Quotes & Sayings About Complex Analysis

This assumption of the intrinsically repressive nature of collective experience and redemptive power of individuation is a staple of contemporary art theory and criticism. I would argue that a closer analysis of collaborative and collective art practices can reveal a more complex model of social change and identity, one in which the binary oppositions of divided vs. coherent subjectivity, desiring singularity vs. totalizing collective, liberating distanciation vs. stultifying interdependence, are challenged and complicated. — Grant H. Kester

Mathematical analysis and computer modelling are revealing to us that the shapes and processes we encounter in nature -the way that plants grow, the way that mountains erode or rivers flow, the way that snowflakes or islands achieve their shapes, the way that light plays on a surface, the way the milk folds and spins into your coffee as you stir it, the way that laughter sweeps through a crowd of people - all these things in their seemingly magical complexity can be described by the interaction of mathematical processes that are, if anything, even more magical in their simplicity. Shapes that we think of as random are in fact the products of complex shifting webs of numbers obeying simple rules. The very word "natural" that we have often taken to mean "unstructured" in fact describes shapes and processes that appear so unfathomably complex that we cannot consciously perceive the simple natural laws at work.They can all be described by numbers. — Douglas Adams

In his thoughtful and complex style of analysis, Hitler continued on to note the following: "Since the newspapers in question did not enjoy an outstanding reputation ... I regarded them more as the products of anger and envy than the [representation] of a principled, though perhaps mistaken, point of view." In the lines above, we see Hitler begin to wrestle with anti- Semitism, flatly reject religious anti-Semitism as unworthy of Austrian cultural tradition, and suspect that the arguments of the anti-Semitic press and gutter pamphlets were exaggerated beyond credibility by too much subjective and too little objective and principled argument. The view of virtually every Hitler biographer that he based his anti-Semitism on arguments derived from the gutter press and pamphlets of Vienna does not hold up in the face of the words above. To the contrary, we see Hitler take the measure of that literature.

--Hitler: Beyond Evil and Tyranny, pp. 103-104 — Russel H.S. Stolfi

The more time I spent in Finland, the more I started to worry that the reforms sweeping across the United States had the equation backwards. We were trying to reverse engineer a high-performance teaching culture through dazzlingly complex performance evaluations and value-added data analysis. It made sense to reward, train, and dismiss more teachers based on their performance, but that approach assumed that the worst teachers would be replaced with much better ones, and that the mediocre teachers would improve enough to give students the kind of education they deserved. However, there was not much evidence that either scenario was happening in reality. — Amanda Ripley

The new mathematics is a sort of supplement to language, affording a means of thought about form and quantity and a means of expression,more exact,compact, and ready than ordinary language. The great body of physical science, a great deal of the essential facts of financial science, and endless social and political problems are only accessible and thinkable to those who have had a sound training in mathematical analysis, and the time may not be very remote when it will be understood that for complete initiation as an efficient citizen of one of the new great complex world wide states that are now developing, it is as necessary to be able to compute, to think in averages and maxima and minima, as it is now to be able to read and write. — H.G.Wells

To my mind, the chief conclusion to be drawn from Derrida's analysis is that the human-animal distinction is, strictly speaking, nonsensical. How could a simple (or even a highly refined) binary distinction approach doing justice to the complex ethical and ontological matters at stake here? — Matthew Calarco

The Tea Party is a group that rejects deep thinking, it rejects the very complex analysis that is involved in public policy, it rejects the kind of textured decision-making that Ronald Reagan prided himself on. — Eugene Jarecki

Incivility is a symptom, not the disease. We've always had partisan conflict in Congress, and we always will. Yet when I worked for a year (1970-71) on the staff of Sen. Ed Muskie of Maine, this was a different place, more collegial, more sensitive to data, more concerned about all of the American people. I think because the for-profit media prizes conflict above cooperation and sound bites above analysis, politicians have learned to adapt to those tendencies. Consequently, our public debates are dumbed down as our problems grow more complex. — Tom Allen

His analysis showed that there was a significant correlation between the level of complexity of a society and the number of distinctions that are expressed inside the word. But contrary to what Joe, Piers, and Tom might expect, it was not the case that sophisticated societies tend to have sophisticated word structures. Quite the opposite: there is an inverse correlation between the complexity of society and of word structure! The simpler the society, the more information it is likely to mark within the word; the more complex the society, the fewer semantic distinctions it is likely to express word-internally. — Guy Deutscher

The only way to bear the overwhelming pain of oppression is by telling, in all its detail, in the presence of witnesses and in a context of resistance, how unbearable it is. If we attempt to craft resistance without understanding this task, we are collectively vulnerable to all the errors of judgement that unresolved trauma generates in individuals. It is part of our task as revolutionary people, people who want deep-rooted, radical change, to be as whole as it is possible for us to be. This can only be done if we face the reality of what oppression really means in our lives, not as abstract systems subject to analysis, but as an avalanche of traumas leaving a wake of devastation in the lives of real people who nevertheless remain human, unquenchable, complex and full of possibility. — Aurora Levins Morales

These studies resulted eventually in a complete sequence analysis of the complex from several species, and in the atomic resolution structure of the F catalytic domain of the enzyme from bovine mitochondria, giving new insights into how ATP is made in the biological world. — John E. Walker

