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2015 IEEE 56th Annual Symposium on Foundations of Computer Science, 2015
A set function on a ground set of size n is approximately modular if it satisfies every modularity requirement to within an additive error, approximate modularity is the set analog of approximate linearity. In this paper we study how close, in additive error, can approximately modular functions be to truly modular functions.
CHIERICHETTI, FLAVIO +3 more
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A set function on a ground set of size n is approximately modular if it satisfies every modularity requirement to within an additive error, approximate modularity is the set analog of approximate linearity. In this paper we study how close, in additive error, can approximately modular functions be to truly modular functions.
CHIERICHETTI, FLAVIO +3 more
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Journal of Psycholinguistic Research, 2023
Research regarding dysgraphia, an impairment in writing, is attaining more attention in recent times. The existing studies on dysgraphia draw insights from cognitive, behavioural, neurological, and genetic fields of knowledge. However, these multiple studies on dysgraphia fail to illustrate how these cognitive, behavioural, neurological, and genetic ...
Aiswarya, G S, R Joseph, Ponniah
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Research regarding dysgraphia, an impairment in writing, is attaining more attention in recent times. The existing studies on dysgraphia draw insights from cognitive, behavioural, neurological, and genetic fields of knowledge. However, these multiple studies on dysgraphia fail to illustrate how these cognitive, behavioural, neurological, and genetic ...
Aiswarya, G S, R Joseph, Ponniah
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Nature Reviews Genetics, 2007
A network of interactions is called modular if it is subdivided into relatively autonomous, internally highly connected components. Modularity has emerged as a rallying point for research in developmental and evolutionary biology (and specifically evo-devo), as well as in molecular systems biology.
Günter P, Wagner +2 more
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A network of interactions is called modular if it is subdivided into relatively autonomous, internally highly connected components. Modularity has emerged as a rallying point for research in developmental and evolutionary biology (and specifically evo-devo), as well as in molecular systems biology.
Günter P, Wagner +2 more
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The Review of Symbolic Logic, 2018
AbstractIn a wide range of fields, the word “modular” is used to describe complex systems that can be decomposed into smaller systems with limited interactions between them. This essay argues that mathematical knowledge can fruitfully be understood as having a modular structure and explores the ways in which modularity in mathematics is epistemically ...
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AbstractIn a wide range of fields, the word “modular” is used to describe complex systems that can be decomposed into smaller systems with limited interactions between them. This essay argues that mathematical knowledge can fruitfully be understood as having a modular structure and explores the ways in which modularity in mathematics is epistemically ...
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Fundamenta Informaticae, 2006
It has been observed that various synchronisation operators underlying the modular design of concurrent systems can be explained as pullbacks in suitable categories of concurrent systems. Here, the boundaries of such approach are investigated. For this purpose we study the issue of completeness in categories of trace monoids. It turns out that (finite)
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It has been observed that various synchronisation operators underlying the modular design of concurrent systems can be explained as pullbacks in suitable categories of concurrent systems. Here, the boundaries of such approach are investigated. For this purpose we study the issue of completeness in categories of trace monoids. It turns out that (finite)
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Modular Certification of Integrated Modular Systems
2007This paper presents ongoing research into the modular certification of Integrated Modular Systems (IMS) within BAE Systems. An IMS is an open systems approach to the construction of systems from a set of standard hardware and software modules. Modular certification is the modular safety assessment of such systems. The aim is to reduce the certification
James Blow, Andrew Cox, Paul Liddell
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Progress in Neurobiology, 1991
The putative modular organization of the cerebellum can be revealed in three ways: functionally through receptive field mapping, anatomically through tract tracing studies, and biochemically by using a range of molecular probes. The present review concentrates on the last of these, the evidence for cerebellar modules that comes from molecular studies ...
R, Hawkes, C, Gravel
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The putative modular organization of the cerebellum can be revealed in three ways: functionally through receptive field mapping, anatomically through tract tracing studies, and biochemically by using a range of molecular probes. The present review concentrates on the last of these, the evidence for cerebellar modules that comes from molecular studies ...
R, Hawkes, C, Gravel
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Biosystems, 2022
The hypothesis presented here is that codes as described by Marcello Barbieri are the fundamental principle behind biological modularity. Modularity has been studied in different life science disciplines, especially in the fields of evolution and development, as well as in network biology, yet there is still no consensus on how modularity evolved ...
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The hypothesis presented here is that codes as described by Marcello Barbieri are the fundamental principle behind biological modularity. Modularity has been studied in different life science disciplines, especially in the fields of evolution and development, as well as in network biology, yet there is still no consensus on how modularity evolved ...
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The American Mathematical Monthly, 2001
Over the last 20 years, the modular function has become widely known through its miraculous intervention in two great mathematical achievements: the proof of Fermat's last theorem and the "moonshine" of the monster simple group. In both cases, the modular function appears where no one expected it, and it bridges a chasm between seemingly unrelated ...
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Over the last 20 years, the modular function has become widely known through its miraculous intervention in two great mathematical achievements: the proof of Fermat's last theorem and the "moonshine" of the monster simple group. In both cases, the modular function appears where no one expected it, and it bridges a chasm between seemingly unrelated ...
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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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