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Zoekopdracht: faculteit: "UvA" en publicatiejaar: "2000"

 Auteur Jacob Korevaar Titel Growth of power series with square root gaps Uitgever s.n. Jaar 2000 Faculteit UvA Instituut/afd. UvA: Universiteitsbibliotheek Trefwoord Borel summability, growth of entire functions, high indices theorems, lacunary series, M\"{u}ntz formula, square root gaps, Tauberian theory, weighted $L;\infty$ approximation. Samenvatting For entire functions $f$ whose power series have Hadamard gaps with ratio $\alpha$ $(>1)$, Gaier has shown that the condition $|f(x)|\le e^x$ for $x\ge 0$ implies $|f(z)|\le C_\alpha e^{|z|}$ $(*)$ for all $z$. Here the result is extended to the case of square root gaps, that is, $f(z)=\sum b_{p_k}z^{p_k}$ with $p_{k+1}-p_k\ge \alpha \sqrt{p_k}$ where $\alpha>0$. Smaller gaps cannot work. In connection with his proof of the general high indices theorem for Borel summability, Gaier had shown that square root gaps imply $b_n={\cal O}(e^{c\sqrt n}/n!)$. Having such an estimate, one can adapt Pitt's Tauberian method for the restricted Borel high indices theorem to show that, in fact, $|b_n|\le c_\alpha\sqrt n/n!$ which implies $(*)$. The author also states an equivalent distance formula involving monomials $x^{p_k}e^{-x}$ in $L^\infty(0,\infty)$.SR4490120519891989Gezin, school en ontwikkelingen in intelligentie tussen zes en twaalf jaar.111624N.R. 4411181191uva/uba/fmg/pow124790Guldemond;;H.;;1001911;1;01;95004000;;;01;01;01-01-1987Boomsma;;A.;;4500120519891989De maatschappelijke positie van oud-lom-leerlingen.31478514619302320uva/uba/fmg/pow124791Drenth;;H.;;1001911;1;01;95004000;;;01;01;01-01-19874510320519941994The lex talionis: On vengeance239289uva/uba/fmg/psychHillsdale, NJLawrence Erlabum Associates0805812075Emotions: Essays on emotion theory1162221003421;1;03;94004000;;;01;06;12-10-1992Goozen;;S.H.M.;Poll;van de;Nanne;4520120520032003A further look at the language-as-fixed-effect fallacy.289586573141151uva/uba/fmg/psych11821002311;1;01;94004000;;;01;01;01-09-1992The proper analysis of experiments using language materials has been a source of controversy and debate among researchers. We summarize the main issues and discuss the solutions that have been presented. Even though the major issues have been dealt with extensively in the literature, there still exists quite a bit of confusion about how to analyze the data from such experiments. We discuss a number of the most frequently voiced objections. In particular, we discuss the issue of what happens if in a counterbalanced design only some of the items show the treatment effect. Finally, a possible solution is discussed for the case where only partial matching of items between conditions is possible.4530120519981998Functional connectivity within the visual cortex of the rat shows state changes.1144751041814901507uva/uba/fmg/psych120319Togt;van der;C.;;1001687;1;02;13000000;13040000;13200800;14;01;01-01-1994Spekreijse;;H.;prof. dr.;The aim of this study was to investigate the dynamics of the horizontal functional connectivity within the visual cortex during spontaneous activity or during visual stimulation. Two arrays of 16 electrodes were inserted in the visual cortex of a rat. From these electrodes a depth profile was Obtained of the local spiking activity. The crosscorrelations between all electrodes were estimated. Three types of cross-correlation peaks were identified and classified as; 'thin peaks', 'fast waves' and 'slow waves'. Partialization was applied, a mathematical method to reduce the amount of common input in correlations, and its effect on the three types of correlation peaks was studied. Slow waves were found to be the most vulnerable to partialization and thin peaks the least. From these observations it was concluded that the three types of peaks represent synchronous neuronal assemblies of different magnitude; slow waves large, fast waves intermediate and thin peaks assemblies composed of small numbers of neurons.Large changes were observed in the types of cross-correlations and their spatial distribution within the set of interarray combinations of electrodes. These changes were spontaneous, and could not be related to the visual simulation. Two states were identified; the 'thin-peak' state and the 'slow-wave' state. The 'thin-peak' state is interpreted as occurring at a light level of anaesthesia and is characterized by the presence of thin peaks in all Soort document Rapport Download document/1335 Document finder