A Quote by John Allen Paulos
The simple equations that generate the convoluted Mandelbrot fractal have been called the wittiest remarks ever made.
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You existed. You existed now as a fractal. Definition: A fractal is generally a rough or fragmented geometric shape that can be broken into parts, each of which is (at least approximately) a reduced-size copy of the whole. Maybe I was a fractal. Maybe the photographer was a fractal. Maybe we were all fractals.
Unfortunately, nothing is ever that simple in copyright law, and when it comes to music copyright, it's especially convoluted.
We tend to think of science as finding equations, like E=MC2, that are simple and elegant. But maybe some theories are complicated, and we can only find the simple ones.
Have you ever rightly considered what the mere ability to read means? That it is the key which admits us to the whole world of thought and fancy and imagination? to the company of saint and sage, of the wisest and the wittiest at their wisest and wittiest moment? That it enables us to see with the keenest eyes, hear with the finest ears, and listen to the sweetest voices of all time? More than that, it annihilates time and space for us.
I've had my fair share of incidents with law enforcement, whether they're saying smart remarks, condescending remarks to downplay who I am and what I can afford... It's something that made me stronger on the back end of it, and learned from those instances.
Insecure managers create complexity. Frightened, nervous managers use thick convoluted planning books and busy slides filled with everything they’ve known since childhood……. They worry that if they’re simple, people will think they’re simple minded. In reality, of course, it’s just the reverse. Clear, tough minded people are the most simple.
I've not been in a live-in relationship. But I've been exposed to various kinds of equations that can exist between people. When I came from Bangalore, it was black and white. Over the years, I've realised that there's more to what we see on a day-to-day basis. There are all kinds of relationships, all kinds of equations.
Everything, however complicated - breaking waves, migrating birds, and tropical forests - is made of atoms and obeys the equations of quantum physics. But even if those equations could be solved, they wouldn't offer the enlightenment that scientists seek. Each science has its own autonomous concepts and laws.
I conceived, developed and applied in many areas a new geometry of nature, which finds order in chaotic shapes and processes. It grew without a name until 1975, when I coined a new word to denote it, fractal geometry, from the Latin word for irregular and broken up, fractus. Today you might say that, until fractal geometry became organized, my life had followed a fractal orbit.
If there is any kind of animal which is female and has no male separate from it, it is possible that this may generate a young one from itself. No instance of this worthy of any credit has been observed up to the present at any rate, but one case in the class of fishes makes us hesitate. No male of the so-called erythrinus has ever yet been seen, but females, and specimens full of roe, have been seen. Of this, however, we have as yet no proof worthy of credit.
You have been called selfish for the courage of acting on your own judgement and bearing sole responsibility for your own life. You have been called arrogant for your independent mind. You have been called cruel for your unyielding integrity. You have been calle anti social for the vision that made you venture upon undiscovered roads.
I often quote Ronald Reagan, who is pretty close to my favorite President ever, I will have to say that, but one of my favorite remarks he ever made was that when you look at Federal programs, there is nothing so close to eternal life on Earth as a Federal Government program.
The power of equations lies in the philosophically difficult correspondence between mathematics, a collective creation of human minds, and an external physical reality. Equations model deep patterns in the outside world. By learning to value equations, and to read the stories they tell, we can uncover vital features of the world around us.
Who ... is not familiar with Maxwell's memoirs on his dynamical theory of gases? ... from one side enter the equations of state; from the other side, the equations of motion in a central field. Ever higher soars the chaos of formulae. Suddenly we hear, as from kettle drums, the four beats 'put n=5.' The evil spirit v vanishes; and ... that which had seemed insuperable has been overcome as if by a stroke of magic ... One result after another follows in quick succession till at last ... we arrive at the conditions for thermal equilibrium together with expressions for the transport coefficients.
I think in the long run the money that s been put into the space program is one of the best investments this country has ever made . . .This is a downpayment on the future of mankind. It's as simple as that.
Our object in these remarks has been not only to account for the slow progress which has as yet been made by Political Economy, and to suggest means by which its advancement may be accelerated, but also to warn the reader of the nature of the following Treatise.
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