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Articles 1981 - 2010 of 2640

Full-Text Articles in Physical Sciences and Mathematics

Use Your Head: Mathematics As Therapy, Miriam Lipschutz-Yevick Apr 2000

Use Your Head: Mathematics As Therapy, Miriam Lipschutz-Yevick

Humanistic Mathematics Network Journal

No abstract provided.


Coherence In Theories Relating Mathematics And Language, Carl Winsløw Apr 2000

Coherence In Theories Relating Mathematics And Language, Carl Winsløw

Humanistic Mathematics Network Journal

No abstract provided.


Operationalizing Interactive Learning Paradigms Through Cooperative Learning Activities 100% Of The Time In Math Classes, Ted Panitz Apr 2000

Operationalizing Interactive Learning Paradigms Through Cooperative Learning Activities 100% Of The Time In Math Classes, Ted Panitz

Humanistic Mathematics Network Journal

No abstract provided.


Mathematics And Sex, Yan Kow Cheong Apr 2000

Mathematics And Sex, Yan Kow Cheong

Humanistic Mathematics Network Journal

No abstract provided.


Imaginary, Lawrence Mark Lesser Apr 2000

Imaginary, Lawrence Mark Lesser

Humanistic Mathematics Network Journal

No abstract provided.


The True Truth About Kgi And The Field Station, Paul Faulstich Apr 2000

The True Truth About Kgi And The Field Station, Paul Faulstich

Pitzer Faculty Publications and Research

There are multiple truths. One is the true truth. This truth remains the same no matter what anyone thinks or says about it. For example, it is true truth that we need oxygen. and that trees provide it. No matter what we think or say about it, this is the way it is. And, the Bernard Biological Field Station is habitat to threatened and endangered plants and animals. This, too, we know to be true.


Counting On Continued Fractions, Arthur T. Benjamin, Francis E. Su, Jennifer J. Quinn Apr 2000

Counting On Continued Fractions, Arthur T. Benjamin, Francis E. Su, Jennifer J. Quinn

All HMC Faculty Publications and Research

No abstract provided in this article.


An Optical Coherence Microscope For 3-Dimensional Imaging In Developmental Biology, Barbara M. Hoeling, Andrew D. Fernandez, Richard C. Haskell, Eric Huang, Whittier R. Myers, Daniel C. Petersen, Sharon E. Ungersma, Ruye Wang, Mary E. Williams, Scott E. Fraser Mar 2000

An Optical Coherence Microscope For 3-Dimensional Imaging In Developmental Biology, Barbara M. Hoeling, Andrew D. Fernandez, Richard C. Haskell, Eric Huang, Whittier R. Myers, Daniel C. Petersen, Sharon E. Ungersma, Ruye Wang, Mary E. Williams, Scott E. Fraser

All HMC Faculty Publications and Research

An optical coherence microscope (OCM) has been designed and constructed to acquire 3-dimensional images of highly scattering biological tissue. Volume-rendering software is used to enhance 3-D visualization of the data sets. Lateral resolution of the OCM is 5 mm (FWHM), and the depth resolution is 10 mm (FWHM) in tissue. The design trade-offs for a 3-D OCM are discussed, and the fundamental photon noise limitation is measured and compared with theory. A rotating 3-D image of a frog embryo is presented to illustrate the capabilities of the instrument.


A Rational Solution To Cootie, Arthur T. Benjamin, Matthew T. Fluet '99 Mar 2000

A Rational Solution To Cootie, Arthur T. Benjamin, Matthew T. Fluet '99

All HMC Faculty Publications and Research

No abstract provided in this article.


Disorder-Induced Desynchronization In A 2x2 Circular Josephson Junction Array, Adam S. Landsberg Feb 2000

Disorder-Induced Desynchronization In A 2x2 Circular Josephson Junction Array, Adam S. Landsberg

WM Keck Science Faculty Papers

Analytical results are presented which characterize the behavior of a dc-biased, two-dimensional circular array of overdamped Josephson junctions subject to increasing levels of disorder. It is shown that high levels of disorder can abruptly destroy the synchronous functioning of the array. We identify the transition boundary between synchronized and desynchronized behavior, along with the mechanism responsible for the loss of frequency locking. Comparisons with recent results for arrays with rectangular lattice geometries are described.


