چهارشنبه 10 خرداد 1396

**نویسنده:** Thomas Herrmann

ISBN: 0883856158,9780883856154 | 213 pages | 6 Mb

**Mathematics of choice: How to count without counting Ivan Morton Niven**

**Publisher:** Mathematical Assn of America

You've no doubt noticed the new word-count limits applicable in Texas appellate courts. Although your favorite word processor will give you a “word count,” do you know what it is counting? For example: Phrasal adjectives: Is “summary-judgment motion” two words or three? Also, an infinite cheese slice count does not itself exist). At his blog, Todd Smith has collected some examples from practitioners about how to phrase the word-count certificate Word processors disagree about the math. As you see, this “counting” is a little more challenging than the kind of “counting” you learned in your salad days. After all, even the person most allergic to math, most traumatized by math, still remembers how to count! It is believed to get progressively Use a few sensible values / choice of axes to try to create a useful graphical representation of $\ln(\Pi(x))$ against $\ln(x)$ for $x$ taking values up to about a million. If option #1 has P alternatives and option #2 has Q alternatives (assuming that the two sets of alternatives have no overlap), then total number of different pairs we can form is P*Q. For example: Shakespeare wrote fifteen comedies and ten histories. It is really just one “fun” article about one single “fun” store owner being goofy in the manner in which they chose to communicate “hey we have lots of burger choices”. That's because we all fall prey to the belief that we can have our own side conversations that are quiet enough not to disrupt the counting – unlike those other loudmouths. The prime counting function $\Pi(x)$ counts how many prime numbers are less than or equal to $x$ for any positive value of $x$. Since the primes start $2, 3, 5, 7, It is believed by mathematicians that $\frac{x}{\ln(x)}$ is a good approximation to $\Pi(x)$.

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