Exploratory Data Analysis Using Fisher InformationRoy Frieden, Robert A. Gatenby Springer Science & Business Media, 2010 M05 27 - 363 páginas "Sustainability" is often used in a qualitative sense. However, there is at present a great need to quantitatively measure (and monitor) its many qualitative aspects in real systems. Real systems are regarded as sustainable if they can maintain their current, desirable productivity and character without creating unfavorable condi tions elsewhere or in the future [1-4]. Sustainability therefore incorporates both concern for the future of the current system (temporal sustainability) and concern about the degree to which some areas and cultures of the planet are improved at the expense of other areas and cultures (spatial sustainability). That is, sustainability is to hold over both space and time. Sustainability encompasses many disciplines. For example, economic systems are not sustainable if they degrade their natural resource base and impoverish some sectors of the human population [5, 6]. Indices are needed that will measure sustainability through time, and over space, at several scales. These indices must also have the ability to aggregate the many disciplinary facets of sustainability, often incorporatedthrough a large number of environmental, social, and economic variables. Such a multidisciplinary dynamic system can be regarded as sustainable if it maintains a desirable steady state or regime', including fluctuations that are desirable (such as those that respond to natural disturbances [8]). |
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... EPI Approach 2 Financial Economics from Fisher Information ... Solution ... .. 115 ささま当 74 74 94 4 Information and Thermal Physics ... Solutions of the Fisher - SWE to Nonequilibrium Thermodynamics .. 145 5 Parallel Information ...
... EPI Approach 2 Financial Economics from Fisher Information ... Solution ... .. 115 ささま当 74 74 94 4 Information and Thermal Physics ... Solutions of the Fisher - SWE to Nonequilibrium Thermodynamics .. 145 5 Parallel Information ...
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... solution . ) The principle of EPI , introduced below , is of this form . 1.1.2.2 . Solution The general solution x ( t ) to ( 1.5 ) for any well - behaved Lagrangian L is known to obey the differential equation [ 1 ] ас dt дх d ( ac ) ...
... solution . ) The principle of EPI , introduced below , is of this form . 1.1.2.2 . Solution The general solution x ( t ) to ( 1.5 ) for any well - behaved Lagrangian L is known to obey the differential equation [ 1 ] ас dt дх d ( ac ) ...
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... EPI is in a maximized state . Here , as one of the special aspects of chromodynamics , it must be generalized to an extremized state . Hence , we endeavor to find the solution Vn that extremizes the information ( 1.62 ) , irre- spective ...
... EPI is in a maximized state . Here , as one of the special aspects of chromodynamics , it must be generalized to an extremized state . Hence , we endeavor to find the solution Vn that extremizes the information ( 1.62 ) , irre- spective ...
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... solution is then generally a differential equation . This is found by the use of the Euler - Lagrange Eqs . ( 1.6 ) ... EPI . Consider , in this regard , the EPI property that I ≈ J ( Sections 1.3.2 and 1.4.5 ) . Without this property ...
... solution is then generally a differential equation . This is found by the use of the Euler - Lagrange Eqs . ( 1.6 ) ... EPI . Consider , in this regard , the EPI property that I ≈ J ( Sections 1.3.2 and 1.4.5 ) . Without this property ...
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... EPI is consistent with increased information , therefore the existence of man , and , consequently , the anthropic principle . We emphasize , however , that AP and EPI are not , on this ... EPI Solution 1.4.3. Data Information is Generic.
... EPI is consistent with increased information , therefore the existence of man , and , consequently , the anthropic principle . We emphasize , however , that AP and EPI are not , on this ... EPI Solution 1.4.3. Data Information is Generic.
Contenido
1 | |
2 Financial Economics from Fisher Information | 42 |
3 Growth Characteristics of Organisms | 74 |
4 Information and Thermal Physics | 119 |
5 Parallel Information Phenomena of Biology and Astrophysics | 155 |
6 Encryption of Covert Information Through a Fisher Game | 181 |
7 Applications of Fisher Information to the Management of Sustainable Environmental Systems | 217 |
8 Fisher Information in Ecological Systems | 245 |
An Information Theory of Social Change | 285 |
References | 337 |
Index | 357 |
Otras ediciones - Ver todas
Exploratory Data Analysis Using Fisher Information Roy Frieden,Robert A. Gatenby Vista previa limitada - 2010 |
Exploratory Data Analysis Using Fisher Information Roy Frieden,Robert A. Gatenby Sin vista previa disponible - 2011 |
Términos y frases comunes
A.R. Plastino allometric allometric law amplitude applications approach Autopoiesis B.R. Frieden behavior Cambridge cancer cells cellular Chapter coefficients complex constant constraints corresponding cosmological covert information cultural disposition defined derivation described distribution dynamics effect efficient estimator eigenvalue enantiomer encryption energy EPI principle EPI solution equilibrium example extreme physical information Fisher game Fisher information function game corollary genes gives growth Hence ideational inferred information level information theory interaction investment knowledge Lagrange multipliers mass mathematical MaxEnt maximum entropy measure mutations nature noumenal noumenon null space obey observed operator G parameter particle perturbations phase space Phys physical population potential power law prediction probability density probability law problem px(x quantum mechanics regime shifts result Roy Frieden scenario Section sensate social sociocultural specific statistical mechanics structure thermodynamics tion TISE TISLE tumor variables yield curve Yolles zero