Optimization and Control of Agent
... how to effectively control the real-world referent. At the very least, this process can provide a first approximation of the set of putative controls. This rationale leads us to the following: Main hypothesis If an ABM is treated not as a model of a system of interest but as the system itself, then ...
... how to effectively control the real-world referent. At the very least, this process can provide a first approximation of the set of putative controls. This rationale leads us to the following: Main hypothesis If an ABM is treated not as a model of a system of interest but as the system itself, then ...
Physics by analogy
... beyond sensory perception, from colliding atoms to colliding galaxies. It is commonly employed when communicating with non-scientists, to make physics accessible and memorable. But analogy can also be used to explore new research areas and to explain novel ideas to colleagues. Examples of analogies ...
... beyond sensory perception, from colliding atoms to colliding galaxies. It is commonly employed when communicating with non-scientists, to make physics accessible and memorable. But analogy can also be used to explore new research areas and to explain novel ideas to colleagues. Examples of analogies ...
... In this section, we shall investigate the direction of the Hopf bifurcation and the stability of bifurcating periodic solution of system 1.4 w.r. to τ1 for τ2 ∈ 0, τ20 , and τ20 is defined by 2.29. The idea employed here is the normal form and center manifold theory described in Hassard et al. ...
Jin Feng - Department of Mathematics
... 2 L. Ambrosio and J. Feng, On a class of first order Hamilton-Jacobi equation in metric spaces. Journal of Differential Equations, Vol 256, Issue 7, 2194-2245, 2014. (51 pages) 3 J. Feng and A. Swiech, Optimal control for a mixed flow of Hamiltonian and gradient type in space of probability measures ...
... 2 L. Ambrosio and J. Feng, On a class of first order Hamilton-Jacobi equation in metric spaces. Journal of Differential Equations, Vol 256, Issue 7, 2194-2245, 2014. (51 pages) 3 J. Feng and A. Swiech, Optimal control for a mixed flow of Hamiltonian and gradient type in space of probability measures ...
Recognition of On-Line Handwritten Commutative Diagrams
... We presented a new method for the recognition of onhand written mathematical diagrams. We used an optimization approach that considers local and global features of the groupings in the diagram. This approach is more robust and handles local writing irregularities. Figure 5 shows two examples of reco ...
... We presented a new method for the recognition of onhand written mathematical diagrams. We used an optimization approach that considers local and global features of the groupings in the diagram. This approach is more robust and handles local writing irregularities. Figure 5 shows two examples of reco ...
Geophysics
... ONE OF: Seismology and the Physical Structure of the Earth Signal Processing in Geophysics ...
... ONE OF: Seismology and the Physical Structure of the Earth Signal Processing in Geophysics ...
pisa 2012 mathematics framework
... solvers will engage. Formulating mathematics involves identifying opportunities to apply and use mathematics – seeing that mathematics can be applied to understand or resolve some problem, or ...
... solvers will engage. Formulating mathematics involves identifying opportunities to apply and use mathematics – seeing that mathematics can be applied to understand or resolve some problem, or ...
CV - Claremont McKenna College
... Monte Carlo simulation for statistical applications, approximation algorithms, and numerical integration. Design and analysis of new sampling methods that draw variates exactly from high-dimensional target distributions, and more efficient methods for utilizing these samples. ...
... Monte Carlo simulation for statistical applications, approximation algorithms, and numerical integration. Design and analysis of new sampling methods that draw variates exactly from high-dimensional target distributions, and more efficient methods for utilizing these samples. ...
A bibliography for the development of an intelligent mathematical
... analysis increased not only with need, but also with new technologies that render such demands achievable, notably database concepts, artificial intelligence and graphics. One of the differences between the traditional and modem languages is that the latter are algebraic. What makes a language algeb ...
... analysis increased not only with need, but also with new technologies that render such demands achievable, notably database concepts, artificial intelligence and graphics. One of the differences between the traditional and modem languages is that the latter are algebraic. What makes a language algeb ...
Measuring the Economic Benefits of Mathematical Science
... high-end mathematics research, as carried out by academic institutions, research centres, businesses, individuals and Government, that adds to the store of accumulated mathematical knowledge. Individuals in mathematical science occupations are in occupations which either entail mathematical science ...
... high-end mathematics research, as carried out by academic institutions, research centres, businesses, individuals and Government, that adds to the store of accumulated mathematical knowledge. Individuals in mathematical science occupations are in occupations which either entail mathematical science ...
Introduction to Mathematics
... Technology Assisted Learning in Primary Mathematics Issues in Primary Mathematics Education ...
... Technology Assisted Learning in Primary Mathematics Issues in Primary Mathematics Education ...
Mathematical Methods for Physics III (Hilbert Spaces)
... Hamel basis: Maximal l.i. set. Unique cardinal (linear dimension). Unique linear expansion of elements of L in terms of elements of B. Directa sum of subspaces: sum of subspaces with null intersection (to the sum of the remaining subspaces). ...
... Hamel basis: Maximal l.i. set. Unique cardinal (linear dimension). Unique linear expansion of elements of L in terms of elements of B. Directa sum of subspaces: sum of subspaces with null intersection (to the sum of the remaining subspaces). ...
MATHEMATICS, DEMOCRACY AND THE AESTHETIC
... without human interference. Mathematicians such as Hardy (1940) have described some aesthetic consequences of this view, including the value of pursuing pure mathematics only and resisting the temptation of applications outside mathematics. Hardy, as well as several of his contemporaries, has also e ...
