You may never have noticed, but it just happens that square root of (2(2/3)) is 2 times square root of (2/3). How many other equations are there like this one?
If all the stars stand for the same number, can you complete ?
*/* - */6=*/12 1. Proof of the Riemann Hypothesis
2. Proof of the Goldbach Conjecture 3. Poincare Conjecture 4. Langlands Philosophy 5. Various Prime Number and Perfect Number Questions 6. The Structure of Pi 7. Does P = NP? 8. Artin Conjecture 9. Various Computer/Mathematical Problems 10. What are the limits of human and machine intelligence? I think its your duty to have these in written. Please write at least one...... if you found difficult all the ten
1. Ada Lovelace, daughter of Lord Byron (the poet), and first computer programmer. She analyzed and expanded upon Charles Babbage's plans for difference and analytical engines. She explained how the machines could tackle problems in astronomy and mathematics. While married to William King, she fell in love with mathematician John Crosse and became obsessed with gambling. During the last year of her life, Ada's cervical cancer progressed slowly, and her mother took charge of her care. When Ada confessed her affair with Crosse, her mother promptly discarded all of Ada's morphine and opium—the only things holding the horrific pain at bay—so that Ada's soul would be redeemed. Ada's last days were spent in agony as her mother watched but did nothing.
2. Alan Turing, computer theorist. His code-breaking work helped shorten World War II. For this contribution he was awarded the Order of the British Empire. When he called the police to investigate a burglary at his home, a homophobic police officer suspected that Turing was homosexual. (The Criminal Law Amendment Act of 1885 made a male homosexual act illegal.) Turing was forced to make a decision. He could either go to jail for a year or take experimental drug therapy. His death 2 years after the therapy, in 1954, at the age of 42, was a shock to his friends and family. Turing was found in bed. The autopsy indicated cyanide poisoning. Perhaps he had committed suicide, but to this day we are not certain. 3. Kurt GodeL, eminent mathematician and one of the most brilliant logicians of this century. The implications of his incompleteness theorem are vast, not only applying to mathematics but also touching on areas such as computer science, economics, and nature. At Princeton, one of his closest friends was Albert Einstein. When his wife Adele was not with him to coax him to eat—because she was in a hospital recovering from surgery—Godel stopped eating. He was paranoid and felt that people were trying to poison him. On December 19, 1977, he was hospitalized but refused food. He died on January 14, 1978. During his life, he had also suffered from nervous breakdowns and hypochondria. 4. Georg Cantor, the creative mathematician largely responsible for a host of extraordinary mathematical ideas such as the theory of infinite sets, transfmite numbers, and even fractals. 5. Alhazen (965-1039), a contributor to the field of mathematical optics. Al-Hakim, the ruler of Egypt, became angry with Alhazen when Alhazen made gross errors in his ability to predict and control the Nile's flooding. To save himself from execution, Alhazen pretended to be insane and was placed under house arrest. When he was not feigning insanity, Alhazen made important discoveries in optics, describing various aspects of light reflection, magnification, and the workings of the eye. 1. What brilliant, famous, and beautiful woman mathematician died in incredible pain because her mother withdrew all pain medication? (Hint: The woman is recognized for her contributions to computer programming. The mother wanted her daughter to die painfully so that her daughter's soul would be cleansed.)
2. Which brilliant mathematician was forced to become a human guinea pig and subjected to drug experiments to reverse his homosexuality? (Hint: He was a 1950s computer theorist whose mandatory drug therapy made him impotent and caused his breasts to enlarge. He also helped to break the codes of the German Enigma machines during World War II.) 3. What famous mathematician deliberately starved himself to death in 1978? (Hint: He was perhaps the most brilliant logician of the 1900s.) 4. Which innovative mathematician suffered from a series of nervous breakdowns over a period of 30 years and died in a mental institution? (Hint: He was one of the most brilliant mathematicians of the 19th century and an avid explorer of the infinite.) 5. What important 11th-century mathematician pretended he was insane so he would not be put to death? (Hint: He was born in Iraq and made contributions to optics) 1 10
2 11 3 95 4 39 5 77 6 679 7 6788 8 68889 9 2677889 10 26888999 11 3778888999 10 277777788888899 Notice the strange abundance of 8s and 9s. Incredible. Why so many 8s and 9s in a row? l can see you wondering what number has a persistence of 12. No one knows! We do know that there is no number less than 10^50 that has a persistence greater than 11. Neil Sloane conjectures that there is a number N such that no number has a persistence greater than N. It is conjectured that the largest number lacking the digit 1 with persistence 11 is 77,777,733,332,222,222,222,222,222,222. |
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