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(1995)In the first part of this thesis, we prove Ramanujan's formulas for the coefficients in the power series expansions of certain modular forms. We prove his formulas for the coefficients of 1/$E\sb4, E\sb4/E\sb6$ and other ...
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(1992)Let F$\sb{n,m}$ denote the set of all real forms of degree m in n variables. In 1888, Hilbert proved that a form P $\in$ F$\sb{n,m}$ which is positive semidefinite (psd) must have a representation as a sum of squares (sos) ...
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(1991)In this dissertation we study the representation of standard measures and contents via Loeb measures and the standard part map, extending previously known results to a nontopological setting. In addition, a characterization ...
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(1994)We are concerned with the problem of finding the least s for which every large natural number n admits a representation $n = x\sbsp{2}{2} + x\sbsp{3}{3} + \cdots + x\sbsp{s+1}{s+1}$, where the numbers $x\sb{i}$ are nonnegative ...
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(1991)As the limitations of traditional AI plan representations have become apparent, researchers have turned to temporal logic as one means of providing rich languages for structuring planning knowledge. But these languages ...
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(1993)An efficient, approximate method for computing the structural reliability of uncertain systems subjected to timevarying loads is presented in this study. The method uses response surface methodology and the fast integration ...
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