A Quote by Arthur M. Wellington
When the difficulty of a problem lies only in finding out what follows from certain fixed premises, mathematical methods furnish invaluable wings for flying over intermediate obstructions.
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What a mathematical proof actually does is show that certain conclusions, such as the irrationality of , follow from certain premises, such as the principle of mathematical induction. The validity of these premises is an entirely independent matter which can safely be left to philosophers.
The difficulty lies, not in finding a producer, but in finding a consumer.
The problem with cinema nowadays is that it's a math problem. People can read a film mathematically; they know when this comes or that comes; in about 30 minutes, it's going to be over and have an ending. So film has become a mathematical solution. And that is boring, because art is not mathematical.
In the beginning (if there was such a thing), God created Newton's laws of motion together with the necessary masses and forces. This is all; everything beyond this follows from the development of appropriate mathematical methods by means of deduction.
The fundamental laws necessary for the mathematical treatment of a large part of physics and the whole of chemistry are thus completely known, and the difficulty lies only in the fact that application of these laws leads to equations that are too complex to be solved.
The Difficulty lies, in finding out an exact Measure but eat for Necessity, not Pleasure, for Lust knows not where Necessity ends.
As what we call genius arises out of the disproportionate power and size of a certain faculty, so the great difficulty lies in harmonizing with it the rest of the character.
You can curl up in the fetal position and try to wish away all the things that need doing, or you can get started on that uphill battle to reclaim your life. The difficulty isn’t what choice to make, because that part is obvious. The difficulty lies in finding the energy and inspiration to make the right choice.
You can say that designing is quite easy; the difficulty lies in finding a new way to explore beauty
My care is like my shadow in the sun, Follows me flying, flies when I pursue it, Stands and lies by me, doth what I have done.
The emphasis on mathematical methods seems to be shifted more towards combinatorics and set theory - and away from the algorithm of differential equations which dominates mathematical physics.
In software, consultants sometimes tell you to buy into certain software-development methods to the exclusion of other methods. That’s unfortunate because if you buy into any single methodology 100 percent, you’ll see the whole world in terms of that methodology. In some instances, you’ll miss opportunities to use other methods better suited to your current problem.
Who of us would not be glad to lift the veil behind which the future lies hidden; to cast a glance at the next advances of
our science and at the secrets of its development during future centuries? What particular goals will there be toward
which the leading mathematical spirits of coming generations will strive? What new methods and new facts in the
wide and rich field of mathematical thought will the new centuries disclose?
My problem with all forms of fundamentalism is that the position is fixed. This is like talking about a fixed position as seen from a moving jet: it's disappearing over the horizon with or without your permission.
The underlying physical laws necessary for the mathematical theory of a large part of physics and the whole of chemistry are thus completely known, and the difficulty is only that the exact application of these laws leads to equations much too complicated to be soluble. It therefore becomes desirable that approximate practical methods of applying quantum mechanics should be developed, which can lead to an explanation of the main features of complex atomic systems without too much computation.
Flying is absolute freedom. I know the feeling of flying from various aircraft. But there was always something surrounding me that I had to control. As Fusion Man, it's like I am naked, I only have the wings that carry me. It's like a dream.
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