explicit function

In an explicit function definition, the result is defined by means of an expression over the inputs.

The correctness of an explicit function definition with respect to an implicit specification may be defined as follows.

For example, while the internal energy is an explicit function of the extensive variables entropy, volume (and chemical composition)

There is an explicit function which has been demonstrated to be one-way if and only if one-way functions exist.

Proofs for their existence would imply proofs of lower bounds on the circuit complexity of certain explicit functions.

The Euler method is explicit, i.e. the solution is an explicit function of for .

This function normally can be manipulated by using algebra to change this equation to one expressing y in terms of an explicit function:

This distribution has effectively only two parameters a, b, as the other two are explicit functions of the support defined by the former two parameters:

By applying principles of evolutionary biology, the model predicts that implicit cognitive functions should display features that distinguish it from explicit functions.

If the Hamiltonian is not an explicit function of time, the equation is separable into its spatial and temporal parts, i.e. .

The Dittus-Boelter equation (for turbulent flow) is an explicit function for calculating the Nusselt number.

He said that "the explicit function of the attacks was to terrorize the population through mass slaughter and to confront its leaders with the prospect of national annihilation."

Explain and critically discuss the proposition that the Black-Scholes model demonstrates how an option's value is an explicit function of the characteristics of the underlying asset.

Concerning wind power forecasting, structural models would be those that include a modeling of the diurnal wind speed variations, or an explicit function of meteorological variable predictions.

In mathematics, parametric equations are a method of expressing a set of related quantities as explicit functions of a number of independent variables, known as "parameters."

An alternate definition, due to Gödel, characterizes each L as the intersection of the power set of L with the closure of under a collection of nine explicit functions.

Each Laplace invariant is an explicit polynomial condition of factorization; coefficients of this polynomial are explicit functions of the coefficients of the initial LPDO.

Similarly, if f is analytic inside U x V, then the same holds true for the explicit function g inside U. This generalization is called the analytic implicit function theorem.

The Tariff of 1816 (also known as the Dallas tariff) is notable as the first tariff passed by Congress with an explicit function of protecting U.S. manufactured items from foreign competition.

Pearl defines counterfactuals directly in terms of a "structural equation model" - a set of equations, in which each variable is assigned a value that is an explicit function of other variables in the system.

Their auxiliary functions were not explicit functions, then, but by knowing that a certain function with certain properties existed, they used its properties to simplify the transcendence proofs of the nineteenth century and give several new results.

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).

The algebraic-geometric methods guarantee that the pentagram map exhibits quasi-periodic motion on a torus (both in the twisted and the ordinary case), and they allow one to construct explicit solutions formulas using Riemann theta functions (i.e., the variables that determine the polygon as explicit functions of time).

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.

Prior to Wallis's formalization of fractional and negative powers, which allowed explicit functions these curves were handled implicitly, via the equations and (p and q always positive integers) and referred to respectively as higher parabolae and higher hyperbolae (or "higher parabolas" and "higher hyperbolas").