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Algavo

Scholars Day - Mathematical Excursion -

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Scholars Day

 

On Scholars Day you get in any skill the normal experience times p.

That applies even for overall. So overall is the normal experience times p².

 

1) What skill to train on at this day? (measuring the experience)

I abbreviate exp1 = normal experience in skill1 and exp2 = normal experience in skill2.

 

Let's assume you have to decide between to skills: skill1 and skill2.

The relation between both is a = exp1 / exp2

-> exp1 = a * exp2

 

To compare the exp you get, i assume that you do the one skill at scholars day,

and the other skill after that until you get the same amount of experience like

you would have goten when you did the second skill at scholars day.

 

So in any case you will get p*exp1 in skill1 and p*exp2 in skill2.

 

The interesting thing now is the different overall experience:

1. Possibility: When you do skill1 at scholars day and skill2 after that you get:

 

oa exp(1) = p² * exp1 + p * exp2

oa exp(1) = p² * a * exp2 + p * exp2

 

2. Possibility: When you do skill2 at scholars day and skill1 after that you get:

 

oa exp(2) = p² * exp2 + p * exp1

oa exp(2) = p² * exp2 + p * a * exp2

 

Let us analyze the relation s (for smartness :>)between both:

 

s = oa exp(1) / oa exp(2)

s = (p² * a * exp2 + p * exp2) / (p² * exp2 + p * a * exp2)

s = (p * a + 1) / (p + a)

 

Let's look at the different cases:

s >= 1

<=> p * a + 1 >= p + a

<=> p * a - a >= p - 1

<=> a * ( p - 1) >= p - 1

<=> a >= 1

 

So s < 1 implices a < 1

 

Conclusion:

1. When a >= 1 (exp1 >= exp2), you should do skill1.

2. When a < 1 (exp1 < exp2), you should do skill2.

 

Now i try to determine the range of s.

Therefore i look at the border cases of a:

a = 0:

s = (p * 0 + 1) / (p + 0) = 1 / p

 

1/a = 0:

s = (p * a + 1) / (p + a)

s = a * ( p + 1/a ) / a * ( 1/a * p + 1)

s = (p + 1/a) / ( 1/a * p + 1) = (p + 0) / (0*p + 1) = p/1 = p

 

=> s in [1/p;p]

 

Conclusion:

1. s and 1/s are maximal p (that's the case if you are specialist in 1 skill)

2. s = 1 <=> exp1 = exp2 (that's the case if you are generalist). This means

you have no benefit of this article because you get the same experience.

3. Specialists have a greater benefit of following this article ;)

 

 

 

2) What skill to train on this day? (measuring the costs)

 

I abbreviate cost1 = costs for 1 exp in skill1 and cost2 = costs for 1 exp in skill2.

The relation c is cost1/cost2.

At Scholars day you get p*exp1 in skill1 with only cost1*exp1 costs.

That means you 'earn' (p-1)*cost1*exp1 if you do skill1 and (p-1)*cost2*exp2.

The relation between those both 'sallaries' i gonna call e:

e = (cost1*exp1) / (cost2*exp2) = (c*cost2*a*exp2) / (cost2*exp2) = c*a

 

 

 

Conclusions:

1. Look at the costs AND the experience/hour. Exactly informations about your

personal exp/hour and costs/exp are necessary to decide well :-)

 

 

Feel free to complain :pickaxe:

Beol

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Math is all fine and well.... but meh ;)

 

Simply, if you're an OA exp whore slave, train A/D on a Scholar's.

 

Other than that, especially if you're a more rounded char, it's best to train a skill that's much harder to level (like tailoring) - particularly those skills that don't have a dedicated special #day of their own. Scholar's used to be all about the MD sessions, but with Day of Magic....

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For me EL is 90% math and the rest is just luck. Thats part of the reason why i like this game so much.

 

Algavo , I think your approach is wrong. And i didnt understand yet what you are trying to prove. And please define those variables, that makes it easier for other ppl to reconstruct your idea. We should work together on some stuff :) Nice that someone else loves math here too :))

Edited by SolarStar

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Question: Did you really spend 2 pages showing that if you get more experience in one skill than in another, you will also get more experience in that skill (and thus in overall as well) on scholars day?

 

Kind of reminds me of "the hitchhiker's guide to the universe": "It's dark - no light".

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No Ermabwed.

 

So in any case you will get p*exp1 in skill1 and p*exp2 in skill2.

 

So you will get in both skills the same amount of experience, nevermind

if you do skill1 on scholars day and skill2 AFTER that, or skill2 on scholars

day and skill1 after that.

I assumed that so i could compare better which skill should be done on

scholars day.

 

The difference after that is not in the skill experiences, but in the overall experience.

 

 

Edits:

Here a screenshot for it:

 

scholar_skills.PNG

 

@Solarstar: what dont you understand yet? :>

Edited by Algavo

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Oh ok, but then from your post I take it that you want to investigate the overall experience and we're back at the obvious, as more experience gained on scholars will give you more bonus to overall... Or loosely following your graphs you want the same amount of experience in n skills and want to determine which of them to do on scholars day to maximize overall experience, yet the answer is obvious again... But then on second thought this is about time? In this case I got to say that in my book stuff that I can't make as much per time unit of as other stuff usually gives much better experience than the latter and thus offsets that disadvantage even if it means gobbling toadstools and poison antidotes.

 

But hey, it's a game, if people get pleasure out of forcing themselves to do one thing in game just because the server says it's a certain "day", that's their problem ;)

And if you're with that group you might as well limit your suffering by following Xena's advice: do the shit you hate.

 

Today is a special day: If you do your taxes today, your tax refund will be doubled.

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Day of No Math would be a real headache for this topic

No math also means no game, no forums, no internet, no electricity, no houses, ... :medieval:

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