Top 1200 Mathematical Analysis Quotes & Sayings - Page 20

I'm not a 'suffer in silence' type; I'm a 'let's throw money at the problem' type - I've done reflexology, reiki, psychotherapy, counselling. I've never actually had analysis, but I'd like to try that sometime.

My experience in decision-making has shown that patterns are tough to break. In the military, we study an opponent, looking for gaps, flaws, or weaknesses that can be exploited. Successful leaders at all levels in all disciplines conduct this kind of analysis.

If indeed, as Hilbert asserted, mathematics is a meaningless game played with meaningless marks on paper, the only mathematical experience to which we can refer is the making of marks on paper.

In security analysis the prime stress is laid upon protection against untoward events. We obtain this protection by insisting upon margins of safety, or values well in excess of the price paid.

Civility is not not saying negative or harsh things. It is not the absence of critical analysis. It is the manner in which we are sharing this territorial freedom of political discussion. If our discourse is yelled and screamed and interrupted and patronized, that's uncivil.

We often say that the earth is a sphere, but to be precise, the term sphere refers only to the surface. The correct mathematical term for the solid earth is a ball.

As presidents from Ronald Reagan to Barack Obama have recognized, the real question is whether regulations, whether new or old, are justified. That requires a careful analysis of their costs and their benefits.

Literature is not made of ideas and it's not made of concepts, of psychological analysis. It's made of words.

Online, you have things like Slate Magazine, which has a lot of commentary and analysis of stories, so it gives you a fuller picture. I would compare that to a news magazine or the New Republic.

Do not believe in anything simply because you have heard it. But after observation and analysis, when you find that anything agrees with reason and is conducive to the good and benefit of one and all, then accept it and live up to it.

I can't help but think what would have happened if a divisive character such as Trump were president during the 2008 financial crisis, at a time when leadership, compromise, and careful analysis were critical.

The special sphere of finance within economics is the study of allocation and deployment of economic resources, both spatially and across time, in an uncertain environment. To capture the influence and interaction of time and uncertainty effectively requires sophisticated mathematical and computational tools.

I spent most of high school working on the debate team, probably at some expense to my grades. Being a member of the team was great training in critical analysis, organization, and logic.

I learnt to distrust all physical concepts as the basis for a theory. Instead one should put one's trust in a mathematical scheme, even if the scheme does not appear at first sight to be connected with physics. One should concentrate on getting interesting mathematics.

If research can help us discover cures for diseases, it surely can improve a football team. Whether it's data analysis or biomechanics, it can give you an edge - and I'd be a fool if I didn't want that edge.

Race and class are rendered distinct analytically only to produce the realization that the analysis of the one cannot proceed without the other. A different dynamic it seems to me is at work in the critique of new sexuality studies.

A commodity appears at first sight an extremely obvious, trivial thing. But its analysis brings out that it is a very strange thing, abounding in metaphysical subtleties and theological niceties.

With its shrewd analysis and its knowledgeable reflections on the state of the arts, as well as a rich array of anecdotes and quotations about patronage, Patronizing the Arts will appeal to a broad audience.

Alan Turing gave us a mathematical model of digital computing that has completely withstood the test of time. He gave us a very, very clear description that was truly prophetic.

In the final analysis, the incident is seen as originating from an emotional expression of the frustration and anger of the proud people of China who had been subject to ever increasing oppression from without and decadent corruption from within.

When you are making a decision about how best to serve your customers, your own experience is often a better guide than a more sophisticated analysis of the market.

Another advantage of a mathematical statement is that it is so definite that it might be definitely wrong; and if it is found to be wrong, there is a plenteous choice of amendments ready in the mathematicians' stock of formulae. Some verbal statements have not this merit; they are so vague that they could hardly be wrong, and are correspondingly useless.

Some people are better at maths than others: no one thinks you can be 'taught' to be a mathematical genius. And no one thinks of teaching, in that context, as a kind of forcing of the will. But there seems to be an idea of writing as an intuitive pastime which is being dishonestly subjected to counterintuitive methods.

If physics leads us today to a world view which is essentially mystical, it returns, in a way, to its beginning, 2,500 years ago... This time, however, it is not only based on intuition, but also on experiments of great precision and sophistication, and on a rigorous and consistent mathematical formalism.

To a person of analytical ability, perceptive enough to realise that mathematical equipment was a powerful sword in economics, the world of economics was his or her oyster in 1935. The terrain was strewn with beautiful theorems begging to be picked up and arranged in unified order.

The elegance of a mathematical theorem is directly proportional to the number of independent ideas one can see in the theorem and inversely proportional to the effort it takes to see them.

What I learned in school made me a better journalist and a better writer because forensic science is, as scientific disciplines must be, about critical thinking and objective analysis.

Eventually I realized that for contemporary philosophers conceptual analysis per se was an end in itself. For some, it was somehow supposed to lead to the truth about these phenomena, not just to tidy things up a bit.

When I was a college student and I got interested in linguistics the concern among students was, this is a lot of fun, but after we have done a structural analysis of every language in the world what's left? It was assumed there were basically no puzzles.

