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Illustration of the filling of the unit interval (horizontal axis) using the first n terms of the decimal Van der Corput sequence, for n from 0 to 999 (vertical axis). A van der Corput sequence is an example of the simplest one-dimensional low-discrepancy sequence over the unit interval; it was first described in 1935 by the Dutch mathematician J. G. van der Corput.
If it can be proved that if a decimal of the form ... is a positive integer, then it must be 0.999..., which is then the source of the 9s in the theorem. [47] Investigations in this direction can motivate such concepts as greatest common divisors , modular arithmetic , Fermat primes , order of group elements, and quadratic reciprocity .
Rank Country CO 2 kg/$ ; 1 North Korea 1.26 2 Trinidad and Tobago 0.92 3 Mongolia 0.85 4 Turkmenistan 0.73 5 Libya 0.69 6 Lesotho 0.66 7 Bahrain 0.64 8 South Africa 0.56 9 Kazakhstan
Difference in 1995: 0.71 ECI points for Thailand; Difference in 2015: 1.28824 ECI points for Thailand; Increase for Egypt 1995-2015: 0.18037 ECI Points
The respiratory quotient (RQ) is the ratio: RQ = CO 2 eliminated / O 2 consumed. where the term "eliminated" refers to carbon dioxide (CO 2) removed from the body in a steady state.
The generalized chi-squared distribution is obtained from the quadratic form z'Az where z is a zero-mean Gaussian vector having an arbitrary covariance matrix, and A is an arbitrary matrix. Gamma, exponential, and related distributions
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On Monday 10 July 1967 ("Decimal Currency Day"), the New Zealand dollar was introduced to replace the pound at a rate of two dollars to one pound (one dollar to ten shillings, ten cents to one shilling, 5 ⁄ 6 cent to a penny). [12] Some 27 million new banknotes were printed and 165 million new coins were minted for the changeover. [9]