The formulation of the problem is often more essential than its solution, which may be merely a matter of mathematical or experimental skill.
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The apex of mathematical achievement occurs when two or more fields which were thought to be entirely unrelated turn out to be closely intertwined. Mathematicians have never decided whether they should feel excited or upset by such events.
A mathematical formula for happiness:Reality divided by Expectations.There were two ways to be happy:improve your reality or lower your expectations.
We are mathematical equations where your life is the sum of all choices you've made until now. The good news is you can change the equation so that you start making a difference in your life.
The __use_ is not an artistic mystery, but a mathematical equation. The gift are those ideas you think of as you drift to sleep. The giver is that one you think of when you first awake.
Yes," I continued, "I discovered this model recently and her style never fails to be mathematically perfect. She seems to come by it naturally. As if she were born resonant. I notice Japanese models tend to do this. Like I said, they seem to have resonance somewhere deep in their culture. But Yuri Nakagawa, she's the best I've ever seen. The best model, with the most powerful resonance. I need her to probe deeper into this profound mathematical instinct, which I call resonance.
Dull minds are never either intuitive or mathematical.
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.
Beaming into the thick of a tree without becoming a lifelong tree hugger was a tricky business. A precision job. Scrooby__ job at the Time Saving Agency was a tough one. Billions of lives depended on him not screwing up. Literally billions and billions. Once, he__ screwed up in only a very small way and people wore those little yellow smiley faces on t-shirts for decades afterwards _ and that was just a small screw up. He sighed. Here he sat, in the branches of an apple tree in an apple tree orchard _ and without a single apple in sight. Below him, Isaac was waiting to get bonked on the noggin with an apple so that he could fulfill history by toddling off to invent gravity and shape scientific and mathematical principles for generations to come. Only one problem _ no apples.