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Articles 2551 - 2580 of 2865

Full-Text Articles in Physical Sciences and Mathematics

Advection Of A Passive Scalar By A Vortex Couple In The Small-Diffusion Limit, Joseph F. Lingevitch, Andrew J. Bernoff Jan 1994

Advection Of A Passive Scalar By A Vortex Couple In The Small-Diffusion Limit, Joseph F. Lingevitch, Andrew J. Bernoff

All HMC Faculty Publications and Research

We study the advection of a passive scalar by a vortex couple in the small-diffusion (i.e. large Péclet number, Pe) limit. The presence of weak diffusion enhances mixing within the couple and allows the gradual escape of the scalar from the couple into the surrounding flow. An averaging technique is applied to obtain an averaged diffusion equation for the concentration inside the dipole which agrees with earlier results of Rhines & Young for large times. At the outer edge of the dipole, a diffusive boundary layer of width O(Pe−½) forms; asymptotic matching to the interior …


Optical Properties Of Human Uterus At 630 Nm, Steen J. Madsen, Bruce J. Tromberg, Yona Tadir, Pius Wyss, Lars O. Svaasand, Richard C. Haskell Jan 1994

Optical Properties Of Human Uterus At 630 Nm, Steen J. Madsen, Bruce J. Tromberg, Yona Tadir, Pius Wyss, Lars O. Svaasand, Richard C. Haskell

All HMC Faculty Publications and Research

The optical properties of normal and fibriotic human uteri were determined using frequency-domain and steady-state techniques .


Predicting The Past, Recounting The Future: Human Ecology And A Prehistory Of Consciousness, Paul Faulstich Jan 1994

Predicting The Past, Recounting The Future: Human Ecology And A Prehistory Of Consciousness, Paul Faulstich

Pitzer Faculty Publications and Research

This paper is concerned with the organic derivation and primary meaning of Pleistocene finger flutings; I propose that in order to gain insight into the significance of the flutings, we must attempt an understanding of the physical and mental contexts in which they emerged. I suggest that finger flutings provided a cultural record in the Pleistocene which documented thought and action, and made it ready for reflection. Through the process of finger fluting, the human 'self' was objected and reality was modified in the experience of self-consciuosness. I argue that finger flutings, like language, were employed to discover and convey …


Frequency-Domain Photon Migration In Turbid Media, Bruce J. Tromberg, Steen J. Madsen, Curtis Chapman, Lars O. Svaasand, Richard C. Haskell Jan 1994

Frequency-Domain Photon Migration In Turbid Media, Bruce J. Tromberg, Steen J. Madsen, Curtis Chapman, Lars O. Svaasand, Richard C. Haskell

All HMC Faculty Publications and Research

An analytical model is presented for the propagation of diffuse photon density waves in turbid media. The frequency- and wavelength-dependence of photon density waves are measured using Frequency-domain Photon Migration (FDPM). Media optical properties, including absorption, transport, and fluorescence relaxation times are calculated from experimental results.


Finite Amplitude Convection Between Stress-Free Boundaries; Ginzburg-Landau Equations And Modulation Theory, Andrew J. Bernoff Jan 1994

Finite Amplitude Convection Between Stress-Free Boundaries; Ginzburg-Landau Equations And Modulation Theory, Andrew J. Bernoff

All HMC Faculty Publications and Research

The stability theory for rolls in stress-free convection at finite Prandtl number is affected by coupling with low wavenumber two-dimensional mean-flow modes. In this work, a set of modified Ginzburg-Landau equations describing the onset of convection is derived which accounts for these additional modes. These equations can be used to extend the modulation equations of Zippelius & Siggia describing the breakup of rolls, bringing their stability theory into agreement with the results of Busse & Bolton.


