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You are not logged in. #1 20050802 21:43:57
Creating functions out of pointsI've been studiying a way of creating a continuous function containing ngiven points of the plane. Until now I came with two methods: polinomial and polinomiotrigonometric (a mixed method). But a few days have passed by and every time I look at my solutions I think they are a bit 'heavy' althougth very precise, generalized and clear to understand. I wonder if someone knows more on this subject.
Any suggestions please add a brief demonstration plz. #2 20050802 22:29:03
Re: Creating functions out of pointsI think I could fit a polynomial to that, as there are no duplicate xvalues. But the polynomial is likely to swing around a lot and also move wildly past the end points. "The physicists defer only to mathematicians, and the mathematicians defer only to God ..."  Leon M. Lederman #3 20050802 22:58:12
Re: Creating functions out of pointsExcel says that y=0.1481x^4+0.6293x³+4.4564x²12.367x8^10, presumably to 5 significant figures each. This is a quartic function, and even though the highest required point is 8, its highest point is almost 50, so as MathsIsFun says, there is probably a better way, involving trigonometry or something. Why did the vector cross the road? It wanted to be normal. #4 20050803 00:00:07
Re: Creating functions out of pointsGiven n points: Last edited by kylekatarn (20050803 01:00:42) #5 20050803 00:38:41
Re: Creating functions out of pointsYou can post pictures here as long as they are viewable somewhere else on the net. Code:[img]link to picture[/img] If you want to upload images from your computer, I think you need to upload them onto another site first and then link to it. Why did the vector cross the road? It wanted to be normal. 