A Quote by Robert L. Devaney

Modern dynamical systems theory has a relatively short history. It begins with Poincare (of course)... [to whom] a global understanding of the gross behavior of all solutions of the system was more important than the local behavior of particular, analytically-precise solutions.
In a dynamical system, or a massively complex dynamical system such as we live in, when there is a moment of bifurcation, which is the technical mass jargon for “the snap”, that is the only time you get to do anything about the evolution of the system. So according to this self-inflating view, we live at an especially important special moment in history where when we think something or do something it has actually an enormous effect on the future. What we do has some influence on the creation of the future more than at other times in history.
Precisely constructed models for linguistic structure can play an important role, both negative and positive, in the process of discovery itself. By pushing a precise but inadequate formulation to an unacceptable conclusion, we can often expose the exact source of this inadequacy and, consequently, gain a deep understanding of the linguistic data. More positively, a formalized theory may automatically provide solutions for many problems other than those for which it was explicitly designed.
In America, we are not lacking solutions. We are lacking a two-party system that is willing to agree on solutions. Part of this is due to rigid ideological positioning that substitutes for really thinking about the facts and solutions.
It may seem daunting, but I am a prisoner of hope. We are more connected than ever before, we have more knowledge, and there are solutions if we work together. Today's technology is a great asset in encouraging global cooperation and understanding.
Solutions will not be found while Indigenous people are treated as victims for whom someone else must find solutions.
Of course there are different forms of conservatism. I would say just analytically that the Republican Party is more thoroughly conservative and the Democratic Party is more thoroughly liberal today than has been the case for most of modern history.
The business schools reward difficult complex behavior more than simple behavior, but simple behavior is more effective.
A second possible approach to general systems theory is through the arrangement of theoretical systems and constructs in a hierarchy of complexity, roughly corresponding to the complexity of the "individuals" of the various empirical fields... leading towards a "system of systems." [...] I suggest below a possible arrangement of "levels" of theoretical discourse...(vi) [...] the "animal" level, characterized by increased mobility, teleological behavior and self-awareness...
Synergy means behavior of whole systems unpredicted by the behavior of their parts.
The perception of potential threats to survival may be much more important in determining behavior than the perceptions of potential profits, so that profit maximization is not really the driving force. It is fear of loss rather than hope of gain that limits our behavior.
True doctrine, understood, changes attitudes and behavior. The study of the doctrines of the gospel will improve behavior quicker than a study of behavior will improve behavior. Preoccupation with unworthy behavior can lead to unworthy behavior. That is why we stress so forcefully the study of the doctrines of the gospel.
Widely dispersed knowledge concerning the important role of basic cooperative processes among living beings may lead to the acceptance of cooperation as a guiding principle both in social theory and as a basis for human behavior. Such a development when it occurs will alter the course of human history.
I think some of these solutions are prepared in an office without a full understanding of the local situation.
The Quest for Prosperity is an important book. Written with verve and clarity, it reflects a deep understanding of global economic issues, and proposes practical solutions that anyone concerned with the plight of the world's poor would be wise to read.
Bayer CropScience aims to lead the way in sustainable crop solutions, and we are heavily investing in R&D, as well as production capacities, to respond to global demand for differentiated crop solutions.
Sometimes it seems as if there are more solutions than problems. On closer scrutiny, it turns out that many of today's problems are a result of yesterday's solutions.
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