First of all, did you even attempt to read the equation and understand what it says?
Yes.
Or did you just see a bunch of mathematical and logical symbols and think "gibberish".
I spent some time trying to figure out just what the hell you were trying to say with your equation. It honestly just looks like a bunch of random mathematical symbols thrown together. Hence, gibberish.
I spent HOURS working on this equation.
Time spent isn't the only requirement to have something that makes sense.
No one has bothered actually commenting on the actual content of the equation. Everyone's just glanced at it and said "GIBBERISH!" without even READING THE EQUATION.
I know you're upset about this, but your equation simply does not make sense. I don't even know what you're trying to do with it.
Otherwise I would be reading critiques on the actual mathematical logic that I used.
There are more options than what you've presented.
Not a single person has actually pointed out any particular flaws in the equation, only the fact that it's an equation.
That's because no one knows what your equation is supposed to do. You even said you didn't know. How can you expect us to?
Keep in mind I worked very hard on this. And I DID explain how I came up with this equation, but in case it's not clear, I will repeat myself in greater detail.
None of what you wrote qualifies as an explanation. It would be sufficient for an initial idea into this sort of thing, but not for the finished product. You're claiming to know the "Mage Wars equation", but can't think of any applications for it and haven't tested it at all.
However, I did not know the mathematical symbol for and/or, to indicate the choice between resources for each conversion. I vaguely remembered an algebra class where we learned that all possible solutions for the unknown variable in an equation could be written in a list like this:
x={x1, x2, x3,...}
As best I can tell, you're referring to a set, though sets don't appear in equations like you have. This makes it ambiguous if you're referring to a vector instead (which would be from Linear Algebra).
Therefore, I thought a list separated by commas was the equivalent of saying "and/or" between every value on the list. I'm starting to see that a lot of people don't know that notation, or that notation is wrong. That's what I used at first before I started to realize that:
{-m, -a, -p, -t, -d, -l}+{m, a, p, t, d, l}
See, here is part of the reason why it's confusing. It you're referring to sets, then the proper notation would be:
{-m, -a, -p, -t, -d, -l} U {m, a, p, t, d, l} = {+/- m, +/- a, +/- p, +/- t, +/- d, +/- l}
On the other hand, if you're referring to vectors you'd have:
Let A = {m, a, p, t, d, l}
{-m, -a, -p, -t, -d, -l} = -{m, a, p, t, d, l} = -A
-A + A = 0 (0-vector, which is {0, 0, 0, 0, 0, o} in R 6).
Either way doesn't seem to be what you're intending.
After that I was struck by another epiphany. If I could multiply this expression for resource conversion in mage wars by the number of times it occurred in the game, I might be able to figure out an equation for all resource conversions in the game. I realized that nearly all if not all chains of resource conversions started with actions and activated abilities
[{-m, -a, -p, -t, -d, -l}+{m, a, p, t, d, l}]*[r*a]
where r=total # of rounds in the game.
So you wanted to multiply your set/vector/thing by the total number of rounds and the total number of activations in the game? Or is it in that round? Or what? You're unclear here.
Then I realized I had made a mistake. Not all resource conversions were voluntary by one player or the other, even though most chains of resource conversions started off that way. Some resource conversions triggered without anyone choosing to activate them.
[{-m, -a, -p, -t, -d, -l, -tr}+{m, a, p, t, d, l, tr}]*[r*(a+tr)
(tr=trigger)
Similarly, trigger is left ambiguous.
I then realized that there were some chains of resource conversions that started with a trigger rather than an activation. They were the free mana and actions triggered during the channeling and reset phases, whose values were equal to the channeling stat and the number of objects with the creature type.
r|total|*(m(cavg/r)+(areset)avg/r
Are you saying that a
reset = the sum of all channeling plus the number of creatures on the board? What makes you so sure of this? How do you know channeling and creatures even relate like this?
And now for the full equation (or at least the latest version):
gfinal=gi+r|total|*(m(cavg/r)+(areset)avg/r+∑[(-sn∨-cn∨-mn∨-on∨-an∨-trn∨-pn∨-tn∨-dn∨-ln∨0n∨-stpn∨-phn∨-stgn∨-rcurrentn)+(sn, cn, mn, on, an, trn, pn, tn, dn, ln, 0n, stpn, phn, stgn, rcurrentn)]*[r|total|*(a+tr)avg/r]
What the h*** is a summation doing in there? Over what are you summing???
*Sigh.*
You've got a ton of variables in there, yet you haven't explained how they should be represented at all. That's a big part of why this whole thing is just gibberish.
How does one give a value of "tempo", for example? Or how do you determine the value of "gamestate"? You mentioned walls play into this...do you just mean the number or their location? How do passage blocked and LoS blocked change this?
The only thing you've done is thrown a bunch of "variables" together without actually explaining how they relate. Just saying, "oh, all these resources should go here and then I'll multiply them by other stuff for reasons" doesn't give anyone any useful information. And you haven't even gotten to coefficients yet!
I don't mean any of this as an attack on you personally. I understand what it's like to put time into things and get nothing in return. However, I'm not going to lie to you and say it's great when it doesn't even make sense.