Open Access. Powered by Scholars. Published by Universities.®
Physical Sciences and Mathematics Commons™
Open Access. Powered by Scholars. Published by Universities.®
- Discipline
-
- Mathematics (1815)
- Arts and Humanities (831)
- Education (436)
- Science and Mathematics Education (311)
- Social and Behavioral Sciences (240)
-
- Applied Mathematics (226)
- Physics (215)
- Environmental Sciences (205)
- Computer Sciences (187)
- Life Sciences (135)
- Creative Writing (130)
- Discrete Mathematics and Combinatorics (118)
- Statistics and Probability (108)
- Poetry (104)
- Algebra (95)
- Higher Education (93)
- Philosophy (90)
- History (89)
- Other Mathematics (84)
- Curriculum and Instruction (79)
- Scholarship of Teaching and Learning (70)
- Sustainability (67)
- Chemistry (66)
- Engineering (64)
- Geometry and Topology (62)
- Teacher Education and Professional Development (62)
- Earth Sciences (60)
- Medicine and Health Sciences (59)
- Logic and Foundations of Mathematics (58)
- Keyword
-
- Mathematics (102)
- Poetry (43)
- Combinatorics (38)
- Physics (33)
- Education (31)
-
- Mathematics education (25)
- Statistics (25)
- Art (24)
- STEAM (23)
- Sustainability (23)
- STEM (21)
- Teaching (20)
- Caves (18)
- Algebra (17)
- Math (17)
- Geometry (16)
- Heights (16)
- Pedagogy (16)
- Creativity (15)
- Differential equations (15)
- Motherhood (15)
- Probability (15)
- Dirichlet problem (14)
- Machine Learning (14)
- Mathematical modeling (14)
- Algebra rings (13)
- Complex symmetric operator (13)
- Environment (13)
- Ethics (13)
- Fibonacci numbers (13)
- Publication Year
- Publication
-
- Journal of Humanistic Mathematics (612)
- All HMC Faculty Publications and Research (564)
- Humanistic Mathematics Network Journal (415)
- Pomona Faculty Publications and Research (192)
- HMC Senior Theses (138)
-
- CMC Senior Theses (113)
- CMC Faculty Publications and Research (95)
- Pomona Senior Theses (79)
- Scripps Senior Theses (76)
- The STEAM Journal (58)
- CODEE Journal (56)
- CGU Theses & Dissertations (50)
- CGU Faculty Publications and Research (48)
- WM Keck Science Faculty Papers (46)
- EnviroLab Asia (27)
- Pitzer Faculty Publications and Research (27)
- Pitzer Senior Theses (22)
- Claremont-UC Undergraduate Research Conference on the European Union (5)
- Pomona Economics (5)
- Environmental Analysis Program Mellon Student Summer Research Reports (3)
- KGI Theses and Dissertations (2)
- All Faculty Publications (1)
- Eastern Sierra History Journal (1)
- Environmental Analysis Program Senior Projects (1)
- Interface Compendium of Student Work (1)
- KGI Faculty Publications and Research (1)
- Library Staff Publications and Research (1)
- Scripps Faculty Publications and Research (1)
- Publication Type
- File Type
Articles 2281 - 2310 of 2640
Full-Text Articles in Physical Sciences and Mathematics
Bones Of Puffinus Lherminieri Lesson (Aves: Procellaridae) And Two Other Vertebrates From Cueva Del Agua, Mona Isalnd, Puerto Rico (West Indies), Angel M. Nieves-Rivera, John M. Mylroie, Donald A. Mcfarlane
Bones Of Puffinus Lherminieri Lesson (Aves: Procellaridae) And Two Other Vertebrates From Cueva Del Agua, Mona Isalnd, Puerto Rico (West Indies), Angel M. Nieves-Rivera, John M. Mylroie, Donald A. Mcfarlane
WM Keck Science Faculty Papers
From a dive in Cueva del Agua, Mona Island, Puerto Rico, twelve un-mineralized bones of Puffinus Lherminieri Lesson, one of Cyclura stejnegeri Stejneger, and one of Moormops blainvilii Leach were collected. The subfossil evidence confirms that P. Lherminieri was a common species on Mona Island. Cyclura stejnegeri and M. blainvilii probably became trapped and died in the pool chamber.
