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Claremont Colleges

1999

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Articles 31 - 60 of 141

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Almost Periodic Factorization Of Certain Block Triangular Matrix Functions, Ilya M. Spitkovsky, Darryl H. Yong Aug 1999

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 Aug 1999

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 …


Different Proctolin Neurons Elicit Distinct Motor Patterns From A Multifunctional Neuronal Network, Dawn M. Blitz, Andrew E. Christie, Melissa J. Coleman, Brian J. Norris, Eve Marder, Michael P. Nusbaum Jul 1999

Different Proctolin Neurons Elicit Distinct Motor Patterns From A Multifunctional Neuronal Network, Dawn M. Blitz, Andrew E. Christie, Melissa J. Coleman, Brian J. Norris, Eve Marder, Michael P. Nusbaum

WM Keck Science Faculty Papers

Distinct motor patterns are selected from a multifunctional neuronal network by activation of different modulatory projection neurons. Subsets of these projection neurons can contain the same neuromodulator(s), yet little is known about the relative influence of such neurons on network activity. We have addressed this issue in the stomatogastric nervous system of the crab Cancer borealis. Within this system, there is a neuronal network in the stomatogastric ganglion (STG) that produces many versions of the pyloric and gastric mill rhythms. These different rhythms result from activation of different projection neurons that innervate the STG from neighboring ganglia and modulate STG …


Front Matter, Issue 20, 1999 Jul 1999

Front Matter, Issue 20, 1999

Humanistic Mathematics Network Journal

No abstract provided.


From The Editor, Issue 20, 1999, Alvin White Jul 1999

From The Editor, Issue 20, 1999, Alvin White

Humanistic Mathematics Network Journal

No abstract provided.


Gian-Carlo Rota: In Memoriam, Richard Stanley Jul 1999

Gian-Carlo Rota: In Memoriam, Richard Stanley

Humanistic Mathematics Network Journal

No abstract provided.


Math Applies To Everyday Life, Geoffrey Smith Jul 1999

Math Applies To Everyday Life, Geoffrey Smith

Humanistic Mathematics Network Journal

No abstract provided.


Algebra, Algebra, You Were So Tough, Ryan Best Jul 1999

Algebra, Algebra, You Were So Tough, Ryan Best

Humanistic Mathematics Network Journal

No abstract provided.


Math Is A Subject That Is The Best, Alexandra Holliday Jul 1999

Math Is A Subject That Is The Best, Alexandra Holliday

Humanistic Mathematics Network Journal

No abstract provided.


Middle School Math Teaching And How It Harms Our Children, Jerome Dancis Jul 1999

Middle School Math Teaching And How It Harms Our Children, Jerome Dancis

Humanistic Mathematics Network Journal

No abstract provided.


Is Our Practice Of Humanistic Mathematics Actually Humane?, Jack Lochhead Jul 1999

Is Our Practice Of Humanistic Mathematics Actually Humane?, Jack Lochhead

Humanistic Mathematics Network Journal

No abstract provided.


Changing The Subject, Or, Would You Hire A Good Clarinet Teacher To Teach Your Child The Violin?, Jerome Dancis Jul 1999

Changing The Subject, Or, Would You Hire A Good Clarinet Teacher To Teach Your Child The Violin?, Jerome Dancis

Humanistic Mathematics Network Journal

No abstract provided.


Is Mathematics Education Taking A Step Backward?, Frances Kuwahara Lang Jul 1999

Is Mathematics Education Taking A Step Backward?, Frances Kuwahara Lang

Humanistic Mathematics Network Journal

This article addresses the current political, socioeconomic, and educational state of mathematics education in California. The “back-to-basics” movement in mathematics mirrors the “back-to-phonics” movement in language arts. At a time when ethnic minorities have become the majority, the dominant culture has chosen to revert back to practices that are inequitable and empower the elite. Critical educators must carry on the dialogue necessary to empower the disenfranchised mathematically and undermine the social injustice and economic inequality that will result if this movement is embraced.


Circle, Anna Palco Jul 1999

Circle, Anna Palco

Humanistic Mathematics Network Journal

No abstract provided.


Equations, Benjamin Davidson Jul 1999

Equations, Benjamin Davidson

Humanistic Mathematics Network Journal

No abstract provided.


A Window Into The Life Of Ramanujan, Marlene Neff Jul 1999

A Window Into The Life Of Ramanujan, Marlene Neff

Humanistic Mathematics Network Journal

No abstract provided.


Research Papers In A Math Methods Course: A Window Into The Life Of Ramanujan, John Grant Mcloughlin Jul 1999

Research Papers In A Math Methods Course: A Window Into The Life Of Ramanujan, John Grant Mcloughlin

Humanistic Mathematics Network Journal

No abstract provided.


Numbers, Shea Ybarra Jul 1999

Numbers, Shea Ybarra

Humanistic Mathematics Network Journal

No abstract provided.


Circles, Valentino Loiacono Jul 1999

Circles, Valentino Loiacono

Humanistic Mathematics Network Journal

No abstract provided.


Between Childhood And Mathematics: Word Problems In Mathematical Education, André Toom Jul 1999

Between Childhood And Mathematics: Word Problems In Mathematical Education, André Toom

Humanistic Mathematics Network Journal

No abstract provided.


A Mathematics Manifesto: Think Differently! Think Quantitatively!Quantitative Awareness As A Fresh Thinking Cap, Miriam Lipschutz-Yevick Jul 1999

A Mathematics Manifesto: Think Differently! Think Quantitatively!Quantitative Awareness As A Fresh Thinking Cap, Miriam Lipschutz-Yevick

Humanistic Mathematics Network Journal

No abstract provided.


Multiplication, Molly Hager Jul 1999

Multiplication, Molly Hager

Humanistic Mathematics Network Journal

No abstract provided.


Math Is Really Great, Eric Rasyidi Jul 1999

Math Is Really Great, Eric Rasyidi

Humanistic Mathematics Network Journal

No abstract provided.


Using Writing To Connect With Our Mathematics Students, Ann Sitomer Jul 1999

Using Writing To Connect With Our Mathematics Students, Ann Sitomer

Humanistic Mathematics Network Journal

No abstract provided.


Adding Is As Easy As One, Two, Three, Marshall Sachs Jul 1999

Adding Is As Easy As One, Two, Three, Marshall Sachs

Humanistic Mathematics Network Journal

No abstract provided.


Art And Geometry: Proportion And Similarity, Catherine A. Gorini Jul 1999

Art And Geometry: Proportion And Similarity, Catherine A. Gorini

Humanistic Mathematics Network Journal

No abstract provided.


Analogic Thinking In Science And Math, Martha D. Patton Jul 1999

Analogic Thinking In Science And Math, Martha D. Patton

Humanistic Mathematics Network Journal

No abstract provided.


A Collection Of Ideas On Systems And Their Extensions, Paul Fjelstad Jul 1999

A Collection Of Ideas On Systems And Their Extensions, Paul Fjelstad

Humanistic Mathematics Network Journal

No abstract provided.


Book Review: Strength In Numbers By Sherman Stein, Alvin White Jul 1999

Book Review: Strength In Numbers By Sherman Stein, Alvin White

Humanistic Mathematics Network Journal

No abstract provided.


One Plus One, Mae Talle Jul 1999

One Plus One, Mae Talle

Humanistic Mathematics Network Journal

No abstract provided.