The simplicity of the universe is very different from the simplicity of a machine. The simplicity of nature is not that which may be easily read but is inexhaustible. The last analysis can no wise be made.

Ability to see the cultural value of wilderness boils down, in the last analysis, to a question of intellectual humility. The shallow-minded modern who has lost his rootage in the land assumes that he has already discovered what is important.

They do not merely collect texts; they must also gather data about the context and the informant and, above all, write an analysis of the items based upon the course readings and lecture material on folklore theory and method.

I saw brilliant ideas coming out of the [Chipko] movement that needed better articulation, that needed elaboration and systematic analysis. I just followed that and it's been very exciting.

I don't often know where my ideas come from. Maybe it's the fact that I'm obsessively regimented in my analysis, borderline autistic. But whether it's bond selection or asset allocation, we can do it better than just about anybody around.

All of the systems that present different worlds, planes of being and energy centers ultimately fail if you try to make them all-inclusive. They are symbolic representations of something that lies beyond the world of thought and analysis.

The usual approach of science of constructing a mathematical model cannot answer the questions of why there should be a universe for the model to describe. Why does the universe go to all the bother of existing?

Any creative process comes with a level of self-analysis and self-criticism. There's a lot of waking up in the middle of the night going, 'Oh, I wish I had done that differently.'

I believe that music offers us possibilities for analysis, at least in my case, more profound in many ways, but at the same time that profundity is an accessible profundity that has atemporal repercussions.

There's a very mathematical, mechanical side to architecture, and I probably lean more toward that aspect of it, though I'm terrible at numbers. But that side appeals to me more than the decorating aspect.

Men and women who refuse to acknowledge God's existence do so, in the final analysis, because it is contrary to their manner of living. They do not want to bow to the moral claims of a holy God on their lives.

If you help others, you will be helped, perhaps tomorrow, perhaps in one hundred years, but you will be helped. Nature must pay off the debt. It is a mathematical law and all life is mathematics.

The most important single thing about string theory is that it's a highly mathematical theory, and the mathematics holds together in a very tight and consistent way. It contains in its basic structure both quantum mechanics and the theory of gravity. That's big news.

The mathematical phenomenon always develops out of simple arithmetic, so useful in everyday life, out of numbers, those weapons of the gods: the gods are there, behind the wall, at play with numbers.

I believe that mathematical reality lies outside us, that our function is to discover or observe it, and that the theorems which we prove, and which we describe grandiloquently as our "creations," are simply the notes of our observations.

317 is a prime, not because we think so, or because our minds are shaped in one way rather than another, but because it is so, because mathematical reality is built that way.

More than sixty years ago, mathematical logicians, by defining precisely the concept of an algorithm, gave content to the ancient human idea of an effective calculation. Their definitions led to the creation of the digital computer, an interesting example of thought bending matter to its ends.

Each wave of sightings adds to the accumulation of reports which defy analysis by present methods... An investigative process in depth is necessary here if, after twenty years of confusion, we want some answers.

Understanding does not come through analysis;understanding comes only when the mind is very quite,unburdened,no longer seeking success and therefore being thwarted,afraid of faluire.

Gauss replied, when asked how soon he expected to reach certain mathematical conclusions, that he had them long ago, all he was worrying about was how to reach them!

I see a pretty bright line between analysis and opinion. And so, to that end, my goal on Friday nights is to try to assemble the smartest reporters who are available to me that week who have been involved in covering the news.

It's my belief that you can take everyone down a logical path if you take them slowly enough, and the trouble is that mathematical brains can get scrambled a little bit on the way. You get a bad teacher, it messes you up for the rest of the journey.

As a matter of historical analysis, the relationship between secrecy and privacy can be stated in an axiom: the defense of privacy follows, and never precedes, the emergence of new technologies for the exposure of secrets.

Deeply listening to music opens up new avenues of research I'd never even dreamed of. I feel from now on music should be an essential part of every analysis.

Assess Bitcoins? All you can do is examine the trading patterns, which do not provide a real analysis of any underlying economic value. The economics of investments are not solely based on supply and demand, and that is all that goes into Bitcoin prices.

I chose to deal with the science of cryptography. Cryptography began in mathematics. Codes were developed, even from Caesar's time, based on number theory and mathematical principles. I decided to use those principles and designed a work that is encoded.

What is history? Its beginning is that of the centuries of systematic work devoted to the solution of the enigma of death, so that death itself may eventually be overcome. That is why people write symphonies, and why they discover mathematical infinity and electromagnetic waves.

Aspiring to these wide generalizations, the analysis of quadratic functions soars to a pitch from whence it may look proudly down on the feeble and vain attempts of geometry proper to rise to its level or to emulate it in its flights.

Its my belief that you can take everyone down a logical path if you take them slowly enough, and the trouble is that mathematical brains can get scrambled a little bit on the way. You get a bad teacher, it messes you up for the rest of the journey.

The natural equipment to accomplish some small part of the meaner ambitions distinguishing able men from dead ones. In the last analysis ability is commonly found to consist mainly in a high degree of solemnity.

In any competitive environment, whether you're in sales or marketing or whatever it is, you have to know your competition, understand who they are, do intelligent analysis on them and then you have to know yourself - who you are and what you're capable of doing.