Approximation Algorithms: Good Solutions To Hard Problems, Ran Libeskind-Hadas
Approximation Algorithms: Good Solutions To Hard Problems, Ran Libeskind-Hadas
All HMC Faculty Publications and Research
Consider a computer network represented by an undirected graph where the vertices represent computer nodes and the edges represent links between the nodes. Since some of the links in the network may become faulty, link testing devices are placed at some of the nodes. A tester at a particular node can test all links incident to that node. Since the testers are expensive, however, we wish to deploy the minimum number of these devices such that every link is incidient to at least one node containing a tester. In graph theoretic terms, a vertex cover is a subset of the …
Optical Measurements Of The Core Radius Of High-Δ Fibers With 1-Nm Resolution, Peter N. Saeta
Optical Measurements Of The Core Radius Of High-Δ Fibers With 1-Nm Resolution, Peter N. Saeta
All HMC Faculty Publications and Research
An optical technique for measuring the core radius of high-Δ optical fibers is described. Variations in the core radius of step-index fibers can be measured down to a scale of 1 nm.
Analysis Of A Recurrence Arising From A Construction For Nonblocking Networks, Nicholas Pippenger
Analysis Of A Recurrence Arising From A Construction For Nonblocking Networks, Nicholas Pippenger
All HMC Faculty Publications and Research
Define f on the integers n > 1 by the recurrence f(n) = min( n, minm|n( 2f(m) + 3f(n/m) ). The function f has f(n) = n as its upper envelope, attained for all prime n.
The goal of this paper is to determine the corresponding lower envelope. It is shown that this has the form f(n) ~ C(log n)1 + 1/γ for certain constants γ and C, in the sense that for any ε > 0, the inequality f(n) ≤ (C + ε)(log n)1 + 1/γ holds for infinitely many n, while f(n) ≤ (C + ε)(log …
Optimal Klappenspiel, Arthur T. Benjamin, Derek Stanford '93
Optimal Klappenspiel, Arthur T. Benjamin, Derek Stanford '93
All HMC Faculty Publications and Research
The game Klappenspiel ("flipping game") is a traditional German game of flipping tiles according to dice rolls. In this paper, we derive the optimal strategy for this game by using dynamic programming. We show that the probability of winning using the optimal strategy is 0.30%.
Analysis Of A Recurrence Arising From A Construction For Non-Blocking Networks, Nicholas Pippenger
Analysis Of A Recurrence Arising From A Construction For Non-Blocking Networks, Nicholas Pippenger
All HMC Faculty Publications and Research
Define f on the integers $n > 1$ by the recurrence $f( n ) = \min \{ n,\min _{m|n} 2f( m ) + 3f( n/m ) \}$. The function f has $f( n ) = n$ as its upper envelope, attained for all prime n. The goal of this paper is to determine the corresponding lower envelope. It is shown that this has the form $f( n ) \sim C( \log n )^{1 + 1/\gamma } $ for certain constants $\gamma $ and C, in the sense that for any $\varepsilon > 0$, the inequality $f( n ) \leq ( …
Femtosecond Laser-Produced Plasma X-Rays From Periodically Modulated Surface Targets, J. C. Gautheir, S. Bastiani, P. Audebert, J. P. Geindre, K. Neuman, Thomas D. Donnelly, M. Hoffer, R. W. Falcone, R. Shepherd, D. Price, B. White
Femtosecond Laser-Produced Plasma X-Rays From Periodically Modulated Surface Targets, J. C. Gautheir, S. Bastiani, P. Audebert, J. P. Geindre, K. Neuman, Thomas D. Donnelly, M. Hoffer, R. W. Falcone, R. Shepherd, D. Price, B. White
All HMC Faculty Publications and Research
We have studied theoretically and experimentally the x-ray production above 1 keV from femtosecond laser plasmas generated on periodically modulated surface targets. Laser energy coupling to plasma surface waves has been modeled using a numerical differential method. Almost total absorption of incident laser radiation is predicted for optimized interaction conditions. Silicon gratings have been irradiated by a 120fs Ti:sapphire laser at irradiances in excess of 1016 W/cm2. X-ray intensities above 1.5 keV (K-shell lines) have been measured as a function of the incidence angle. Results show a distinct x-ray emission maximum for the first order diffraction …
Theoretical Study Of Solvent Effects On The Electronic Coupling Element In Rigidly Linked Donor-Acceptor Systems, Robert J. Cave, Marshall D. Newton, Krishna Kumar, Matthew B. Zimmt
Theoretical Study Of Solvent Effects On The Electronic Coupling Element In Rigidly Linked Donor-Acceptor Systems, Robert J. Cave, Marshall D. Newton, Krishna Kumar, Matthew B. Zimmt
All HMC Faculty Publications and Research
The recently developed generalized Mulliken-Hush approach for the calculation of the electronic coupling matrix element for electron-transfer processes is applied to two rigidly linked donor-bridge-acceptor systems having dimethoxyanthracene as the donor and a dicarbomethoxycyclobutene unit as the acceptor. The dependence of the electronic coupling matrix element as a function of bridge type is examined with and without solvent molecules present. For clamp-shaped bridge structures solvent can have a dramatic effect on the electronic coupling matrix element. The behavior with variation of solvent is in good agreement with that observed experimentally for these systems.
