Conference Session

Integrating Math, Science and Engineering

Collection

2008 Annual Conference & Exposition

Authors

Josue Njock-Libii

Tagged Divisions

Mathematics

Eq.(3) is a reliable modelfor the oscillations of a mass that is suspended to a linear spring in a laboratory setting.The remainder of this paper is organized in the following manner: first, the Fouriertheorem is stated and its use in the present context is discussed. Then, the design of theexperiment is presented. Next, experimental data are presented and analyzed using theFourier theorem to generate the Fourier coefficients. Finally, these experimentalcoefficients are compared to those derived from the solution of the differential equationitself.The Fourier theorem and its useIf x(t) is a periodic function with period k, its Fourier series representation is given by a0x (t ) ? - (a1 cosyt - b1 sin yt ) - (a2 cos 2yt - b2 sin 2yt

Conference Session

Engineering and Math Potpouri

Collection

2008 Annual Conference & Exposition

Authors

Jeffrey Fong, National Institute of Standards and Technology; James Filliben, National Institute of Standards and Technology; Alan Heckert, National Institute of Standards and Technology; Roland deWit, National Institute of Standards and Technology

Tagged Divisions

Mathematics

Modeling and Analysis Group in the Statistical Engineering Division of the Information Technology Laboratory at the National Institute of Standards and Technology (NIST), Gaithersburg, Maryland. He earned his BA (1965) in Mathematics from LaSalle College, and PhD (1969) in Statistics from Princeton University. He joined the technical staff of NIST in 1969, and has more than 50 papers in refereed journals and 200 talks and short courses to his credit. In 2003, he became a Fellow of the American Statistical Association.Alan Heckert, National Institute of Standards and Technology Alan Heckert earned his B.S. degree in mathematics at the Frostburg State University in 1978, and his

Conference Session

Engineering and Math Potpouri

Collection

2008 Annual Conference & Exposition

Authors

S.K. Sen, Florida Institute of Technology; Gholam Ali Shaykhian, NASA

Tagged Divisions

Mathematics

has 58 systems. In Asia, Japan leads with20 systems, Taiwan has 11, China 10 and India 9 [18]. The No. 1 position goes to the BlueGene/L System, a joint development of IBM and theUS Department of Energy's (DOE) National Nuclear Security Administration (NNSA) andinstalled at DOE's Lawrence Livermore National Laboratory in California. AlthoughBlueGene/L has been in the No. 1 position since November 2004, the current system is muchfaster at 478.2 teraflops compared to 280.6 teraflops six months ago before its upgrade. BlueGene/P system installed in Germany at the Forschungszentrum Juelich (FZJ) is in theNo. 2 position with the processing speed of 167.3 teraflops while the No. 3 system is at the