This paper examines conservation objectives in Australian law in the context of climate change. The rate of climate change and the scale and extent of its impacts on natural systems drive the need to re-evaluate current conservation objectives, from basic concept definitions, to overarching goals and values, to the way they are operationalized at all levels. We outline the case for reform of ob...

Syntax Throughout this monograph, we provide the definition of the syntax of logics in a more relaxed way. Skipping the syntactic rules for brackets (which can be derived from the precedence order of the operators that will be declared in words), the above inductive definition of propositional formulae over AP can be rewritten as Φ ::= true ∣∣∣ a ∣∣∣ Φ1 ∧Φ2 ∣∣∣ ¬Φ where a ∈ AP. The above can be...

We characterize the (κ, λ,< μ)-distributive law in Boolean algebras in terms of cut and choose games G <μ(λ), when μ ≤ κ ≤ λ and κ <κ = κ. This builds on previous work to yield game-theoretic characterizations of distributive laws for almost all triples of cardinals κ, λ, μ with μ ≤ λ, under GCH. In the case when μ ≤ κ ≤ λ and κ = κ, we show that it is necessary to consider whether the κ-statio...

this paper examines the relationship between environmental law and intellectual property law in light of international documents and procedures. the key question raised here is the role of intellectual property law in conservation of global environment. in this regard, we can express two general approaches: the neutral theory of intellectual property right and the systemic theory of intellectua...

The process of coagulation is associated with scalar conservation laws, where the adhesion particle dynamics results from shock waves. Conversely, the fragmentation of a massive particle into a number of smaller ones, or into a continuous (dust) distribution, is associated with refraction waves. It is generally agreed that a reversible solution of a conservation law cannot include neither shock...

The \Conservation Law for Generalization Performance" [ Scha er, 1994 ] states that for any learning algorithm and bias, \generalization is a zero-sum enterprise." In this paper we study the law and show that while the law is true, the manner in which the Conservation Law adds up generalization performance over all target concepts, without regard to the probability with which each concept occur...

The renormalization group (RG) approach to cosmology is an efficient method to study the possible evolution of the cosmological parameters from the point of view of quantum field theory (QFT) in curved space-time. In this work we continue our previous investigations of the RG method based on potential low-energy effects induced from physics at very high energy scales MX . MP . In the present in...

A version of law of large numbers for free identically distributed random variables is considering at this work. It shown that lim t→∞ t μ (x : |x| > t) = 0 is a sufficient and necessary condition for the weak law of large numbers for the sequence X1, X2, ..., free random variables. 2000 Mathematical Subject Classification: 45L54, 60F05, 47C15

This is an informal discussion on one of the basic problems in the theory of empirical processes, addressed in our preprint ”Combinatorics of random processes and sections of convex bodies”, which is available at ArXiV and from our web pages. Arguably, the central problem of the theory of empirical processes is the following: Describe the classes of functions on which the classical limit theore...

2014 International Conference on Nonlinear Evolutionary Partial Differential Equations--Theories and Applications 17 Conservation Law Models of Granular Flow Alberto Bressan The Penn State University, USA [email protected] The talk is concerned with a model of granular flow, formulated as a scalar conservation law with nonlocal flux. Recent results will be reviewed, concerning the global exi...