for a given mapping

USAGE SUMMARY

The phrase "for a given mapping" is correct and usable in written English.
It can be used in contexts related to mathematics, computer science, or any field where mappings or functions are discussed. Example: "The output of the function can be determined for a given mapping of inputs to outputs."

✓ Grammatically correct

Science

Human-verified examples from authoritative sources

Exact Expressions

27 human-written examples

Throughout this paper, for a given mapping, let be the mappings defined by.

Journal of Inequalities and Applications

For a given mapping, let (3.1).

Journal of Inequalities and Applications

For a given mapping, we define (3.3).

Journal of Inequalities and Applications

For a given mapping, we define.

Journal of Inequalities and Applications

For convenience, we use the following abbreviation for a given mapping.

Journal of Inequalities and Applications

The generalized vector unilateral optimization problem (GVUOP): for a given mapping, finding such that.

Journal of Inequalities and Applications

Human-verified similar examples from authoritative sources

Similar Expressions

33 human-written examples

For identification of SNPs, tags for two genotypes of a given mapping population were aligned with 127 754 TUSs (the pigeonpea transcriptome assembly), and variants were identified using the Alpheus program of NCGR.

DNA Research

Here and below, for a given map F, (F^{n}) denotes its nth iterate.

Journal of Inequalities and Applications

Another approach for controlling the vehicle motion is the use of controller design methods based on kinematic models without pre-calculating the optimal paths for a given map.

ROBOMECH Journal

Although the switches occur aperiodically depending on the shapes of the obstacles and the robot, the robot that employs the proposed controller can reach a given target position without pre-calculating the optimal paths for a given map.

ROBOMECH Journal

According to the classic MAP empirical formula, and for a given MAP, an increase in arterial stiffness increases SAP twofold more than it decreases DAP.

Critical Care

Expert writing Tips

Best practice

When using "for a given mapping", ensure the mapping is clearly defined or understood within the context to avoid ambiguity.

Common error

Avoid using "for a given mapping" without explicitly defining or referencing the specific mapping in question, as this can lead to confusion and misinterpretation.

Linguistic Context

The phrase "for a given mapping" functions as a prepositional phrase that modifies a noun or clause. According to Ludwig, it introduces a specific context or condition under which a mathematical or logical operation is considered. It serves to set the stage for further analysis or explanation.

Expression frequency: Uncommon

Frequent in

Science

100%

Less common in

News & Media

0%

Formal & Business

0%

Wiki

0%

Ludwig's WRAP-UP

The phrase "for a given mapping" is a prepositional phrase commonly used in scientific and mathematical contexts to establish a specific condition or context for a function or transformation. As demonstrated by Ludwig, it sets the stage for subsequent analysis or operations that depend on the specified mapping. The phrase is grammatically sound and generally formal, appearing in academic and scientific papers. When using "for a given mapping", ensure the mapping is clearly defined to avoid ambiguity. In summary, it's a precise way to introduce a function or transformation upon which further analysis depends.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

with a specified map

Replaces the adjective "given" with "specified" and uses the noun "map" instead of "mapping", which has the same semantic meaning.

under a defined mapping

Uses "defined" in place of "given", emphasizing the mapping is pre-established and replaces the preposition.

considering a particular mapping

Replaces "given" with "particular", highlighting a specific mapping being taken into account and replaces the preposition.

assuming a certain mapping

Uses "assuming" to set a condition and "certain" to specify the mapping.

for a designated map

Substitutes "given" with "designated", which implies a specific mapping has been chosen or assigned and replaces the word mapping with "map", which has the same semantic meaning.

with a predetermined mapping

Replaces "given" with "predetermined", stressing the mapping was decided in advance.

in light of a defined mapping

Emphasizes that something is being considered or understood based on a specified mapping.

relative to a specific mapping

Highlights the relationship or dependency on a clearly identified mapping.

based on a selected mapping

Indicates that something is derived or predicated on a chosen mapping.

given a map

Shortened form using the noun "map" instead of "mapping", keeping the meaning similar and removing preposition.

FAQs

How can I use "for a given mapping" in a sentence?

You can use "for a given mapping" to specify a particular function or transformation being considered. For example, "For a given mapping f, we can determine the image of any element in the domain".

What does "for a given mapping" mean?

It means considering a particular function or transformation that is specified or understood within the current context. It sets the condition or framework for further analysis or operations.

Which is more appropriate, "for a given mapping" or "for a specific mapping"?

"For a given mapping" and "for a specific mapping" are often interchangeable. The choice depends on the desired emphasis; "given" implies pre-existence or assumption, while "specific" emphasizes particularity.

Are there formal alternatives to "for a given mapping"?

Yes, formal alternatives include "with a specified map" or "under a defined mapping", which may be more suitable in highly technical or mathematical contexts.