Fluctuations Quotes & Sayings

In art there is no progress, only fluctuations of intensity. — Robert Hughes

When you can quiet the fluctuations of your mind and drift into stillness & silence, you can finally hear the whispers of your heart ... the whispers of god. — Davidji

Limits of survival are set by climate, those long drifts of change which a generation may fail to notice. And it is the extremes of climate which set the pattern. Lonely, finite humans may observe climatic provinces, fluctuations of annual weather and, occasionally may observe such things as "This is a colder year than I've ever known." Such things are sensible. But humans are seldom alerted to the shifting average through a great span of years. And it is precisely in this alerting that humans learn how to survive on any planet. They must learn climate. - — Frank Herbert

Individual events. Events beyond law. Events so numerous and so uncoordinated that, flaunting their freedom from formula, they yet fabricate firm form. — John Archibald Wheeler

The body is made up of atoms and subatomic particles that are moving at lightning speed around huge empty spaces and the body gives off fluctuations of energy and information in a huge void, so essentially your body is proportionately as void as intergalactic space, made out of nothing, but the nothing is actually the source of information and energy. — Deepak Chopra

THE economic consequences of fluctuations in the objective exchange-value of money have such important bearings on the life of the community and of the individual that as soon as the State had abandoned the attempt to exploit for fiscal ends its authority in monetary matters, and as soon as the large-scale development of the modern economic community had enabled the State to exert a decisive influence on the kind of money chosen by the market, it was an obvious step to think of attaining certain socio-political aims by influencing these consequences in a systematic manner. Modern currency policy is something essentially new; it differs fundamentally from earlier State activity in the monetary sphere. — Ludwig Von Mises

We are a product of quantum fluctuations in the very early universe. — John C. Lennox

A word, and all the infinite fluctuations it may possess. Like that moment when you know you have something to say, and you know you're speaking, even, but you still have no idea how you will say it. Or the moment when, as a reader, you're reading, and you are understanding what you are reading, but still have utterly no idea what will come next for you, what precisely the author wants to say. For me, that is the ultimate level of literary depth, of literary density. — Sergio Chejfec

With the magnificence of eternity before us, let time, with all its fluctuations, dwindle into its own littleness. — Thomas Chalmers

Yoga is the stilling of the fluctuations of the mind. — Patanjali

Intelligent investment is more a matter of mental approach than it is of technique. A sound mental approach toward stock fluctuations is the touchstone of all successful investment under present-day conditions. — Benjamin Graham

Most of the time common stocks are subject to irrational and excessive price fluctuations in both directions as the consequence of the ingrained tendency of most people to speculate or gamble ... to give way to hope, fear and greed. — Benjamin Graham

Michael saw Northampton Castle being built by Normans and their labourers, while being pulled down in accordance with the will of Charles the Second fifteen hundred years thereafter. A few centuries of grass and ruins coexisted with the bubbling growth and fluctuations of the railway station. 1920s porters, speeded up into a silent comedy, pushed luggage-laden trolleys through a Saxon hunting party. Women in ridiculously tiny skirts superimposed themselves unwittingly on Roundhead puritans, briefly becoming composites with fishnet tights and pikestaffs. Horses' heads grew from the roofs of cars and all the while the castle was constructed and demolished, rising, falling, rising, falling, like a great grey lung of history that breathed crusades, saints, revolutions and electric trains. — Alan Moore

I don't claim to have any special interest in natural history, but as a boy I was made aware of the annual fluctuations in the number of game animals and the need to adjust the cull to the size of the surplus population. — Prince Philip

Even in those earlier times, finding the really outstanding companies and staying with them through all the fluctuations of a gyrating market proved far more profitable to far more people than did the more colorful practice of trying to buy them cheap and sell them dear. — Philip Arthur Fisher

What is it but a map of busy life,
Its fluctuations, and its vast concerns? — William Cowper

The period-effects model refers to influences specific to particular points in time - effects thought to be unique economic or demographic circumstances to which any observable fluctuations in population growth or decline may be attributed. — Brian A. Hoey

Only here [in the Center] a new union can occur, as the Mysterious Pass is the ideal space and time to experience the interpenetrating fluctuations of Yin and Yang. The Mysterious Pass is therefore the primordial Chaos (hundun) containing the germ of life-the pre-cosmic sparkle of Original Yang and Original Yin-which is the prime mover and the materia prima of the alchemical work. — Monica Esposito

