Given a rational point on a curve in a rational isogeny class, a natural question concerns the field of definition of its pre-images. The multiplication by m endomorphism is a powerful and much-used tool. The pre-images for this map are found by factorizing a monic polynomial of degree m. For m = 2, Everest and King gave examples where the existence of a quadratic factor coincided with the exis...

In this paper we investigate colorings of sets avoiding similarly colored subsets. If S is an arbitrary colored set and T is a "xed family of bijections of S to itself, then two subsets A; B ⊆ S are said to be colored similarly with respect to T, if there exists a transformation t ∈T mapping A onto B, and preserving a coloring of A. This general setting covers some well-known topics such as non...

Let X be a convex curve in the plane (say, the unit circle), and let S be a family of planar convex bodies, such that every two of them meet at a point of X. Then S has a transversal N ⊂ R of size at most 1.75 · 10. Suppose instead that S only satisfies the following “(p, 2)-condition”: Among every p elements of S there are two that meet at a common point of X. Then S has a transversal of size ...

Let T : C(S) → C(S) be a bounded linear operator. We present a necessary and sufficient condition for the so-called Daugavet equation ‖Id+ T ‖ = 1 + ‖T ‖ to hold, and we apply it to weakly compact operators and to operators factoring through c0. Thus we obtain very simple proofs of results by Foiaş, Singer, Pe lczyński, Holub and others. If E is a real Banach space, let us say that an operator ...

Salah satu hal penting dalam analisis statistik adalah prosedur estimasi suatu fungsi padat peluang yang biasa disebut densitas. Ada dua metode pendekatan biasanya digunakan, yaitu parameter terkait dengan asumsi distribusi tertentu dan densitas secara non parametrik. Metode parametrik sering kita jumpai histogram.
 Beberapa kelemahan histogram menjadi acuan untuk dikembangkannya lain kern...

a Department of Psychology, School of Life & Health Sciences, Aston University, Birmingham B4, 7ET, UK b Eclectica, Institute for Training and Research, via Silvio Pellico, 1 10125, Torino, Italy c Department of Sociology, University of Copenhagen, Øster Farimagsgade 5, 1014 Copenhagen K, Denmark d Department of Education and Psychology, Freie Universität Berlin, AB Gesundheitspsychologie, PF 1...

Allen, A. & Snary, D. (1972) Gut 13, 666-672 Florey, H. W. (1962) Gastroenterology 43, 326-329 Jencks, W. P. (1969) Catalysis in Chemistry and Enzymology, p. 393, McGraw-Hill , London Snary, D. & Allen, A. (1971) Biochem. J . 123, 845-853 Snary, D. & Allen, A. (1972) Biochem. J . 127, 577-587 Snary, D., Allen, A. & Pain, R. H. (1971) Eur. J . Biochem. 24, 183-189 Snary, D., Allen, A. & Pain, R....

Nelson algebras were first studied by Rasiowa and BiałynickiBirula [1] under the name N-lattices or quasi-pseudo-Boolean algebras. Later, in investigations by Monteiro and Brignole [3, 4], and [2] the name “Nelson algebras” was adopted – which is now commonly used to show the correspondence with Nelson’s paper [14] on constructive logic with strong negation. By a Nelson algebra we mean an abstr...

Jonathan K. Nelson & Richard J. Zeckhauser: The Patron's Payoff is published by Princeton University Press and copyrighted, © 2008, by Princeton University Press. All rights reserved. No part of this book may be reproduced in any form by any electronic or mechanical means (including photocopying, recording, or information storage and retrieval) without permission in writing from the publisher, ...

Beatty (1982) claims that the pattern philosophy of the cladistic method is antagonistic to evolutionary theory. I show that the pattern philosophy is consistent with evolution if one takes into account the nature of hierarchical systems, as elucidated by Allen and Starr (1982). A surprising correspondence is revealed between the hierarchy theory of Allen and Starr (1982) and the pattern philos...