Results 251 to 260 of about 212,419 (273)
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Modular points, modular curves, modular surfaces and modular forms
1985[For the entire collection see Zbl 0547.00007.] \\par This is the written version of a talk at the Arbeitstagung at Bonn. It is centered around one example: the modular curve X\\sb 0(37). The elliptic curve E:\\quad y(y-1)=(x+1)x(x-1) is a factor of the Jacobian J\\sb 0(37).
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Since its inception in the 1990s, research on modularity has expanded along changes in technological markets, such as the increasing pace of innovation and the reduction in prior forms of coordination. One main contribution of research has been to show numerous instances of modularity’s influence on competition.
Kogeyama, Renato +4 more
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Kogeyama, Renato +4 more
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Engineering in Medicine, 1975
A wheelchair designed primarily with children in mind, but also eminently suitable for the differing needs of disabled adults, is the result of several years' work by two design students
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A wheelchair designed primarily with children in mind, but also eminently suitable for the differing needs of disabled adults, is the result of several years' work by two design students
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2008
Modular forms are functions with an enormous amount of symmetry that play a central role in number theory, connecting it with analysis and geometry. They have played a prominent role in mathematics since the 19th century and their study continues to flourish today.
Edixhoven, B. +2 more
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Modular forms are functions with an enormous amount of symmetry that play a central role in number theory, connecting it with analysis and geometry. They have played a prominent role in mathematics since the 19th century and their study continues to flourish today.
Edixhoven, B. +2 more
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IEEE Transactions on Computers, 1968
Abstract—A new class of modular networks, called "modular tree networks," is presented. In these circuits every input of the first-level gate is connected to the output of a different second-level unit, and, in general, every input of every ith-level unit is connected to the output of a different (i+1)th-level unit.
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Abstract—A new class of modular networks, called "modular tree networks," is presented. In these circuits every input of the first-level gate is connected to the output of a different second-level unit, and, in general, every input of every ith-level unit is connected to the output of a different (i+1)th-level unit.
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2011
Modularization is an important strategy to tackle the study of complex biological systems. Modular kinetic analysis (MKA) is a quantitative method to extract kinetic information from such a modularized system that can be used to determine the control and regulatory structure of the system, and to pinpoint and quantify the interaction of effectors with ...
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Modularization is an important strategy to tackle the study of complex biological systems. Modular kinetic analysis (MKA) is a quantitative method to extract kinetic information from such a modularized system that can be used to determine the control and regulatory structure of the system, and to pinpoint and quantify the interaction of effectors with ...
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Modular and quasi-modular arithmetic
Calcolo, 1969The conventional modular arithmetic is but a particular case of a more general class of solutions. In the case of addition the class of modular solutions is not too numerous; on the contrary, the modular solutions for multiplication are very many and the conventional modular arithmetic appears not to be among the best solutions, because of the ...
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Modular Groups and Modular Forms
1989In this chapter, we explain the general theory of modular forms. In §4.1, we discuss the full modular group SL 2(ℤ) and modular forms with respect to SL 2(ℤ), as an introduction to the succeeding sections. We define and study congruence modular groups in §4.2. In §4.3, we explain the relation between modular forms and Dirichlet series obtained by Hecke
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Modular Curves on Modular Surfaces
1988In this chapter we introduce the modular curves on Hilbert modular surfaces. It is the presence of these curves that makes the geometry and arithmetic of these surfaces so rich. If one considers the surface (PSL(2, ℤ)\ℌ)2 as a degenerate Hilbert modular surface, then on this surface the modular curves are just the Hecke correspondences T N .
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Modular Automorphisms and Modular Conjugation
1992This section is a mathematical digression. It is devoted to the Tomita-Takesaki theorem and consequences thereof. This theorem is a beautiful example of “prestabilized harmony” between physics and mathematics. On the one hand it is intimately related to the KMS-condition. On the other hand it initiated a significant advance in the classification theory
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