... without human interference. Mathematicians such as Hardy (1940) have described some aesthetic consequences of this view, including the value of pursuing pure mathematics only and resisting the temptation of applications outside mathematics. Hardy, as well as several of his contemporaries, has also e ...
mathematics (mat) - Wisconsin Lutheran College
... placement on the basis of high school grades, ACT/SAT scores, placement testing, and (if necessary) personal interview. ...
... placement on the basis of high school grades, ACT/SAT scores, placement testing, and (if necessary) personal interview. ...
Bachelier`s Predecessors - Efficient Market Hypothesis
... of view was written by Louis Bachelier. It has been seen and allowed for publication in January 1900 by Jean Darboux the dean of the Paris Faculty of Science and was published inmediately in February (see S4], 1]). It is interesting how Bachelier derived the law of probability of relative prices i ...
... of view was written by Louis Bachelier. It has been seen and allowed for publication in January 1900 by Jean Darboux the dean of the Paris Faculty of Science and was published inmediately in February (see S4], 1]). It is interesting how Bachelier derived the law of probability of relative prices i ...
PowerPoint 演示文稿 - Dr Wang Xingbo`s Website
... Piola-Kirchhoff stress tensor The first Piola-Kirchhoff stress tensor, denoted s Mj, represents the force acting on an element of surface in the deformed configuration but measured per unitundeformed area. The first index is written in uppercase as it refers to the normal of the surface in the undef ...
... Piola-Kirchhoff stress tensor The first Piola-Kirchhoff stress tensor, denoted s Mj, represents the force acting on an element of surface in the deformed configuration but measured per unitundeformed area. The first index is written in uppercase as it refers to the normal of the surface in the undef ...
Solving Some Economic Model with Fuzzy and Random Data Theory:
... received the attention it merits. See for instance Czogala [1], [2] where the concept of probabilistic set is exploited, Yazenin [3], Roubens and Teghem [4] where comparison between fuzzy and stochastic approaches is discussed without any attempts for integration and Luhandjula [5] where a laconic d ...
... received the attention it merits. See for instance Czogala [1], [2] where the concept of probabilistic set is exploited, Yazenin [3], Roubens and Teghem [4] where comparison between fuzzy and stochastic approaches is discussed without any attempts for integration and Luhandjula [5] where a laconic d ...
our answer - Guerino Mazzola
... counterpoint consonances (which were chosen according to musical practice) modulo octave is a mathematical fact, and practically all of the conclusions of Mazzola’s model result from it. Tymoczko never refers to this part of the model, except that he claims that the symmetries of the model are “dee ...
... counterpoint consonances (which were chosen according to musical practice) modulo octave is a mathematical fact, and practically all of the conclusions of Mazzola’s model result from it. Tymoczko never refers to this part of the model, except that he claims that the symmetries of the model are “dee ...
Coordination risk and the price of debt
... theory, and that the prediction error is larger for lower rated bonds. For investment grade bonds, the error is around 0.5%, while for non-investment grade bonds, the error is much larger, at around 10%. Subsequent work has suggested that overpricing is resilient to various re-nements of the theory, ...
... theory, and that the prediction error is larger for lower rated bonds. For investment grade bonds, the error is around 0.5%, while for non-investment grade bonds, the error is much larger, at around 10%. Subsequent work has suggested that overpricing is resilient to various re-nements of the theory, ...
Math Processes
... are equivalent in a given context (e.g., using an area model for distributive property, and grouping/set models for commutative and associative properties). GLE 0606.1.5 Use mathematical ideas and processes in different settings to formulate patterns, analyze graphs, set up and solve problems and in ...
... are equivalent in a given context (e.g., using an area model for distributive property, and grouping/set models for commutative and associative properties). GLE 0606.1.5 Use mathematical ideas and processes in different settings to formulate patterns, analyze graphs, set up and solve problems and in ...
Mathematical economics
Mathematical economics is the application of mathematical methods to represent theories and analyze problems in economics. By convention, the applied methods refer to those beyond simple geometry, such as differential and integral calculus, difference and differential equations, matrix algebra, mathematical programming, and other computational methods. An advantage claimed for the approach is its allowing formulation of theoretical relationships with rigor, generality, and simplicity.It is argued that mathematics allows economists to form meaningful, testable propositions about wide-ranging and complex subjects which could less easily be expressed informally. Further, the language of mathematics allows economists to make specific, positive claims about controversial or contentious subjects that would be impossible without mathematics. Much of economic theory is currently presented in terms of mathematical economic models, a set of stylized and simplified mathematical relationships asserted to clarify assumptions and implications.Broad applications include: optimization problems as to goal equilibrium, whether of a household, business firm, or policy maker static (or equilibrium) analysis in which the economic unit (such as a household) or economic system (such as a market or the economy) is modeled as not changing comparative statics as to a change from one equilibrium to another induced by a change in one or more factors dynamic analysis, tracing changes in an economic system over time, for example from economic growth.Formal economic modeling began in the 19th century with the use of differential calculus to represent and explain economic behavior, such as utility maximization, an early economic application of mathematical optimization. Economics became more mathematical as a discipline throughout the first half of the 20th century, but introduction of new and generalized techniques in the period around the Second World War, as in game theory, would greatly broaden the use of mathematical formulations in economics.This rapid systematizing of economics alarmed critics of the discipline as well as some noted economists. John Maynard Keynes, Robert Heilbroner, Friedrich Hayek and others have criticized the broad use of mathematical models for human behavior, arguing that some human choices are irreducible to mathematics.