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About levels and xp


Celebi

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Have you ever thought what is the function between levels and xp?

 

 

 

I have, and i have never got a correct answer. If you have, tell me.

 

 

 

What is the function between 2 and 83? or 5 and 388? or 99 and 13,034,431? I would be happy if someone knows this. :D

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I did some math and if you do the 99 xp, /99. is 131600(....)

 

 

 

 

 

 

 

and, 83 /2 = 41.5

 

 

 

388/5=77.6

 

 

 

Wich doesn't make any sence, no links, I mean I don't see any links to it all, no reason I guess. Just a roleplaying game how it should be, getting xp. :)

 

 

 

But I see the dudes above me, did some way better maths :-#

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The experience doubles every 7 levels, so 92 is half the experience needed for 99, and 85 is a quarter of the experience needed for 99.

 

 

 

 

 

 

 

That's still far from accurate. Level 1 is 83 xp, and level 2 176? That's already more than double in just one level. And lv 8 is 800 something xp - Although it does get more accurate at higher levels.

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Just had maths exam ::' . I could give it a try, but no.

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Have you ever thought what is the function between levels and xp?

 

 

 

I have, and i have never got a correct answer. If you have, tell me.

 

 

 

What is the function between 2 and 83? or 5 and 388? or 99 and 13,034,431? I would be happy if someone knows this. :D

 

 

 

 

 

 

 

 

 

 

 

the way your question is formulated is indeed complex and confusing i shall offer two separate answers

 

 

 

 

 

 

 

 

 

 

 

1, filler. to please and so that it does not seem like it takes weeks to level, if their was only 25 lvls per skill and lvl 25 was equal to 99, lets just say ud feel awfully depressed about lvling up. where as now its like omg, 200k exp thats not too bad, but then at lvl 90s its like oh hey 750k exp...thats a little bit but ok i can handle that.

 

 

 

 

 

 

 

 

 

 

 

as for my second answer, i shall let my 2 associates explain why their are lvls

 

 

 

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Basically Celebi is asking if there is a relation ship between level and exp needed.

 

 

 

 

 

 

 

in deed their are theorys...one i know is known to me as the "ghost lvl" the which is lvl 100. i would explain what i was once told about it, but their are some skeptics out their and i dont feel like going into detail for the insane.

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Probably about the formula how the exp needed for each level is determined.

 

 

 

 

 

 

 

Found this at http://www.mirwoj.opus.chelm.pl/rs/index.php?pid=b04 :

 

 

 

exp_formula.gif

 

 

 

 

 

 

 

:shock: nice find... dont understand it thou :oops:

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exp_formula.gif

 

 

 

Lol wth? Gah, I don't understand that. Only Einstein would understand something like that. :wall: :oops:

 

 

 

 

 

 

 

:?

 

 

 

 

 

 

 

Experience equals the rounded down number of the sumation of your level minus one of the rouneded down number of current number (being X) times 2 to the power of your level and root 7. Then divide by 4.

 

 

 

 

 

 

 

You'll learn Sumation in High School math, not hard. The only thing not actual math like is floor which is a computer term for rounding down.

 

 

 

 

 

 

 

Edit: Sumation means that you start at x=1 and then do the formula and you add to your received number by adding the next value of x until you reach that L-1 value.

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The way to really see would be to graph it all and see if the line is an even curve...

 

 

 

I remember seeing a thread way back where someone actually did plot out xp vs lvl on a curve, and from what I remember it looked pretty close to an exponential graph, at least the last part did. I honestly doubt that there actually is a function for the relationship between xp and lvl, but if there is one it would have to be piecewise function.

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Have you ever thought what is the function between levels and xp?...

 

 

 

There are 2 100% accurate formulas that convert Level into Exp.

 

 

 

 

 

 

 

First, there is Phil's discrete formula

 

 

 

equation.gif

 

 

 

 

 

 

 

and then there is Wally's continuous version

 

 

 

 

 

 

 

I have modified the continuous form of the skill experience formula

 

 

 

to exactly match Phil's formula up to level 132.

 

 

 

(Btw, level 132 is about 342 million experience for a single skill)

 

 

 

 

 

 

 

The modified formula is:

 

 

 

 

 

 

 

Experience = floor(A*(2^(L/7)-2^(1/7)) + B*L^5 + C*L^4 + D*L^3 + E*L^2 + F*L + G)

 

 

 

 

 

 

 

Where L is the Level.

 

 

 

So now it's an exponential function plus a 5th degree polynomial with

 

 

 

 

 

 

 

A = 720.533673767946

 

 

 

B = 3.54298390625729e-09

 

 

 

C = -1.0176384179772e-06

 

 

 

D = 9.69859806900786e-05

 

 

 

E = 0.121741672963253

 

 

 

F = -0.2074127222877

 

 

 

G = 0.139103528112173

 

 

 

 

 

 

 

This matches 100% with the 100 known Runescape exp values,

 

 

 

and matches Phil's values for levels 101 to 132.

 

 

 

 

 

 

 

 

 

 

 

Now that we know a continuous form of the function that suggests

 

 

 

that the inverse of the function would be logarithmic.

 

 

 

So, here's function that converts your Exp into a Level

 

 

 

 

 

 

 

For example, here is an inverse Experience function.

