Experiment 175 Level difference influence on damage dealt

Oh that's easy.

Spoiler: Math Corner 2

I use a freeware program called Scilab which is an alternative to much better and paid MatLAB. It has a ton of built-in functions for matrix operations, and it's free so I'm free to use it.

The whole process is done with few built-in functions, but I'll show you how it works, just for fun.

I take a vector of x values (in this case level differences) from my measured data:
x=[-5,-4,-3,-2,-1,0,1,2,3,4,5]
I assume I want 1st degree polynomial, so a linear function (because the measured data looks like it would be a linear function), so I set:
n=1

Then I create something called Vandermonde matrix, which has a set of rules about how to fill it, these are boring and depend on the degree polynomial, it should suffice to say that the matrix looks like this:

V =
-5 1
-4 1
-3 1
-2 1
-1 1
0 1
1 1
2 1
3 1
4 1
5 1

Next I need to do a step called QR decomposition. It would take too much time to describe how it works, so let's stick to saying that it takes matrix V and uses it to create 2 other matrices Q and R, which will be useful in a moment.

Q=
-0.4767 -0.3015
-0.3814 -0.3015
-0.2860 -0.3015
-0.1907 -0.3015
-0.0953 -0.3015
0 -0.3015
0.0953 -0.3015
0.1907 -0.3015
0.2860 -0.3015
0.3814 -0.3015
0.4767 -0.3015

R=
10.4881 0.0000
0 -3.3166

Then I take my data from y axis, so that's damage divided by base damage:

y=[0.9564, 0.9634, 0.9715, 0.9849, 0.9925, 1.0000, 1.0087, 1.0168, 1.0250, 1.0343, 1.0441]

And there's a theorem that says I can calculate my coefficients of a function using a matrix equation:

p = R\(Q'*y) and it will have the lowest error possible (least-square error), so it's a very good fit.

The result of the above equation is:

p =
0.0087
0.9998

which means the final function is
y=0.0087x+0.9998
Now 0.9998 best fits the data, but we've got another requirement that "value of this function for 0 lvl difference must be 1".
That means the 2nd parameter must be 1.
y=0.0087x+1
The reason why the process didn't give us exactly "1" due to the slightly varying P.Atk of character. If we had better test conditions, to eliminate that problem, the process would give a better result.
Now the reason why I can modify that constant, is because the change can introduce a maximum error of 0.02% that is constant. The reason why I'm not touching 0.0087 is because any change to that number would multiply the error by X, so for X=10 we would have 10x the first error. The reason why I can be sure it's a good fit is that this function perfectly passes through points that had ~same P.Atk (x=-5,0,5,1), while the points with lower P.Atk are below it, and with higher - above it.

Welcome to the daily engineer's life. I don't even need to know how the functions and algorithms mentioned work, all I need to know is that 1 guy has proven them to be the best for my situation, know the dangers, and use them at will

 

If you guys don't understand that kind of math, why ask how?

 

rekt

 

hax, dont act like you understand something.
anw my soft after same procedures show 0.0095.

 

That would mean that the last value (X=5) for your number is 1.0475. For mine it's 1.0435. Data says 1.0441. I had 8096 P.Atk for X=0. I had 8105 P.Atk for X=5. That's 9 more P.Atk. It means that the real value there should be less than 1.0441, cause I did too much dmg. My estimate is much closer. That's what I meant about multiplication of errors.

 

well.. maybe my london is chujowno. not sure.
tests with some numbers from some soft it's... well. interesting for you only.
as for common player i preffer simple test with shown damage logs. and now.. now is just attention seeking and showing how awesome you are at math. thats it.

 

You're asking questions how the results here were calculated into final result. You've got the answer. Now you complain that I "show off", while you literally asked me to do it.

https://pastebin.com/Rhgc6GhY

Happy now?

 

1. attacker:
2. lvl,p.atk,dmg
3. 100,8104,1647
4. 101,8069,1659
5. 102,8054,1673
6. 103,8147,1696
7. 104,8124,1709
8. 105,8096,1722
9. 106,8093,1737
10. 107,8086,1751
11. 108,8074,1765
12. 109,8091,1781
13. 110,8105,1798

that's what how test "data" should looks like. not like this

Spoiler: like this

anw. make a test with PK and items drop that one should be interesting and fun.

