League Calculations

Unfortunately, I can't say so.

I assume 'power curve' means the Physical/True DPS an ADC is capable of from start to end of a game. The problem is that for the vast majority of ADCs, their power is defined by their stat items, which now makes gold one of the defining variables of the calculation on top of time already being a very big variable. Now, admittedly, gold can be cross referenced with time, but that's only if we assume a lot of things that don't normally ever happen in an actual game. Players have to back, players get kills or get killed, Junglers tax, dragon/baron/towers all grant gold, there's so much that you have to ignore that we can't ignore. I'm making a big deal out of this because from the start to the end of the game, I also have to think about levels; both how they modify the stats of the champion and their abilities, and how your support affects your leveling. I can probably do something like this if it's one or the other, but you're asking for this in time while the ADCs in question are building, which is virtually impossible to do so accurately.

And THEN there's the massive headache that is armor reduction/penetration/true damage, which makes those last two problems absolutely pointless because at any given time, an ADC's damage output is also a variable anyway.

I can probably do this project if you are asking one of these two things:

• Calculate based off a champion's base+ability stats per level, then give conjectures based on any notable patterns. This removes gold from the question and because I'm worrying about any given level at a given time, I can work around the armor variable.
• Calculate based off gold assuming the champion in question is at a certain level (I usually work with level 18). This is actually what I do for the calculations I already have on my blog, so I can guarantee my best accuracy with this in mind.

But I can't calculate your request as it is now. It asks for way too many variables 'to be plotted on a single graph'.

Who the hell down voted you...

+1

All resistances are a damage multiplier of (100/(100+MR)) (MR is Magic Resist). For example, if you are doing 500 magic damage, the calculation looks like 500 x (100/(100+MR)). Plug in 30, like the 30 Magic Resist many champions may run around with, and you are looking at an equation that looks like: 500 x (100/(100+30))= 384.6153846153846154

Adding on to this, I found that the general trend is: Percentage Penetration is stronger against higher MR (obviously), whereas Flat Penetration is stronger against lower MR, or MR that has already been reduced.

Finally, I recommend not trying to make up or assume how much Magic Resist the opponent has. Keep MR as a variable of x, graph the expression out, then note where certain penetration items exceed flat damage items.

Actually, the coding itself won't be that difficult. If you check out one of my currently posted articles, you can see the calculations used to figure out the numbers/items I come to, so I've already done a good chunk of that part of the work. Not to mention I actually am able to program to a certain degree, I can almost guarantee I can do this.

Give me a few days to come up with a sort of 'alpha' version for a single champion, and then I can see if I can reproduce the effects for every other champion in the game.

:p

I take it you don't apparently like information then.

Pfft, I guess I see where you're coming from.

I personally like it for a more solid and objective point of reference. Not to mention the absolute silliness of some recurring patterns that numbers may create.

Sorc Shoes op.

Actually, if I write it as a probability, I can find the average between the DPS with Crits and DPS without, so don't worry about that.

Also, due to how percentage health works, all I need to do is find out how much HP the opponent has for the Blade of the Ruined King to be more effective, then double that value.

I'll get it done soon.

To expand. obviously, the best order differs depending on the matchup, the duration of the trade and how it is initiated. Speaking in terms of 1v1 adc lanig. The goal is to disengage the trade at the point in time, when the damage dealt value difference is greatest. If 2 adcs have the same dps but different AS and AA DMG, then the one with more AS is inherently at the disadvantage because a trade must extend long enough for them to get one more AA than their oponent in order to make he trade favorable. They can also be kited to negate the difference in AS. This concept gives some guidence as to the timing of gap closing skills like tumble. The reasoon i mention this and the point that i want you to consider is thus, is it better to use a gap closing skill to engage or disengage? Keep in mind there are different answers for different situations, im just trying to hammer out which situations those are.

Well this is an old thread to a dead topic.

Anywho, skill order is less of a mathematical thing, and more of a "for the situation" or "for the (end) goal" thing. For example, you almost never want to max Sion's Q first due to its reliability issues, so this leaves two options: His Shield and his Roar. While his Shield does hurt, it's much more expensive than his roar and its offensive usage requires you to be extremely close up to the enemy, making it inefficient in both mana cost and range relative to his Roar if you want to poke. This is why Sion players who want to be aggressive in lane like to max their E; not because there's some complicated math and calculations at work, but it's a simple execution of logic.

Applications of a straightforward thinking like this can answer the rest of your question.

• Frontloaded instant activation abilities always want to go first, and big slow abilities come second. Let's take a champion like Katarina for example. You almost always want to fire her Q-E-W first, then fill the time they are on cool down with your Ultimate.
• Unless the high cool down ability is one like Sion's Q, which has a lot of restrictions surrounding its activation, you almost always want to fire non-mobility/cc abilities right away during a trade. The reason why I distinctly call out mobility and cc abilities is, as they also tend to have much longer cool downs, these are the abilities you need to use smartly, not quickly, to win fights. (For example, you almost never want to use your Tumble in an offensive manner as Vayne. Because she's so incredibly squishy, reserving her Tumble exclusively for dodging threats can be the difference between life or death for her).
• AA if the ability is an auto attack reset. For example, Jax's W resets his auto attack animation. What this means is that if you activate it immediately after his auto attack lands, he'll use his W empowered auto attack much faster than it is normally supposed to happen. Any abilities with cast animations however generally should always fire first.

Logic, not math, is your best friend here. If you have any more champion specific examples you need to ask about, feel free to ask, but this calls for player experience and straightforward thinking to figure out.

Oh boy, functions of time.

The biggest thing to immediately note is that Lucian has a near automatic edge over you in regards to burst damage. Because of how accelerated his auto attack animation is and especially due to the nature of his W (star thing), Lucian's almost certain to win in terms of burst damage in any practical application of this, which is the situation you're asking of me.

Give me a few minutes to calculate their individual DPS values, which is Caitlyn's way of beating Lucian. Just keep in mind that the practical answer to this situation is that Lucian will generally win in terms of front loaded burst damage.

(You can quantify range via a single auto attack. You can almost certainly land an auto attack before Lucian even begins his windup. After that though is fair game.)

In theory, that's actually relatively simple.

Movespeed is already calculated by units traveled per second. Therefore, you can find your effective move speed by subtracting the amount of time it takes for the auto attack to wind up (you can ignore the auto attack cool down because of how stutter stepping words).

The problem is the large majority champions' auto attack animation speeds aren't public, or at least I haven't been able to find them. If I can get a site that posts that publicly, effective movement speed can be calculated.