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2005-2006
Academic Year Colloquium Schedule |
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August 25, 2005
| Title |
Fixed Points & Maps from Here to Here. |
| Speaker |
Robert Messer
Associate Professor
Department of Mathematics and Computer Science
Albion College
|
| Abstract |
If you stir a cup of coffee carefully with a circular motion,
the point at the center remains fixed under this motion.
What happens if you stir in a more complicated pattern?
Will there always be a point that returns to its original
location? We will prove a two-dimensional version of a
theorem that guarantees a fixed point for a continuous
deformation of the surface of the coffee. The proof uses
a clever counting argument known as Sperner's Lemma.
The simplest version of this lemma says if your cat is inside
when you go to bed and outside when you wake up in the
morning, it must have gone through its little cat door an
odd number of times. |
| Time |
3:10 PM |
| Location |
Palenske 227 |
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August 25, 2005
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September 1, 2005
| Title |
Combinatorial Combat: The Mathematics of Games |
| Speaker |
Mort Brown
Professor Emeritus
Department of Mathematics
University of Michigan
Ann Arbor, MI |
| Abstract |
We will study the strategy of several games where mathematics can play a role.
Some are "solvable" games, some are "unsolved", and in some it is known who wins but nobody
knows how it is done. The rules of the games are all simple, but the games may not be. |
| Time |
3:10 PM |
| Location |
Palenske 227 |
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Flyer |
September 1, 2005
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September 8, 2005
| Title |
Career Planning in Mathematics and Computer Science |
| Speaker |
David Reimann
Associate Professor and Chair
Department of Mathematics and Computer Science
Albion College |
| Abstract |
There has long been a demand in both industry and government for people
with training in mathematics, statistics, and computer science.
Even in a weak economy, the job market remains strong for mathematics and computer science majors.
A recent government report indicated "computer occupations
account for 5 out of the 20 fastest growing occupations in the
economy".
A degree in mathematics or computer science is
excellent preparation for graduate school in areas
such as mathematics, statistics, computer science, engineering,
finance, and law.
Come learn about some exciting career and graduate school options you will have after graduation.
|
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3:10 PM |
| Location |
Palenske 227 |
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September 8, 2005
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September 15, 2005
| Title |
Seeing lines with Differential Equations |
| Speaker |
Melinda Koelling
Assistant Professor
Department of Mathematics
Western Michigan University
Kalamazoo, MI |
| Abstract |
The approximately 100 billion neurons in your brain communicate by
electrical signals. In this talk, we will look at how about half a
billion of them might work together to make it possible for you to see
lines. I will discuss known physical properties of these neurons and how
to model them. The model will involve some equations involving the rate
of change of the voltage across the cell membrane of the neurons --
differential equations. I will then talk about how to solve these
equations. This talk is intended for people who may not be familiar with
differential equations, neuroscience, and mathematical modeling, but
who want to know more. |
| Time |
3:10 PM |
| Location |
Palenske 227 |
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September 15, 2005
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September 22, 2005
| Title |
Industrial Mathematics at MSU |
| Speaker |
Charles MacCluer
Professor
Department of Mathematics
Michigan State University |
| Abstract |
In this talk we will discuss various aspects
of the MSU Industrial Mathematics Program, including
various real-world industrial products completed by
former graduates, such as modeling the future emergency
services needs of the Sparrow Hospital System. |
| Time |
3:10 PM |
| Location |
Palenske 227 |
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Flyer |
September 22, 2005
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September 29, 2005
| Title |
Steady streaming in bubble microfluidics, and other assorted things I learned at Albion |
| Speaker |
David Hansen
Doctoral Candidate
Department of Engineering Sciences and Applied Mathematics
Northwestern University |
| Abstract |
Oscillating microbubbles exhibit several interesting behaviors,
including light emission, penetration of cell walls, and efficient transport of
microscopic objects. To accurately model such bubbles, we employ a combination
of mathematical techniques to solve the vorticity equation. The result is an
easy-to-use “toolbox” for simulating complex flows relevant to lab-on-a-chip
and bioengineering
applications. |
| Time |
3:10 PM |
| Location |
Palenske 227 |
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Flyer |
September 29, 2005
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October 6, 2005
| Title |
An Introduction to Genetic Algorithms |
| Speaker |
Rama Chidambaram
Assistant Professor
Department of Mathematics and Statistics
University of Michigan - Dearborn |
| Abstract |
Genetic Algorithms GAs are robust randomized search algorithms. They
mimic the mechanism of natural selection and reproduction to seek optimal
solutions in a variety of environments. Genetic Algorithms make very few
assumptions on the search space and search criteria. This makes GAs the
most sought after algorithm in applications such as robotic control and
artificial intelligence. GAs can also be applied to a search space that
is not perfectly smooth or unimodel.