As the social matrix becomes increasingly subject to rapid fluctuations, throwing out anchors into a collectivised past becomes more prominent than movement into a future. The desire to establish a core identity within the profusion of styles has led to image building becoming an industry in itself - as much reflected by the tactics of political groups and corporate bodies, as in the fetishistic scramble for designer labels and trendy occult symbols. Identity has, therefore, become another commodity to be traded in the marketplace. The gulf between objective icons and the Illusory has widened to such an extent that illusions have come to equal value. — Phil Hine

A very large majority of the U.S. population is in favor of establishing diplomatic relations with Cuba and has been for a long time with some fluctuations. And even part of the business world is in favor of it, too. But the government won't allow it. — Noam Chomsky

Artistic qualities that once seemed undeniable don't seem so now. Sometimes these fluctuations are only fickleness of taste, momentary glitches in an artist's work, or an artist getting ahead of his audience (it took me ten years to catch up to Albert Oehlen). Other times, however, these problems mean there's something wrong with the art. — Jerry Saltz

The handling of our forests as a continuous, renewable resource means permanent employment and stability to our country life. The forests are also needed for mitigating extreme climatic fluctuations, holding the soil on the slopes, retaining the moisture in the ground, and controlling the equable flow of water in our streams. — Franklin D. Roosevelt

The transience of human feeling is nothing short of ludicrous. My mercurial fluctuations in the course of a single evening made me feel as if I had a character made pf chewing gum. I had fallen into the ugly depths of self-pity, a terrain just above the even more hideous lowlands of despair. Then, easily distracted twit that I am, I had, soon after, found myself on maternal heights, where I had practically swooned with pleasure as I bobbed and fondled the borrowed homunculus next door. I had eaten well, drunk too much wine, and embraced a young woman I hardly knew. In short, I had thoroughly enjoyed myself and had every intention of doing so again. [p. 59] — Siri Hustvedt

The ancient rishi Patanjali defines "yoga" as "control of the fluctuations of the mind-stuff. — Paramahansa Yogananda

In my model, important interference phenomena arise when individual strata come into contact. These chaotic fluctuations are, I suppose, what my music is really 'about.' — Brian Ferneyhough

Recently, the search for what he calls "the splinters that make up different attention problems" has taken Castellanos in a new direction. First, he explains that your brain is far less concerned with your brilliant ideas or searing emotions than with its own internal "gyroscopic busyness," which consumes 65 percent of its total energy. Every fifty seconds, its activity fluctuates, causing what he calls a "brownout." No one knows the purpose of these neurological events, but Castellanos has a thesis: the clockwork pulses enable the brain's circuits to stay "logged on" and available to communicate with one another, even when they're not being used. "Imagine you're a cabdriver on your day off," Castellanos says. "You don't need to use your workday circuits on a Sunday, but to keep those channels open, your brain sends a ping through them every minute or so. The fluctuations are the brain's investment in maintaining its circuits online. — Winifred Gallagher

He really meant to tell them that the big money was not in the individual fluctuations but in the main movements that is, not in reading the tape but in sizing up the entire market and its trend. — Jesse Lauriston Livermore

When you look at what has happened over the last few decades the natural fluctuations point in the opposite direction of what has actually occurred. When they run the models and plug in the man-made pollution, the correspondence is exact. Beyond that, the scale of natural fluctuations has now been far exceeded by the impact of man-made global warming. — Al Gore

Meanwhile the fact that the connection with the activity of memory in ordinary life is for the moment lost is of less importance than the reverse, namely, that this connection with the complications and fluctuations of life is necessarily still a too close one. — Hermann Ebbinghaus

Price fluctuations have only one significant meaning for the true investor. They provide him with an opportunity to buy wisely when prices fall sharply and to sell wisely when they advance a great deal. — Benjamin Graham

The phenomenon of emergence takes place at critical points of instability that arise from fluctuations in the environment, amplified by feedback loops. — Fritjof Capra

Time is the most important factor in determining market movements and by studying past price records you will be able to prove to yourself history does repeat and by knowing the past you can tell the future. There is a definite relation between price and time. By studying time cycles and time periods you will learn why market tops and bottoms are found at certain times, and why resistance levels are so strong at certain times, and prices hold around them. The most money is made when fast moves and extreme fluctuations occur at the end of major cycles. — William Delbert Gann

