explicit function in a sentence

Examples

1. The Euler method is explicit, i . e . the solution y _ { n + 1 } is an explicit function of y _ i for i \ leq n.
2. Is it possible to derive an explicit function of longitude in terms of latitude for a path of constant bearing ? talk ) 16 : 12, 20 February 2010 ( UTC)
3. with the assumption that the plane wave \ omega and \ vec { \ mathbf { k } } are not explicit functions of t or \ vec { \ mathbf { x }}
4. "An alternate definition, due to G�del, characterizes each L _ ( ? + 1 ) as the intersection of the powerset of L _ ? with the closure of L _ ? under a collection of nine explicit functions ."
5. Deriving a, b and c as explicit functions of t in this case shows that the solution set only has one degree of freedom, and there is no solution in which b = 3 and a = 4 at the same time.
6. New suggested capabilities include new controls over data movement ( such as better handling of unstructured data and improvements in support for non-contiguous memory ), and support for explicit function calls and separate compilation ( allowing the creation and reuse of libraries of accelerated code ).
7. An alternate definition, due to G�del, characterizes each L ? + 1 as the intersection of the power set of L ? with the closure of L _ \ alpha \ cup \ { L _ \ alpha \ } under a collection of nine explicit functions, similar to G�del operations.
8. Each Laplace invariant is an explicit polynomial condition of factorization; coefficients of this polynomial are explicit functions of the coefficients of the initial LPDO . The polynomial conditions of factorization are called "'invariants "'because they have the same form for equivalent ( i . e . self-adjoint ) operators.
9. Reasoning from physics ( and not by heuristically extrapolating deterministic reaction rates to a stochastic context ), he showed that the " probability " that a specific reaction will occur in the next very small time " dt " could be written as an explicit function of the current species populations multiplied by " dt ".
10. This means that if a particular economy is broken down into sub-regions, and an inequality metric is computed for each sub region separately, then the measure of inequality for the economy as a whole should be a weighted average of the regional inequalities plus a term proportional to the inequality in the averages of the regions . ( in a weaker form, it means that it should be an explicit function of sub-regional inequalities, though not necessarily linear ).