In this paper, an innovative student seminar-based classroom practice is reported. The instructional process was illustrated by student-oriented theoretical inquiry of interested topics combined with traditional and emerging applications. Specifically, under the careful guidance of the instructor, every student or student group chose an EM topic of their interest and presented to the class; whi...

Date Article Presenter(s) September 15 overview, initial planning Komei Fukuda September 22 fixing teams and planning Komei Fukuda September 29 Preparation (no seminar) October 6 QP duality [5] team 1 (Bausch and Heins) October 13 LCP classics [6, pages 103-114] team 2 (Buchmann and Mishra) October 20 LCP classics [6, pages 114-124] team 3 (Akeret) October 27 NP-completeness [4] [20, Section 3....

The law of large numbers says that the sum of independent random variables is close to its expected value with high probability. In this talk, I will present a quantitative statement of this sort and demonstrate how this concentration phenomenon can be applied to problems in analysis. 1. Concentration around the expected value The most important statistical measure of a (real) random variable X...

We discuss the following problem: given φ ∈ L2(R) and a sequence Λ ⊂ R, is it possible that the system of translates {φ(x − λ)}λ∈Λ spans the whole space, and how sparse the spectrum Λ might be? 1. Systems of translates 1.1. Let a function φ ∈ L(R) and a discrete sequence Λ ⊂ R be given. We are interested to know if the system of translates {φ(x− λ)}λ∈Λ (1.1) is complete in L(R), that is, if the...

Let S be a bounded set and f be a signal with spectrum in S. We are interested in reconstruction of f from “samples”, that is from its values on some discrete set. It is usually in question whether the signal is uniquely determined by the samples, and whether it can be reconstructed in a stable manner. I will focus on another problem, namely : is it possible to expand f with respect an orthonor...

A function, or a signal as electrical engineers like to call it, can be decomposed as a sum, possibly infinite, of sines and cosines, called its Fourier series expansion. The coefficients in this decomposition represent the various frequencies that are present in the signal. However the Fourier expansion fails to give information on what part of the function the frequencies come from. Thus if a...

In this paper, some of the recent advances in the concept of FPGA is presented, which is a presentation made as a part of the UG seminar work. Designing hardware with Field-Programmable Gate Arrays (FPGAs) avoids the higher non-recurring engineering costs and longer development times of Mask-Programmed Gate Array (MPGA) solutions. These two key advantages, shorter design cycles and lower develo...

1272 NOTICES OF THE AMS VOLUME 42, NUMBER 11 I n the late 1970s, when I was a student at Stanford University, I attended a seminar run by Bob Osserman on eigenvalue problems—more specifically—bounds for eigenvalues. This seminar was instructive for me and my fellow students. It kindled my keen interest in spectral geometry. One of the results reported in this seminar was due to Osserman; I woul...

Background: Failure in reaching the predetermined goals of education can be considered as one of the most important problems of educational systems. Today, it is believed that active teaching methods are more effective than lecturing which lead to effective teaching. Participation of students in education is one of the major factors of active learning. The purpose of the present study is to det...

• Power plants, transmission lines and customers are distributed irregularly • Generation and transmission costs, as well as demand functions of customers differ by location • Transmission constraints may give market power for some firms in some regions S ystems Analysis Laboratory Helsinki University of Technology Student presentation Seminar on Modelling Electricity Markets 1998 / 6 Why two m...