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Author Topic: DPS Per Second  (Read 720 times)

Crabbok

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DPS Per Second
« on: Sep 05, 2013, 03:43 PM »
Some of the old school LD50 folks will likely remember my trolling of the public chat channels , talking about DPS per Second.   I am taking physics this semester and I found out that it is a real thing, if you are talking about the rate of increase in DPS. 

Our instructor was explaining acceleration in terms of meters per second, per second, or mps^2, and it made me giggle so much! 



Gash

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Re: DPS Per Second
« Reply #1 on: Sep 05, 2013, 05:12 PM »
muhahaha Good times man.

Calculus as applied to SWTOR trolling.

~Gash

Zetsuma

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Re: DPS Per Second
« Reply #2 on: Sep 05, 2013, 06:48 PM »
Haha. I wasn't in the guild when you were, but I definitely heard about that.

I hope that you also realize that you want to reduce the time it takes to get to ~0 dps/s at your maximum dps

O_O

Wait... What

Bastian

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Re: DPS Per Second
« Reply #3 on: Sep 06, 2013, 02:07 PM »
You just now discovered that "per second per second" is a real mathematical measurement?  o_O
And I disappear, a ghost admidst the combat, preparing to strike.
It was your own fault; You should have paid attention and looked through the lie.
A most confused death, dead before he even knew where I struck from.
Farewell foolish thing.  Know that you have been deceived, as your soul moves on.

Crabbok

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Re: DPS Per Second
« Reply #4 on: Sep 06, 2013, 05:53 PM »
Yes.  I didn't go to college until much later in life.   =(

Eumelia

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Re: DPS Per Second
« Reply #5 on: Sep 07, 2013, 09:02 AM »
EDIT: I R WRONG NUB
« Last Edit: Sep 07, 2013, 08:05 PM by Vandana »

Bastian

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Re: DPS Per Second
« Reply #6 on: Sep 07, 2013, 04:23 PM »
That's not quite how the formula would work, so let's look at a real approach instead.

Look at when you start a boss fight.  Everyone doesn't immediately start at their top DPS and then maintain it until the boss is dead.  You have to account for downtime and offensive cooldowns.  The only way starting at your max DPS would be true is if you had an instant free ability with a one-second cooldown that did 2000 true damage.

Instead, most people have to build up for awhile to achieve their standard DPS.  You can actually measure how long that buildup takes and call it your DPSPS.  So to measure your average DPS, you divide your total damage dealt by the number of seconds of combat.  To get your DPSPS, you have to measure how much damage you do every second (or any constant interval of time) and then compare it to the next interval.  Realistically this number will remain tiny compared to your actual DPS, and may actually go negative at some points, and is thus unreliable for any realistic form of measurement.

So let's say I did 15k damage in the first 10 seconds of the fight, and 28k during the second 10 seconds because I popped a cooldown and got my rotation going.  During the first 10 seconds, I did 1.5k DPS, but during the next, I did 2.8k.  So my DPS per second from the 10th second of combat to the 20th was 130 on average.  There may have been variance within that time frame due to crits and such.

Now since my dps from seconds 10 to 20 was so good because of the cooldown, when it wears off my DPS will suffer.  As such, my DPS per second will go negative for the next time interval.

So, the formula would look something like this:

DPSPS = (DPS2 - DPS1)/Time, where DPS1 is your DPS during the first time interval, DPS2 is your DPS during the second, and Time is the interval of time you're using for your sample.  Remember you calculate DPS by using (Damage Done/Total Time of fight in seconds).

So the more complex and final formula for DPSPS (where your time interval is 10 seconds) would be this:

DPSPS = (x2 - x1)/y^2

Where x1 is the total damage of the first interval, x2 is the damage of the second, and y is where you plug the time interval into.