Portable, High-Bandwidth Frequency-Domain Photon Migration Instrument For Tissue Spectroscopy, Steen J. Madsen, Eric R. Anderson, Richard C. Haskell, Bruce J. Tromberg
Portable, High-Bandwidth Frequency-Domain Photon Migration Instrument For Tissue Spectroscopy, Steen J. Madsen, Eric R. Anderson, Richard C. Haskell, Bruce J. Tromberg
All HMC Faculty Publications and Research
We describe a novel frequency-domain photon migration instrument employing direct diode laser modulation and avalanche photodiode detection, which is capable of noninvasively determinating the optical properties of biological tissues in near real time. An infinite medium diffusion model was used to extract absorption and transport scattering coefficients from 300-kHz to 800-MHz photon-density wave phase data. Optical properties measured in tissue-simulating solutions at 670 nm agreed to within 10% of those expected.
Multiple Solutions For A Nonlinear Dirichlet Problem, Alfonso Castro, Jorge Cossio
Multiple Solutions For A Nonlinear Dirichlet Problem, Alfonso Castro, Jorge Cossio
All HMC Faculty Publications and Research
The authors prove that a semilinear elliptic boundary value problem has five solutions when the range of the derivative of the nonlinearity includes at least the first two eigenvalues. Extensive use is made of Lyapunov-Schmidt reduction arguments, the mountain pass lemma, and characterizations of the local degree of critical points.
Rapid Relaxation Of An Axisymmetric Vortex, Andrew J. Bernoff, Joseph F. Lingevitch
Rapid Relaxation Of An Axisymmetric Vortex, Andrew J. Bernoff, Joseph F. Lingevitch
All HMC Faculty Publications and Research
In this paper it is argued that a two‐dimensional axisymmetric large Reynolds number (Re) monopole when perturbed will return to an axisymmetric state on a time scale (Re1/3) that is much faster than the viscous evolution time scale (Re). It is shown that an arbitrary perturbation can be broken into three pieces; first, an axisymmetric piece corresponding to a slight radial redistribution of vorticity; second, a translational piece which corresponds to a small displacement of the center of the original vortex; and finally, a nonaxisymmetric perturbation which decays on the Re1/3 time scale due to a shear/diffusion …
Multiple Solutions For A Semilinear Dirichlet Problem, Alfonso Castro, Jorge Cossio
Multiple Solutions For A Semilinear Dirichlet Problem, Alfonso Castro, Jorge Cossio
All HMC Faculty Publications and Research
The authors prove that a semilinear elliptic boundary value problem has five solutions when the range of the derivative of the nonlinearity includes at least the first two eigenvalues. Extensive use is made of Lyapunov–Schmidt reduction arguments, the mountain pass lemma, and characterizations of the local degree of critical points.
Low-Frequency Line Shapes In Guided Acoustic-Wave Brillouin Scattering, Benjamin I. Greene, Peter N. Saeta
Low-Frequency Line Shapes In Guided Acoustic-Wave Brillouin Scattering, Benjamin I. Greene, Peter N. Saeta
All HMC Faculty Publications and Research
Guided acoustic‐wave Brillouin scattering (GAWBS) measurements were performed on 20‐cm lengths of optical fibers with particular attention focused on the lowest lying resonance. In 125‐μm‐diam silica fibers, this resonance was observed to occur at ~22 MHz and have a line shape which varied erratically from sample to sample. Significant line shape fluctuations were evident even between sequential samples from the same fiber spool. We speculate that the observed effects are attributable to 0.01-0.1 μm distributed geometric deviations from a perfect cylinder.