As many critics of religion have pointed out, the notion of a creator poses an immediate problem of an infinite regress. If God created the universe, what created God? To say that God, by definition, is uncreated simply begs the question. Any being capable of creating a complex world promises to be very complex himself. As the biologist Richard Dawkins has observed repeatedly, the only natural process we know of that could produce a being capable of designing things is evolution. — Sam Harris

In the analysis of books, as in the analysis of complex world events, we hover between two kinds of error: ascribing too much meaning where there is little, if any, to be found, and ignoring meaning that stares us right in the face. — J.C. Hallman

Hydrodynamics procreated complex analysis, partial differential equations, Lie groups and algebra theory, cohomology theory and scientific computing. — Vladimir Arnold

The more complex the world situation becomes, the more scientific and rational analysis you have to have, the less you can do with simple good will and sentiment. — Reinhold Niebuhr

Darwin himself said as much: 'If it could be demonstrated that any complex organ existed which could not possibly have been formed by numerous, successive, slight modifications, my theory would absolutely break down. But I can find no such case.' Darwin could find no such case, and nor has anybody since Darwin's time, despite strenuous, indeed desperate, efforts. Many candidates for this holy grail of creationism have been proposed. None has stood up to analysis. — Richard Dawkins

The core motivation for my leaving the Church of Jesus Christ of Latter-day Saints after thirty-two years of association requires very little analysis, only a modest debate, and certainly no complex justification. If what Joseph Smith Jr. did with the wives of so many other men was both authorized and directed by Jesus Christ Himself, then I can publicly state without any reservation whatsoever, "I want no part of Christianity, and I wish for no relationship with a heavenly Master who would require such action. — Lee B. Baker

In the final analysis, poverty is a condition of helplessness - of inability to cope with the conditions of existence in our complex society. — Robert Kennedy

the simplicity of many of Bush's pronouncements is often misinterpreted as evidence that he has penetrated to the core of a complex issue, when in fact exactly the opposite is true: They often mark his refusal even to consider complexity. And that's particularly troubling in a world where the challenges America faces are often quite complex and require rigorous, sustained, disciplined analysis. — Al Gore

Now, in the development of our knowledge of the workings of Nature out of the tremendously complex assemblage of phenomena presented to the scientific inquirer, mathematics plays in some respects a very limited, in others a very important part. As regards the limitations, it is merely necessary to refer to the sciences connected with living matter, and to the ologies generally, to see that the facts and their connections are too indistinctly known to render mathematical analysis practicable, to say nothing of the complexity. — Oliver Heaviside

Kessler depicts his developing intimacy with a handful of dairy goats and offers an enviable glimpse of the pastoral good life. Yet he also cautions, "Wherever the notion of paradise exists, so does the idea that it was lost. Paradise is always in the past." The title Goat Song is a literal rendering of the Greek word traghoudhia, tragedy. Reading it, I was reminded of Leo Marx's analysis of Thoreau's Walden. In The Machine in the Garden, Marx names Thoreau a tragic, if complex pastoralist. After failing to make an agrarian living raising beans for commercial trade (although his intent was always more allegorical than pecuniary), Thoreau ends Walden by replacing the pastoral idea where it originated: in literature. Paradise, Marx concludes, is not ultimately to be found at Walden Pond; it is to be found in the pages of Walden. — Heather Paxson

The very act of thinking about power in our lives and experiences creates a process of revelation and self-analysis that may even make us look at ourselves in a new light ... thinking about power and its complex manifestations may not simply lead to a better understanding of the abstract complexities of society, but may have an effect on one?s own image and identity. Perhaps a warning label should be placed on the cover ... — Kenneth E. Boulding

Separation of function is not to be despised, but neither should it be exalted. Separation is not an unbreakable law, but a convenience for overcoming inadequate human abilities, whether in science or engineering. As D'Arcy Thompson, one of the spiritual fathers of the general systems movement, said: As we analyze a thing into its parts or into its properties, we tend to magnify these, to exaggerate their apparent independence, and to hide from ourselves (at least for a time) the essential integrity and individuality of the composite whole. We divided the body into its organs, the skeleton into its bones, as in very much the same fashion we make a subjective analysis of the mind, according to the teaching of psychology, into component factors: but we know very well that judgement and knowledge, courage or gentleness, love or fear, have no separate existence, but are somehow mere manifestations, or imaginary coefficients, of a most complex integral.10 The — Gerald M. Weinberg

As soon as we touch the complex processes that go on in a living thing, be it plant or animal, we are at once forced to use the methods of this science [chemistry]. No longer will the microscope, the kymograph, the scalpel avail for the complete solution of the problem. For the further analysis of these phenomena which are in flux and flow, the investigator must associate himself with those who have labored in fields where molecules and atoms, rather than multicellular tissues or even unicellular organisms, are the units of study. — John Jacob Abel

My favourite fellow of the Royal Society is the Reverend Thomas Bayes, an obscure 18th-century Kent clergyman and a brilliant mathematician who devised a complex equation known as the Bayes theorem, which can be used to work out probability distributions. It had no practical application in his lifetime, but today, thanks to computers, is routinely used in the modelling of climate change, astrophysics and stock-market analysis. — Bill Bryson