GAs were first developed in 1975 by John Holland and his colleagues at the
University of Michigan. Their research goal was to abstract and rigorously
explain the adaptive process of natural systems and to design artificial
systems software that retained the important mechanism of natural systems.
Since then, GAs have evolved considerably and have found applications in
various walks of life. Today's talk will provide an introduction to
genetic algorithms and their applications. |
| Time |
3:10 PM |
| Location |
Palenske 227 |
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Flyer |
October 6, 2005
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October 20, 2005
| Title |
Mathematical Models of Physical Phenomena in Science, Engineering, and Medicine |
| Speaker |
Anna Maria Spagnuolo
Associate Professor
Department of Mathematics Sciences
Oakland University
Rochester, MI |
| Abstract |
Mathematical models involving ordinary and partial differential equations and
corresponding convergent numerical algorithms for computing their solutions can be used
to create simulation packages to study physical phenomena. The mathematical approach can
offer guidance for running laboratory experiments, creating specific drugs, and developing
tools. In this talk, I will focus on models and numerical simulations used to study the
following problems: the colonization of Vibrio cholerae in a human host, the detection of
recurrent brain tumors, the development of medical devices, tracking nuclear transport in
porous media, and more. |
| Time |
3:10 PM |
| Location |
Palenske 227 |
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Flyer |
October 20, 2005
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October 27, 2005
| Title |
Mathematics, Computer Science, Scientific Modeling, and a Long, Fun-Filled Ninety-Six Hours in the Cold of February |
| Speaker |
Mr. Brian Dick
Mr. Benjamin Johns
Mr. Brian Dick
Ms. Kate Walton
Undergraduate Students in Mathematics and Science
Albion College
|
| Abstract |
Every February the Consortium for Mathematics and its Applications
conducts a world-wide competition in applied mathematics.
This competition begins with the posting of two real-world word
problems to an official website.
Then, over the next four days, teams of two or three students at schools
around the world select a problem, develop a solution, and type up a fully
cited research paper detailing their solution. These papers are then
submitted by the team advisors to a judging committee for review.
In 2005, five Albion College students formed two teams and respectively
tackled two challenging problems. The first addressed the failure of
the Rawls Creek dam in South Carolina and the resulting impact of the flood
waters, while the second problem dealt with the problem of determining the
optimal number of tollbooths to deploy in a barrier-toll plaza. During this talk,
representatives from both teams will discuss the ups and downs of team-based
mathematical modeling, including presentation of their solutions and anecdotes
relating their experiences during this grueling competition. |
| Time |
3:10 PM |
| Location |
Palenske 227 |
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Flyer |
October 27, 2005
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November 3, 2005
| Title |
Mathematics and National Security |
| Speaker |
Ms. Sandra Speiser
Cryptologic Mathematician
The National Security Agency |
| Abstract |
The National Security Agency (NSA) makes and breaks codes in
order to protect U.S. government information systems and produce foreign signals
intelligence. The speaker will present an overview of the Agency and the work performed by NSA
mathematicians. An example from public key cryptography will illustrate an application
of math in securing communications. |
| Time |
3:10 PM |
| Location |
Palenske 227 |
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Flyer |
November 3, 2005
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November 10, 2005
| Title |
Multisource network broadcasting: explorations in theory rather than practice, an open problem,
and the dark side of research. |
| Speaker |
Harold Connamacher
Assistant Professor
Department of Mathematics and Computer Science
Albion College |
| Abstract |
Imagine that you are the head of development for a media company that is going to broadcast a show on the internet.
You have a large number of subscribers that need to receive the broadcast, and both to speed the data transmission
and to protect yourself in the event of network or machine problems, you have multiple broadcast sources at different
locations on the internet. Your goal is to get the broadcast to the subscribers as quickly as possible.
One solution is to flood the network. While this solves the problem, other internet users may not appreciate your hogging the
bandwidth. Another possibility is to compute a tree that spans the portion of the network containing the sources and
subscribers and to send the transmission along the edges of the tree. It turns out that how we define
"as quickly as possible"
has a huge effect on both the type of tree we need to compute and how easy or hard it is to compute the tree.