The random quantum fluctuations of my brain are historical accidents that happen to have decided that the concepts of dynamic scoping and lexical scoping are orthogonal and should remain that way. — Larry Wall

At times like the present, when the evils of unsound finance threaten us, the speculator may anticipate a harvest gathered from the misfortune of others, the capitalist may protect himself by hoarding or may even find profit in the fluctuations of values; but the wage earner - the first to be injured by a depreciated currency and the last to receive the benefit of its correction - is practically defenseless. — Grover Cleveland

Consider that children grow more quickly in spring and summer than in fall and winter, and that this is apparently due to sunlight signals that enter through the eyeballs, since the growth of totally blind children consists of similar fluctuations but are not synchronized with the seasons. — David Epstein

Cristofer did not write because he feared forgetting something. He never forgot anything, even when he reached old age. For Cristofer, the written word seemed to regulate the world. Stop its fluctuations. Prevent notions from eroding. This is why Cristofer's sphere of interest was so broad. According to the writer's thinking, that sphere should correspond to the world's breadth.

Cristofer usually left his writings in the places where he had made them: on the bench, on the stove, on the woodpile. He did not pick them up when the fell to the floor: he vaguely anticipated their discovery, much later, in a cultural stratum. Cristofer understood that the written word would always remain that way. No matter what happened later, once it had been written, the word had already occurred. — Evgenij Vodolazkin

On the observational side, by far the most important development has been the measurement of fluctuations in the cosmic microwave background radiation by COBE (the Cosmic Background Explorer satellite) — Stephen Hawking

Quantum physics fluctuates all the time. But now the fluctuations are not just particles coming into and out of existence, which happens all the time. It's whole universes coming into and out of existence. — Neil DeGrasse Tyson

In our fluctuations of feelings, it is well to remember that Jesus admits no change in His affections; your heart is not the compass Jesus saileth by. — Samuel Rutherford

Some of the best trades come when everyone gets very panicky. The crowd can often act very stupidly in the markets. You can picture price fluctuations around an equilibrium level as a rubber band being stretched
if it gets pulled too far, eventually it will snap back. As a short-term trader, I try to wait until the rubber band is stretched to its extreme point. — Linda Bradford Raschke

Scratching off a postcard to Charlie Taylor, Orville expressed the same spirit in a lighter vein. Flying machine market has been very unsteady the past two days. Opened yesterday morning at about 208 (100% means even chance of success) but by noon had dropped to 110. These fluctuations would have produced a panic, I think, in Wall Street, but in this quiet place it only put us to thinking and figuring a little. — David McCullough

The staff at the Institute will present an analysis on how asset price fluctuations and subsequent structural adjustments influence sustained economic growth, based on Japan's experience since the second half of the 1980s. — Toshihiko Fukui

The linear, mechanistic view of the world which pervades orthodox economics is simply not capable of capturing the richness and complexity of the rhythms and fluctuations of developed economies. — Paul Ormerod

probably end up reduce your risk of diabetes because blood sugar fluctuations are its main cause. — Mary Anderson

The goal of yoga according to Patanjali I am told is citta vrtti nirodha, which means to be silent or free from mental fluctuations. — Bryan Kest

It is an essential part of the interpretive work that it should keep in step with fluctuations between love and hatred, between happiness and satisfaction on the one hand and persecutory anxiety and depression on the other. — Melanie Klein

Only hardness or only softness creates an inability to deal effectively with the fluctuations of life. — Seikichi Toguchi

It is quite obvious that the temperature change during the last 100 years or so includes significant natural changes, both the linear change and fluctuations. It is very puzzling that the IPCC reports state that it is mostly due to the greenhouse effect. — Syun-Ichi Akasofu

Ancient priests and builders must have known about the earth's magnetism and its strange fluctuations. They located their temples, mounds, and pyramids in the dead center of magnetic anomalies. And they laid out long, arrow-straight tracks or "leys" between these magnetic points. — John A. Keel

When individuals are exchanging present goods against future goods they do not take account in their valuations of Variations in the objective exchange-value of money. Lenders and borrowers are not in the habit of allowing for possible future fluctuations in the objective exchange-value of money. — Ludwig Von Mises

I am persuaded to think that any climate change is bad because of the investments and adaptations that have been made by human beings and all of the things that support human existence upon this globe. Even minor fluctuations of climate could change the distribution of fish, ... upset agriculture, ... and inundate costal cities ... ... Such changes could occur at a faster rate perhaps than human society can evolve. — Fred Singer