So using the earlier example, you would have (28,000 - 15000)/100, which gives you the 130 DPSPS you had (on average) for second 10 to 20 of the fight.  Remember that this formula only works with 10 seconds as the chosen time interval.  It would be invalid and completely incorrect if any other interval were chosen.  I just used 10 in the example because it's a reasonable length of time and has a reasonable formula to use.  The harsh variance in DPS for every actual second causes the REAL formula that could use any length of time to be so needlessly complex and difficult that I'd rather not sit for hours coming up with it and explaining it, so for now you'll just have to deal with 10 second timeframes if you want to calculate DPSPS.

This has been another episode of Useless Math with Pedia, have a nice day folks!
« Last Edit: Sep 07, 2013, 04:31 PM by Bastian »
And I disappear, a ghost admidst the combat, preparing to strike.
It was your own fault; You should have paid attention and looked through the lie.
A most confused death, dead before he even knew where I struck from.
Farewell foolish thing.  Know that you have been deceived, as your soul moves on.

Zetsuma

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Re: DPS Per Second
« Reply #7 on: Sep 07, 2013, 05:17 PM »
This topic amuses me.

Sawyer

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Re: DPS Per Second
« Reply #8 on: Sep 07, 2013, 06:13 PM »
instead of reading all that i'm just going to assume Crabbok has successfully trolled again using this

Crabbok

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Re: DPS Per Second
« Reply #9 on: Sep 07, 2013, 07:29 PM »
As much as I would love to take credit for trolling yet again, this time it's real.  I am taking physics and the topic of acceleration was brought up.  It is described as Meters per Second (per second).  The idea is that if you are coasting at 60 MPH down the highway, your net force is zero (Assuming the highway is super slick ice and it takes zero force, letting your inertia carry you). 


 I'd keep explaining but never mind I'm tired.  It's been a long day.   Anyhow, yeah I'm 9 classes out from completing my BS, and I needed 1 more science, so I took physics. 

Eumelia

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Re: DPS Per Second
« Reply #10 on: Sep 07, 2013, 08:05 PM »
Been a while since I got a D in my Physics 1 class so i forgot the already little information I got out of that hard class.

but yeah that makes sense pedia. Giving me the Math smackdown.

oh yeah damn after actually googling it I was way the fuck off with that formula. @_@

DPS per second works exactly like the formula for Acceleration works.
« Last Edit: Sep 07, 2013, 08:07 PM by Vandana »

Bastian

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Re: DPS Per Second
« Reply #11 on: Sep 09, 2013, 01:50 AM »
Pretty much, acceleration and DPSPS share the same mathematic principles, so the formulas would be similar.  There are different factors that go into the two though, so you would have to adapt the acceleration formula a bit.  I'm actually considering coming up with the real formula just for shits and gigs, lol.
And I disappear, a ghost admidst the combat, preparing to strike.
It was your own fault; You should have paid attention and looked through the lie.
A most confused death, dead before he even knew where I struck from.
Farewell foolish thing.  Know that you have been deceived, as your soul moves on.

Ratio

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Re: DPS Per Second
« Reply #12 on: Sep 09, 2013, 05:02 AM »
If we define DPS at any time t as b(t) and we want to find the instantaneous change in DPS at time t, just take the derivative with respect to t.

DPS = b(t)
DPSPS = a(t)

a(t) = db/dt

What's hard about that? It's not even multivariable.
Happiness is when you play a game so well that people call you a hacker.

There are two types of people in the world, those who can extrapolate from incomplete information.

Bastian

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Re: DPS Per Second
« Reply #13 on: Sep 10, 2013, 12:29 AM »
Because that's technically Calculus and not everyone understands it. :P  I was trying to describe it while avoiding Calculus since it's not a commonly understood math.  But that formula is very easy if you understand it.
And I disappear, a ghost admidst the combat, preparing to strike.
It was your own fault; You should have paid attention and looked through the lie.
A most confused death, dead before he even knew where I struck from.
Farewell foolish thing.  Know that you have been deceived, as your soul moves on.

 

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