an open formula

USAGE SUMMARY

The phrase "an open formula" is correct and usable in written English.
It can be used in contexts related to mathematics, logic, or programming where a formula is not restricted or is flexible in its application. Example: "In this study, we will analyze an open formula that can be adapted to various scenarios in data analysis."

✓ Grammatically correct

Science

News & Media

Human-verified examples from authoritative sources

Exact Expressions

15 human-written examples

Are they "term-forming operators" which turn an open formula into a name for a function, or simply a syntactic device, a placeholder, for indicating the variable for which a substitution can made in an open formula?

SEP

Necessitating directly an open formula, without first closing it, amounts to assuming what is to be proved.

SEP

(3) When replace one of the complete names in a sentence by a variable, the resulting expression will be called an open sentence or an open formula.

SEP

This operator is an indefinite description operator that was introduced by Hilbert to designate some object x that satisfies an open formula φ.

SEP

It is equally possible to define the more general notion of a formula function, in an analogous way, except that now S may be an open formula.

SEP

So, Ω x) is an open formula with x as its only free variable, and Ω[mˆ] is the result of evaluating this formula in M under the assumption that x designates mˆ (see footnote 1).

SEP

Human-verified similar examples from authoritative sources

Similar Expressions

45 human-written examples

Or to put it another way: if the forbidden is essential to sexual excitement, and our culture dictates that almost nothing is forbidden except inequality, we are stuck with a compassionate and open formula that is morally admirable but all the same ensures dullness in the bedroom.

The New York Times - Magazine

How you do that and whether you do that through a much more open formula - where you are able to trade for instance the weight of the power unit against the weight of the car - is another matter.

BBC

Consider, for example, the formula t=t, where t is empty, which is an instance of the open formula x=x.

SEP

This principle asserts the existence of a concept corresponding to every open formula of the form φ(x) with free variable x, no matter how complex φ is.

SEP

Nine week old males were fed either standard chow (NIH-31 Open Formula, Zeigler) or a 4.73 kcal/g HFD with 45% kcal from fat and 35% kcal from carbohydrates (D12451, Research Diets) for 10 weeks.

Plosone

Expert writing Tips

Best practice

When using "an open formula", ensure that the context clearly indicates the area in which the formula is open or flexible. Specificity enhances understanding.

Common error

Avoid using "an open formula" when you actually mean that the formula is not well-defined or is ambiguous. "Open" implies flexibility, not a lack of clarity.

Linguistic Context

The phrase "an open formula" functions primarily as a noun phrase, often serving as a subject or object in a sentence. It identifies a specific type of formula that is adaptable and flexible, as confirmed by Ludwig.

Expression frequency: Uncommon

Frequent in

Science

60%

News & Media

20%

Formal & Business

20%

Less common in

Encyclopedias

0%

Wiki

0%

Reference

0%

Ludwig's WRAP-UP

In summary, "an open formula" is a noun phrase used to describe a flexible and adaptable formula, predominantly in scientific and technical contexts. As verified by Ludwig, its function is to indicate the adjustability of a method or system. While "an open formula" is not overly common, its precise meaning and formal register make it suitable for academic, scientific, and technical discussions. Related phrases such as "a flexible equation" or "a general expression" can serve as alternatives depending on the specific context. Remember to use "an open formula" when you need to emphasize adaptability rather than a lack of clarity.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

a flexible equation

Focuses on the adaptability of the formula.

a general expression

Highlights the broad applicability of the expression.

a non-restrictive rule

Emphasizes the lack of constraints in the rule.

a customizable algorithm

Implies the algorithm can be tailored to specific needs.

a versatile method

Suggests the method has many uses.

an adaptable system

Stresses the ability of the system to change.

a dynamic model

Indicates the model is subject to change and adaptation.

a scalable solution

Highlights the solution's ability to handle increasing demands.

an extensible paradigm

Focuses on the paradigm's capacity for growth and expansion.

a modifiable structure

Emphasizes the ability to alter the structure.

FAQs

How can I use "an open formula" in a sentence?

You can use "an open formula" when describing a method, equation, or approach that is flexible and can be adapted to different scenarios. For example, "The model utilizes "an open formula" allowing adjustments based on new data."

What does "an open formula" mean?

"An open formula" refers to a model, equation, or framework that is not rigidly defined and allows for modifications or adaptations based on specific conditions or new information. It is designed to be flexible and accommodating.

Which is more appropriate, "an open formula" or "a closed formula"?

The choice between "an open formula" and "a closed formula" depends on the context. Use "an open formula" when the situation requires flexibility and adaptability. Use "a closed formula" when a precise and fixed method is needed. The appropriateness hinges on the need for adaptability versus rigidity.

Are there similar phrases to "an open formula"?

Yes, you can use phrases like "a flexible equation", "a general expression", or "a non-restrictive rule" depending on the specific nuance you want to convey.