696 research outputs found

    Rigidity of p-adic cohomology classes of congruence subgroups of GL(n, Z)

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    We extend the work of Ash and Stevens [Ash-Stevens 97] on p-adic analytic families of p-ordinary arithmetic cohomology classes for GL(N,Q) by introducing and investigating the concept of p-adic rigidity of arithmetic Hecke eigenclasses. An arithmetic eigenclass is said to be "rigid" if (modulo twisting) it does not admit a nontrivial p-adic deformation containing a Zariski dense set of arithmetic specializations. This paper develops tools for explicit investigation into the structure of eigenvarieties for GL(N). We use these tools to prove that known examples of non-sefldual cohomological cuspforms for GL(3) are rigid. Moreover, we conjecture that for GL(3), rigidity is equivalent to non-selfduality.Comment: 23 page

    FLORIDA DAIRY MARKETING COOPERATIVES' TRANSFER COST ASSOCIATED WITH NON-UNIFORM DELIVERY SCHEDULES

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    The economic basis for alternative delivery schedules between Florida Dairy Marketing Cooperatives (FDMCs) and fluid milk processors are analyzed, and the costs and benefits of improved coordination between these two market stages are highlighted. The additional costs incurred by FDMCs were they to switch from a uniform delivery schedule to various non-uniform delivery schedules are discussed. The seven-day uniform delivery schedule with the 0.25discountschemeontotalvolumedecreasesFDMCsA^netrevenuesby0.25 discount scheme on total volume decreases FDMCs'Â’ net revenues by 0.1433 per hundredweight (cwt), compared to a five-day delivery schedule with no price discounts.Agribusiness,

    Monetary Policy Goals for Inflation in Australia

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    This paper outlines the inflation objective for monetary policy in Australia, which we describe as seeking to achieve a broad central tendency for inflation of between 2 and 3 per cent over the long run – a “thick point” – rather than a narrow target band. It also provides a more detailed rationale for this objective. In doing so, the paper discusses the issues relevant in determining the appropriate mean inflation rate at which policy should aim, the degree of variation of inflation around that central point, and how policy should respond to shocks. A simple model of the economy is presented which attempts to address these issues in a consistent framework.

    31P nuclear magnetic resonance spectroscopy studies of cardiac energetics and function in the perfused rat heart

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    Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Medical Engineering and Medical Physics, 1988.Includes bibliographical references.by Richard Glenn Stevens Spencer.Ph.D

    Mathematical Habits of Mind for Teaching: Using Language in Algebra Classrooms

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    The notion of mathematical knowledge for teaching has been studied by many researchers, especially at the elementary grades. Our understandings of this notion parallel much of what we have read in the literature, but are based on our particular experiences over the past 20 years, as mathematicians engaged in doing mathematics with secondary teachers. As part of the work of Focus on Mathematics, Phase II MSP, we are developing, in collaboration with others in the field, a research program with the ultimate goal of understanding the connections between secondary teachers’ mathematical knowledge for teaching and secondary students’ mathematical understanding and achievement. We are in the early stages of a focused research study investigating the research question: What are the mathematical habits of mind that high school teachers use in their professional lives and how can we measure them? The main focus of this paper is the discussion of the habit of using mathematical language, and particularly how this habit plays out in a classroom setting
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