linear? Project Set 2 Vector Spaces Lab 11: Vector Spaces and SubspacesLab 12: Basing It All on Just a Few Vectors Lab 13: Linear Transformations Lab 14: Eigenvalues and Eigenspaces Lab 15: Markov Chains, An Application of Eigenvalues Project Set 3 Orthogonality Lab 16: Inner Product Spaces Lab 17: The Geometry of Vector and Inner Product SpacesLab 18: Orthogonal Matrices, QR Decomposition, and Least Squares Regression Lab 19: Symmetric Matrices and Quadratic Forms Project Set 4 Matrix Decomposition with Applications Lab 20: Singular Value Decomposition (SVD) Lab 21: Cholesky Decomposition and Its Application to Statistics Lab 22: Jordan Canonical Form Project Set 5 Applications to Differential Equations Lab 23: Linear Differential Equations Lab 24: Higher-Order Linear Differential Equations Lab 25: Phase Portraits, Using the Jacobian Matrix to Look Closer at Equilibria Project Set 6 Mathematica Demonstrations and References Index

Exploring linear algebra : labs and projects with mathematica�

Labs and Projects with Mathematica� is a hands-on lab manual for daily use in the classroom. Each lab includes exercises, theorems, and problems that guide your students on an exploration of linear algebra. The exercises section integrates problems, technology, Mathematica� visualization, and Mathematica CDFs, enabling students to discover the theory and applications of linear algebra in a meaningful way. The theorems and problems section presents the theoretical aspects of linear algebra. Students are encouraged to discover the truth of each theorem and problem, to move toward proving (or disproving) each statement, and to present their results to their peers. Each chapter also contains a project set consisting of application-driven projects that emphasize the material in the chapter. Students can use these projects as the basis for further undergraduate research