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Localization of multiple dipoles: Mathematical programming approaches

Brain Topography, 1989
Although there has been progress in EEG and evoked potential analysis, the identification of underlying neural activity has eluded researchers despite its importance. This paper introduces the application of mathematical programming techniques to the "inverse" problem of three-dimensional localization of brain activity from scalp potentials ...
K D, Pool   +3 more
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A Journey to a Mathematical Frontier with Multiple Computer Tools

Technology, Knowledge and Learning, 2011
called the Golden Ratio.The goal of this article is to demonstrate how the integration of multiple software toolsinto a familiar educational context of Fibonacci numbers allows for the discovery of newmathematical knowledge. It is a snapshot of the authors’ recent work (Abramovich andLeonov 2008, 2009a, b) on the development of technology-motivated ...
Sergei Abramovich, Gennady A. Leonov
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SIMPLIFIED MATHEMATICS FOR MULTIPLE BIOASSAYS

Acta Endocrinologica, 1960
ABSTRACT Gaddum's simplified system of computation for the analysis of biological parallel-line assays is extended to the assay of several unknown preparations simultaneously against the same standard, using up to four dose levels of each preparation.
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Multiple Objectives in Mathematical Programming

Operations Research, 1958
The abstraction from a real situation to a model suitable for mathematical programming often raises the dilemma of multiple objective functions, and of the arbitrary roles of objective functions and restrictions. This dilemma is resolved by formulating a more general model of the total objective function.
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The Mathematics of Fountain Design:

Teaching Mathematics and its Applications, 2013
Teachers of mathematics recognize the difficulty of reaching every student when the range of student abilities puts a considerable strainon the classroom discussion and time. In a response to the porblem, students are grouped so that those with greater mathematical aptitue help those who have difficulties.
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A Mathematical Analysis of Elliptic Curve Point Multiplication

2014
This work presents a mixed-coordinate system based elliptic curve point multiplication algorithm. It employs the width-w Non-Adjacent Form (NAF) algorithm for point multiplication and uses the Montgomery trick to pre-compute the odd points P i = iP for i = 1, 3, ⋯ , 2 w − 1 with only one field inversion.
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Challenging Mathematics with Multiple Solution Tasks and Mathematical Investigations in Geometry

2014
In this chapter, I analyze multiple solution tasks (MSTs) and mathematical investigations (MIs) and the interplay between them. I argue that MSTs and MIs are effective instructional tools for balancing the level of mathematical challenge in the mathematics classroom and, thus, for realizing students’ mathematical potential at different levels ...
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