A fractional polynomial was used to relate the odds of death to PRBCs received by logistic regression; these polynomials allow great flexibility by combining combinations of integer powers (such as squares and cubes) and noninteger powers such as one-half (square root), one third (cubic root), and others.
This polynomial is a linear combination of integer powers such as the second-order terms (dk2, dkdk′) via Equations 3, 16, and 25 of Appendix 3, fourth-order terms (dk4, dk3dk′, dk2dk′2, dk2dk′dk″, dkdk′dk″dk″′) via Equation 17, as well as the fourth term in Equation 2 which yields third-order terms (λdk2, λdkdk′) and the single particular first-order term λN.
The sampled sinusoids generated by integer powers of the roots of unity are plotted in Fig.6.2.
Notice that we choose N p as an integer power of two in order to optimize the DFT processing.
The model predicts that cancer incidence, I, will increase as an integer power of attained age, a, with the integer, depending on the number of stages, k, required for cancer induction.
For each k ∈ N 0, the sum M k ( n ) = ∑ i = 0 n ( − 1 ) k i k is known as the sum of alternative integer powers.
In the base 2 (binary) number system, integer powers of 2 are written as 1 followed or preceded by a number of zeroes determined by the sign and magnitude of the exponent.
In the base ten (decimal) number system, integer powers of 10 are written as the digit 1 followed or preceded by a number of zeroes determined by the sign and magnitude of the exponent.
Integer powers of nonzero complex numbers are defined by repeated multiplication or division as above.
The integer powers of one are all one:.
All multiples are integer powers of ten, and above a hundred or below a hundredth all are integer powers of a thousand.
