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For example, the difference between 2.47 and 3 is about 19%, while the difference from 2 is about 21%, so 2.47 is rounded up. This method is used for allotting seats in the US House of Representatives among the states. [1]
The main objective of interval arithmetic is to provide a simple way of calculating upper and lower bounds of a function's range in one or more variables. These endpoints are not necessarily the true supremum or infimum of a range since the precise calculation of those values can be difficult or impossible; the bounds only need to contain the function's range as a subset.
In the example below, the divisor is 101 2, or 5 in decimal, while the dividend is 11011 2, or 27 in decimal. The procedure is the same as that of decimal long division ; here, the divisor 101 2 goes into the first three digits 110 2 of the dividend one time, so a "1" is written on the top line.
If necessary, one can add trailing zeros to a shorter decimal to make it the same length as the longer decimal. Finally, one performs the same addition process as above, except the decimal point is placed in the answer, exactly where it was placed in the summands. As an example, 45.1 + 4.34 can be solved as follows:
For example, a 5.0 earthquake releases 32 times (10 1.5) and a 6.0 releases 1000 times (10 3) the energy of a 4.0. [61] Apparent magnitude measures the brightness of stars logarithmically. [62] In chemistry the negative of the decimal logarithm, the decimal cologarithm, is indicated by the letter p. [63]
The convergents of the continued fraction for φ are ratios of successive Fibonacci numbers: φ n = F n+1 / F n is the n-th convergent, and the (n + 1)-st convergent can be found from the recurrence relation φ n+1 = 1 + 1 / φ n. [31] The matrix formed from successive convergents of any continued fraction has a determinant of +1 or −1.
Parties Seats Popular vote 2012 2014 Net change Strength Vote % Change Republican Party: 234 247: 13 56.8% 40,081,282 51.2% +3.6% Democratic Party
For example, in John Fox Jr.'s aforementioned 1903 novel The Little Shepherd of Kingdom Come, the rule is cited immediately before a woman is described as being "too young [for her potential partner], and she can wait." [84] A 2000 study found that the rule was fairly accurate at describing the minimum age of a woman that a man would marry or date.
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