This talk will explore these differences, demonstrate techniques used in theoretical computer science, present a
possible research problem for interested students, and on the way we will expose a bit of the dark side of research. |
| Time |
3:10 PM |
| Location |
Palenske 227 |
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Flyer |
November 10, 2005
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November 17, 2005
| Title |
Andy Lake's Talk: Detectives, Squirrels and BRUW: My Summer At Internet2
and
Dustin Turner's Talk: Brainstorming, Barnstorming, and what the heck is there to do in Kansas? |
| Speaker |
Mr. Andrew Lake
Computer Science Senior
Department of Mathematics and Computer Science
Albion College
and
Mr. Dustin Turner
Applied Mathematics and History Junior
Department of Mathematics and Computer Science
Albion College |
| Abstract |
Andy Lake's Presentation: I will discuss my summer internship at Internet2 in Ann Arbor.
Internet2 is a consortium of universities and organizations dedicated to
building and testing next generation network applications. During my time
with Internet2 I worked on a number of projects including the Internet2
Detective, BlackSquirrel, and BRUW. I will discuss the projects in detail
in addition to what Internet2 is and how I got started with them.
and
Dustin Turner's Presentation: In this talk I will discuss research I did over the summer regarding the
implementation of an algorithm for stable differentiation of noisy piecewise
smooth data. In addition I will be discussing the REU experience and
why students should consider one! |
| Time |
3:10 PM |
| Location |
Palenske 227 |
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Flyer |
November 17, 2005
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December 1, 2005
| Title |
Some Clever Proofs using Advanced Mathematics |
| Speaker |
Mr. Giovanni DiMatteo
Pure Mathematics Senior
Department of Mathematics and Computer Science
Albion College |
| Abstract |
We'll examine three smart applications of
topics from undergraduate math, including
Cauchy sequences, topological spaces, and finite fields.
I created one of these problems, read another in
a book, and saw the third at the Budapest Semester in Mathematics (BSM).
All of them yield
(comparatively) neat solutions to the problems
chosen; this serves partly as advertising for the
problem solving seminar I will be running again in the
spring and also as an opportunity to talk a little
about my experience at the BSM program. |
| Time |
3:10 PM |
| Location |
Palenske 227 |
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Flyer |
December 1, 2005
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December 8, 2005
| Title |
Summer Programs and other Off-Campus Opportunities |
| Speaker |
Darren E. Mason
Assistant Professor
Department of Mathematics and Computer Science
Albion College |
| Abstract |
Have you ever wondered if you can study
mathematics and/or computer science off-campus?
Either during the summer or during the academic year? Each
year a number of high-quality academic opportunities are available
to Albion College students. Options include research/study internships
at
- academic institutions both within the United States and abroad,
- numerous federal government agencies, and
- a number of government scientific laboratories.
In this presentation we will tour a new portion of the Albion College Math/CS
website that illustrates these various opportunities as well as provide advice
on how to apply, deadlines, any other pertinent information. |
| Time |
3:10 PM |
| Location |
Palenske 227 |
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Flyer |
December 8, 2005
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January 26, 2006
| Title |
Is the whole really greater than the sum of its parts? Exploring partitions of numbers |
| Speaker |
Stephanie Treneer
Graduate Student
Department of Mathematics
Univeristy of Illinois at Urbana-Champaign
|
| Abstract |
A partition of a positive integer n is a sequence of positive integers
that sum to n. The partition function p(n) counts the partitions of
n
without regard to order. This deceptively simple function has led to a
rich theory. We'll look at two elementary methods for analyzing
partitions: Ferrers graphs and generating functions, and then briefly
discuss how the theory of modular forms has led to some recent surprising
results about p(n). |
| Time |
3:10 PM |
| Location |
Palenske 227 |
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January 26, 2006
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February 1, 2006
| Title |
Writing -680 as a "Product of Threes": The power of τ-factorization |
| Speaker |
Andrea M. Frazier
Graduate Student
Department of Mathematics
Univeristy of Iowa
|
| Abstract |
Download Here |
| Time |
3:10 PM |
| Location |
Palenske 227 |
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Flyer |
February 1, 2006
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February 9, 2006
| Title |
Data Conversion and State Management for Heterogeneous Thread Migration |
| Speaker |
John P. Walters
Graduate Student
Department of Computer Science
Wayne State University
|
| Abstract |
In long running parallel computations it may sometimes be
helpful to migrate individual threads from one machine to another. This
has applications in fault tolerance as well as runtime performance.
