What is the Correct Translation for Regression Rule in Mathematics?

[Femme_physics]

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?

 

[Char. Limit]

That looks like recursion to me. Is that what you're looking for?

EDIT: Here's a Wiki with some more info: http://en.wikipedia.org/wiki/Recursive_definition

 

[Femme_physics]

Yes, makes sense. I think that's it :) Thank you Char. Limit!

 

[Studiot]

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

 

[AlephZero]

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.

 

[spamiam]

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

 

[AlephZero]

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

 

[Studiot]

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.

 

[Ouabache]

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.

You crack me up, with this double entendre (re:music composition).