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James D.Stein

How Math Can Save Your Life

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  • Thomas Munk Christensenhas quoted7 years ago
    That’s precisely the rule that generates the sequence 1,3,7,15,31, ... Each number is twice the preceding number plus one, and each number is also one less than the appropriate power of 2.
  • Thomas Munk Christensenhas quoted7 years ago
    Show the pattern 1,3,7 to a mathematician, and he or she will notice that each number is 1 less than the next power of 2:1 is 1 less than 2, 3 is 1 less than 4, and 7 is 1 less than 8. He or she will then conjecture that it takes 264—1 moves to transfer 64 disks.
  • Thomas Munk Christensenhas quoted7 years ago
    The primary purpose of division is to share a number of items as equally as possible.
  • Thomas Munk Christensenhas quoted7 years ago
    That year the Tulip Index stood at 6.39, which means that the S&P had appreciated more than six times as rapidly as annual income since 1975.
  • Thomas Munk Christensenhas quoted7 years ago
    Cash that sits in a bank vault does not make money for a bank; the bank makes money by making loans
  • Thomas Munk Christensenhas quoted7 years ago
    The “Bradley effect,” named after Thomas Bradley, a former mayor of Los Angeles, was discovered when Bradley lost the 1982 California gubernatorial race after being ahead in the polls. It was conjectured that white voters may have stated to pollsters that they intended to vote for Bradley, an African American, in order to avoid being stigmatized as racist, when in actuality they intended to vote for Bradley’s opponent.
  • Thomas Munk Christensenhas quoted7 years ago
    a score of 85 is 8 points above the mean of 77. Because a standard deviation for that distribution was 4 points, 8 points is 2 standard deviations, and the score of 85 can be expressed as being 2 standard deviations above the mean.
  • Thomas Munk Christensenhas quoted7 years ago
    tightly packed the data are around the mean.
  • Thomas Munk Christensenhas quoted7 years ago
    the mean, which is a measure of the middle score of the distribution, and the standard deviation, which is a measure of how
  • Thomas Munk Christensenhas quoted7 years ago
    It may indeed be a good move for you to refinance, but you must understand one very important fact: you are not saving $175,000, you are making $175,000 less in payments. It may seem like the same thing, but there’s a very important difference, and in order to appreciate what’s happening, we need once again to compute present value.
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