Physical Sciences and Mathematics Commons^™

Preparing Teachers To Teach Mathematics Within A Humanistic Perspective, Beatriz S. D'Ambrosio

Humanistic Mathematics Network Journal

No abstract provided.

Teaching Global Issues Through Mathematics, Richard H. Schwartz

Humanistic Mathematics Network Journal

No abstract provided.

What Has Mathematics Got To Do With Values?, Stephen Lerman

Humanistic Mathematics Network Journal

No abstract provided.

Mathematics And Ethics, Reuben Hersh

Humanistic Mathematics Network Journal

No abstract provided.

A Social View Of Mathematics: Iimplications For Mathematics Education, Stephen Lerman

Humanistic Mathematics Network Journal

No abstract provided.

Hawaiians Fight For The Rainforest, Paul Faulstich

Pitzer Faculty Publications and Research

On March 25, 141 were arrested as part of the largest demonstration yet against the drilling of geothermal wells in the Wao Kele O Puna Rainforest on the Big Island of Hawaii. The geothermal project, undertaken by True Geothermal Company and endorsed by Hawaii's governor and other high-powered, short-sighted people, has already invaded the largest intact tropical lowland rainforest in the United States. The demonstration drew over 1500 protesters,

Graphs, Maneuvers, And Turnpikes, Arthur T. Benjamin

All HMC Faculty Publications and Research

We address the problem of moving a collection of objects from one subset of Z^m to another at minimum cost. We show that underfairly natural rules for movement assumptions, if the origin and destination are far enough apart, then a near optimal solution with special structure exists: Our trajectory from the originto the destination accrues almost all of its cost repeatingat most m different patterns of movement. Directions for related research are identified.

Size‐Inconsistency Effects In Molecular Properties For States With Valence‐Rydberg Mixing: The Low‐Lying Π→Π∗ States Of Ethylene And Butadiene, Robert J. Cave

All HMC Faculty Publications and Research

Ab initio results for the low‐lying 1B1u states of ethylene are used to discuss size‐inconsistency effects on calculated molecular properties for states where valence‐Rydberg mixing is important. Results for the expectation value of x2, x being the coordinate perpendicular to the plane of the molecule, are presented from quasidegenerate variational perturbation theory and multireference configuration‐interaction calculations. These results are compared with values from previous studies. It is argued that size inconsistency in configuration‐interaction studies can have a significant effect on estimated molecular properties. Calculations on several low‐lying states of butadiene are also reported where similar size‐inconsistency effects are found.

Hawaii's Rainforest Crunch: Land, People, And Geothermal Development, Paul Faulstich

Pitzer Faculty Publications and Research

One hundred and forty-one people, led by Native Hawaiians, were arrested on 25 March 1990 as part of the largest demonstration yet against geothermal development in Hawaii. The gathering was intended to focus attention on Native Hawaiian rights and the ecological consequences of drilling geothermal wells in the near-pristine Wao Kele O Puna rain forest. The energy project, undertaken by True Geothermal Company and endorsed by Hawaii's governor and other imposing figures, has already invaded the largest intact tropical lowland rain forest in the United States.

Faster Circuits And Shorter Formulas For Multiple Addition, Multiplication And Symmetric Boolean Functions, Michael Paterson, Uri Zwick, Nicholas Pippenger

All HMC Faculty Publications and Research

A general theory is developed for constructing the shallowest possible circuits and the shortest possible formulas for the carry-save addition of n numbers using any given basic addition unit. More precisely, it is shown that if BA is a basic addition unit with occurrence matrix N, then the shortest multiple carry-save addition formulas that could be obtained by composing BA units are of size n1p+o(1)/, where p is the unique real number for which the Lp norm of the matrix N equals 1. An analogous result connects the delay matrix M of the basic addition unit BA and the minimal …

Ordered Ultraconnected Rings, Melvin Henriksen, Frank A. Smith

All HMC Faculty Publications and Research

A ring R with identity element 1 is called ultraconnected if for each unital homomorphism ϕ of Z^ω into R, there is an i < ω such that ϕ(f) = f(i) • 1 for every f € Z^ω . Our main result is that if no sum of nonzero squares in R is 0 and R has only trivial idempotents, then R fails to be ultraconnected iff R contains a subring isomorphic to Z^ω/P for some free minimal prime ideal P of Z^ω.

