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Articles 2521 - 2550 of 2865

Full-Text Articles in Physical Sciences and Mathematics

Letter From The Editor, Issue 10, 1994, Alvin White Aug 1994

Letter From The Editor, Issue 10, 1994, Alvin White

Humanistic Mathematics Network Journal

No abstract provided.

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Applied Mathematics Should Be Taught Mixed, Gary I. Brown Aug 1994

Applied Mathematics Should Be Taught Mixed, Gary I. Brown

Humanistic Mathematics Network Journal

No abstract provided.

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Female Voices In Mathematics: A New Course, Shobha Gulati Aug 1994

Female Voices In Mathematics: A New Course, Shobha Gulati

Humanistic Mathematics Network Journal

No abstract provided.

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Epsilon And Delta: A Little Love Story, Bonnie Shulman Aug 1994

Epsilon And Delta: A Little Love Story, Bonnie Shulman

Humanistic Mathematics Network Journal

No abstract provided.

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What Changes Should Be Made For The Second Edition Of The Nctm Standards?, Zalman Usiskin Aug 1994

What Changes Should Be Made For The Second Edition Of The Nctm Standards?, Zalman Usiskin

Humanistic Mathematics Network Journal

No abstract provided.

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Math: It's Not Just A Four Letter Word, Susan Byerly Aug 1994

Math: It's Not Just A Four Letter Word, Susan Byerly

Humanistic Mathematics Network Journal

No abstract provided.

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Poetry, Helen Lewy Aug 1994

Poetry, Helen Lewy

Humanistic Mathematics Network Journal

No abstract provided.

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Mathematics In Literature And Poetry, Joanne S. Growney Aug 1994

Mathematics In Literature And Poetry, Joanne S. Growney

Humanistic Mathematics Network Journal

No abstract provided.

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Nctm Standards, Second Edition: A Review And Commentary On Zalman Usiskin's Address, Harald M. Ness Aug 1994

Nctm Standards, Second Edition: A Review And Commentary On Zalman Usiskin's Address, Harald M. Ness

Humanistic Mathematics Network Journal

No abstract provided.

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Humacrostic, Stephen I. Brown Aug 1994

Humacrostic, Stephen I. Brown

Humanistic Mathematics Network Journal

No abstract provided.

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Subpicosecond Thomson Scattering Measurements Of Optically Ionized Helium Plasmas, T. E. Glover, Thomas D. Donnelly, E. A. Lipman, A. Sullivan, R. W. Falcone Jul 1994

Subpicosecond Thomson Scattering Measurements Of Optically Ionized Helium Plasmas, T. E. Glover, Thomas D. Donnelly, E. A. Lipman, A. Sullivan, R. W. Falcone

All HMC Faculty Publications and Research

We present the first subpicosecond time-resolved temperature measurements of plasmas produced by high-intensity optical ionization. Thomson scattering is used to measure electron and ion temperatures of helium plasmas created by 125 fs, 800 nm laser pulses focused to an intensity of 2 × 1017 W/cm2. We find that the electron temperature is accurately predicted by a tunneling ionization model. The measured ion temperature is consistent with direct heating by the laser pulse.

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Radially Symmetric Solutions To A Dirichlet Problem Involving Critical Exponents, Alfonso Castro, Alexandra Kurepa Jun 1994

Radially Symmetric Solutions To A Dirichlet Problem Involving Critical Exponents, Alfonso Castro, Alexandra Kurepa

All HMC Faculty Publications and Research

In this paper we answer, for N = 3,4, the question raised in [1] on the number of radially symmetric solutions to the boundary value problem -Δu(x) = λu(x) + u(x)|u(x)|^{4/(N-2)}, x ε B: = x ε RN:{|x| < 1}, u(x)=0, x ε ∂B, where Δ is the Laplacean operator and λ>0. Indeed, we prove that if N = 3,4, then for any λ>0 this problem has only finitely many radial solutions. For N = 3,4,5 we show that, for each λ>0, the set of radially symmetric solutions is bounded. Moreover, we establish geometric properties of the branches of solutions bifurcating from zero and from infinity.

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Tabletop X-Ray Lasers, D. C. Eder, P. Amendt, L. B. Dasilva, R. A. London, B. J. Macgowan, D. L. Matthews, B. M. Penetrante, M. D. Rosen, S. C. Silks, Thomas D. Donnelly, R. W. Falcone, G. L. Strobel May 1994

Tabletop X-Ray Lasers, D. C. Eder, P. Amendt, L. B. Dasilva, R. A. London, B. J. Macgowan, D. L. Matthews, B. M. Penetrante, M. D. Rosen, S. C. Silks, Thomas D. Donnelly, R. W. Falcone, G. L. Strobel

All HMC Faculty Publications and Research

Details of schemes for two tabletop size x‐ray lasers that require a high‐intensity short‐pulse driving laser are discussed. The first is based on rapid recombination following optical‐field ionization. Analytical and numerical calculations of the output properties are presented. Propagation in the confocal geometry is discussed and a solution for x‐ray lasing in Li‐like N at 247 Å is described. Since the calculated gain coefficient depends strongly on the electron temperature, the methods of calculating electron heating following field ionization are discussed. Recent experiments aimed at demonstrating lasing in H‐like Li at 135 Å are discussed along with modeling results. The …

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X-Rays From Microstructured Targets Heated By Femtosecond Lasers, S. P. Gordon, Thomas D. Donnelly, A. Sullivan, H. Hamster, R. W. Falcone Apr 1994

X-Rays From Microstructured Targets Heated By Femtosecond Lasers, S. P. Gordon, Thomas D. Donnelly, A. Sullivan, H. Hamster, R. W. Falcone

All HMC Faculty Publications and Research

We have demonstrated efficient conversion of ultrashort-pulse laser energy to x rays with energies above 1 keV, using laser-produced plasmas generated on a variety of microstructured surfaces. Lithographically produced grating targets generated 0.1 mJ of kilo-electron-volt x rays, and porous gold and aluminum targets emitted 1 mJ. This represents an improvement of a factor of 100 over flat targets. The K-shell emission spectrum of porous aluminum was composed primarily of heliumlike spectral lines.