New Specimens Of Late Quaternary Extinct Mammals From Caves In Sanchez Ramirez Province, Dominican Republic, Donald A. Mcfarlane, Abel Vale, Keith Christenson, Joyce Lundberg, Gabriel Atilles, Stein Erik Lauritzen Jan 2000

New Specimens Of Late Quaternary Extinct Mammals From Caves In Sanchez Ramirez Province, Dominican Republic, Donald A. Mcfarlane, Abel Vale, Keith Christenson, Joyce Lundberg, Gabriel Atilles, Stein Erik Lauritzen

WM Keck Science Faculty Papers

During the late Quaternary, the island of Hispaniola supported one of the most diverse mammalian faunas in the West Indies. Much of this diversity was lost to extinction in the past 100,000 years, but the timing of these events is poorly known. Here we report the paleontological findings of a multidisciplinary investigation of caves in the central Dominican Republic. These findings include new 'last occurrence' dates for the rodents Isolobodon portoricensis and Brotomys cf. voratus that take these genera to the dawn of the historic era; a first record of a last-interglacial sloth, and the first report of the upper …


Efficient Multicast In Heterogeneous Networks Of Workstations, Ran Libeskind-Hadas, Jeff R.K. Hartline '01 Jan 2000

Efficient Multicast In Heterogeneous Networks Of Workstations, Ran Libeskind-Hadas, Jeff R.K. Hartline '01

All HMC Faculty Publications and Research

This paper studies the problem of efficient multicast in heterogeneous networks of workstations (HNOWs) using a parameterized communication model [3]. This model associates a sending overhead and a receiving overhead with each node as well as a network latency parameter. The problem of finding optimal multicasts in this model is known to be NP-complete in the strong sense. Nevertheless, we show that for two different properties that arise in typical HNOWs, provably near-optimal and optimal solutions, respectively, can be found in polynomial time. Specifically, we show the following two results: When the ratios of receiving overhead to sending overhead among …


Procedural Support For Cooperative Negotiations: Theoretical Design And Practical Implementation, Matthias G. Raith, Francis Su Jan 2000

Procedural Support For Cooperative Negotiations: Theoretical Design And Practical Implementation, Matthias G. Raith, Francis Su

All HMC Faculty Publications and Research

We discuss the theoretical design of algorithms for solving distributional conflicts within groups. We consider an algorithm to be procedural if the implementation of the outcome requires the participation of the players, or if it can even be conducted by the players themselves without computational assistance. We compare two procedures for multilateral problems of fair division; both establish envy-freeness, given the possibility of monetary compensations between players.


Review: Cake-Cutting Algorithms: Be Fair If You Can, Francis E. Su Jan 2000

Review: Cake-Cutting Algorithms: Be Fair If You Can, Francis E. Su

All HMC Faculty Publications and Research

No abstract provided in this article.


A Leveque-Type Lower Bound For Discrepancy, Francis E. Su Jan 2000

A Leveque-Type Lower Bound For Discrepancy, Francis E. Su

All HMC Faculty Publications and Research

A sharp lower bound for discrepancy on R / Z is derived that resembles the upper bound due to LeVeque. An analogous bound is proved for discrepancy on Rk / Zk. These are discussed in the more general context of the discrepancy of probablity measures. As applications, the bounds are applied to Kronecker sequences and to a random walk on the torus.


A Look At Biseparating Maps From An Algebraic Point Of View, Melvin Henriksen, Frank A. Smith Jan 2000

A Look At Biseparating Maps From An Algebraic Point Of View, Melvin Henriksen, Frank A. Smith

All HMC Faculty Publications and Research

In [ABN], Araujo, Beckenstein, and Narici add the capstone to a series of papers by several groups of authors by showing that if ρ is a biseparating map between two algebras of all real or complex-valued functions on realcompact spaces, then it is a continuous multiple of an isomorphism between these rings. Their proof uses relatively powerful analytic and topological techniques. In what follows, the extent to which such a result can be generalized to a wider class of algebras using algebraic techniques is investigated. We are unable, however to obtain the main result of [ABN] using these techniques.


Solvent As Electron Donor:  Donor/Acceptor Electronic Coupling Is A Dynamical Variable, Edward W. Castner Jr., Darcy Kennedy '00, Robert J. Cave Jan 2000

Solvent As Electron Donor:  Donor/Acceptor Electronic Coupling Is A Dynamical Variable, Edward W. Castner Jr., Darcy Kennedy '00, Robert J. Cave

All HMC Faculty Publications and Research

We combine analysis of measurements by femtosecond optical spectroscopy, computer simulations, and the generalized Mulliken−Hush (GMH) theory in the study of electron-transfer reactions and electron donor−acceptor interactions. Our focus is on ultrafast photoinduced electron-transfer reactions from aromatic amine solvent donors to excited-state acceptors. The experimental results from femtosecond dynamical measurements fall into three categories:  six coumarin acceptors reductively quenched by N,N-dimethylaniline (DMA), eight electron-donating amine solvents reductively quenching coumarin 152 (7-(dimethylamino)-4-(trifluoromethyl)coumarin), and reductive quenching dynamics of two coumarins by DMA as a function of dilution in the nonreactive solvents toluene and chlorobenzene. Applying a combination of molecular …


On The Vertical And Adiabatic Excitation Energies Of The 21a(G), State Of Trans-1,3-Butadiene, Jason Lappe '00, Robert J. Cave Jan 2000

On The Vertical And Adiabatic Excitation Energies Of The 21a(G), State Of Trans-1,3-Butadiene, Jason Lappe '00, Robert J. Cave

