Results 1 to 10 of about 10,789 (282)

Irreducible continua and generalization of hereditarily unicoherent continua by means of membranes [PDF]

Journal of the Australian Mathematical Society, 1965
In [2] we defined an irreducible B(J)-cartesian membrane, and used this to obtain a characterization of an n-sphere by generalizing the definition of simple closed curve given by Theorem 1.2 below. There B(J) is a class A(n) of (n−1)-spheres, but here it is a class of mutually homeomorphic continua.
Dickman, Raymond F., Rubin, Leonard R., Swingle, P. M.   +2 more
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Generalized Beams and Continua. Dynamics of Reticulated Structures [PDF]

, 2010
This paper deals with the dynamic behavior of periodic reticulated beams and materials. Through the homogenization method of periodic discrete media the macro-behavior is derived at the leading order. With a systematic use of scaling, the analysis is performed on the archetypical case of symmetric unbraced framed cells.
Boutin, Claude, Hans, Stéphane, Chesnais, Céline   +2 more
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A Burgessian critique of nominalistic tendencies in contemporary mathematics and its historiography [PDF]

, 2012
We analyze the developments in mathematical rigor from the viewpoint of a Burgessian critique of nominalistic reconstructions. We apply such a critique to the reconstruction of infinitesimal analysis accomplished through the efforts of Cantor, Dedekind ...
A. Alexander, A. H. Lightstone, A. Heyting, A. k. Weil, A. Robinson, A. Sfard, A.L. Cauchy, B.L. Waerden van der, Bruce Pourciau, Bruce Pourciau, C. Boyer, C. Jensen, D. Bridges, D. Fearnley-Sander, D. H. Fowler, D. Laugwitz, D. Laugwitz, D. Laugwitz, D. Sepkoski, D. Sherry, D. Sherry, D. Tall, D. Tall, E. B. Davies, E. Bishop, E. Cousquer, E. Hewitt, E. Nelson, F. Richman, F. Smithies, G. Hellman, G. Hellman, G. Kreisel, G. M. Reyes, H. Billinge, H. Billinge, H. Breger, H. Freudenthal, H. Freudenthal, H. Meschkowski, H. Sinaceur, I. Barrow, J. Avigad, J. Bell, J. Burgess, J. Burgess, J. Burgess, J. Grabiner, J. Grabiner, J. Pierpont, J. Stillwell, K. Bråting, K. Katz, K. Rappaport, Karin Usadi Katz, L. A. Sad, L. Arkeryd, L. Arkeryd, L. Magnani, M. Dummett, M. Dummett, M. Mahoney, M. Moore, M. Moore, M. Muntersbjorn, Mikhail G. Katz, N. Cutland, P. Davis, P. Ehrlich, P. Giordano, P. Roquette, P.E.B. Jourdain, R. Dossena, R. Ely, R. Goldblatt, S. Gandz, S. Shapiro, S. Shapiro, S. Yablo, W. Ewald, W. Tait, W. Vincenti   +81 more
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Structural Dynamics and Generalized Continua [PDF]

, 2011
This paper deals with the dynamic behavior of reticulated beams made of the periodic repetition of symmetric unbraced frames. Such archetypical cells can present a high contrast between shear and compression deformability, conversely to “massive” media.
Céline Chesnais, Claude Boutin, Stéphane Hans   +2 more
openaire   +1 more source

Stevin numbers and reality [PDF]

, 2012
We explore the potential of Simon Stevin's numbers, obscured by shifting foundational biases and by 19th century developments in the arithmetisation of analysis.Comment: 22 pages, 4 figures.
A. H. Lightstone, A. L. Cauchy, A. Malet, A. Robinson, A. Tarski, A.-L. Cauchy, B. L. Waerden van der, C.S. Peirce, C.S. Peirce, D. Fearnley-Sander, D. H. Fowler, D. Laugwitz, D. Laugwitz, D. Laugwitz, D. Laugwitz, D. Sherry, D. Tall, D. Tall, E. Hewitt, G. Hellman, G. Lakoff, G. Schubring, H. Freudenthal, H. Sinaceur, J. Bair, J. Burgess, J. Dauben, J. Dauben, J. Havenel, J. L. Bell, K. Bråting, K. Katz, Karin Usadi Katz, L. Arkeryd, L. Arkeryd, L. Magnani, M. Moore, M. Moore, Mikhail G. Katz, N. Cutland, P. Ehrlich, P. Roquette, R. Dossena, R. Ely, R. Goldblatt, S. Gandz, Th. Skolem   +46 more
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Magnetic control of the pair creation in spatially localized supercritical fields [PDF]

, 2012
We examine the impact of a perpendicular magnetic field on the creation mechanism of electron-positron pairs in a supercritical static electric field, where both fields are localized along the direction of the electric field.
Grobe, R., Jiang, M., Lu, X., Lv, Q.Z., Sheng, Zheng-Ming, Su, Q., Su, W.   +6 more
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Dislocations and Cracks in Generalized Continua [PDF]

, 2018
Dislocations play a key role in the understanding of many phenomena in solid state physics, materials science, crystallography and engineering. Dislocations are line defects producing distortions and self-stresses in an otherwise perfect crystal lattice.
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Green’s functions and integral representation of generalized continua: the case of orthogonal pantographic lattices [PDF]

Zeitschrift für angewandte Mathematik und Physik, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
C. Boutin, F. dell'Isola
openaire   +2 more sources

Plastic bifurcation and postbifurcation analysis for generalized standard continua [PDF]

Journal of the Mechanics and Physics of Solids, 1989
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Nguyen, Son Q., Triantafyllidis, Nicolas
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On a hierarchy of nonlinearly dispersive generalized KdV equations

, 2015
We propose a hierarchy of nonlinearly dispersive generalized Korteweg--de Vries (KdV) evolution equations based on a modification of the Lagrangian density whose induced action functional the KdV equation extremizes. It is shown that two recent nonlinear
Christov, Ivan C.
core   +1 more source