Results 251 to 260 of about 1,120,056 (288)
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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
openaire +3 more sources
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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2011
One of the liveliest debates within cognitive science and the philosophy of psychology concerns the extent to which, and in which sense, the mind is modular. Several different notions of module have been developed over the years, and clarifying the weaker and stronger notions of module is an important, substantial philosophical project.
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One of the liveliest debates within cognitive science and the philosophy of psychology concerns the extent to which, and in which sense, the mind is modular. Several different notions of module have been developed over the years, and clarifying the weaker and stronger notions of module is an important, substantial philosophical project.
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De novo design of modular and tunable protein biosensors
Nature, 2021Alfredo Quijano-Rubio +2 more
exaly