All HMC Faculty Publications and Research

The excitation energy to the 21Ag state of trans-1,3-butadiene is examined using a variety of ab initio electronic structure techniques. While analogous states have been shown to be the lowest singlet excited states for all longer polyenes, for butadiene the position of the 21Ag state relative to the HOMO → LUMO excitation (11Bu) has been difficult to establish theoretically. We employ a variety of methods (CASSCF, CASPT2, MRSDCI, QDVPT) to examine both the vertical and adiabatic excitation energies for this state. At the ground-state geometry, the vertical excitation energies …


When Is |C(X X Y)| = |C(X)||C(Y)|?, O. T. Alas, W. W. Comfort, S. Garcia-Ferreira, Melvin Henriksen, R. G. Wilson, R. G. Woods Jan 2000

When Is |C(X X Y)| = |C(X)||C(Y)|?, O. T. Alas, W. W. Comfort, S. Garcia-Ferreira, Melvin Henriksen, R. G. Wilson, R. G. Woods

All HMC Faculty Publications and Research

Sufficient conditions on the Tychonoff spaces X and Y are found that imply that the equation in the title holds. Sufficient conditions on the Tychonoff space X are found that ensure that the equation holds for every Tychonoff space Y . A series of examples (some using rather sophisticated cardinal arithmetic) are given that witness that these results cannot be generalized much.


Mis Legitimacy And The Proposition Of A New Multi-Dimensional Model Of Mis, Gondy Leroy, Paul Benjamin Lowry, H. Wayne Anderson, Dennis C. Wilson, Lin Lin Jan 2000

Mis Legitimacy And The Proposition Of A New Multi-Dimensional Model Of Mis, Gondy Leroy, Paul Benjamin Lowry, H. Wayne Anderson, Dennis C. Wilson, Lin Lin

CGU Faculty Publications and Research

This paper addresses the definition of MIS and the legitimacy of MIS as an academic discipline. Both sides of the MIS legitimacy debate are presented, with the authors embracing the diversity of MIS as a strength that enhances the legitimacy of the MIS discipline. Based on the diversity theory of MIS, the authors propose a new-multidimensional model of MIS that presents a new way of looking at the discipline and the researchers who work in it.


The Greatest Good, Char Miller, Rebecca Staebler Jan 2000

The Greatest Good, Char Miller, Rebecca Staebler

Pomona Faculty Publications and Research

The following is an excerpt from Chapter Two: ”Early Growth“ of The Greatest Good: 100 Years of Forestry in America. Through text and photographs the book explores the European roots of forestry, early forestry education and practice in the United States, the boom in research and production following World War II, and the technologies and practices that will see the profession into the 21st century.


Back To The Garden: The Redemptive Promise Of Sustainable Forestry, 1893-2000, Char Miller Jan 2000

Back To The Garden: The Redemptive Promise Of Sustainable Forestry, 1893-2000, Char Miller

Pomona Faculty Publications and Research

As we struggle at the turn of the century to define and implement “sustainable forestry”— the next stage in the evolution of forest management in North America and the world—it is important to realize that its components have strong roots in the forestry profession. This article examines the relationship of forests and forestry with social equity issues during the last century. In the end, the author leaves us with a question: can sustainable forestry as we understand it today lead to conflict resolution? If not, what lies beyond sustainable forestry?


Late Quaternary Fossil Mammals And Last Occurrence Dates From Caves At Barahona, Puerto Rico, Donald A. Mcfarlane Dec 1999

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 …


Anneli Lax: In Memoriam, Elena Anne Corie Marchisotto Dec 1999

Anneli Lax: In Memoriam, Elena Anne Corie Marchisotto

Humanistic Mathematics Network Journal

No abstract provided.


Teaching A Humanities Course: A Mathematician’S View, Bill Marion Dec 1999

Teaching A Humanities Course: A Mathematician’S View, Bill Marion

Humanistic Mathematics Network Journal

No abstract provided.


Word Problems, Don Pfaff Dec 1999

Word Problems, Don Pfaff

Humanistic Mathematics Network Journal

No abstract provided.


A Response To Dancis, Margaret Schaffer Dec 1999

A Response To Dancis, Margaret Schaffer

Humanistic Mathematics Network Journal

No abstract provided.


Another Response To Dancis, Ted Eisenberg Dec 1999

Another Response To Dancis, Ted Eisenberg

Humanistic Mathematics Network Journal

No abstract provided.


Evaluation In The Mathematics Classroom, Emam Hoosain, B. Naraine Dec 1999

Evaluation In The Mathematics Classroom, Emam Hoosain, B. Naraine

Humanistic Mathematics Network Journal

No abstract provided.


What Is The Thing Called “Humanistic Mathematics?”, Tamar Apel Dec 1999

What Is The Thing Called “Humanistic Mathematics?”, Tamar Apel

Humanistic Mathematics Network Journal

No abstract provided.