A Quote by Jim Blinn
This ambiguity is another example of a growing problem with mathematical notation: There aren't enough squiggles to go around.
Related Quotes
Although mathematical notation undoubtedly possesses parsing rules, they are rather loose, sometimes contradictory, and seldom clearly stated. [...] The proliferation of programming languages shows no more uniformity than mathematics. Nevertheless, programming languages do bring a different perspective. [...] Because of their application to a broad range of topics, their strict grammar, and their strict interpretation, programming languages can provide new insights into mathematical notation.
With the computer and programming languages, mathematics has newly-acquired tools, and its notation should be reviewed in the light of them. The computer may, in effect, be used as a patient, precise, and knowledgeable "native speaker" of mathematical notation.
The notation is more important than the sound. Not the exactitude and success with which a notation notates a sound; but the musicalness of the notation in its notating.
But at the end, if we are brave enough to love, if we are strong enough to forgive, if we are generous enough to rejoice in another's happiness, and if we are wise enough to know that there is enough love to go around for us all, then we can achieve a fulfillment that no other living creature will ever know, we can reenter paradise.
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.
I was appalled to find that the mathematical notation on which I had been raised failed to fill the needs of the courses I was assigned, and I began work on extensions to notation that might serve. In particular, I adopted the matrix algebra used in my thesis work, the systematic use of matrices and higher-dimensional arrays (almost) learned in a course in Tensor Analysis rashly taken in my third year at Queen's, and (eventually) the notion of Operators in the sense introduced by Heaviside in his treatment of Maxwell's equations.
The precision provided (or enforced) by programming languages and their execution can identify lacunas, ambiguities, and other areas of potential confusion in conventional [mathematical] notation.
Many persons who are not conversant with mathematical studies imagine that because the business of [Babbage’s Analytical Engine] is to give its results in numerical notation, the nature of its processes must consequently be arithmetical and numerical, rather than algebraical and analytical. This is an error. The engine can arrange and combine its numerical quantities exactly as if they were letters or any other general symbols; and in fact it might bring out its results in algebraical notation, were provisions made accordingly.
Most programming languages are decidedly inferior to mathematical notation and are little used as tools of thought in ways that would be considered significant by, say, an applied mathematician.
Often the great scientists, by turning the problem around a bit, changed a defect to an asset. For example, many scientists when they found they couldn't do a problem finally began to study why not. They then turned it around the other way and said, "But of course, this is what it is" and got an important result.
Screw ambiguity. Perversion and corruption masquerade as ambiguity. I don`t trust ambiguity. John Wayne
Theoretical physicists accept the need for mathematical beauty as an act of faith... For example, the main reason why the theory of relativity is so universally accepted is its mathematical beauty.
Photography's ability to blur truth and fiction is one of its most compelling qualities. But when misused... this ambiguity can have severe, even lethal consequences.... Photography's ambiguity, beautiful in one context, can be devastating in another.
What was I supposed to be, growing in your womb -- assuming it was even in our womb that I was conceived? A seed of hope? A ticket purchased to ferry you from the dark? A patch for that hole you carried in your heart? If so, then I wasn't enough. I wasn't nearly enough. I was no balm to your pain, only another dead end, another burden, and you must have seen that early on. You must have realized it. But what could you do? You couldn't go down to the pawnshop and sell me.
The properties of executability and universality associated with programming languages can be combined, in a single language, with the well-known properties of mathematical notation which make it such an effective tool of thought.
An old French mathematician said: "A mathematical theory is not to be considered complete until you have made it so clear that you can explain it to the first man whom you meet on the street." This clearness and ease of comprehension, here insisted on for a mathematical theory, I should still more demand for a mathematical problem if it is to be perfect; for what is clear and easily comprehended attracts, the complicated repels us.
Related Authors
Andreas Deja Quotes
American
Animator
Chris Sanders Quotes
American
Animator
Don Hertzfeldt Quotes
American
Animator
Glen Keane Quotes
American
Animator
Hideaki Anno Quotes
Japanese
Animator
John Kahrs Quotes
American
Animator
Lauren Faust Quotes
American
Animator
Loren Bouchard Quotes
American
Animator
Milt Kahl Quotes
American
Animator
Monty Oum Quotes
American
Animator
Ollie Johnston Quotes
American
Animator
Peter Sohn Quotes
American
Animator
Phil Vischer Quotes
American
Animator
Signe Baumane Quotes
Latvian
Animator