CIS541_08_MonteCarlo
... may not be independent. There may be a higher probability that a 3 will follow a 5. ...
... may not be independent. There may be a higher probability that a 3 will follow a 5. ...
Full text
... that required by two numbers represented as standard binary numbers. That is, even though the Zeckendorf representation requires more bits, its efficiency in the multiplication process more than compensates for extra operations because of larger word size. Indeed, the Zeckendorf representation outpe ...
... that required by two numbers represented as standard binary numbers. That is, even though the Zeckendorf representation requires more bits, its efficiency in the multiplication process more than compensates for extra operations because of larger word size. Indeed, the Zeckendorf representation outpe ...
nicely typed notes
... Examples. Note that if m | (a − b), then m | (b − a), since b − a = −(a − b). • 8 and 5 have the same remainder when divided by 3 since 8−5 = 3 and 3 | 3, so 3 | (8 − 5). • 13 and 25 have the same remainder when divided by 6 since 13 − 25 = −12 and 6 | −12, so 6 | (13 − 25). • 27 and −25 have the s ...
... Examples. Note that if m | (a − b), then m | (b − a), since b − a = −(a − b). • 8 and 5 have the same remainder when divided by 3 since 8−5 = 3 and 3 | 3, so 3 | (8 − 5). • 13 and 25 have the same remainder when divided by 6 since 13 − 25 = −12 and 6 | −12, so 6 | (13 − 25). • 27 and −25 have the s ...
IL GIARDINO DI ARCHIMEDE
... 1, 2? Because these are the only tens that are produced by multiplying the numbers from 0 to 9 by 3 since 0×3, 1×3, 2×3 and 3×3 are below 10 (and so have 0 tens); 4×3 = 12, 5×3 = 15 and 6×3 = 18 produce 1 ten and the remaining numbers ×3 produce 2 tens. Now we can try to understand the meaning of th ...
... 1, 2? Because these are the only tens that are produced by multiplying the numbers from 0 to 9 by 3 since 0×3, 1×3, 2×3 and 3×3 are below 10 (and so have 0 tens); 4×3 = 12, 5×3 = 15 and 6×3 = 18 produce 1 ten and the remaining numbers ×3 produce 2 tens. Now we can try to understand the meaning of th ...
10 Sequences
... So the formula will be, u n = 6n + 1 We can check that this formula is correct by testing it on other terms, for example, the 4th term = 6 × 4 + 1 = 25 which is correct. ...
... So the formula will be, u n = 6n + 1 We can check that this formula is correct by testing it on other terms, for example, the 4th term = 6 × 4 + 1 = 25 which is correct. ...
