Open Access. Powered by Scholars. Published by Universities.®
Physical Sciences and Mathematics Commons™
Open Access. Powered by Scholars. Published by Universities.®
- Discipline
-
- Mathematics (12)
- Physics (5)
- Elementary Particles and Fields and String Theory (3)
- Environmental Sciences (3)
- Other Mathematics (3)
-
- Applied Mathematics (2)
- Architecture (2)
- Discrete Mathematics and Combinatorics (2)
- Environmental Health and Protection (2)
- Environmental Studies (2)
- Social and Behavioral Sciences (2)
- Urban, Community and Regional Planning (2)
- Applied Statistics (1)
- Arts and Humanities (1)
- Biology (1)
- Business (1)
- Chemistry (1)
- Computer Sciences (1)
- Databases and Information Systems (1)
- Earth Sciences (1)
- Engineering (1)
- Geography (1)
- Geometry and Topology (1)
- Harmonic Analysis and Representation (1)
- History (1)
- Life Sciences (1)
- Management Information Systems (1)
- Medicine and Health Sciences (1)
- Nature and Society Relations (1)
- Keyword
-
- Game theory (3)
- M theory (3)
- Maldacena conjecture (3)
- Black holes (2)
- Claremont Colleges (2)
-
- Games (2)
- Mathematics (2)
- Strategy (2)
- Added masses (1)
- Almost periodic matrix functions (1)
- Animals (1)
- Annihilator (1)
- Arizona (1)
- Black brane phase (1)
- Black p-branes (1)
- Blackjack (1)
- Cake cutting (1)
- Caves (1)
- Chore splitting (1)
- Circulant matrices (1)
- Claremont (1)
- Combinatorial identities (1)
- Combinatorics (1)
- Commutative ring (1)
- Connected ring (1)
- Counting Cards (1)
- Critical exponent (1)
- Deep Semantic Parsing (1)
- Dirichlet problem (1)
- Distributive lattice (1)
Articles 1 - 23 of 23
Full-Text Articles in Physical Sciences and Mathematics
Late Quaternary Fossil Mammals And Last Occurrence Dates From Caves At Barahona, Puerto Rico, Donald A. Mcfarlane
Late Quaternary Fossil Mammals And Last Occurrence Dates From Caves At Barahona, Puerto Rico, Donald A. Mcfarlane
WM Keck Science Faculty Papers
Puerto Rico supported at least five genera of endemic terrestrial mammals in the late Quaternary, all of which are extinct. Whether these animals died out in the late Pleistocene, the mid-Holocene, or in post-Columbian time has not been established. This paper is the first attempt at radiometrically dating the 'last occurrences' of these taxa, together with the first unambiguous descriptions of localities reported by previous workers. Last occurrence dates for Nesophontes, Elasmodontomys and Heteropsomys are shown to be mid-Holocene and overlap with Amerindian occupation of the island. Acratocnus is known only from the late Pleistocene. No Puerto Rican taxon has …
Rental Harmony: Sperner's Lemma In Fair Division, Francis E. Su
Rental Harmony: Sperner's Lemma In Fair Division, Francis E. Su
All HMC Faculty Publications and Research
No abstract provided in this article.
Recounting Fibonacci And Lucas Identities, Arthur T. Benjamin, Jennifer J. Quinn
Recounting Fibonacci And Lucas Identities, Arthur T. Benjamin, Jennifer J. Quinn
All HMC Faculty Publications and Research
No abstract provided in this article.
Stability Of Self-Similar Solutions For Van Der Waals Driven Thin Film Rupture, Thomas P. Witelski, Andrew J. Bernoff
Stability Of Self-Similar Solutions For Van Der Waals Driven Thin Film Rupture, Thomas P. Witelski, Andrew J. Bernoff
All HMC Faculty Publications and Research
Recent studies of pinch-off of filaments and rupture in thin films have found infinite sets of first-type similarity solutions. Of these, the dynamically stable similarity solutions produce observable rupture behavior as localized, finite-time singularities in the models of the flow. In this letter we describe a systematic technique for calculating such solutions and determining their linear stability. For the problem of axisymmetric van der Waals driven rupture (recently studied by Zhang and Lister), we identify the unique stable similarity solution for point rupture of a thin film and an alternative mode of singularity formation corresponding to annular “ring rupture.”