However, a typical parallel application will rely on a certain global
state that may no longer exist once migration has occured. Furthermore,
it may be advantageous to migrate a thread to a heterogeneous
architecture. How can a consistant global state be maintained in such a
situation? Here we discuss the data conversion and consistency issues
surrouding heterogeneous thread migration. We show that this can be
accomplished in a method that is completely transparent to the
user/programmer. |
| Time |
3:10 PM |
| Location |
Palenske 227 |
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Flyer |
February 9, 2006
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February 16, 2006
| Title |
The Importance of Mathematics |
| Speaker |
Timothy Gowers ( virtual )
Professor of Mathematics
University of Cambridge
Fields Medal Recipient
|
| Abstract |
The Importance of Mathematics is a lucid, dynamic presentation
of the deep and important question of the relevance of mathematics to
society, delivered by one of the best mathematicians of the modern age.
Timothy Gowers is Professor of Mathematics at the University of Cambirdge
(UK) and a recipient of the prestigious Fields Medal.
Professor Gowers gave the Keynote Address at the historic Millennium Meeting
of the Clay Mathematics Institute — the very same meeting at which the Millennium
Prize Problems were announced. Gowers spoke about the relevance of mathematics
to diverse applications citing examples in computer science, finance, and
engineering. His theme underscores the unity of different apparently diverse
sub-fields of mathematics. His exposition is exceptionally clear and easy to
follow, making mathematics accessible to non-experts.
This lecture is a treasure trove of mathematical intuition and insight
into the relationship between mathematics and its applications. Using
historical and present-day examples, the speaker makes a convincing argument
that mathematics plays a crucial role in the advancement of science.
Gowers is known throughout the world for his proficiency as a speaker, and
he leads us on a journey through arithmetic progressions, distributions of
primes, and the political implications and real-world applications of mathematics,
in a way that promises to delight and inspire experts and non-experts alike.
Abstract quoted from http://www.claymath.org/annual_meeting/2000_Millennium_Event/Video/ |
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3:10 PM |
| Location |
Palenske 227 |
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February 16, 2006
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February 23, 2006
| Title |
Trying to Find Order in Nature: Mapping Plants Using Multivariate Statistics |
| Speaker |
Christopher Van de Ven
Assistant Professor
Department of Geological Sciences
Albion College
|
| Abstract |
The geographic distributions of plants are functions of their local environments.
Each plant species has a unique set of environmental tolerances that determine where a
plant is able to grow. Using a multivariate statistical technique called canonical
correspondence analysis (CCA), I estimate the tolerances of plant species to topographic
and geologic parameters. Once the tolerances of those plant species are known, or at
least approximated, the distribution of the plant can be mapped everywhere the environmental
variables are known. These models are calibrated and evaluated based on data collected in
numerous field sites. An interesting application of this technique is to predict how
species would respond to climate change, by modifying the environmental variables and
re-mapping the plant distributions. By predicting the consequences of local environmental
change on plant species, I have identified which plants are at risk of local extinction,
and estimated the magnitude of change to force them to go extinct. |
| Time |
3:10 PM |
| Location |
Palenske 227 |
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February 23, 2006
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March 2, 2006
| Title |
Groups and Symmetry |
| Speaker |
Ruth Favro
Professor
Department of Mathematics and Computer Science
Lawrence Technological University
|
| Abstract |
In this talk we will discuss how to use
rigid motions and regular polygons to develop
multiplication tables for symmetry groups. |
| Time |
3:10 PM |
| Location |
Palenske 227 |
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March 2, 2006
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March 23, 2006
| Title |
Connecting the Dots: Linear Algebra and Graph Theory |
| Speaker |
Sylvia Hobart
Associate Professor
Department Mathematics
University of Wyoming
|
| Abstract |
Draw some dots and connect them with lines; this is a graph.
Not a graph of a function as in calculus, but a combinatorial graph.
Such graphs are defined purely structurally, and many things can be proved
using that point of view. But bigger and better things can be done when
we bring in other parts of mathematics. I will introduce some basic linear
algebra and show how it codifies some properties of graphs. I will focus
on a class called strongly regular graphs which are particularly
appropriate for this approach. |
| Time |
3:10 PM |
| Location |
Palenske 227 |
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March 23, 2006
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March 28, 2006
| Title |
Life Isn't Fair: Social Choice Theory and Arrow's Theorem |
| Speaker |
Cayley Pendergrass
Doctoral Candidate
Department Mathematics
University of California - San Diego
|
| Abstract |
Kenneth Arrow proved in 1950 that, given a precise notion of reasonable, the
only reasonable social choice function is dictatorship. As this is unsatisfying, recent
work has begun to analyze which alternative voting scheme is best. This talk will discuss
Arrow's theorem, what "best" might mean for a social choice procedure, and a geometric
analysis of one particular family of social choice procedures.
