Existence in the chelation
Publisher Summary
This chapter discusses the global solutions and the compatibility conditions. In many physical problems, a solution is required for all positive times and at all points of space or at least in a given domain. The study of characteristics shows that solutions are possible only in a local sense and that often the domain of existence is very restricted. Absolute continuity is a minimum goal, but it turns out that a locally Lipschitzian solution that satisfies the Hamilton–Jacobi equation almost everywhere is usually possible. A global solution is defined to be a locally Lipschitzian real function that satisfies the Hamilton-Jacobi equation at almost every point of the domain in question. It is found that to ensure the existence of a variational minimum and to make the boundary approaches behave correctly it is convenient to introduce a growth condition. The existence of extremals for fixed endpoint problems, with properly bounded derivatives, will demonstrate that the regularity condition holds.
Life Cycle Assessment is a tool to assess the environmental impacts and resources used throughout a product's life cycle, i.e., from raw material acquisition, via production and use phases, to waste management. The methodological development in LCA has been strong, and LCA is broadly applied in practice. The aim of this paper is to provide a review of recent developments of LCA methods. The focus is on some areas where there has been an intense methodological development during the last years. We also highlight some of the emerging issues. In relation to the Goal and Scope definition we especially discuss the distinction between attributional and consequential LCA. For the Inventory Analysis, this distinction is relevant when discussing system boundaries, data collection, and allocation. Also highlighted are developments concerning databases and Input–Output and hybrid LCA. In the sections on Life Cycle Impact Assessment we discuss the characteristics of the modelling as well as some recent developments for specific impact categories and weighting. In relation to the Interpretation the focus is on uncertainty analysis. Finally, we discuss recent developments in relation to some of the strengths and weaknesses of LCA.
mpirical reality; the substance of the physical universe Dictionary of Philosophy; 1968
The state of being, existing, or occurring
Most people doubt the existence of the Loch Ness monster.
possession or continuance of being
{i} living, state of existing, state of being; life
{n} a state of being, life
That which exists; a being; a creature; an entity; as, living existences
The minimum number of occurrences of an entity which take part in a relationship See also Cardinal
The state of existing or being; actual possession of being; continuance in being; as, the existence of body and of soul in union; the separate existence of the soul; immortal existence
Like the concept being, existence is incapable of a real definition because there is nothing in the understanding of the term that can be categorized by some composition We can say that existence is a perfection, indeed the ultimate perfection of an essence In all created things existence is the act of essence; whatever a thing is, if it is in act, actual, it exists and therefore has being
empirical reality; the substance of the physical universe
The existence of something is the fact that it is present in the world as a real thing. the existence of other galaxies The Congress of People's Deputies in effect voted itself out of existence Public worries about accidents are threatening the very existence of the nuclear power industry
the act of being; a spirit's existence is forever; a spirit never dies
You can refer to someone's way of life as an existence, especially when they live under difficult conditions. You may be stuck with a miserable existence for the rest of your life
Genus: Collection of entities Differentia: Including everything that has actual being Comment: This include mental entities existing as mental entities Link: Article
the state or fact of existing; "a point of view gradually coming into being"; "laws in existence for centuries"