Olmos Park And The Creation Of A Suburban Bastion, Char Miller, Heywood T. Sanders

Pomona Faculty Publications and Research

An examination of this small Texas community will also cast light on the larger world of which it was a part. The development of Olmos Park, then, was inextricably bound up with and reflective of the political machinations and social problems that dominated San Antonio in the first decades of this century. As Mauerman understood, the suburb was a fragment of the urban whole, an observation that needs to be pushed one step farther. The forces that shaped Olmos Park and determined its relations with San Antonio were also part of a national pattern, of tensions generated by the explosive …

The Rise Of Urban Texas, Char Miller, David R. Johnson

Pomona Faculty Publications and Research

Texas contains three of the nation's ten largest cities, but their existence has not yet affected the hold that the state's rural heritage has on Texas' imagination--or so Texans' attachment to two nineteenth-century cultural landmarks, the Alamo and the Chisholm Trail, would suggest. As the shrine of Texas liberty, the Alamo continually generates elegies to the manly courage and bravery of the fallen heroes of 1836.

Editorial, Issue 4, 1989, Alvin White

Humanistic Mathematics Network Journal

No abstract provided.

Front Matter, Issue 4, 1989

Humanistic Mathematics Network Journal

No abstract provided.

Pumps, Filters, And Lenses; Humanistic Issues In Calculus Reform, Dan Kalman

Humanistic Mathematics Network Journal

No abstract provided.

Reflections On Attending Three Contributed Paper Sessions On Humanistic Mathematics In Phoenix 1989, Peter Flusser

Humanistic Mathematics Network Journal

No abstract provided.

The Visits Of Hassler Whitney To Brazil: Hassler Whitney, In Memoriam, Ubiratan D'Ambrosio

Humanistic Mathematics Network Journal

No abstract provided.

Hassler Whitney 1907-1989: Some Recollections, 1979·1989, Anneli Lax

Humanistic Mathematics Network Journal

No abstract provided.

Lessons From Cognitive Theory For Teaching Mathematical Modeling To Freshmen, Richard H. Elderkin

Humanistic Mathematics Network Journal

No abstract provided.

Pdp/Academic Excellence Workshops In Mathematics, M. Catharine Hudspeth

Humanistic Mathematics Network Journal

No abstract provided.

Education Is For The Students' Future, Hassler Whitney

Humanistic Mathematics Network Journal

No abstract provided.

Mathematics Appreciation: A Humanities Course, Thomas L. Bartlow

Humanistic Mathematics Network Journal

No abstract provided.

Introducing Undergraduates To Mathematics Information Resources, Sallie H. Barringer

Humanistic Mathematics Network Journal

No abstract provided.

Abstracts Of All Papers Presented At The Humanistic Mathematics Sessions In Phoenix 1989

Humanistic Mathematics Network Journal

No abstract provided.

Tapping Creativity And Ingenuity Of Liberal Arts Majors In A Math Course, Helen Christensen

Humanistic Mathematics Network Journal

No abstract provided.

Back Matter, Issue 4, 1989

Humanistic Mathematics Network Journal

No abstract provided.

An Empowering, Participatory Research Model For Humanistic Mathematics Pedagogy, Arthur B. Powell, Dawud A. Jeffries, Aleshia E. Selby

Humanistic Mathematics Network Journal

No abstract provided.

Radially Symmetric Solutions To A Superlinear Dirichlet Problem In A Ball With Jumping Nonlinearities, Alfonso Castro, Alexandra Kurepa

All HMC Faculty Publications and Research

Let p,φ :[0,T] → R be bounded functions with φ > 0. Let g:R → R be a locally Lipschitzian function satisfying the superlinear jumping condition:

(i) lim u → - ∞ (g(u)/u) ε R

(ii) lim u → ∞ (g(u)/(u^{1 + ρ} )) = ∞ for some ρ > 0, and

(iii) lim u → ∞ (u/g(u))^N/2(NG(κ u) - ((N - 2)/2)u · g(u)) = ∞ for some κ ε (0,1] where G is the primitive of g.

Here we prove that the number of solutions of the boundary value problem Δu + g(u) = p(|x|) + cφ …

Review: J.R. Porter And R.G. Woods, Extensions And Absolutes Of Hausdorff Spaces (New York, Berlin, Heidelberg, 1987), Melvin Henriksen

All HMC Faculty Publications and Research

Reviewed work: Jack R. Porter and R. Grant Woods. Extensions and absolutes of Hausdorff spaces. Springer-Verlag, New York, Berlin, Heidelberg, 1987, xiii + 856 pp., $89.00. ISBN 0-387-96212-3.