The talk will be accessible to anyone comfortable with (high school) algebra,
basic properties of triangles, and logical reasoning. |
| Time |
4:10 PM |
| Location |
Palenske 227 |
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March 28, 2006
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April 6, 2006
| Title |
Exploiting Finger Surface As a Biometric Identifier |
| Speaker |
Damon Woodard
Post-Doctoral Research Associate
Department of Computer Science
University of Notre Dame
|
| Abstract |
Biometrics, the discipline of establishing
an individual's identity based upon physical or behavioral
characteristics, has become of major research area mainly
due to the numerous applications for reliable personal
identification. The performance of a biometric system is
highly dependent on the chosen biometric identifier. We
present a novel approach for personal identification
which utilizes 3D finger surface features as a biometric
identifier. Using 3D range images of the hand, a surface
representation for the index, middle, and ring finger is
calculated and used for comparison to determine subject
similarity. We use the curvature based shape index to
represent the fingers' surface. A large unique database
of hand images supports the research. We use data sets
obtained over time to examine the performance of each
individual finger surface as a biometric identifier as
well as the recognition performance obtained when combining
them. The probe and gallery sets sizes are varied to
determine their affect on overall system performance. We
present performance results for both authentication and
identification tasks which suggest that 3D finger surface
is a viable choice as a biometric identifier. |
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3:10 PM |
| Location |
Palenske 227 |
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April 6, 2006
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April 13, 2006
| Title |
Ants Can Pick Stocks: A Heuristic for Constructing Equity Index Funds |
| Speaker |
Danny Myers
Professor
Department of Applied Statistics and Operations Research
Bowling Green State University |
| Abstract |
An equity index fund attempts to duplicate the performance
of a selected benchmark as closely as possible. For practical reasons,
it is often desirable to achieve this with a designated number of securities.
In the operations research literature the selection of securities for
index fund construction can be formulated as a quadratic 0-1 programming
problem. Since such models are NP hard, heuristic methods are usually
required to produce (approximate) solutions in a reasonable time.
This article reports on an Ant Colony Optimization approach to selecting
securities for inclusion in an S&P 500® index fund. |
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3:10 PM |
| Location |
Palenske 227 |
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April 13, 2006
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April 13, 2006
| Title |
Statistics Science, Career, Passion, and Beyond |
| Speaker |
Arthur Yeh
Associate Professor
Department of Applied Statistics and Operations Research
Bowling Green State University |
| Abstract |
In this talk, a general
introduction of statistics
will be the main focus. Topics include statistics as a science,
its applications in diverse fields, the job prospects, and what
it takes to become a statistician. Drawing my own experience as an
undergraduate majoring in mathematics, I hope to share with you my
personal journey into statistics. I will also discuss the Master
of Science in Applied Statistics program at Bowling Green State
University. |
| Time |
3:10 PM |
| Location |
Palenske 227 |
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April 13, 2006
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April 20, 2006
| Title |
Web-Based Translation for Documenting and Preserving Languages |
| Speaker |
Martha O'Kennon
Professor Emeritus
Department Mathematics and Computer Science
Albion College
|
| Abstract |
In this talk we will demonstrate how to develop
translators in a 3-step process: parsing from source sentence to source
diagram, translating from source diagram to target diagram, then finally
formatting the target diagram into a target sentence. |
| Time |
3:10 PM |
| Location |
Palenske 227 |
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April 20, 2006
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May 4, 2006
| Title |
The Collapse of The Tacoma Narrows Bridge |
| Speaker |
Kristen Moore
Assistant Professor
Department of Mathematics
University of Michigan
|
| Abstract |
For decades, scientists in many disciplines have worked to explain
the dramatic torsional oscillations that preceded the collapse of the
Tacoma Narrows Bridge in 1940, as well as the puzzling behavior of
suspension bridges such as the Golden Gate, the Bronx-Whitestone, and
Deer Isle. The forty-year effort to control the behavior of the Deer
Isle Bridge in Maine, and the recent closing of London's Millennium
Bridge testify to the fact that the problem of controlling suspension
bridge oscillations remains unsolved.
I will discuss some popular explanations for the collapse of the
Tacoma Narrows Bridge. In addition, I will describe models for the
motion of suspension bridges that yield rich and surprising numerical
and theoretical results that explain the phenomena observed at Tacoma
Narrows on the day of its collapse. |
| Time |
3:10 PM |
| Location |
Palenske 227 |
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Flyer |
May 4, 2006
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| Speaker |
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| Abstract |
TBA |
| Time |
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| Location |
TBA |
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