The phrase "a given order of" is correct and usable in written English.
It can be used when referring to a specific arrangement or sequence of items or elements that has been established or assigned.
Example: "In this experiment, we will analyze the results based on a given order of the samples."
Alternatives: "a specified sequence of" or "a particular arrangement of".
It is significantly more accurate than FMM for a given order of expansion.
Each iteration in our iterative numerical simulation has a one-to-one correspondence to a given order of approximation in Khachatuyran's perturbation method.
Π(G) denotes the set of prime divisors of |G| and |Π(G |, the number of the element of the set Π(G). nse(G) denotes the number of elements of a given order of G.
For a given order of Taylor approximation, the treecode CPU time scales as O(NlogN) and the memory usage scales as O(N), where N is the number of particles.
The results demonstrate that the shell models obtained from the BTD using non-polynomial terms can improve the accuracy obtained from Maclaurin expansion for a given order of expansion of a displacement field.
The term non-uniqueness is used here in the sense that various homogenisation strategies may lead to distinct governing equations that usually, for a given order of the governing equation, approximate the original problem with the same asymptotic accuracy.
To search for an optimal network, we start with a given ordering of genes.
For a given ordering of taxa, each posterior tree provides ages according to its topology.
The proof of the existence of extremal solutions within a given order interval of sub- and supersolutions is the main goal of this paper.
This is especially true for the notions of set and collection in general, for the basic syntactical and semantical concepts of standard classical logic (logical languages of a given order, the notion of satisfiability, definability).
The ratio of number of segments of a given order (Nu) to the number of segment of higher order (Nu + 1) is termed as bifurcation ratio (Strahler 1964).
