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NiborRis
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TT, what the hell are you talking about?

You get 50 FP for each referral.
At 5 referrals, you get a bonus of 250FP and 1 SS.
At 10 referrals, you get a bonus of 500FP and 2 SS.
At 15 referrals, you get a bonus of 750FP and 3 SS.

It's an unfortunate numeric coincidence that 5 referrals earns you 250FP just for the 50FP/referral, but don't conflate that with the reward given at 5 referrals.

Secondly, stop adding up the totals. That's NOT what exponential growth means. It's what Cornblade said, the "rate of the rate of change is increasing".

Flat rewards: At 5 referrals, you get a bonus of 1 SS. At 10 referrals, you get a bonus of 1 SS. At 15 referrals, you get a bonus of 1 SS.
This is NOT linear growth of rewards, this reward rate is 1 SS/5 referrals and the rate of change is 0. Just because you have a total of 1, then 2, then 3 has nothing to do with the rate of rewards you are getting.

Linear growth of rewards: At 5 referrals, you get a 1 SS bonus. At 10, you get 2 SS. At 15, you get 3 SS. The reward rate increases. The rate of the increase is 1SS per bonus given. The rate of the increase is constant and thus the rate of change in the rate of change is 0.

Exponential growth: At 5, you get 1SS. At 10, you get 2SS. At 15, you get 4 SS. The reward rate increases; it was 1, then 2, then 4. The rate of change increases; it was 1, then 2. That's exponential.

Now, 3 data points isn't enough to say for sure what's happening, especially with such small numbers that have to be rounded to a whole reward. So it's still quite possible the rate is exponential.

And, of course, this whole thread is kind of stupid because it's completely pedantic. But hey that's what we're here for.

Bottom line, it probably would have been nicer to actually publish a rewards table, at least for the first few reward tiers (enough to get to qualifying for a Superstar), just so people could have known what they were aiming for. But the SS promotion is just this season (from what i understand) so not a big deal as it will be obsolete in just a few days.
 
Achelon
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You could just PM him. or open a chat window
 
Galithor
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What is the tangent line of the SS point curve at the 7th reward level?
 
Time Trial
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Originally posted by NiborRis
TT, what the hell are you talking about?

You get 50 FP for each referral.
At 5 referrals, you get a bonus of 250FP and 1 SS.
At 10 referrals, you get a bonus of 500FP and 2 SS.
At 15 referrals, you get a bonus of 750FP and 3 SS.

It's an unfortunate numeric coincidence that 5 referrals earns you 250FP just for the 50FP/referral, but don't conflate that with the reward given at 5 referrals.

Secondly, stop adding up the totals. That's NOT what exponential growth means. It's what Cornblade said, the "rate of the rate of change is increasing".

Flat rewards: At 5 referrals, you get a bonus of 1 SS. At 10 referrals, you get a bonus of 1 SS. At 15 referrals, you get a bonus of 1 SS.
This is NOT linear growth of rewards, this reward rate is 1 SS/5 referrals and the rate of change is 0. Just because you have a total of 1, then 2, then 3 has nothing to do with the rate of rewards you are getting.

Linear growth of rewards: At 5 referrals, you get a 1 SS bonus. At 10, you get 2 SS. At 15, you get 3 SS. The reward rate increases. The rate of the increase is 1SS per bonus given. The rate of the increase is constant and thus the rate of change in the rate of change is 0.

Exponential growth: At 5, you get 1SS. At 10, you get 2SS. At 15, you get 4 SS. The reward rate increases; it was 1, then 2, then 4. The rate of change increases; it was 1, then 2. That's exponential.

Now, 3 data points isn't enough to say for sure what's happening, especially with such small numbers that have to be rounded to a whole reward. So it's still quite possible the rate is exponential.

And, of course, this whole thread is kind of stupid because it's completely pedantic. But hey that's what we're here for.

Bottom line, it probably would have been nicer to actually publish a rewards table, at least for the first few reward tiers (enough to get to qualifying for a Superstar), just so people could have known what they were aiming for. But the SS promotion is just this season (from what i understand) so not a big deal as it will be obsolete in just a few days.


Of course you use the totals! If you were to ask, "How many SS points do I get for 15 referrals?" The answer is not 3. The answer is 6. Why? Because at 5 referrals, you get one at 10 you get two, and at 15 you get 3. In this case, the # of SS points is increasing at an exponential level. The rate of change is increasing with each stage at a linear level, leading to exponential increases in the number of SS points.

x=5, Y=1
X=10, Y=3
X=15, Y=6
~X=20, Y=10
~X=25, Y=25

Think of it as Acceleration, Speed (Velocity), Distance (Displacement). If you are driving in your car and you are speeding up at a constant rate, that means that your speed is linear, your acceleration is flat, and your distance travelled is increasing exponentially. If you talk about the speed being exponential, you need linear growth on the acceleration.

If every ten cups of coffee you get a free cup of coffee, your rewards are not increasing, so your reward at 10 cups will be the same as at 20. If you ask how many free cups of coffee you get, the plot looks like this:

X=10, Y=1
X=20, Y=2
X=30, Y=3

Why? Because after 30 cups of coffee, you will have earned 3 total free cups. Your benefit stays flat. The plot of cups of coffee purchased vs. free cups of coffee is linear.


...


Anyway, the point is, the reward for doing the same amount of work increases the higher you go. First 5 referrals, your benefit is 1 SS. For getting the next 5 referrals after your first ten, your benefit is 3 SS points. The benefit for providing 5 referrals has gone from 1 to 3.

How many SS points will I have after getting 05 refferals? 1
How many SS points will I have after getting 10 refferals? 3
How many SS points will I have after getting 15 referrals? 6
How many SS points will I have after getting 20 referrals? Probably 10.

Plot the number of SS points you will have and you will see, not flat, not linear, but rather exponential growth.

Edited by Time Trial on Jan 15, 2014 17:44:38
 
justafish2002
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This really comes down to what Corndog meant would exponentially grow: the bonus for each 5 referrals or your total earned points.
 
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