A Theoretical Investigation Of The Stability Of Hpc, Hannah S. Hong, Robert J. Cave Jan 1994

A Theoretical Investigation Of The Stability Of Hpc, Hannah S. Hong, Robert J. Cave

All HMC Faculty Publications and Research

Several ab initio methods are applied to the study of two linear isomers of methylidyne phosphine, HCP, and HPC. Single-reference correlation methods ranging from second-order Møller-Plesset theory to coupled cluster singles and doubles theory with noninterative inclusion of connected triple excitations were applied in a variety of basis sets of increasing size. In addition, complete active space self-consistent field wave functions, multireference singles and doubles configuration interaction, and averaged coupled pair functional theory were also applied to HPC. For HPC comparison of the single-reference based results is made with experimental data and previous theory to assess the accuracy …


A Theoretical Investigation Of The Geometries, Vibrational Frequencies, And Binding Energies Of Several Mixed Alkali Halide Dimers, Robert J. Cave, Ian Ono '94 Dec 1993

A Theoretical Investigation Of The Geometries, Vibrational Frequencies, And Binding Energies Of Several Mixed Alkali Halide Dimers, Robert J. Cave, Ian Ono '94

All HMC Faculty Publications and Research

Results are presented from ab initio calculations on several mixed alkali halide dimers made up of Li, Na, F, and Cl. All of the dimers are investigated at the restricted Hartree–Fock level to provide ab initio estimates of geometries, vibrational frequencies, and binding energies. The dimer LiNaF2 is then treated using a variety of basis sets at the Hartree–Fock level, as well as at correlated levels (second‐order Møller–Plesset and coupled‐cluster singles and doubles) to examine the sensitivity of the calculations to use of higher levels of theory. The results are then compared to the experimental data available for the LiNaF2 …


Short Terahertz Pulses From Semiconductor Surfaces: The Importance Of Bulk Difference‐Frequency Mixing, Peter N. Saeta, Benjamin I. Greene, Shun Lien Chuang Dec 1993

Short Terahertz Pulses From Semiconductor Surfaces: The Importance Of Bulk Difference‐Frequency Mixing, Peter N. Saeta, Benjamin I. Greene, Shun Lien Chuang

All HMC Faculty Publications and Research

The crystallographic orientation dependence of the far‐infrared (FIR) light generated at the (001) surface of a zincblende semiconductor is shown to derive principally from bulk difference‐frequency mixing. A strong modulation is observed for 1‐GW/cm2 pulses on InP, which demonstrates that the radiated FIR wave produced by bulk optical rectification is comparable to that generated by the transport of photoinjected carriers. Using the bulk rectification light as a clock, we show that more than 95% of the light produced from an InP (111) crystal by 100‐fs, 100‐μJ pulses is generated in a time shorter than the excitation pulse.


Body Size In Amblyrhiza Inundata (Rodentia, Caviomorpha), An Extinct Megafaunal Rodent From The Anguilla Bank, West Indies: Estimates And Implications, Audrone R. Biknevicius, Donald A. Mcfarlane, Ross D. E. Macphee Nov 1993

Body Size In Amblyrhiza Inundata (Rodentia, Caviomorpha), An Extinct Megafaunal Rodent From The Anguilla Bank, West Indies: Estimates And Implications, Audrone R. Biknevicius, Donald A. Mcfarlane, Ross D. E. Macphee

WM Keck Science Faculty Papers

Rodent species typically evolve larger mean body sizes when isolated on islands, but the extinct caviomorph Amblyrhiza inundata, known only from Quaternary cave deposits on the islands of Anguilla and St. Martin (northern Lesser Antilles), provides an unusually dramatic example of insular gigantism. Here we report on a series of body mass estimates for Amblyrhiza using predictive equations based on anteroposterior diameters and cortical cross-sectional areas of humeral and femoral diaphyses. Analyses of 14 isolated specimens (5 femoral, 9 humeral), all representing adult or near adult animals, yield body mass estimates ranging from slightly less than 50 kg to more …


The Lazer Mckenna Conjecture For Radial Solutions In The Rn Ball, Alfonso Castro, Sudhasree Gadam Oct 1993

The Lazer Mckenna Conjecture For Radial Solutions In The Rn Ball, Alfonso Castro, Sudhasree Gadam

All HMC Faculty Publications and Research

When the range of the derivative of the nonlinearity contains the first k eigenvalues of the linear part and a certain parameter is large, we establish the existence of 2k radial solutions to a semilinear boundary value problem. This proves the Lazer McKenna conjecture for radial solutions. Our results supplement those in [5], where the existence of k + 1 solutions was proven.


Calculus Workshop Groups As A Humanistic Experience, Martin Vern Bonsangue Jul 1993

Calculus Workshop Groups As A Humanistic Experience, Martin Vern Bonsangue

Humanistic Mathematics Network Journal

No abstract provided.