Almost Periodic Factorization Of Certain Block Triangular Matrix Functions, Ilya M. Spitkovsky, Darryl H. Yong
Almost Periodic Factorization Of Certain Block Triangular Matrix Functions, Ilya M. Spitkovsky, Darryl H. Yong
All HMC Faculty Publications and Research
Let
where , and . For rational such matrices are periodic, and their Wiener-Hopf factorization with respect to the real line always exists and can be constructed explicitly. For irrational , a certain modification (called an almost periodic factorization) can be considered instead. The case of invertible and commuting , was disposed of earlier-it was discovered that an almost periodic factorization of such matrices does not always exist, and a necessary and sufficient condition for its existence was found. This paper is devoted mostly to the situation when is not invertible but the commute pairwise (). The complete description is …
Black Holes And Five-Brane Thermodynamics, Emil Martinec, Vatche Sahakian
Black Holes And Five-Brane Thermodynamics, Emil Martinec, Vatche Sahakian
All HMC Faculty Publications and Research
The phase diagram for Dp-branes in M theory compactified on T4,T4/Z2,T5, and T6 is constructed. As for the lower-dimensional tori considered in our previous work [E. Martinec and V. Sahakian, Phys. Rev. D 59, 124005 (1999)], the black brane phase at high entropy connects onto matrix theory at low entropy; we thus recover all known instances of matrix theory as consequences of the Maldacena conjecture. The difficulties that arise for T6 are reviewed. We also analyze the D1-D5 system on T5; we discuss its relation to matrix models …
Why The Player Never Wins In The Long Run At La Blackjack, Arthur T. Benjamin, Michael Lauzon '00, Christopher Moore '00
Why The Player Never Wins In The Long Run At La Blackjack, Arthur T. Benjamin, Michael Lauzon '00, Christopher Moore '00
All HMC Faculty Publications and Research
No abstract provided in this article.
Probing Nonequilibrium Electron Distributions In Gold By Use Of Second Harmonic Generation, K. L. Moore '99, Thomas D. Donnelly
Probing Nonequilibrium Electron Distributions In Gold By Use Of Second Harmonic Generation, K. L. Moore '99, Thomas D. Donnelly
All HMC Faculty Publications and Research
Second-harmonic radiation is generated at a gold surface by use of a laser pulse that is varied in duration from 14 to 29 fs and in intensity from 109 to 1011W/cm2 . At laser intensities below 1010W/cm2 , the second-harmonic signal has the expected quadratic dependence on pump-laser intensity; however, at higher intensities, the dependence is supraquadratic. This difference arises because the leading edge of the laser pulse interacts significantly with the gold electrons to create a nonequilibrium, photoexcited distribution. The second-harmonic generation process occurs before electron–electron or electron–phonon collisions can equilibrate the …
Black Holes And The Sym Diagram. Ii, Emil Martinec, Vatche Sahakian
Black Holes And The Sym Diagram. Ii, Emil Martinec, Vatche Sahakian
All HMC Faculty Publications and Research
The complete phase diagram of objects in M theory compactified on tori Tp,p=1,2,3, is elaborated. Phase transitions occur when the object localizes on cycle(s) (the Gregory-Laflamme transition), or when the area of the localized part of the horizon becomes one in string units (the Horowitz-Polchinski correspondence point). The low-energy, near-horizon geometry that governs a given phase can match onto a variety of asymptotic regimes. The analysis makes it clear that the matrix conjecture is a special case of the Maldacena conjecture.
Unevening The Odds Of "Even Up", Arthur T. Benjamin, Jennifer J. Quinn
Unevening The Odds Of "Even Up", Arthur T. Benjamin, Jennifer J. Quinn
All HMC Faculty Publications and Research
No abstract provided in this article.
The Best Way To Knock 'M Down, Arthur T. Benjamin, Matthew T. Fluet '99
The Best Way To Knock 'M Down, Arthur T. Benjamin, Matthew T. Fluet '99
All HMC Faculty Publications and Research
"Knock 'm Down" is a game of dice that is so easy to learn that it is being played in classrooms around the world. Although this game has been effective at developing students' intuition about probability [Fendel et al. 1997; Hunt 1998], we will show that lurking underneath this deceptively simple game are many surprising and highly unintuitive results.
