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.

I can't think of one. The derivative of a power term is another power term, but one lower.

polynomial
polynomiell auf deutsch 😉

I think that "exponentially" refers to the exponential curve. With functions like x^n, there are as many curves as values of n ... 😉

@the lobotomized guy: Found that on a math site too, but it sounds strange.
'This function grows polynominally.'
🤪

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? 🙂

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.

'Polynomial', not 'polynom' 😉.

By the way, Wikipedia says x^n is a monomial.

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

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.

methinks sawg/drewbar is right, geometrically is the correct term

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.

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

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).

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...)

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'