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radical function
Grammar usage guide and real-world examplesUSAGE 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
Alternative expressions(5)
Table of contents
Usage summary
Human-verified examples
Expert writing tips
Linguistic context
Ludwig's wrap-up
Alternative expressions
FAQs
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.
News & Media
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.
Science
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.
Science
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
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.
Science
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.
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.
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.
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.
More alternative expressions(6)
Phrases that express similar concepts, ordered by semantic similarity:
root function
Replaces "radical" with a more common mathematical term for functions involving roots.
extreme role
Changes the context from mathematics to a general role that is very significant or impactful.
fundamental operation
Emphasizes the basic or essential nature of a function.
critical purpose
Focuses on the essential and indispensable nature of a function.
revolutionary effect
Highlights the transformative impact of a function.
transformative influence
Shifts the emphasis to the power of a function to cause significant change.
innovative mechanism
Highlights the novel and inventive aspect of a function.
groundbreaking activity
Emphasizes the pioneering and precedent-setting nature of a function.
pivotal role
Emphasizes the critical and decisive nature of a function.
essential component
Focuses on the indispensable nature of a function within a system.
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.
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Table of contents
Usage summary
Human-verified examples
Expert writing tips
Linguistic context
Ludwig's wrap-up
Alternative expressions
FAQs
Source & Trust
86%
Authority and reliability
4.1/5
Expert rating
Real-world application tested