Like Poetry, Mathematics Is Beautiful, Joanne Growney Jul 1993

Like Poetry, Mathematics Is Beautiful, Joanne Growney

Humanistic Mathematics Network Journal

No abstract provided.


Writing Style - An Editorial Comment, Harald M. Ness Jul 1993

Writing Style - An Editorial Comment, Harald M. Ness

Humanistic Mathematics Network Journal

No abstract provided.


Letter About Philosophia Mathematica, Robert Thomas Jul 1993

Letter About Philosophia Mathematica, Robert Thomas

Humanistic Mathematics Network Journal

No abstract provided.


The Role Of Faith In Mathematics, Dick Wood Jul 1993

The Role Of Faith In Mathematics, Dick Wood

Humanistic Mathematics Network Journal

No abstract provided.


Math Nonsence Verse, Helen Lewy Jul 1993

Math Nonsence Verse, Helen Lewy

Humanistic Mathematics Network Journal

No abstract provided.


On Attracting Mathematics Majors, Kazem Mahdavi Jul 1993

On Attracting Mathematics Majors, Kazem Mahdavi

Humanistic Mathematics Network Journal

No abstract provided.


The Basis For The Success Of The Potsdam Program, Rick Luttmann Jul 1993

The Basis For The Success Of The Potsdam Program, Rick Luttmann

Humanistic Mathematics Network Journal

No abstract provided.


Mathematics And The Arts — A Bibliography, Joanne S. Growney Jul 1993

Mathematics And The Arts — A Bibliography, Joanne S. Growney

Humanistic Mathematics Network Journal

No abstract provided.


Liberal Education In The Liberal Sense, Annalisa Crannell Jul 1993

Liberal Education In The Liberal Sense, Annalisa Crannell

Humanistic Mathematics Network Journal

No abstract provided.


Poems, Lee Goldstein Jul 1993

Poems, Lee Goldstein

Humanistic Mathematics Network Journal

No abstract provided.


On Learning In The Mathematical Sciences: Statistics 200 As A Paradigm Of Everything Wrong In Mathematical Education, James M. Cargal Jul 1993

On Learning In The Mathematical Sciences: Statistics 200 As A Paradigm Of Everything Wrong In Mathematical Education, James M. Cargal

Humanistic Mathematics Network Journal

No abstract provided.


In Fin Ity, Bonnie Shulman Jul 1993

In Fin Ity, Bonnie Shulman

Humanistic Mathematics Network Journal

No abstract provided.


A Fairy Tale: Being A Pseudo-History Of Mathematics With Special Attention Given To The Evolution Of The Number System, Peter Flusser Jul 1993

A Fairy Tale: Being A Pseudo-History Of Mathematics With Special Attention Given To The Evolution Of The Number System, Peter Flusser

Humanistic Mathematics Network Journal

No abstract provided.


Are There Revolutions In Mathematics, Paul Ernest Jul 1993

Are There Revolutions In Mathematics, Paul Ernest

Humanistic Mathematics Network Journal

No abstract provided.


Toward A Philosophy Of Humanistic Mathematics, Bill Rosenthal Jul 1993

Toward A Philosophy Of Humanistic Mathematics, Bill Rosenthal

Humanistic Mathematics Network Journal

No abstract provided.


Canadian Society For History And Philosophy Mathematics Speaker List Jul 1993

Canadian Society For History And Philosophy Mathematics Speaker List

Humanistic Mathematics Network Journal

No abstract provided.


Developing A Mathematical Mode Of Thinking In An Undergraduate Program, Ida Doraiswamy Jul 1993

Developing A Mathematical Mode Of Thinking In An Undergraduate Program, Ida Doraiswamy

Humanistic Mathematics Network Journal

No abstract provided.


A Reading List For Undergraduate Mathematics Majors: A Personal View, Paul Froeschl Jul 1993

A Reading List For Undergraduate Mathematics Majors: A Personal View, Paul Froeschl

Humanistic Mathematics Network Journal

No abstract provided.


A Humanistic Academic Environment For Learning Undergraduate Mathematics, Clarence F. Stephens Jul 1993

A Humanistic Academic Environment For Learning Undergraduate Mathematics, Clarence F. Stephens

Humanistic Mathematics Network Journal

No abstract provided.