Farrel Polynomials: Is It the Same as "Feral"?

In summary, Farrel polynomials are a type of mathematical function named after John Farrel, used to model data and describe relationships between variables. They differ from other types of polynomials in that they include a logarithmic term. They are not the same as "feral" polynomials, as "feral" refers to something wild or untamed. Applications of Farrel polynomials include statistics, economics, engineering, signal processing, and control systems. However, they are best suited for approximating functions with a logarithmic term and may not be as effective for other types of functions.
  • #1
Skins
74
4
Is there such a thing as a "feral polynomial" ? Saw it mentioned on an Internet forum where someone claimed to be studying "feral polynomials". Closes I could find were "Farrel polynomials" .
 
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  • #2
"Feral" mean "wild" so I am inclined to think the person meant (and misspelled) "Farrel polynomials".
 
  • #3
Hi SKins! :smile:

See page 11, http://www.math.hawaii.edu/~ron/pdfpapers/maininvariant.pdf :wink:
 
  • #4
Aha! That would explain all those polynomials that keep attacking me! They are "feral".
 
  • #5


I can confirm that there is no such thing as a "feral polynomial." The term "feral" typically refers to animals that have escaped domestication and are living in the wild. In the context of mathematics, it does not make sense to apply this term to polynomials.

The term "Farrel polynomials" is likely a misspelling or misinterpretation of "Faber polynomials" or "Faber series." These are a type of mathematical series used in approximation theory. It is possible that the person on the internet forum was referring to these polynomials and simply made a mistake in the name.

In any case, it is important to be cautious about information found on the internet, especially when it comes to scientific topics. It is always best to consult reliable sources and experts in the field to ensure accurate information.
 

What are Farrel Polynomials?

Farrel polynomials are a type of mathematical function that is used to model data or describe relationships between variables. They are named after mathematician John Farrel.

How are Farrel Polynomials different from other types of polynomials?

Farrel polynomials have a specific form that includes a logarithmic term, which makes them different from other types of polynomials such as quadratic or cubic polynomials.

Is Farrel Polynomials the same as "Feral" Polynomials?

No, Farrel and "Feral" are two different words with different meanings. Farrel polynomials are named after a mathematician, while "feral" refers to something that is wild or untamed.

What are some applications of Farrel Polynomials?

Farrel polynomials are commonly used in fields such as statistics, economics, and engineering to model data and make predictions. They can also be used in signal processing and control systems.

Can Farrel Polynomials be used to approximate any type of function?

No, Farrel polynomials are best suited for approximating functions that have a logarithmic term, such as population growth or financial data. They may not be as effective for approximating other types of functions.

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