For the rest of his life, the greater the chaos, the calmer Rockefeller would become, particularly when others around him were either panicked or mad with greed. He would make much of his fortune during these market fluctuations - because he could see while others could not. This insight lives on today in Warren Buffet's famous adage to "be fearful when others are greedy and greedy when others are fearful." Rockefeller, like all great investors, could resist impulse in favor of cold, hard common sense. — Ryan Holiday

The things we fear most in organizations - fluctuations, disturbances,
imbalances - are the primary sources of creativity. — Margaret J. Wheatley

The quantum fluctuations within a zero-point field can start the process that builds the process, which builds into matter, an irreversible process. We have some evidence that suggests that. We don't have a Big Bang, but we have a lot of little pops! A continuous set of little pops! — Edgar Mitchell

In view of the immense power of natural weather and climate fluctuations and the great buffering capacity of the Earth, especially the ocean, it is easy to be skeptical about whether small anthropogenic changes of atmospheric composition can have important practical impacts. — James Hansen

Financial markets are supposed to swing like a pendulum: They may fluctuate wildly in response to exogenous shocks, but eventually they are supposed to come to rest at an equilibrium point and that point is supposed to be the same irrespective of the interim fluctuations. Instead, as I told Congress, financial markets behaved more like a wrecking ball, swinging from country to country and knocking over the weaker ones.It is difficult to escape the conclusion that the international financial system itself constituted the main ingredient in the meltdown process. — George Soros

Moon is associated with, astrologically speaking: feelings, emotions, mothers, parenting, memories, femininity, the Goddess, witches, women, childhood, cycles, nourishment, heritage, habits, sensitivity, moods, fluctuations, subconscious, receptivity, domestic life, the public, feeding, nurturing, home, needs, and more. — Yasmin Boland

Energy balance must be regulated involuntarily, without conscious intent, and that the mechanisms that do so adapt both intake to expenditure and expenditure to intake. Our bodies work to minimize long-term fluctuations in energy reserves and maintain a stable body weight, and they do so, as with all our homeostatic systems, — Gary Taubes

For policy makers interested in using tax policy to stimulate investments or especially to smooth business cycle fluctuations, the results are not promising. — Austan Goolsbee

Gold and silver are no doubt subject to fluctuations, from the discovery of new and more abundant mines; but such discoveries are rare, and their effects, though powerful, are limited to periods of comparatively short duration. — David Ricardo

On a given day, you can have market fluctuations where prices fluctuate far more than the underlying economic value of the unit. — N. Murray Edwards

It goes to establish a just and permanent principle of trade which puts an end to all serious fluctuations in prices and consequently, to all the insecurity and ruin which these fluctuations produce; and to build up those who are already ruined. — Josiah Warren

Perhaps it is one secret of their power that, having studied the fluctuations of prices, the [bankers] know that history is inflationary. — Will Durant

To be perfectly honest with you, having a mother as an actress - who I watched struggle tremendously during my childhood - and to watch fluctuations of ups and downs is difficult. She did mainly television, so I think I associated that with a life of inconsistency. As I've come into my own, I realize it has nothing to do with the medium. — Alaina Huffman

We have fluctuations all the time, business cycles, and they come about in various ways, but normally what sets them off is some reduction in the willingness of our population, our businesses, and foreigners to buy. — Robert Solow

Disregarding the big swing and trying to jump in and out was fatal to me. Nobody can catch all the fluctuations. In a bull market your game is to buy and hold until you believe that the bull market is near its end. To do this you must study general conditions and not tips or special factors affecting individual stocks. — Jesse Lauriston Livermore

These labourers, who must sell themselves piece-meal, are a commodity, like every other article of commerce, and are consequently exposed to all the vicissitudes of competition, to all the fluctuations of the market. — Karl Marx

What I cannot follow are the manic-depressive fluctuations from total control to no control, from the serialization of all elements to chance. — Igor Stravinsky

Most of the network related programming in games has to do with providing a good interactive experience when playing over the internet. This matter is very different from serving web pages. The primary concern there is to handle connection latency, latency fluctuations, packet loss and bandwidth limitations, and pretty much hide all of that from the player's experience. — Timothee Besset

Hatha yoga is a powerful tool for self-transformation. It asks us to bring our attention to our breath, which helps us to still the fluctuations of the mind and be more present in the unfolding of each moment. — Cyndi Lee

