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For Zhukovs the best way to learn is to be in the lead, To surpass others in knowledge, solve the hardest math problems, take part in competitions and of course to win. Zhukovs will appreciate respect from their teachers and will try not to let them down. They also find extra activities for themselves, organizing different events, moving upward the carrier ladder in public work, going for sports or traveling. Young Zhukovs attach immense value to romanticism of men’s fraternity, joint overcoming of difficulties, risky adventures and visiting unknown places. For all their life in uneasy but always reach with impressions reality they get their strength and confidence from such memories, a bit sneering at romantic impulses of their youth. They seem to like coming down from heavens of romanticism on the land of realism but still pleased that romanticism hadn’t passed them by and they have what to remember and can tell exciting stories from their life.

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That being said, there are many incredibly hard math problems which have never been solved. For instance, Goldbach's conjecture says that every even number greater than 2 can be written as the sum of two prime numbers. No one knows whether that statement is true or not, even though mathematicians have been trying to solve that one for over 250 years! And the amazing thing is how simple the problem is, since it can be stated entirely in geometric terms. Viewed geometrically, the conjecture says that if you have a bunch of dots which can be split into two equal groups, then the dots can also be split up into two groups, such that neither of the groups can be rearranged into a rectangle. That's a powerful statement that we would love to prove or disprove, but we can't at the moment.By now, you know how long it takes to write a 500-word paper, do twenty math problems, or whatever your homework is. Schedule adequate time (with breaks) to do the homework, and try to finish it a day or two in advance, so that if you find out more information, you can adapt your homework for a better grade. Always do the maximum amount of effort--write a great 500-word essay, rather than a so-so essay. Do the hardest math problems, rather than the easiest. Your effort will be repaid in better grades and easier learning, many times over.
Hardest Math Problem in the World

The World's Hardest Maths Problems - Uncyclopedia - Wikia

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There is a famous theorem called Godel's Theorem which says that there is no hardest math problem

What is the hardest math problem in the world? | Yahoo Answers

As most of you would know, Fermat’s Last Theorem was considered one of the hardest math problems ever to prove, taking 358 years to solve. Its proof is more than 150 pages long. To use this theorem to prove something as elementary as this? It’s beyond ridiculous. Still, it is a valid proof!

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A voracious learner and student of the discipline, TC had a brilliant mind for numbers and a natural passion for solving the world's hardest math problems. He was most proud of, and probably best known for, his original research in the field of nonlinear functional analysis and fixed point theorems. Dr. Felix Browder, Chairman of the Department of Mathematics at the University of Chicago, and a foremost authority on nonlinear functional analysis, wrote in 1984, that, "Dr. Lim has made a number of very substantial and technically difficult contributions to nonlinear functional analysis, specifically to the fixed point theory of nonexpansive mappings… This has been one of the most active areas [of research]…in the last decade and a half. His contributions have been and continue to be fundamental in the field." Commenting on TC's original methods, Dr. William Kirk, an internationally recognized leader in fixed point theory, wrote, "Lim is both imaginative and tenacious in his approach. His research is refreshing in that he tends to develop his own techniques rather than to consistently follow patterns developed by others."