Boundary Conditions For The Diffusion Equation In Radiative Transfer, Richard C. Haskell, Lars O. Svaasand, Tsong-Tseh Tsay, Ti-Chen Feng, Matthew S. Mcadams, Bruce J. Tromberg
Boundary Conditions For The Diffusion Equation In Radiative Transfer, Richard C. Haskell, Lars O. Svaasand, Tsong-Tseh Tsay, Ti-Chen Feng, Matthew S. Mcadams, Bruce J. Tromberg
All HMC Faculty Publications and Research
Using the method of images, we examine the three boundary conditions commonly applied to the surface of a semi-infinite turbid medium. We find that the image-charge configurations of the partial-current and extrapolated-boundary conditions have the same dipole and quadrupole moments and that the two corresponding solutions to the diffusion equation are approximately equal. In the application of diffusion theory to frequency-domain photon-migration (FDPM) data, these two approaches yield values for the scattering and absorption coefficients that are equal to within 3%. Moreover, the two boundary conditions can be combined to yield a remarkably simple, accurate, and computationally fast method for …
Lattice-Ordered Algebras That Are Subdirect Products Of Valuation Domains, Melvin Henriksen, Suzanne Larson, Jorge Martinez, R. G. Woods
Lattice-Ordered Algebras That Are Subdirect Products Of Valuation Domains, Melvin Henriksen, Suzanne Larson, Jorge Martinez, R. G. Woods
All HMC Faculty Publications and Research
An f-ring (i.e., a lattice-ordered ring that is a subdirect product of totally ordered rings) A is called an SV-ring if A/P is a valuation domain for every prime ideal P of A. If M is a maximal ℓ-ideal of A , then the rank of A at M is the number of minimal prime ideals of A contained in M, rank of A is the sup of the ranks of A at each of its maximal ℓ-ideals. If the latter is a positive integer, then A is said to have finite rank, and if A …
Letter From The Editor, Issue 10, 1994, Alvin White
Letter From The Editor, Issue 10, 1994, Alvin White
Humanistic Mathematics Network Journal
No abstract provided.
Applied Mathematics Should Be Taught Mixed, Gary I. Brown
Applied Mathematics Should Be Taught Mixed, Gary I. Brown
Humanistic Mathematics Network Journal
No abstract provided.
Female Voices In Mathematics: A New Course, Shobha Gulati
Female Voices In Mathematics: A New Course, Shobha Gulati
Humanistic Mathematics Network Journal
No abstract provided.
Poetry, Helen Lewy
Mathematics In Literature And Poetry, Joanne S. Growney
Mathematics In Literature And Poetry, Joanne S. Growney
Humanistic Mathematics Network Journal
No abstract provided.
Math: It's Not Just A Four Letter Word, Susan Byerly
Math: It's Not Just A Four Letter Word, Susan Byerly
Humanistic Mathematics Network Journal
No abstract provided.
Nctm Standards, Second Edition: A Review And Commentary On Zalman Usiskin's Address, Harald M. Ness
Nctm Standards, Second Edition: A Review And Commentary On Zalman Usiskin's Address, Harald M. Ness
Humanistic Mathematics Network Journal
No abstract provided.
What Changes Should Be Made For The Second Edition Of The Nctm Standards?, Zalman Usiskin
What Changes Should Be Made For The Second Edition Of The Nctm Standards?, Zalman Usiskin
Humanistic Mathematics Network Journal
No abstract provided.
Epsilon And Delta: A Little Love Story, Bonnie Shulman
Epsilon And Delta: A Little Love Story, Bonnie Shulman
Humanistic Mathematics Network Journal
No abstract provided.
Humacrostic, Stephen I. Brown
Humacrostic, Stephen I. Brown
Humanistic Mathematics Network Journal
No abstract provided.
Subpicosecond Thomson Scattering Measurements Of Optically Ionized Helium Plasmas, T. E. Glover, Thomas D. Donnelly, E. A. Lipman, A. Sullivan, R. W. Falcone
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.
Radially Symmetric Solutions To A Dirichlet Problem Involving Critical Exponents, Alfonso Castro, Alexandra Kurepa
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.
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
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 …
X-Rays From Microstructured Targets Heated By Femtosecond Lasers, S. P. Gordon, Thomas D. Donnelly, A. Sullivan, H. Hamster, R. W. Falcone
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.
Letter From The Editor, Issue 9, 1994, Alvin White
Letter From The Editor, Issue 9, 1994, Alvin White
Humanistic Mathematics Network Journal
No abstract provided.