If the deterministic part of variation ( " drift " ) is defined externally as a linear function of some auxiliary variables, rather than the coordinates, the term " kriging with external drift " ( KED ) is preferred.
22.
Since we no longer need a, we can instead overwrite it with its own reversal using this in-place algorithm which will only need constant number ( 2 ) of integers for the auxiliary variables i and tmp, no matter how large the array is.
23.
Wrapper functions can be used to validate parameters ( so the recursive function can skip these ), perform initialization ( allocate memory, initialize variables ), particularly for auxiliary variables such as " level of recursion " or partial computations for memoization, and handle exceptions and errors.
24.
In other words, in this case, Cardano's method and Lagrange's method compute exactly the same things, up to a factor of three in the auxiliary variables, the main difference being that Lagrange's method explains why these auxiliary variables appear in the problem.
25.
In other words, in this case, Cardano's method and Lagrange's method compute exactly the same things, up to a factor of three in the auxiliary variables, the main difference being that Lagrange's method explains why these auxiliary variables appear in the problem.
26.
1904 : Lorentz derived the previous relations in a more detailed way, namely with respect to the properties of particles resting in the system \ Sigma'and the moving system \ Sigma, with the new auxiliary variable l equal to 1 / \ epsilon compared to the one in 1899, thus:
27.
For example, an auxiliary variable may be defined in a block, then used ( say, added to a variable with function scope ) and discarded when the block ends, or a while loop might be enclosed in a block that initializes variables used inside the loop that should only be initialized once.
28.
A representative example of the use of block scope is the C code shown here, where two variables are scoped to the loop : the loop variable n, which is initialized once and incremented on each iteration of the loop, and the auxiliary variable n _ squared, which is initialized at each iteration.
29.
Again, modifications of I would not affect the control of the loop, but now a disjunction is possible : within the loop, references to the value of I might be to the ( possibly altered ) current value of I or to the auxiliary variable ( held safe from improper modification ) and confusing results are guaranteed.
30.
For instance, within the loop a reference to element I of an array would likely employ the auxiliary variable ( especially if it were held in a machine register ), but if I is a parameter to some routine ( for instance, a " print "-statement to reveal its value ), it would likely be a reference to the proper variable I instead.
