Lecture2

All things are not possible improbable events can

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Unformatted text preview: ef history on counting and numbers Uses of numbers Counting Calculating Representing the world Performing logic (binary code) Knowing truth Doing mathematics Finger counting Allows large numbers Greek/Roman origin Add gestures for more numbers 10 fingers > base 10 counting Counting systems All currently known counting systems based on 2, 5, 10, 20 & 60 10 is convenient, we have 10 fingers Base12 has merits (twoleft: 10 = A, 11 = B), and remnants Smallest number with 4 nontrivial factors (2,3,4,6) Divisibility by a wide range of the most elemental numbers 2counter 10counter IndoArabic number system 2500 BC, system is complete 1. unique symbols 19 2. base10 3. placevalue notation 4. has zero Most significant human intellectual achievement, ever! Nearest thing to universal language What's in a number? A single number, in isolation, almost always has exactly zero significance. Usually the implied question is: "Is it large, or small?" (with respect to what?) Significance requires comparison with another number. "Is it the same, or different?&qu...
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This note was uploaded on 10/12/2009 for the course AME 341AL at USC.

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