Results 1  10
of
35,271
The mathematics of infectious diseases
 SIAM Review
, 2000
"... Abstract. Many models for the spread of infectious diseases in populations have been analyzed mathematically and applied to specific diseases. Threshold theorems involving the basic reproduction number R0, the contact number σ, and the replacement number R are reviewed for the classic SIR epidemic a ..."
Abstract

Cited by 490 (4 self)
 Add to MetaCart
Abstract. Many models for the spread of infectious diseases in populations have been analyzed mathematically and applied to specific diseases. Threshold theorems involving the basic reproduction number R0, the contact number σ, and the replacement number R are reviewed for the classic SIR epidemic
Mathematical abstraction through scaffolding
 Bergen University College
, 2004
"... This paper examines the role of scaffolding in the process of abstraction. An activitytheoretic approach to abstraction in context is taken. This examination is carried out with reference to verbal protocols of two 17 yearold students working together on a task connected to sketching the graph of ..."
Abstract

Cited by 4 (2 self)
 Add to MetaCart
situation to construct a new mathematical structure. The paper provides a brief description of the girls' joint work and the scaffolder's intervention. It then discusses how scaffolding functions and relates this to the achievement of a mathematical abstraction. BACKGROUND
Between MDPs and SemiMDPs: A Framework for Temporal Abstraction in Reinforcement Learning
, 1999
"... Learning, planning, and representing knowledge at multiple levels of temporal abstraction are key, longstanding challenges for AI. In this paper we consider how these challenges can be addressed within the mathematical framework of reinforcement learning and Markov decision processes (MDPs). We exte ..."
Abstract

Cited by 569 (38 self)
 Add to MetaCart
Learning, planning, and representing knowledge at multiple levels of temporal abstraction are key, longstanding challenges for AI. In this paper we consider how these challenges can be addressed within the mathematical framework of reinforcement learning and Markov decision processes (MDPs). We
through mathematics “abstraction ” and “construction”
"... This study is part of a broader research which will be found in future work, Psychology and epistemology of mathematical creation, complementary work of experimental research psychology mathematics, whose investigative approach, promoting the combination type cross section paradigms and quantitative ..."
Abstract
 Add to MetaCart
as a promising opening to the transition from education proficiency in math performance. At this juncture, mathematical existence as ontological approach against the background of a history of "abstraction " mathematical and theoretical observations on the abstraction, realization and other
An Ontology for Engineering Mathematics Abstract
"... We describe an ontology for mathematical modeling in engineering. The ontology includes conceptual foundations for scalar, vector, and tensor quantities, physical dimensions, units of measure, functions of quantities, and dimensionless quantities. The conceptualization builds on abstract algebra and ..."
Abstract
 Add to MetaCart
We describe an ontology for mathematical modeling in engineering. The ontology includes conceptual foundations for scalar, vector, and tensor quantities, physical dimensions, units of measure, functions of quantities, and dimensionless quantities. The conceptualization builds on abstract algebra
On the Role of Mathematical Abstractions for Scientific Computing
, 2000
"... A distinguished feature of scientific computing is the necessity to design software abstractions for approximations. The approximations are themselves abstractions of mathematical models, which also are abstractions. In this paper, the relation between different mathematical abstraction levels and s ..."
Abstract

Cited by 11 (2 self)
 Add to MetaCart
A distinguished feature of scientific computing is the necessity to design software abstractions for approximations. The approximations are themselves abstractions of mathematical models, which also are abstractions. In this paper, the relation between different mathematical abstraction levels
Modular Assembly of Intelligence by Mathematical Abstractions
, 2005
"... A mathematical abstraction is applied to model intelligence from the bottom up. Starting from an abstraction of a basic embodied match between sensations and reactions, the modelling process then integrates a relatively small number of modular building blocks to scale along a continuum from low to ..."
Abstract
 Add to MetaCart
A mathematical abstraction is applied to model intelligence from the bottom up. Starting from an abstraction of a basic embodied match between sensations and reactions, the modelling process then integrates a relatively small number of modular building blocks to scale along a continuum from low
Modular Assembly of Intelligence by Mathematical Abstractions
"... www.actcom.co.il/typographics/zippie A mathematical abstraction is applied to model intelligence from the bottom up. Starting from an abstraction of a basic embodied match between sensations and reactions, the modelling process then integrates a relatively small number of modular building blocks ..."
Abstract
 Add to MetaCart
www.actcom.co.il/typographics/zippie A mathematical abstraction is applied to model intelligence from the bottom up. Starting from an abstraction of a basic embodied match between sensations and reactions, the modelling process then integrates a relatively small number of modular building blocks
Spacetime block codes from orthogonal designs
 IEEE Trans. Inform. Theory
, 1999
"... Abstract — We introduce space–time block coding, a new paradigm for communication over Rayleigh fading channels using multiple transmit antennas. Data is encoded using a space–time block code and the encoded data is split into � streams which are simultaneously transmitted using � transmit antennas. ..."
Abstract

Cited by 1524 (42 self)
 Add to MetaCart
Abstract — We introduce space–time block coding, a new paradigm for communication over Rayleigh fading channels using multiple transmit antennas. Data is encoded using a space–time block code and the encoded data is split into � streams which are simultaneously transmitted using � transmit antennas
Quantum complexity theory
 in Proc. 25th Annual ACM Symposium on Theory of Computing, ACM
, 1993
"... Abstract. In this paper we study quantum computation from a complexity theoretic viewpoint. Our first result is the existence of an efficient universal quantum Turing machine in Deutsch’s model of a quantum Turing machine (QTM) [Proc. Roy. Soc. London Ser. A, 400 (1985), pp. 97–117]. This constructi ..."
Abstract

Cited by 574 (5 self)
 Add to MetaCart
Abstract. In this paper we study quantum computation from a complexity theoretic viewpoint. Our first result is the existence of an efficient universal quantum Turing machine in Deutsch’s model of a quantum Turing machine (QTM) [Proc. Roy. Soc. London Ser. A, 400 (1985), pp. 97
Results 1  10
of
35,271