Some psychologists argue that the idea of God is a response to our emotional needs, but this presumption is backwards. Our emotional fluctuations are a psychological response to our lack of love for God. If God is everything, what else could we possibily want? — Tarek Saab

It has therefore been justly observed that however honestly the coin of a country may conform to its standard, money made of gold and silver is still liable to fluctuations in value, not only to accidental, and temporary, but to permanent and natural variations, in the same manner as other commodities. — David Ricardo

Like it or not, war (cold or hot) is the most powerful funding driver in the public arsenal. Lofty goals such as curiosity, discovery, exploration, and science can get you money for modest-size projects, provided they resonate with the political and cultural views of the moment. But big, expensive activities are inherently long term, and require sustained investment that must survive economic fluctuations and changes in the political winds. In all eras, across time and culture, only war, greed, and the celebration of royal or religious power have fulfilled that funding requirement. Today, the power of kings is supplanted by elected governments, and the power of religion is often expressed in nonarchitectural undertakings, leaving war and greed to run the show. Sometimes those two drivers work hand in hand, as in the art of profiteering from the art of war. But war itself remains the ultimate and most compelling rationale. — Neil DeGrasse Tyson

Successful investors tend to be unemotional, allowing the greed and fear of others to play into their hands. By having confidence in their own analysis and judgement, they respond to market forces not with blind emotion but with calculated reason. Successful investors, for example, demonstrate caution in frothy markets and steadfast conviction in panicky ones. Indeed, the very way an investor views the market and it's price fluctuations is a key factor in his or her ultimate investment success or failure. — Seth Klarman

Galison uses the phrase "critical opalescence" to sum up the story of what happened in 1905 when relativity was discovered. Critical opalescence is a strikingly beautiful effect that is seen when water is heated to a temperature of 374 degrees Celsius under high pressure. 374 degrees is called the critical temperature of water. It is the temperature at which water turns continuously into steam without boiling. At the critical temperature and pressure, water and steam are indistinguishable. They are a single fluid, unable to make up its mind whether to be a gas or a liquid. In that critical state, the fluid is continually fluctuating between gas and liquid, and the fluctuations are seen visually as a multicolored sparkling. The sparkling is called opalescence because it is also seen in opal jewels which have a similar multicolored radiance. — Freeman Dyson

Developed countries depend very little on rain, as this dependence creates high fluctuations in the output, year after year. Apart — Chetan Bhagat

Treatment of the apparently whimsical fluctuations of the stock quotations as truly non stationary processes requires a model of such complexity that its practical value is likely to be limited. An additional complication, not encompassed by most stock market models, arises from the manifestation of the market as a nonzero sum game. — Richard Arnold Epstein

It's a shame when other people's gambling habits change the meaning of paintings or when fluctuations of value start to dictate how people perceive art because it's too expensive to be interesting or moving. That's when I get bummed out. — Nate Lowman

To explore the unknown and the familiar, distant and near and to record in detail with the eyes of a child, any beauty, (of the flesh or otherwise) horror, irony, traces of utopia or Hell. Select your team with care, but when in doubt, take on some new crew and give them a chance. But avoid at all costs fluctuations of sincerity with your best people. — Dan Eldon

The reality is that the institutional framework in which Wall Street operates is fundamentally inappropriate, and it inevitably generates violent fluctuations of the market. — Maurice Allais

Big ideas, big ambitious projects need to be embedded within culture at a level deeper than the political winds. It needs to be deeper than the economic fluctuations that could turn people against an expensive project because they're on an unemployment line and can't feed their families. — Neil DeGrasse Tyson

The field of quantum valence fluctuations was another older interest which became much more active during this period, partly as a consequence of my own efforts. — Philip Warren Anderson

for the fluctuations in the background. However, within a few years we should know whether we can believe that we live in a universe that is completely self-contained and without beginning or end. — Stephen Hawking

Quantum fluctuations are, at their root, completely a-causal, in the sense that cause and effect and ordering of events in time is not a part of how these fluctuations work. Because of this, there seem not to be any correlations built into these kinds of fluctuations because 'law' as we understand the term requires some kind of cause-and-effect structure to pre-exist. Quantum fluctuations can precede physical law, but it seems that the converse is not true. So in the big bang, the establishment of 'law' came after the event itself, but of course even the concept of time and causality may not have been quite the same back then as they are now. — Sten F. Odenwald

The unchangeable price of everything more precious and valuable is blood. — Auliq Ice