 

Just to show you how it can be done

Pros:
Post is Shorter
Its more clearly to read

Cons
You not getting as much attention of being geek as you want.

 

What's exactly the point of all the fuzz? We didnt had any decent experiment, majority were just a translation of the russians.


Now we finally have someone doing it with big interess, willing to reply to any question very quickly and not getting paid for it ( i guess). So what's the point of all the counter-productive with diminishing complaings?




@Palkah I do apreciate your work/effort to explain the whole process and methodology thank very much! I just suggest at next experiments you try to make the conclusions more clean/friendly


l2 is an old game with old players. Let's start behave properly.

o/

 

that outrage is hilarious, if you dont like math for any reason (and we all know why) simply dont press that spoiler LOL
some actually does like to know how the whole process looked like and dont mind refreshing some of uni math

if you prefer simple answers, just read "conclusion" part wrote down for downers who can't conclude themselves XD

 

@Palkah thanks you very much for you Continued interest in decoding the mysteries of the world of "Lineage 2 " and help those who have doubts about these Secrets.If I tell you the truth I did not understand the "x" or the "y" but with the explanation you gave at the end and with the magnificent table that you did then I have no doubt.

Now I will give you some advice that I have gained from experience. You are doing this "Free not?" for the interest of knowing that it is true and that it is not. When you do something "FREE" you tend to lose motivation for the passage of time. Since you do not have a prize or something that says "I have to do this" part of the fault lies with people who do not know how to thank your work, effort and dedication in what you do.

The best you can do is ignore these people. Surely nowhere says you have to answer them if you do not want to. Respond only to people with suggestions and good ways so that your work becomes easier and do not lose motivation.

Sorry for my English and my best wishes for you

 

I edited the first post and added raw results displayed in a nice way with a spreadsheet:

https://docs.google.com/spreadsheets/d/10ZYYDxNtCGA6xuQVX5HdCSnsauH7xCgeFi8BZRy-njI/edit#gid=0

just for clarity reasons


#NeverStopImprovingYourWork

 

for the first time i see an eu experiment geting copy pasta to russian huehue
https://4gameforum.com/threads/720031/

 

nice, and the testing begins

 

for majority of players test like this would be more acceptable, and you get more rep points if you make something like this.
https://4gameforum.com/threads/596290/

btw i used my mad math skills and got ~2% difference for damage when level is different. that 0.89 still confusing me.

 

ok, i really dont like or believe these numbers.

then so,

why when i pvp someone at my lv and gear i can win or lose but when i pvped noriseven at 108 i barely take his cp out while he kicked my *** with his iss enchanter?

same goes when i one shot ppl that didnt reach l2store gear level but have the same lv as mine.
same goes when i pvp deathwish or higher lv ppl and they one shot me.

this fraction of urs is the final result bonus or a multiplier(E)?

 

even 101 archer with some gear can oneshot you.
for more defence get longing+7signs+abudance lv1, venir12 or 14 +sayha7 or higher. lv4 or higher diamond/pearl/obsidian, +10 pvp or ulti/trans set. what else i forgot to mention? CH or ekimus belt (cheaper than coc belt). bless anthy. and then QQ about being oneshot.
btw if you attacking 108 lvl iss with your 101 archer. gl. it's like doing kartia 90 with 90lvl char. you have huge damage penalty.

 

1. nori is probably one of the most stacked isses on Core
2. This experiment was to check if level gives you any difference when the stats are THE SAME. Normally when you level up you get bonus to all your stats, and it's quite big, but since it's gear-dependent, it's impossible to measure, since each person will get different values on their stats on a level up. That's why I only wanted to check how much 1 level gives when you freeze the stats. because that's something that can be measured.
3. To give you an idea, I started with duals +20 on level 100 and finished with duals +4 on 110 to keep the ~same P.Atk.
4. The main point of this experiment was to disregard the claims of "you get 15% bonus damage when you level up". No you don't, you get this small bonus which is the same for everybody, AND you get a stat boost which in the end depends on your gear list. So the final boost is 0.87% + random

 

so it is a multiplier(E).