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Modular Kinetic Analysis

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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Modular and quasi-modular arithmetic

Calcolo, 1969
The 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

1989
In 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

1988
In 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

1992
This 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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modularity

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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Modular methodology

Nature Reviews Chemistry, 2023
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Modular terpene synthesis enabled by mild electrochemical couplings

Science, 2022
Stephen Harwood   +2 more
exaly  

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