However, due to the multivalued nature of complex power functions for non-integer exponents, one must be careful to specify the branch of the complex logarithm being used.
32.
When " y " is a dyadic fraction, the power function, may be composed from multiplication, multiplicative inverse and square root, all of which can be defined inductively.
33.
Calculus provides rules for computing the derivatives of functions that are given by formulas, such as the power function, trigonometric functions, exponential function, logarithm, and their various combinations.
34.
Note that because (-1 ) ^ r does not have a conventional definition when r is not a rational number, irrational power functions are not well defined for negative bases.
35.
It should be noted, that while this is a " Power Functions " setup, this particular setup existed only for the Emerald Night, as a new motor was in development.
36.
"Showing the LQI, L as a power function of E, the health-adjusted life expectancy ( HALE ) at birth and G, the Gross Domestic Product ( GDP ) per person.
37.
Although he has not yet been observed utilizing all the applications of his telepathy that his brother Gage exhibited, it has been otherwise observed that his powers function exactly as Gage's did.
38.
The operational shaft on the right side powers functions such as spacing, backspacing, and case shifting, as well as serving as a governor, limiting the left-to-right speed with which the carrier moves.
39.
Other distributions sometimes used to characterise particle size include : the power function distribution, occasionally applied to atmospheric aerosols; the exponential distribution, applied to powdered materials; and for cloud droplets, the Khrgian-Mazin distribution.
40.
Thus, Equation 2 states that relative resistance to change is a power function of the relative rate of reinforcement across stimulus contexts, with the " a " parameter indicating sensitivity to relative reinforcement rate.
