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 -Stonehenge - PowerPoint PPT Presentation


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 -Stonehenge. In an episode of Star Trek, Spock challenged the alien’s main computer to calculate the last digit of . The computer consequently exploded after attempting this feat. Weight = 27 tons Dimensions 2.6 m x 26 m x 0.9 m Memory 16 kilobytes .

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Presentation Transcript
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In an episode of Star Trek, Spock challenged the alien’s main computer to calculate the last digit of . The computer consequently exploded after attempting this feat.

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Weight = 27 tons

Dimensions

2.6 m x 26 m x 0.9 m

Memory

16 kilobytes

The digital camera image of ENIAC uses 3.6 megabytes of storage space.

To store this image on ENIAC you would need 3,600,000 ÷ 16,000 = 225 ENIAC computers.

In 1949, ENIAC calculated 2,037 digits of  in 70 hours.

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The tombstone of the German Mathematician  

Ludolph von Ceulen (1540-1610) who calculated  to 35 decimal places.

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Pi facts 3.14159626358979323846264388...Pi is the 16th letter of the Greek alphabet.

Sir, I bear a rhyme excelling in mystic force and magic spelling Celestial sprites elucidate All my own striving can’t relate. Or locate they who can cogitate And so finally terminate.

There are no occurrences of the sequence 123456 in the first one million digits of pi.

Choose any two integers. The probability that they are relatively prime (they have no common factors) is 6/(p2).

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Isaac Asimov once proposed the mnemonic technique to memorize a sentence in which the number of letters in each word in turn is equal to each corresponding digit of pi.

“How, I want a drink, alcoholic, of course, after the heavy lectures involving quantum mechanics”

The meandering length of a river divided by the direct distance between the source and entry to the ocean is approximately equal to .

The first computer calculation of  occurred in 1947, yielding 2,037 decimal digits in 70 hours. Today we know  to over a trillion digits.

John Wallis took 15 years to calculate  to over 700 decimal places. It was revealed that he was error in the 500th decimal place. He used the expression:

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Martin Gardner once pointed out that when you cross out all the symmetrical letters in an alphabet circle, the resulting letters group into the digits of pi rounded to 4d.p

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The meandering length of a river divided by the direct distance between the source and entry to the ocean is approximately equal to .