820 resultados para Maximal Trade


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l Suppose that X, Y. A and B are Banach spaces such that X is isomorphic to Y E) A and Y is isomorphic to X circle plus B. Are X and Y necessarily isomorphic? In this generality. the answer is no, as proved by W.T. Cowers in 1996. In the present paper, we provide a very simple necessary and sufficient condition on the 10-tuples (k, l, m, n. p, q, r, s, u, v) in N with p+q+u >= 3, r+s+v >= 3, uv >= 1, (p,q)$(0,0), (r,s)not equal(0,0) and u=1 or v=1 or (p. q) = (1, 0) or (r, s) = (0, 1), which guarantees that X is isomorphic to Y whenever these Banach spaces satisfy X(u) similar to X(p)circle plus Y(q), Y(u) similar to X(r)circle plus Y(s), and A(k) circle plus B(l) similar to A(m) circle plus B(n). Namely, delta = +/- 1 or lozenge not equal 0, gcd(lozenge, delta (p + q - u)) divides p + q - u and gcd(lozenge, delta(r + s - v)) divides r + s - v, where 3 = k - I - in + n is the characteristic number of the 4-tuple (k, l, m, n) and lozenge = (p - u)(s - v) - rq is the discriminant of the 6-tuple (p, q, r, s, U, v). We conjecture that this result is in some sense a maximal extension of the classical Pelczynski`s decomposition method in Banach spaces: the case (1, 0. 1, 0, 2. 0, 0, 2. 1. 1). (C) 2009 Elsevier Inc. All rights reserved.

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We consider the problem of classifying those groups whose maximal cyclic subgroups are maximal. We give a complete classification of those groups with this property and which are either soluble or residually finite.

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A group of twelve students are learning how to work on telephone poles at the New York Trade School. Black and white photograph with some minor damage to the image in the bottom left hand corner.

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A group of administrators from the New York Trade School posing in front of a building. Black and white photograph.

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A group of administrators from the New York Trade School pose in front of the school's building on East 67th Street. The photograph is black and white.

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This black and white photograph features two administrators positioned at desk.

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A New York Trade School administrator is posed for a formal photo. Black and white photograph.

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This New York Trade School administrator is posed in front of a wall plaque dedicated to the founder of the school. Photograph is black and white.

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A group of four students are working in a classroom at the New York Trade School while a professor looks on.

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This black and white photograph shows students at work benches in part of the carpentry workshop at the New York Trade School. Beyond the benches two students can be seen working on framing in the rear of the classroom.

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Students, likely studying carpentry, are shown working on the roof of a model of a house in a classroom at the New York Trade School. Black and white photograph.

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An empty classroom is shown here at the New York Trade School. This was likely a piano tuning classroom. Black and white photograph with some damage around the edges.

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This photograph shows several empty tables and a few shelves in the library at the New York Trade School. Black and white photograph.

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A piano player is shown performing at the New York Trade School. He is likely playing on a piano tuned or built by students in the Piano Crafts Department at the school. Black and white photograph.

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This black and white photograph shows classroom space of the Air Conditioning/Refrigeration Dept. empty of students. Black and white photograph.