The Difference Between Exponential, Geometric And Parabolic Growth.

My Exponential Growth 'Meme'. by Jimbee68 posted Nov 5, 2024 at 5:31 PM

I just made this meme ("meme" is what I call it, at least LOL). I wasn't sure you know what that kind of growth is called. I know graph of the parabola (pictured) is what Thomas Malthus was talking about. Growth in the form of: 2, 4, 8, 16, etc. That is what the parabola does, basically.

I also wasn't sure if there is a difference between exponential and geometric growth. But Google AI says "While often used interchangeably, 'exponential growth' refers to a continuous, smooth increase in a quantity where the growth rate is proportional to the current size, while 'geometric growth' refers to a discrete, stepwise increase where the quantity grows by a constant factor at regular intervals, essentially representing the same concept but applied in slightly different mathematical contexts; in most situations, the terms can be considered equivalent."

Yeah, LOL. I thought that would be a funny way of someone protesting something. If someone told then they couldn't do something, then do what they were allowed to do followed the equation of the parabola: 2, 4, 8, 16. I just wasn't sure what to call that.

I called it exponential growth. But I knew Malthus called it geometric growth. And in HS and after, they told us the equation of the parabola is one of those things. I think the parabolic growth is what Malthus called geometric growth. Am I right?

 

BTW, I made that above graph into a sticker I may put on my car bumper. So if isn't correct, please tell me now.

 

With a parabolic curve, because the ordinates are constantly divided by a fixed number, they can never meet the x or y axis.

A sort of mathematical definition of infinity.