|WikiProject Mathematics||(Rated Start-class, Mid-priority)|
Comment from 22.214.171.124
I dont understand this please can someone explain simpler? - Posted by 126.96.36.199 18:46, 30 Dec 2004 (UTC) (moved here from article)
Are all coefficients unit-less?
All of the coefficients I can think of are unitless. Is this part of the definition of a coefficient when used in equations for physical systems? Are there exceptions? Or am I just wrong?
- E_0 = m c^2.
- the proportionality coefficient between rest energy and mass is c^2 which is not unitless. --MarSch 16:42, 16 Jun 2005 (UTC)
- As far as I can tell, the mathematical definition should imply that coefficients are unitless, however, the physical sciences have been using "coefficient" for factors that include dimensions for a long time, where "constant" or "factor" would be a more informative term. —Preceding unsigned comment added by 188.8.131.52 (talk) 05:27, 23 October 2007 (UTC)
coefficient of a polynomial
"coefficients" of vectors are called coordinates. Perhaps we should convert this to a list of coefficients. --MarSch 16:45, 16 Jun 2005 (UTC)
OK, I'm no math genius, and so this article makes NO SENSE whatsoever. Define it so that people who don't know what the word means can figure it out (they're the one's who want to know, after all). In , is the 4 the coefficient? If so, just say that. Please. Cut down on the confusion level. Twilight Realm 21:26, 12 October 2005 (UTC)
- I couldn't agree more. I just can't stand looking at this ****, so I'll change it. Why did nobody in almost 5 years time? Marc van Leeuwen (talk) 11:15, 16 March 2010 (UTC)
- Sorry, I found out that until recently the lede was a lot better than what I just changed, I could have reverted a not-so-old edit. Anyway, what I wrote is not too far from what used to be there, maybe even a bit better. In any case please no not restore the nonsensical stuff about divisors and monomials, even if it should be in some reference. Marc van Leeuwen (talk) 11:46, 16 March 2010 (UTC)
Difficult to understand
Proposal for things to clarify
- To my knowledge The therm "coefficients" is mainly used for a given set of base functions (such as x^0, x^1, ..., x^n) for the factors in front of them. The generalization "or any expression" makes it identical in meaning with "factor" which I do not think is widely used or helpful in any way.
- The basis of function does not need to be x^n AFAIK but can also be sin(nx+b)/cos(nx+b)/e^nx/any base of a vector space or such but the base functions/vectors are not called "coefficients" (which is likely meant with "clearly distinguished from the other variables").
- A general example for polynomials such as a_0+a_1*x+a_2*x^2+...+a_(n-1)*x^(n-1)+a_n*x^n with a_i being the coefficients to the polynomial basis x^i may help to understand what is meant in most of the cases.
- I also think the coefficients should be independent of the variable in the functional basis (in my examples x).
I think addressing those points might help to make this article more telling but the rough understanding of the linear independent base of a space of functions/vectors may still get in the way for many to understand this. Florian Finke (talk) 09:19, 24 September 2020 (UTC)