Post by Deleted on Oct 5, 2017 3:50:16 GMT -5
Alright, so I love math, but sometimes my common sense falls short, and I need a complete stranger to point out what I'm doing wrong.
For some time, I'd been using the following formula to calculate Super Strength in the Capes and Cowls supplements: Lifting Numeric * (2*Super Strength Level) = New Lifting Capacity
This doesn't work, because that doesn't double each time, it calculates 2 multiplying at a flat rate, not doubling each time in the way that Dionon intends for us to calculate. This isn't arithmetic, it's scientific notation/exponent math.
So what's different? Basically the formula just has to look like this.
Lifting Numeric * (2^Super Strength level) = New Lifting
What's ^? Basically it's the proper way of typing out "To the nth power" in a digital format, with the nth being replaced by the number that directly following, and being applied to the number directly preceding.
Most digital computers will have some sort of inputting this directly as a button in the scientific expansion. Typically, it will be between the "X Squared" and "X Cubed" keys, with what essentially looks like a properly written "X to the Power of Y" symbol.
"But Madd," I hear you ask, "how do the numbers line up like this?"
Well I'll tell you.
So when you're calculating using the number 2, no matter what order it's in, the easiest way to think about it is never "2 but X number of times", it's easier to think "X 2 times", which is basically what it is. Multiplying by a value of 2 is just never about 2, it's about the other number.
An exponential expression is different, as it's not about the number multiplying by 2, in a sense, it's about the previous result.
2x2 = 4
Okay, that's about right, seems familiar. And exponentially, 2^2 is also 4.
2x4 = 8
Still going, that's easy enough since 2^3, or 2*2*2, is also 8.
2x8 = 16
Getting the picture? Well, let's consider it down the road.
2x10 = 20
Okay, here's a bigger example, what'd we do differently though? This is not an exponential expression. It's something like what the old formula would do. But we see that 2^10 is absolutely NOT the same thing. This is because the result far outpaces, as we've been doubling, where above we've only gone up to the fourth power, and are already at a result that is only 4 off from the other result. Because:
2*2*2*2*2*2*2*2*2*2 = 1024
or in short
2^10 = 1024
Basically doubling the previous result is MUCH faster than the OG 2s times table.
For some time, I'd been using the following formula to calculate Super Strength in the Capes and Cowls supplements: Lifting Numeric * (2*Super Strength Level) = New Lifting Capacity
This doesn't work, because that doesn't double each time, it calculates 2 multiplying at a flat rate, not doubling each time in the way that Dionon intends for us to calculate. This isn't arithmetic, it's scientific notation/exponent math.
So what's different? Basically the formula just has to look like this.
Lifting Numeric * (2^Super Strength level) = New Lifting
What's ^? Basically it's the proper way of typing out "To the nth power" in a digital format, with the nth being replaced by the number that directly following, and being applied to the number directly preceding.
Most digital computers will have some sort of inputting this directly as a button in the scientific expansion. Typically, it will be between the "X Squared" and "X Cubed" keys, with what essentially looks like a properly written "X to the Power of Y" symbol.
"But Madd," I hear you ask, "how do the numbers line up like this?"
Well I'll tell you.
So when you're calculating using the number 2, no matter what order it's in, the easiest way to think about it is never "2 but X number of times", it's easier to think "X 2 times", which is basically what it is. Multiplying by a value of 2 is just never about 2, it's about the other number.
An exponential expression is different, as it's not about the number multiplying by 2, in a sense, it's about the previous result.
2x2 = 4
Okay, that's about right, seems familiar. And exponentially, 2^2 is also 4.
2x4 = 8
Still going, that's easy enough since 2^3, or 2*2*2, is also 8.
2x8 = 16
Getting the picture? Well, let's consider it down the road.
2x10 = 20
Okay, here's a bigger example, what'd we do differently though? This is not an exponential expression. It's something like what the old formula would do. But we see that 2^10 is absolutely NOT the same thing. This is because the result far outpaces, as we've been doubling, where above we've only gone up to the fourth power, and are already at a result that is only 4 off from the other result. Because:
2*2*2*2*2*2*2*2*2*2 = 1024
or in short
2^10 = 1024
Basically doubling the previous result is MUCH faster than the OG 2s times table.