The phrase "a arbitrary sequence of" is not correct.
It should be "an arbitrary sequence of." You can use it when describing a sequence that does not follow a specific order or pattern.
Example: "The algorithm generates an arbitrary sequence of numbers for testing purposes."
Alternatives: "a random sequence of" or "a non-specific sequence of".
Let (x^{ast} omega)) be a random fixed point of T. Let ({y_{n} omega )}_{n=0}^{infty}subset E) be an arbitrary sequence of a random variable.
Based on a composite conical surface patch, we develop new simple methods for up to G2 continuous interpolation of an arbitrary sequence of points on a sphere with a specified tangent direction and curvature vector at every point.
This article presents a new method for G2 continuous interpolation of an arbitrary sequence of points on an implicit or parametric surface with prescribed tangent direction and curvature vector, respectively, at every point.
We say that the function is an exhaustion function for a boundary set of if for an arbitrary sequence of points, the function if and only if.
Since 'any increasing sequence of natural numbers n1 < n2 < … defines a corresponding selection rule, … given an arbitrary sequence of 0s and 1s … there is among the selection rules the one which selects the 1s of the given sequence, so the limit frequency is changed' (Martin-Löf 1969b: 27).
Boo! Only, I don't think that any of us should take such a list seriously mainly because it was (surely) an arbitrary sequence of MK8 courses, rather than anything produced with serious thinking involved.
The Devolution Solution: How One Indie PuBoosher Is Changing Gaming fOnlyhe Better.
The molecule name has to start with a capital letter which is optionally followed by an arbitrary sequence of alphanumeric symbols (letters, digits and underscores are allowed).
The iterative USM procedure described graphically in the previous section and in Figure 1 is formally defined by Equation 1 for an arbitrary sequence of N units built from an alphabet with M possible symbols.