Field Station Under Threat, Paul Faulstich
Field Station Under Threat, Paul Faulstich
Pitzer Faculty Publications and Research
As reported in the last issue of The Other Side, The Bernard Biological Field Station of the Colleges is slated to be the site of the Keck Graduate Institute, the newest (but yet unbuilt) addition to the Claremont Consortium. With Pitzer casting the sole dissenting vote, the Claremont Colleges approved construction of the Keck Institute on eleven acres of the 85 acre Field Station.
Land Development And Biotechnology At The Claremont Colleges, Paul Faulstich
Land Development And Biotechnology At The Claremont Colleges, Paul Faulstich
Pitzer Faculty Publications and Research
Founded on the Oxford model of a cluster of institutions, the Claremont Colleges has periodically established a new school. In the Spring of 1997, the Board of Fellows of the Claremont University Center charged with policy-making for the consortium-voted to establish a seventh college; the Keck Graduate Institute of applied life sciences. or bioengineering. Despite other landholdings, including a golf course and a non-operational gravel quarry, the Board of Fellows voted to site the New Venture on a portion-approximately eleven acres--of the Bernard Biological Field Station. (Pitzer's vote was cast against building on the Field Station.)
Magic "Squares" Indeed, Arthur T. Benjamin, Kan Yasuda '97
Magic "Squares" Indeed, Arthur T. Benjamin, Kan Yasuda '97
All HMC Faculty Publications and Research
No abstract provided in this article.
Grazing Arizona: Public Land Management In The Southwest, Char Miller
Grazing Arizona: Public Land Management In The Southwest, Char Miller
Pomona Faculty Publications and Research
In February of 1999, the chief of the U.S. Forest Service, Michael Dombeck, placed a moratorium on road building on most roadless areas. In October, President Clinton put forth an initiative to prohibit road building on 40 million acres of roadless area. Such modifications in Forest Service land management decisions is not new as suggested by Char Miller in this look back at early grazing decisions by Pinchot. To be proactive and reactive at the same time in relation to changing social pressures and political realties may be the legacy of the agency.
Bounds On A Bug, Arthur T. Benjamin, Matthew T. Fluet '99
Bounds On A Bug, Arthur T. Benjamin, Matthew T. Fluet '99
All HMC Faculty Publications and Research
In the game of Cootie, players race to construct a "cootie bug" by rolling a die to collect component parts. Each cootie bug is composed of a body, a head, two eyes, one nose, two antennae, and six legs. Players must first acquire the body of the bug by rolling a 1. Next, they must roll a 2 to add the head to the body. Once the body and head are both in place, the remaining body parts can be obtained in any order by rolling two 3s for the eyes, one 4 for the nose, two 5s for the …
On The Number Of Radially Symmetric Solutions To Dirichlet Problems With Jumping Nonlinearities Of Superlinear Order, Alfonso Castro, Hendrik J. Kuiper
On The Number Of Radially Symmetric Solutions To Dirichlet Problems With Jumping Nonlinearities Of Superlinear Order, Alfonso Castro, Hendrik J. Kuiper
All HMC Faculty Publications and Research
This paper is concerned with the multiplicity of radially symmetric solutions u(x) to the Dirichlet problem
Δu+f(u)=h(x)+cφ(x)
on the unit ball Ω⊂RN with boundary condition u=0 on ∂Ω. Here φ(x) is a positive function and f(u) is a function that is superlinear (but of subcritical growth) for large positive u, while for large negative u we have that f'(u)<μ, where μ is the smallest positive eigenvalue for Δψ+μψ=0 in Ω with ψ=0 on ∂Ω. It is shown that, given any integer k≥0, the value c may be chosen so large that there are 2k+1 solutions with k or less interior nodes. Existence of positive solutions is excluded for large enough values of c.
