prescribed functions

USAGE SUMMARY

"prescribed functions" is correct and usable in written English. You can use it in contexts where specific roles or tasks are defined or mandated. For example: "The software must perform the prescribed functions to ensure compliance." Alternative expressions include "designated functions" and "specified functions."

✓ Grammatically correct

Science

Engineering

Mathematics

Human-verified examples from authoritative sources

Exact Expressions

8 human-written examples

The temperature at the ends, (x=0) and (x=pi) are determined by prescribed functions of t.

Advances in Difference Equations

The problem of the representation of an arbitrary function by means of linear combinations of prescribed functions has received a lot of attention in approximation theory.

Journal of Inequalities and Applications

It is well known that a special case of this problem directly leads to the Taylor series expansion where the prescribed functions are monomial bases [6].

Journal of Inequalities and Applications

In this model, the rotational and translational motions of the bit are obtained as a result of the overall dynamic behavior rather than prescribed functions or constants.

Journal of Sound and Vibration

Consider the standard Poisson equation with a Dirichlet boundary condition begin{aligned} &Delta u=g quadmbox{in } varOmega, &u=f quadmbox{on } varGamma =partial varOmega, end{aligned} (3.22) for prescribed functions f and g.

Journal of Inequalities and Applications

In the experiments, the vector solution u* is prefixed and is composed by the values of prescribed functions u x, y, t) defined on [a, b] × [a, b] × [0, ∞). In all the experiments, we have a = 0 and b = 1.

Advances in Difference Equations

Human-verified similar examples from authoritative sources

Similar Expressions

52 human-written examples

Let (M,〈·,·〉 be a complete Riemannian surface and (kappa : M to mathbb {R}) be a prescribed function.

Pacific Journal of Mathematics for Industry

As a result, a general formula is derived for calculation of the design parameters of a planar four-bar linkage using the Fourier coefficients of the prescribed function.

Mechanism and Machine Theory

With respect to the prescribed performance control, we mean that the system variables converge to an arbitrary small region of the origin with convergence rate no less than a certain prescribed function.

Neurocomputing

However, the lack of performance enhancement may be related to the strong asymmetry of the hybrid composition functions [29] and the maximum number of prescribed function evaluations preventing the identification of an effective (lambda ) value [49].

Complex & Intelligent Systems

The thermal conductivity of the bar is a function of the time, there is a continuous source of heat along the bar, and the initial temperature at each point of the bar is given by a prescribed function.

Advances in Difference Equations

Expert writing Tips

Best practice

When using "prescribed functions", ensure that the context clearly indicates who or what is doing the prescribing. This adds clarity and avoids ambiguity.

Common error

While technically correct, using "prescribed functions" in everyday conversation can sound overly formal. Opt for simpler alternatives like "required tasks" or "assigned duties" in non-technical settings.

Linguistic Context

The phrase "prescribed functions" primarily serves as a modifier to describe nouns. It specifies that certain functions are not arbitrary, but rather predetermined or mandated. Ludwig AI confirms its correct usage in contexts where roles or actions are explicitly defined.

Expression frequency: Uncommon

Frequent in

Science

88%

Engineering

6%

Encyclopedias

3%

Less common in

News & Media

1%

Formal & Business

1%

Wiki

0%

Ludwig's WRAP-UP

In summary, "prescribed functions" is a grammatically sound phrase that is primarily used in formal and scientific contexts to denote predetermined or mandated actions or roles. Ludwig AI validates its correct usage, highlighting its role in conveying specificity and authority. While the phrase is not particularly common, it is consistently used in technical domains. When writing, ensure that the context makes it clear who or what is doing the prescribing and, in more general contexts, consider simpler alternatives. The most frequent source for this expression is Science.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

defined functions

Focuses on the act of definition rather than prescription.

designated functions

Emphasizes assignment or designation of functions.

specified functions

Highlights the detailed specification of the functions.

predetermined functions

Underscores that the functions were decided in advance.

mandated functions

Suggests that the functions are required by a mandate or rule.

stipulated functions

Indicates that the functions are agreed upon as part of a condition or agreement.

prescribed roles

Replaces "functions" with "roles", emphasizing the assigned duties.

set functions

Suggests that the functions are established or fixed.

required functions

Focuses on the necessity of the functions.

predefined operations

Highlights the operational aspect of the functions and their prior definition.

FAQs

How to use "prescribed functions" in a sentence?

You can use "prescribed functions" to describe specific tasks or roles that are defined or mandated within a system or process. For instance, "The software performs the "prescribed functions" to ensure data integrity".

What can I say instead of "prescribed functions"?

You can use alternatives like "defined functions", "designated functions", or "specified functions" depending on the context.

Which is correct, "prescribed functions" or "prescribed function"?

The correct form depends on whether you're referring to multiple functions or a single one. Use "prescribed function" for a single function and "prescribed functions" for multiple.

What's the difference between "prescribed functions" and "required functions"?

"Prescribed functions" often imply a formal or technical definition, while "required functions" simply means necessary actions or duties. The former is more common in technical and formal contexts.