Reexamining Archimedes quadrature of the parabola with dynamic geometry

Date

2009-01-01

Author

Erbaş, Ayhan Kürşat

Metadata

Show full item record

Item Usage Stats

78
views

0
downloads

URI

http://www.macejournal.org/
https://hdl.handle.net/11511/73349

Journal

Mathematics and Computer Education

Collections

Unverified, Article

Suggestions

OpenMETU
Core

Reevaluating Spectral Partitioning for Unsymmetric Matrices Oktay, Eda; Manguoğlu, Murat; Yücel, Hamdullah; Department of Scientific Computing (2020-9) Parallel solutions to scientific problems having graph representation require efficienttasks and partitioning data. In this thesis, various parallel graph partitioning algorithms are studied. While these algorithms are applicable to both directed and undirected graphs, we focus on the directed case whose matrix representations are sparse and unsymmetric arising in linear system of equations representing various application domains such as computational fluid dynamics and thermal problems. Strategies inspec...
Reassessing tradeoffs inherent to simultaneous maintenance and production planning Batun, Sakine (Wiley, 2012-03-01) Previous work has considered the simultaneous (as opposed to sequential) optimization of a maintenance policy and a production policy in a multi-product setting with random yield and product mix constraints. One of the sequential approaches to which the simultaneous approach is compared is a so-called first-come-first-served (FCFS) approach, i.e., an approach that generates randomized production policies that do not depend on the deterioration state of the machine. However, the model formulation for this ap...
Reroute sequence planning in multiprotocol label switching networks Özbilgin, İzzet Gökhan; Bazlamaçcı, Cüneyt Fehmi; Department of Electrical and Electronics Engineering (2004) The growth of the Internet has caused the development of new protocols that enable IP networks to be engineered efficiently. One such protocol, Multiprotocol Label Switching (MPLS) enables IP datagrams in backbone networks to be forwarded based on the label switching forwarding paradigm. In MPLS networks, rerouting of Label Switching Paths (LSPs) can be needed in order to attain a better resource utilization in the network. In this case, a sequence of LSPs has to be found for their one by one reconfiguratio...
Relativistic solution in D-dimensions to a spin-zero particle for equal scalar and vector ring-shaped Kratzer potential IKHDAİR, SAMEER; Sever, Ramazan (2008-03-01) The Klein-Gordon equation in D-dimensions for a recently proposed ring-shaped Kratzer potential is solved analytically by means of the conventional Nikiforov-Uvarov method. The exact energy bound states and the corresponding wave functions of the Klein-Gordon are obtained in the presence of the non-central equal scalar and vector potentials. The results obtained in this work are more general and can be reduced to the standard forms in three dimensions given by other works.
Relativistic and nonrelativistic bound states of the isotonic oscillator by Nikiforov-Uvarov method IKHDAİR, SAMEER; Sever, Ramazan (2011-12-01) A nonpolynomial one-dimensional quantum potential in the form of an isotonic oscillator (harmonic oscillator with a centripetal barrier) is studied. We provide the nonrelativistic bound state energy spectrum E(n) and the wave functions psi(n)(chi) in terms of the associated Laguerre polynomials in the framework of the Nikiforov-Uvarov method. Under the spin and pseudospin symmetric limits, the analytic eigenvalues and the corresponding two-component upper-and lower-spinors of the Dirac particle are obtained...

Citation Formats

A. K. Erbaş, “Reexamining Archimedes quadrature of the parabola with dynamic geometry,” Mathematics and Computer Education, pp. 165–180, 2009, Accessed: 00, 2021. [Online]. Available: http://www.macejournal.org/.