Tyjon Lindsey

zoogs said:
Oh! I missed it. By all means, let’s be nerds about it! Why is multiplicative more accurate? I do feel like the scale factor of the benefit is not constant. So the colloquial definition of exponentially is not in conflict with the mathematical one, and here’s a case where it isn’t misused. Am I misunderstanding one of these terms?
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Ya I can't get that nerdy about it. But exponential is more specific than multiplicative. I don't think the following definition applies to an increasing rate of improvement for the offense. "Exponential growth is exhibited when the rate of change—the change per instant or unit of time—of the value of a mathematical function is proportional to the function's current value" (ya it's from wikipedia).

Multiplicative covers all of these:

300px-Exponential.svg.png


Now I'm going to steal someone's answer that I've just now randomly found 'cause it sounds smart and kinda summarizes the way I'm seeing it.

Exponential growth is not just when something grows quickly, or grows faster and faster. It's when the rate of growth is proportional to the current amount. For example, if you earn 5% on your investments in a year, then one million dollars of investments will earn $50,000 and ten thousand dollars of investments will earn $500. The growth is proportional to the amount already there, so this is exponential.

There are two criteria I can think of for a change to be "exponential":

1) The amount of change should be a constant percentage of the thing that's changing.
2) The independent variable should be continuous, or nearly so.
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https://www.quora.com/When-is-it-correct-to-say-something-is-growing-exponentially

 
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ScottyIce said:
Like, why wouldn’t he love it when he got rhabdo? ;)
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Ya I'm gonna give him a pass. They kind of have to do what they're being told by the S&C trainers. They're competing for jobs and trying to impress the coaches, and there has to be trust there, and in doing what he was told he was hurt. So I wouldn't blame him even if he was angry.

 
Hm, sure. I was thinking multiplicative explicitly doesn't cover a^kx while that's the only thing exponential does cover, and it seems like a reasonable enough way to describe this situation for appropriate values of a and k. For example, make a about 1.1 and k a little below 2.

But, fine, the number of playmakers is certainly not continuous :P  I feel like these criteria are a little too academic, though. It amounts to "don't use exponential unless you're literally describing a mathematical function." 

 
Moiraine said:
Ya I can't get that nerdy about it. But exponential is more specific than multiplicative. I don't think the following definition applies to an increasing rate of improvement for the offense. "Exponential growth is exhibited when the rate of change—the change per instant or unit of time—of the value of a mathematical function is proportional to the function's current value" (ya it's from wikipedia).

Multiplicative covers all of these:

300px-Exponential.svg.png


Now I'm going to steal someone's answer that I've just now randomly found 'cause it sounds smart and kinda summarizes the way I'm seeing it.

https://www.quora.com/When-is-it-correct-to-say-something-is-growing-exponentially
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 I plussed this because you used a word (multiplicative) with more syllables than I have toes. And by the way, you're smarter than I am, but I just stole your hubcaps.

 
zoogs said:
Hm, sure. I was thinking multiplicative explicitly doesn't cover a^kx while that's the only thing exponential does cover, and it seems like a reasonable enough way to describe this situation for appropriate values of a and k. For example, make a about 1.1 and k a little below 2.

But, fine, the number of playmakers is certainly not continuous :P  I feel like these criteria are a little too academic, though. It amounts to "don't use exponential unless you're literally describing a mathematical function." 
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Ya, I think I mentioned that earlier. Exponential is in the English language as just an increase in growth rate over time. But people were makin' fun of the "multiplicative" person.

 
Moiraine said:
Ya I'm gonna give him a pass. They kind of have to do what they're being told by the S&C trainers. They're competing for jobs and trying to impress the coaches, and there has to be trust there, and in doing what he was told he was hurt. So I wouldn't blame him even if he was angry.
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Oh neither would I that’s not what I meant. Was just saying he has good reason to leave if he does, I suppose. And poking fun at redux

 
Ohh, I see. I guess that's fine! So the colloquial meaning of "multiplicative" is really just "anything to do with multiplying" :P Nice.

I suppose I can agree too that maybe we should be precise with the term exponential. We should word filter all forms of "exponential" over to multiplicative, just to punish the mean-spirited folks who made fun of it to begin with :D

 
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