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Letter From The Editor, Issue 9, 1994, Alvin White Feb 1994

Letter From The Editor, Issue 9, 1994, Alvin White

Humanistic Mathematics Network Journal

No abstract provided.

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Mathematics And The Arts: Taking Their Resemblances Seriously, Frederick Reiner Feb 1994

Mathematics And The Arts: Taking Their Resemblances Seriously, Frederick Reiner

Humanistic Mathematics Network Journal

No abstract provided.

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Students' Understanding Of Functions In Calculus Courses, G. S. Monk Feb 1994

Students' Understanding Of Functions In Calculus Courses, G. S. Monk

Humanistic Mathematics Network Journal

No abstract provided.

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Poems, Lee Goldstein Feb 1994

Poems, Lee Goldstein

Humanistic Mathematics Network Journal

No abstract provided.

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Complete Issue 9, 1994 Feb 1994

Complete Issue 9, 1994

Humanistic Mathematics Network Journal

No abstract provided.

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Letter To The Editor, Ken Ross Feb 1994

Letter To The Editor, Ken Ross

Humanistic Mathematics Network Journal

No abstract provided.

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The Language Of Mathematics: A Quantitative Course For A General Audience, Stephanie F. Singer Feb 1994

The Language Of Mathematics: A Quantitative Course For A General Audience, Stephanie F. Singer

Humanistic Mathematics Network Journal

No abstract provided.

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Writing Mathematics, E. G. Bernard Feb 1994

Writing Mathematics, E. G. Bernard

Humanistic Mathematics Network Journal

No abstract provided.

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Mathematics For Math Majors: Loss Of Self-Esteem, Chun-Ip Fung, Man-Keung Siu Feb 1994

Mathematics For Math Majors: Loss Of Self-Esteem, Chun-Ip Fung, Man-Keung Siu

Humanistic Mathematics Network Journal

No abstract provided.

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Philosophy Of Mathematics, Mathematics Education, And Philosophy Of Mathematics Education, Yuxin Zheng Feb 1994

Philosophy Of Mathematics, Mathematics Education, And Philosophy Of Mathematics Education, Yuxin Zheng

Humanistic Mathematics Network Journal

No abstract provided.

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Space Venture, Edward E. Chipman Feb 1994

Space Venture, Edward E. Chipman

Humanistic Mathematics Network Journal

No abstract provided.

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Back Matter, Issue 9, 1994 Feb 1994

Back Matter, Issue 9, 1994

Humanistic Mathematics Network Journal

No abstract provided.

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Uniqueness Of Stable And Unstable Positive Solutions For Semipositone Problems, Alfonso Castro, Sudhasree Gadam Feb 1994

Uniqueness Of Stable And Unstable Positive Solutions For Semipositone Problems, Alfonso Castro, Sudhasree Gadam

All HMC Faculty Publications and Research

Abstract not included in this article.

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Review: J.M. Aarts And T. Nishiura, Dimension And Extensions (Amsterdam, London, New York, And Tokyo, 1993), Melvin Henriksen Jan 1994

Review: J.M. Aarts And T. Nishiura, Dimension And Extensions (Amsterdam, London, New York, And Tokyo, 1993), Melvin Henriksen

All HMC Faculty Publications and Research

Reviewed work: J. M. Aarts and T. Nishiura. Dimension and extensions. North-Holland Math. Library, Amsterdam, London, New York, and Tokyo, 1993, xii + 331 pp., $106.50. ISBN 0444897402.

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Resonance Raman Investigation Of The Radical Cation Of 1,3,5-Hexatriene, Tamas Keszthelyi, Robert Wilbrandt, Robert J. Cave, Jenifer L. Johnson Jan 1994

Resonance Raman Investigation Of The Radical Cation Of 1,3,5-Hexatriene, Tamas Keszthelyi, Robert Wilbrandt, Robert J. Cave, Jenifer L. Johnson

All HMC Faculty Publications and Research

The resonance Raman spectrum of the 1,3,5-hexatriene radical cation generated by v-irradiation in a Freon glass is reported. The spectrum is excited at 395 nm in resonance with the second absorption band. Identical spectra are obtained from ionized (E)- and (Z)-1,3,5-hexatriene. The presence of more than one rotamer has to be assumed to account for all the observed resonance Raman bands. The bands are assigned to a mixture of the two rotamers, calculated at lowest energy, the ttt an tct rotamers, on the basis of ab initio ROHF/6-31G calculated harmonic frequencies. The spectrum indicates that …

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Fault-Tolerant Circuit-Switching Networks, Nicholas Pippenger, Geng Lin Jan 1994

Fault-Tolerant Circuit-Switching Networks, Nicholas Pippenger, Geng Lin

All HMC Faculty Publications and Research

The authors consider fault-tolerant circuit-switching networks under a random switch failure model. Three circuit-switching networks of theoretical importance—nonblocking networks, rearrangeable networks, and superconcentrators—are studied. The authors prove lower bounds for the size (the number of switches) and depth (the largest number of switches on a communication path) of such fault-tolerant networks and explicitly construct such networks with optimal size Θ( n (log n)2 ) and depth Θ( log n ).

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