 

 

 

 

 

 

 

Let E be your experience

 

 

 

Then compute x = naturallog(E+1)

 

 

 

 

 

 

 

The your level is approximately

 

 

 

 

 

 

 

Level = (A*x^5 + B*x^4 + C*x^3 + D*x^2 + E*x + 1)/(F*x^4 + G*x^3 + H*x^2 + J*x + 1)

 

 

 

 

 

 

 

where A, B, C, D, and E are

 

 

 

0.00565991302624555

 

 

 

-0.0980045250107375

 

 

 

0.683889491465737

 

 

 

-2.15204562908116

 

 

 

2.48782566542775

 

 

 

 

 

 

 

and F, G, H, and J are

 

 

 

0.000567384324887069

 

 

 

-0.00650538625289637

 

 

 

0.0415346760409815

 

 

 

-0.201061667538983

 

 

 

 

 

 

 

The inverse Experience function is nice because it tells you how far you are through a level.

 

 

 

 

 

 

 

Hope this helps

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you can find a, b, c, d, e, f, and such easily with a curve fitting program. Finding EXACT values would be hard, and slow, but finding values that are good enough is easy.

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id understand that equation but I dont know what the E means yet heh

 

 

 

 

 

 

 

I think the "E" is zigma...

 

 

 

 

 

 

 

..if so this mean's "the sum of"

When people tell me "plz" just because it's shorter than, I feel perfectly justified to answer "No" because it's shorter than "Yes"
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id understand that equation but I dont know what the E means yet heh

 

 

 

 

 

 

 

I think the "E" is zigma...

 

 

 

 

 

 

 

..if so this mean's "the sum of"

 

 

 

 

 

 

 

the E is indeed sigma, a greek letter. summation is farily simple, like someone said, you learn it in high school algebra. i knew it had to be some sort of exponential function, never had a clue that the formula would be that complex though. i never cared that much to try and figure it out.

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Example written in VB:

 

 

 

 

 

 

 

for c = 1 to level-1

 

 

 

experience = experience + int(c+300*2^(c/7))

 

 

 

next

 

 

 

 

 

 

 

experience = int(experience/4)

 

 

 

 

 

 

 

 

 

 

Example written in JS:

 

 

 

 

 

 

 

experience = 0;

 

 

 

 

 

 

 

for (c=1; c <= level-1; c++)

 

 

 

experience += Math.floor(c+300*Math.pow(2, c/7));

 

 

 

 

 

 

 

experience = Math.floor(experience/4);

 

 

 

 

 

 

 

 

 

 

The first 120 levels:

 

 

 

 

 

 

 

0

 

 

 

83

 

 

 

174

 

 

 

276

 

 

 

388

 

 

 

512

 

 

 

650

 

 

 

801

 

 

 

969

 

 

 

1154

 

 

 

1358

 

 

 

1584

 

 

 

1833

 

 

 

2107

 

 

 

2411

 

 

 

2746

 

 

 

3115

 

 

 

3523

 

 

 

3973

 

 

 

4470

 

 

 

5018

 

 

 

5624

 

 

 

6291

 

 

 

7028

 

 

 

7842

 

 

 

8740

 

 

 

9730

 

 

 

10824

 

 

 

12031

 

 

 

13363

 

 

 

14833

 

 

 

16456

 

 

 

18247

 

 

 

20224

 

 

 

22406

 

 

 

24815

 

 

 

27473

 

 

 

30408

 

 

 

33648

 

 

 

37224

 

 

 

41171

 

 

 

45529

 

 

 

50339

 

 

 

55649

 

 

 

61512

 

 

 

67983

 

 

 

75127

 

 

 

83014

 

 

 

91721

 

 

 

101333

 

 

 

111945

 

 

 

123660

 

 

 

136594

 

 

 

150872

 

 

 

166636

 

 

 

184040

 

 

 

203254

 

 

 

224466

 

 

 

247886

 

 

 

273742

 

 

 

302288

 

 

 

333804

 

 

 

368599

 

 

 

407015

 

 

 

449428

 

 

 

496254

 

 

 

547953

 

 

 

605032

 

 

 

668051

 

 

 

737627

 

 

 

814445

 

 

 

899257

 

 

 

992895

 

 

 

1096278

 

 

 

1210421

 

 

 

1336443

 

 

 

1475581

 

 

 

1629200

 

 

 

1798808

 

 

 

1986068

 

 

 

2192818

 

 

 

2421087

 

 

 

2673114

 

 

 

2951373

 

 

 

3258594

 

 

 

3597792

 

 

 

3972294

 

 

 

4385776

 

 

 

4842295

 

 

 

5346332

 

 

 

5902831

 

 

 

6517253

 

 

 

7195629

 

 

 

7944614

 

 

 

8771558

 

 

 

9684577

 

 

 

10692629

 

 

 

11805606

 

 

 

13034431

 

 

 

14391160

 

 

 

15889109

 

 

 

17542976

 

 

 

19368992

 

 

 

21385073

 

 

 

23611006

 

 

 

26068632

 

 

 

28782069

 

 

 

31777943

 

 

 

35085654

 

 

 

38737661

 

 

 

42769801

 

 

 

47221641

 

 

 

52136869

 

 

 

57563718

 

 

 

63555443

 

 

 

70170840

 

 

 

77474828

 

 

 

85539082

 

 

 

94442737

 

 

 

104273167

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