your-dentist
3rd July 2004 21:13 UTC
OT: correct word for ...
I know it is a no-no to post offtopic, but I need the help of the maths talents here.
It's a short question.
An exponetial function (a^x) grows exponentially.
What's the adverb that describes how a function of a power (x^n) grows?
That's it.
Please don't delete this thread, I wouldn't know another place to ask this.
UnConeD
4th July 2004 00:05 UTC
I can't think of one. The derivative of a power term is another power term, but one lower.
TomyLobo
5th July 2004 11:08 UTC
polynomial
polynomiell auf deutsch ;)
piR
5th July 2004 16:50 UTC
I think that "exponentially" refers to the exponential curve. With functions like x^n, there are as many curves as values of n ... ;)
your-dentist
5th July 2004 23:59 UTC
@the lobotomized guy: Found that on a math site too, but it sounds strange.
'This function grows polynominally.'
:weird:
TomyLobo
7th July 2004 00:35 UTC
piR:
n=2: quadratically
n=3: cubically
etc...
the generic term for these is "polynomially" (without the n!)
comes from the noun "polynomial" (dt. Polynom) obviously ^^ why does it sound so strange to you? :)
your-dentist
7th July 2004 09:20 UTC
A polynom is something made of several other things.
Poly!
A polynom is e.g.: x³-4x²+x
But let's say x^6 is just a power term of sixth order.
I know the terms for x², x³ etc.
But I was hoping there was a generic term for x^n.
UnConeD
7th July 2004 09:36 UTC
'Polynomial', not 'polynom' ;).
By the way, Wikipedia says x^n is a monomial.
drewbar
7th July 2004 09:40 UTC
Geometric or Polynomial.
It is still technically a polynomial, just one where all coefficients n-1 to 0 are zero.
x^6 = x^6 + 0x^5 + 0x^4 + 0x^3 + 0x^2 + 0x + 0
your-dentist
7th July 2004 12:27 UTC
Monomial sounds good.
Well from now on I'll use 'monomially'.
'x³ is a function that grows monomially.'
Still strange, but it seems to be the best fitting word.
dirkdeftly
8th July 2004 07:15 UTC
methinks sawg/drewbar is right, geometrically is the correct term
your-dentist
8th July 2004 14:00 UTC
Hrrrm, now I'm confused again.
So, in the future I will try to avoid sentences like 'This function grows ...ly.'.
:)
Thanks to you all for your help.
sidd
22nd July 2004 11:00 UTC
hhaha.. people that make up the math words.. 'monomial'.. lol.
"o hay! there is only one term, so we dont need to call it poly anymore! monomial it is then!!"
sorry.. i find it funny. :P
vanderphunck
22nd July 2004 14:53 UTC
Cool idea with the ascii art but could be more smooth! Try doing like this in the effect list:
b=if(above(b,5),0,b+1);
beat=equal(b,0);
enabled=1;
and remove custom bpm and set movement to y=-2 in the frame event. Also using the terminal font gives a more stable frame rate (e.g. not true type).
vanderphunck
23rd July 2004 12:20 UTC
Sorry, the above post was not written by me... Somebody created the vanderphunck account in my name and posted in my name. (Thanks to Rocker for helping me...)
jheriko
3rd August 2004 16:52 UTC
Originally posted by your-dentist
But I was hoping there was a generic term for x^n.
thats what polynomial is foo, like someone else said for specifics you use the actual polynomial name.. for instance here are some names and the correlating largest terms
x^5 = quinticly
x^12 = dodecicly
x^73 = heptacontatricly
x^100 = hecticly
there is prolly a list out there somewhere, you can form the names from the greek roots if you know them.. i don't know them all.. hence my odd example of 73 in the middle there :P
however, geometric growth is another specific type of polynomial growth, the sort with only terms in one power.. eg f(x) = x^n
where as f(x) = x^n+x^(n-r) is polynomial order n. think about a geometric progression to see where that comes from, the analog of this is arithmeticly.. but no one ever says there function value is growing arithmeticly, cos linearly is a much cooler word...
the only time i've ever heard polynomial used in this context really is in the phrase 'polynomial time'