Used and loved by millions

Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak quote

Justyna Jupowicz-Kozak

CEO of Professional Science Editing for Scientists @ prosciediting.com

MitStanfordHarvardAustralian Nationa UniversityNanyangOxford

radical function

Grammar usage guide and real-world examples

USAGE SUMMARY

The phrase "radical function" is correct and usable in written English.
It is typically used in mathematics to refer to a function that involves a root, such as a square root or cube root. Example: "The graph of the radical function f(x) = √x shows a curve that starts at the origin and increases as x increases."

✓ Grammatically correct

Science

News & Media

Human-verified examples from authoritative sources

Exact Expressions

2 human-written examples

In the Detroit magazine Creem, which always championed loud guitar rock, Gene Sculatti wrote: "Serving its radical function, the Ramones' debut drives a sharp wedge between the stale ends of a contemporary music scene bloated with graying superstars and overripe for takeover.

As reported for the other peroxidases, the heme moiety of MPO undergoes characteristic conversions from the ferric state to the oxo-ferryl states: Compound I (which has an additional porphyryl radical function) and Compound II [40].

Human-verified similar examples from authoritative sources

Similar Expressions

58 human-written examples

Beyond traditional polymer stabilization, sterically hindered piperidine derivatives move into new application areas where radical functions are key elements.

In this paper, the generalized Hyers-Ulam-Rassias stability problem of radical quadratic and radical quartic functional equations in quasi-β-Banach spaces and then the stability by using subadditive and subquadratic functions for radical functional equations in ( β, p ) -Banach spaces are given.

The results also indicated that OH radicals functioned as the main active species for the photocatalytic degradation of thiamethoxam.

The ring-opening metathesis polymerization (ROMP) of these functional monomers was carried out with typical ruthenium catalyst [bis tricyclohexylphosphine benzylidene ruthenium(IV) dichloride] that was so called as first-generation Grubbs catalyst to prepare hindered phenol functionalized polymers possessing radical scavenging function.

Science

Polymer

It can perform both the linear space discrimination and nonlinear classification by choosing different kernel functions which can be linear, polynomial kernel, radical basis function (RBF) and sigmoid.

Theorem 2.12 Let f : R → Y be a ψ-approximatively radical quadratic function with f ( 0 ) = 0. Assume that the function ψ is expansively superquadratic with a constant L satisfying 2 4 β − 2 L < 1.

Theorem 2.10 Let f : R → Y be a ϕ-approximatively radical quadratic function with f ( 0 ) = 0. Assume that the function ϕ is expansively superadditive with a constant L satisfying 2 2 β − 1 L < 1.

Theorem 2.11 Let f : R → Y be a ψ-approximatively radical quadratic function with f ( 0 ) = 0. Assume that the function ψ is contractively subquadratic with a constant L satisfying 2 2 − 4 β L < 1.

From now on, we establish the modified Hyers-Ulam-Rassias stability of the equations (1.3) and (1.4) in a ( β, p ) -Banach space Y. Theorem 2.9 Let f : R → Y be a ϕ-approximatively radical quadratic function with f ( 0 ) = 0. Assume that the function ϕ is contractively subadditive with a constant L satisfying 2 1 − 2 β L < 1.

Show more...

Expert writing Tips

Best practice

When using "radical function" in mathematical or scientific writing, ensure the context clearly indicates that you are referring to a function involving roots. If the context is not mathematical, consider alternative phrasing that better reflects the intended meaning.

Common error

Avoid using "radical function" loosely in non-technical writing where "radical" might be interpreted in its general sense of "extreme" or "fundamental" rather than referring to mathematical roots. Choose more descriptive language to prevent confusion.

Antonio Rotolo, PhD - Digital Humanist | Computational Linguist | CEO @Ludwig.guru

Antonio Rotolo, PhD

Digital Humanist | Computational Linguist | CEO @Ludwig.guru

Source & Trust

86%

Authority and reliability

4.1/5

Expert rating

Real-world application tested

Linguistic Context

The phrase "radical function" primarily functions as a noun phrase, where "radical" acts as an adjective modifying "function". Ludwig AI indicates it is generally used in mathematical or scientific contexts to describe functions involving roots.

Expression frequency: Rare

Frequent in

Science

66%

News & Media

34%

Formal & Business

0%

Less common in

Academia

0%

Encyclopedias

0%

Wiki

0%

Ludwig's WRAP-UP

In summary, the phrase "radical function" is a technical term primarily used in mathematics and science to describe functions involving roots. While grammatically sound, Ludwig AI shows it's relatively uncommon and carries specific technical connotations. When using it, ensure the context clearly indicates a mathematical meaning to avoid ambiguity. Alternative phrasing like "root function" may be more appropriate in certain cases to avoid confusion.

FAQs

What does "radical function" mean in mathematics?

In mathematics, a "radical function" is a function that contains a radical expression, often involving square roots, cube roots, or other roots. For an alternative check "root function".

Can "radical function" be used outside of mathematics?

While technically correct, using "radical function" outside of its mathematical context can lead to confusion, as "radical" has other meanings. Consider using alternative phrases that better convey your intended meaning. For example "extreme role", "fundamental operation", "critical purpose".

What are some examples of radical functions?

Examples of radical functions include f(x) = √x (square root function), f(x) = ∛x (cube root function), and f(x) = √(x^2 + 1). These functions involve taking the root of a variable expression.

Is there a difference between "radical function" and "root function"?

The terms "radical function" and "root function" are often used interchangeably in mathematics. Both refer to functions that involve taking the root of an expression. "Root function" might be slightly more common in some contexts.

ChatGPT power + Grammarly precisionChatGPT power + Grammarly precision
ChatGPT + Grammarly

Editing plus AI, all in one place.

Stop switching between tools. Your AI writing partner for everything—polishing proposals, crafting emails, finding the right tone.

Source & Trust

86%

Authority and reliability

4.1/5

Expert rating

Real-world application tested

Most frequent sentences: