What is the Correct Translation for Regression Rule in Mathematics?

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Discussion Overview

The discussion revolves around the translation of the term "regression rule" from Hebrew to English in a mathematical context. Participants explore the appropriate terminology related to sequences and series, particularly focusing on concepts such as recursion and recurrence relations.

Discussion Character

  • Debate/contested
  • Conceptual clarification

Main Points Raised

  • One participant suggests that the term "regression rule" might actually refer to "recursion," based on the context provided.
  • Another participant clarifies that "regression" is a statistical term, distinct from recursion, which is used for defining sequences.
  • A different participant emphasizes that the correct mathematical term is "recurrence relation," differentiating it from recursion.
  • Some participants argue about the mathematical validity of using "recursion" in a mathematical context, with references to the Transfinite Recursion Theorem.
  • There is a call to focus on the distinction between recurrence and regression rather than the nuances of recursion.

Areas of Agreement / Disagreement

Participants express differing views on the terminology, with some advocating for "recursion" and others for "recurrence relation." The distinction between regression and recurrence remains a point of contention, indicating unresolved disagreement.

Contextual Notes

Participants reference various definitions and contexts for the terms discussed, highlighting the potential for confusion due to overlapping terminology in mathematics and statistics.

Femme_physics
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Trying to translate a mathematical term from Hebrew to English ("regression rule")

If I translate it word by word in Hebrew, it's the "regression rule"


Such as,

I am told that "a series is defined for every natural n by the regression rule"

http://img806.imageshack.us/img806/5662/regrule.jpg

But the "regression rule" doesn't show up when I'm googling. Does anyone know what it could be?
 
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Yes, makes sense. I think that's it :) Thank you Char. Limit!
 


Yes your forumula describes recursion.

regression is a different animal, used in statistics. That refers to a calculated best line through plotted data points, according to some specified criteria eg linear regression.

http://people.hofstra.edu/Stefan_Waner/calctopic1/regression.html

go well
 
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The name used in math is "recurrence relation". http://en.wikipedia.org/wiki/Recurrence_relation

"Recursion" is more of a computer science term for the process of calculating something, compared with the definition of something by equations.
 


AlephZero said:
The name used in math is "recurrence relation". http://en.wikipedia.org/wiki/Recurrence_relation

"Recursion" is more of a computer science term for the process of calculating something, compared with the definition of something by equations.

I beg to differ: I think the term recursion is very much a mathematical term. I think the sentences "Define X recursively" and "Define X by recursion" are the same. In my set theory class, we also talked about things like the Transfinite Recursion Theorem.

http://en.wikipedia.org/wiki/Transfinite_induction#Transfinite_recursion

This also shows lots of instances of the word recursion being used in math: http://en.wikipedia.org/wiki/Recursion#Recursion_in_mathematics
 


OK, I take your point about recursion in math, but the answer to the OP's question is still a "recurrence relation".

If you think "recursion" and "recurrence relation" are identical, show me reference to the Transfinite Recurrence Relation Theorem :smile:
 


I think we should stop splitting hairs here.

The OP needs to know about the difference between recurrence and regression not a series of variations on a recursive theme.
 


Studiot said:
I think we should stop splitting hairs here.

The OP needs to know about the difference between recurrence and regression not a series of variations on a recursive theme.
:smile: You crack me up, with this double entendre (re:music composition).
 
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