On irregularities of distribution of real sequences

On Irregularities of Distribution

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Irregularities of Distribution of Digital (0,1)-sequences in Prime Base

In this paper, as an application of our recent results to appear elsewhere [5], we compare digital (0, 1)-sequences generated by nonsingular upper triangular matrices in arbitrary prime bases to van der Corput sequences and show these last ones are the worst distributed with respect to the star discrepancy, the extreme discrepancy, the L2-discrepancy and the diaphony. Moreover, we obtain digita...

On Irregularities of Distribution Iii

Dedicated to the memory of Gerold Wagner Abstract We study the L w -norm (2 < W < oo) of the discrepancy of a sequence of points in the unit cube relative to similar copies of a given convex polygon. In particular, we prove the rather surprising result that the estimates obtained have the same order of magnitude as the analogous question when the sequence of points is replaced by a set of point...

Note on Irregularities of Distribution

effect of oral presentation on development of l2 learners grammar

this experimental study has been conducted to test the effect of oral presentation on the development of l2 learners grammar. but this oral presentation is not merely a deductive instruction of grammatical points, in this presentation two hypotheses of krashen (input and low filter hypotheses), stevicks viewpoints on grammar explanation and correction and widdowsons opinion on limited use of l1...