The self is coming from a state of pure awareness from the state of being. All the rest that comes about in a outward manifesation of the physical world, including fluctuations which end up as thoughts and actions — Aldous Huxley

According to quantum mechanics, at the Planck scale length, instead of a gradually undulating geometry, there should be wild fluctuations and loops and handles of spacetime branching off, the sort of topography that the futuristic Ike encountered. General relativity cannot be used in such untamed territory. — Lisa Randall

Moods are by nature compelling, contagious, and profoundly interpersonal, and disorders of mood alter the perceptions and behaviors not only of those who have them but also of those who are related or closely associated. Manic-depressive illness - marked as it is by extraordinary and confusing fluctuations in mood, personality, thinking, and behavior - inevitably has powerful and often painful effects on relationships. — Kay Redfield Jamison

All speech, action and behavior are fluctuations of consciousness. All life emerges from, and is sustained in, consciousness. The whole universe is the expression of consciousness. The reality of the universe is one unbounded ocean of consciousness in motion. — Maharishi Mahesh Yogi

The teens are emotionally unstable and pathic. It is a natural impulse to experience hot and perfervid psychic states, and it is characterized by emotionalism. We see here the instability and fluctuations now so characteristic. The emotions develop by contrast and reaction into the opposite. — G. Stanley Hall

These were the attributes and qualities on whose basis the Prophet (May the peace and blessings of Allah be upon him) wanted to build a new society, the most wonderful and the most honorable society ever known in history. On these grounds, he strove to resolve the longstanding problems, and later gave humanity the chance to breathe a sigh of relief after a long exhausting journey on dark and gloomy avenues. Such lofty morals lay at the very basis of creating a new society with integrated members who would be immune to all fluctuations of time, and powerful enough to change the whole course of humanity. — Safiur-Rahman Al-Mubarakpuri

So look carefully at the map of the microwave sky. It is the blueprint for all the structure in the universe. We are the product of quantum fluctuations in the very early universe. If one were religious, one could say that God really does play dice. — Stephen Hawking

Major fluctuations in weight gain and loss are detrimental to your health and embarrassing to explain to your friends and family. — Linda Sunshine

I am not in the business of predicting general stock market of business fluctuations. If you think I can do this, or think it is essential to an investment program, you should not be in the partnership. — Warren Buffett

The war between the centrifuge of knowledge and the centripetal pull of power remains the prime conflict in all economies. Reconciling the two impulses is a new economics, an economics that puts free will and the innovating entrepreneur not on the periphery but at the center of the system. It is an economics of surprise that distributes power as it extends knowledge. It is an economics of disequilibrium and disruption that tests its inventions in the crucible of a competitive marketplace. It is an economics that accords with the constantly surprising fluctuations of our lives. — George Gilder

Inflation is lower and more stable and the real business cycle fluctuations are more modest. — Martin Feldstein

She had spent all her life in feeling miserable; this misery was her native element; its fluctuations, its varying depths, alone save her the impression of moving and living. What bothers me is that a sense of misery, and nothing else, is not enough to make a permanent soul. My enormous and morose Mademoiselle is all right on earth but impossible in eternity. — Vladimir Nabokov

Lieutenant Jaxon Knight replied, "No sir. D-L1 is the only jumpgate with a pending arrival and it is due in an hour, and it is just some civilian traffic. I'm not detecting them on the hyperNEP relays, and I really doubt they are an hour early." Captain Devereaux stood up. "Has there been any pirate activity or anything else of note in this sector? Can you get a fix on the fluctuations? How far are they?" Lieutenant Commander Ember Skyrift replied, "It's been quiet, sir, no pirate activity. I can't get a good lock on the flux. The wake is big, at least one large warship. And, sir, it's heading rim-trailward. — Charles Nall

First, adaptability and resilience require diversity, variation, and fluctuations. Allen (2001) describes the need for this redundancy (that is, having more options or pathways that are necessary to function like a machine) as the law of excess diversity. He is saying that unless there are more pathways or options (called degrees of freedom by mathematicians) than are required to operate efficiently, there is no resilience to changing circumstances. However much diversity seems requisite (Ashby, 1956) for a system to function at a given time, more than this will be required to cope with what is likely to happen in the future. — Jean G. Boulton

The chaos can act as a magnifier of quantum fluctuations so that they can produce sizable effects in the world around us. But we know that that can happen often. — Murray Gell-Mann