Quotes About Nonlinear

A chaotic system could be stable if its particular brand of irregularity persisted in the face of small disturbances.

The plumbing and pluvial dynamics of the Amazon, the largest freshwater system on Earth, are still far from understood. This is partly because it is a semi-open system. Moisture flows in and out unpredictably. A lot of nonlinear feedback loops and 'remote influences' - continental, transcontinental, oceanic, meteorological - come into play.

Man is the only 150 pound nonlinear servomechanism that can be wholly reproduced by unskilled labor.

Logic doesn't work well for such nonlinear systems as chess and life.

Scaling also became part of a movement in physics that led, more directly than Mandelbrot's own work, to the discipline known as chaos.

The equations of fluid flow are nonlinear partial differential equations, unsolvable except in special cases. Yet Ruelle worked out an abstract alternative to Landau's picture, couched in the language of Smale, with images of space as a pliable material to be squeezed, stretched, and folded into shapes like horseshoes.

Most seductive of all was an image that the authors called a strange attractor.

By our century, dissipative processes like friction were recognized, and students learned to include them in equations. Students also learned that nonlinear systems were usually unsolvable, which was true, and that they tended to be exceptions—which was not true.

The Butterfly Effect acquired a technical name: sensitive dependence on initial conditions.

To find the new x, the rule was to take the old y, add 1 and subtract 1.4 times the old x squared. To find the new y, multiply 0.3 by the old x. That is: xnew = y +1 – 1.4x2 and ynew = 0.3x. Hénon picked a starting point more or less at random, took his calculator and started plotting new points, one after another, until he had plotted thousands.

They had talked about turbulence, but time passed, and even Carruthers was no longer sure where Feigenbaum was headed. "I thought he had quit and found a different problem. Little did I know that this other problem was the same problem. It seems to have been the issue on which many different fields of science were stuck—they were stuck on this aspect of the nonlinear behavior of systems.

There are challenges in terms of the measurement of VAR for what are known as nonlinear derivatives, where things like gamma and vega are important dimensions of the risk.

Human history is highly nonlinear and unpredictable.

We evolved to make sense of this nonlinear and unpredictable world with stories. These stories are often very powerful.

In my own work, I tend to cover a lot of time and to jump back and forward in time, and sometimes the way I do this is not very straightforward.

People take the longest possible paths, digress to numerous dead ends, and make all kinds of mistakes. Then historians come along and write summaries of this messy, nonlinear process and make it appear like a simple, straight line.

One of the interesting things about 'Saw' is that you don't find out about things in sequential or linear order. One of the things that fans have liked a lot is, we don't forget about details. They come back and reveal themselves as the story evolves.

Why should a book tell a tale in a dull straight line?

Trajectories aren't linear. Life's just a roller coaster. If you're getting a chance to do cool stuff, and it's varied stuff, just enjoy it. I guess I'm a believer in the randomness of life rather than it being a linear trajectory or an arc, a consistent smooth arc, towards anything.

The creative process is different from the traditional production and work-flow process. It is not so linear.

Chris Rock, the Google founders, and Jeff Bezos and his team are examples of people who approach problems in a nonlinear manner using little bets, what University of Chicago economist David Galenson has dubbed "experimental innovators.

My brain doesn't work in a typical linear fashion: my brain is vibrant and fast and bright and on 10,000 all the time.

emotions were far from linear. They were circles and waves and dots and triangles. But they were rarely a straight line." Chapter 13 · Page 114 · Location 2031

I don't think in a linear form.