When: Tuesday November 26, 2013
Talk Title:
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Population Dynamics
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Speaker:
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Jimmy Espinoza
(Mentor: Dr. Shenglan Yuan)
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Do you ever wonder if the population of Manhattan will someday become unbearably overcrowded? What are the current trends in population growth in Manhattan? For example, how does the daytime population compare to the nighttime population? To answer this question, we’ll explore what mathematical tools are needed to model and predict the long-time trends of Manhattan’s population.
Talk Title:
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TaxiCab Geometry
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Speaker:
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Mingyuan Gao
(Mentor: Dr. Shenglan Yuan)
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TaxiCab Geometry is a simple real-life example of a kind of non-Euclidean geometry. Instead of measuring the distance of two points by straight line segment between two points, Taxicab geometry measures distance by following the lines of grids. We’ll examine and compare some geometrical properties between Euclidean geometry and TaxiCab Geometry.
Talk Title:
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Recent Discoveries in Quantum Computing
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Speaker:
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James Simko
(Mentor: Dr. Reem Jaafar)
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Advances in computing have been based on shrinking transistors to produce faster processors capable of more calculations per second thus far. However, computing power cannot be increased indefinitely in this manner. There is a definite limit to these advances; the atomic width of a semi conductor.
One possible replacement for conventional transistor computers is a quantum computer: a computer based on quantum bits or qubits. Unlike conventional bits, which have discrete values, a qubit can have values 0 or 1 or a superposition of both.
In this talk we will discuss recent discoveries in quantum computing, the potential of a quantum computer to solve computationally intense problems such as Ramsey numbers as well as what a Ramsey number is.
Talk Title:
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Let’s celebrate Chaos!
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Speaker:
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Denis Radoncic
(Mentor: Dr. Reem Jaafar)
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Chaos just turned 50 this year! This presentation will provide a brief history of chaos and several out of this world applications such as the double pendulum, the rings of Saturn, and more recent advances in communications such as sending secret messages.
We will also show some results in the effort to discover chaos in nanosystems.
A Special Thanks to our funding agencies: The PSC-CUNY & The City University of New York through the traditional A grant and the Mathematical Association of America Through the MAA-MAXIMA grant.