Model Updating By Adding Known Masses And Stiffnesses, Philip D. Cha, Lisette G. De Pillis
Model Updating By Adding Known Masses And Stiffnesses, Philip D. Cha, Lisette G. De Pillis
All HMC Faculty Publications and Research
New approaches are developed to update the analytical mass and stiffness matrices of a system. By adding known masses to the structure of interest, measuring the modes of vibration of this mass-modified system, and finally using this set of new data in conjunction with the initial modal survey, the mass matrix of the structure can be corrected. A similar approach can also be used to update the stiffness matrix of the system by attaching known stiffnesses. Manipulating the mass and stiffness correction matrices into vector forms, the connectivity information can be enforced, thereby preserving the physical configuration of the system, …
An Inverse Function Theorem, Alfonso Castro, J. W. Neuberger
An Inverse Function Theorem, Alfonso Castro, J. W. Neuberger
All HMC Faculty Publications and Research
In this note we present a local surjectivity result which is applicable to differential equations for which full boundary conditions may not be known. Our method uses continuous steepest descent and Sobolev gradients.
Black Holes And The Sym Phase Diagram, Miao Li, Emil Martinec, Vatche Sahakian
Black Holes And The Sym Phase Diagram, Miao Li, Emil Martinec, Vatche Sahakian
All HMC Faculty Publications and Research
Making combined use of the matrix and Maldacena conjectures, the relation between various thermodynamic transitions in super Yang-Mills (SYM) theory and supergravity is clarified. The thermodynamic phase diagram of an object in DLCQ M theory in four and five non-compact space dimensions is constructed; matrix strings, matrix black holes, and black p-branes are among the various phases. Critical manifolds are characterized by the principles of correspondence and longitudinal localization, and a triple point is identified. The microscopic dynamics of the matrix string near two of the transitions is studied; we identify a signature of black hole formation from SYM physics.
A Theoretical Study Of The Electronic Coupling Element For Electron Transfer In Water, Newt E. Miller '99, Matthew C. Wander '97, Robert J. Cave
A Theoretical Study Of The Electronic Coupling Element For Electron Transfer In Water, Newt E. Miller '99, Matthew C. Wander '97, Robert J. Cave
All HMC Faculty Publications and Research
The electronic coupling element for electron transfer between a donor and acceptor in water is examined using simulations combining molecular dynamics and semiempirical quantum mechanics. In the first phase of the simulations a model donor and acceptor are solvated in water, using realistic potentials. Following equilbration, molecular dynamics simulations are performed with the donor, acceptor, and water at approximately 300 K, under periodic boundary conditions. In the second phase of the simulation, the electronic coupling element between the donor and acceptor is calculated for a number of time slices, in the presence of the intervening water molecules (those having a …
The Bordalo Order On A Commutative Ring, Melvin Henriksen, Frank A. Smith
The Bordalo Order On A Commutative Ring, Melvin Henriksen, Frank A. Smith
All HMC Faculty Publications and Research
If R is a commutative ring with identity and ≤ is defined by letting a ≤ b mean ab = a or a = b, then (R,≤) is a partially ordered ring. Necessary and sufficient conditions on R are given for (R,≤) to be a lattice, and conditions are given for it to be modular or distributive. The results are applied to the rings Zn of integers mod n for n ≥ 2. In particular, if R is reduced, then (R,≤) is a lattice iff R is a weak Baer ring, and (R,≤) is a distributive lattice iff R …
Customizable And Ontology-Enhanced Medical Information Retrieval Interfaces, Gondy Leroy, K.M. Tolle, Hsinchun Chen
Customizable And Ontology-Enhanced Medical Information Retrieval Interfaces, Gondy Leroy, K.M. Tolle, Hsinchun Chen
CGU Faculty Publications and Research
This paper describes the development and testing of the Medical Concept Mapper as an aid to providing synonyms and semantically related concepts to improve searching. All terms are related to the userquery and fit into the query context. The system is unique because its five components combine humancreated and computer-generated elements. The Arizona Noun Phraser extracts phrases from natural language user queries. WordNet and the UMLS Metathesaurus provide synonyms. The Arizona Concept Space generates conceptually related terms. Semantic relationships between queries and concepts are established using the UMLS Semantic Net. Two user studies conducted to evaluate the system are described.