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แม่แบบ:As (or แม่แบบ:As) is a stat that all units have, including minions, monsters, and buildings. Increasing แม่แบบ:As reduces the magic damage the unit takes. Each champion begins with some แม่แบบ:As which may increase with level. You can gain additional แม่แบบ:As from abilities, items, masteries, and runes. แม่แบบ:As stacks additively.

All champions begin with แม่แบบ:As. Currently no ranged champion gains แม่แบบ:As per level, but most melee champions do except and .

, , , and do not gain แม่แบบ:As per level because they are not always melee champions due to their variable attack range.

All champions that do gain แม่แบบ:As per level gain แม่แบบ:As per level, reaching แม่แบบ:As at level 18.

## Damage reduction Edit

แม่แบบ:As reduces the damage of incoming แม่แบบ:As by a percentage. This percentage is determined by the formula: Damage Reductionแม่แบบ:Equalsแม่แบบ:Asแม่แบบ:Divided by(100แม่แบบ:Plusแม่แบบ:As). For example, a champion with 150 points of แม่แบบ:As would receive 60% reduced damage from แม่แบบ:As. Incoming แม่แบบ:As is multiplied by a factor based on the unit's แม่แบบ:As (same with แม่แบบ:As):

$\pagecolor{Black}\color{White}{\rm Damage\ multiplier}=\begin{cases} {100 \over 100+{\it MR}}, & {\rm if\ }{\it MR} \geq 0\\ 2 - {100 \over 100 - {\it MR}}, & {\rm otherwise} \end{cases}$

Examples:

## Stacking magic resistance Edit

Every point of แม่แบบ:As requires a unit to take 1% more of its maximum health in แม่แบบ:As to be killed. This is called "แม่แบบ:As".

Example: A unit with แม่แบบ:As has 160% of its แม่แบบ:As in its แม่แบบ:As, so if the unit has แม่แบบ:As, it will take แม่แบบ:As to kill it.

What this means: by definition, แม่แบบ:As does not have diminishing returns, because each point increases the unit's แม่แบบ:As against แม่แบบ:As by 1% of its current แม่แบบ:As value whether the unit has แม่แบบ:As or แม่แบบ:As.

For a more detailed explanation, see this video.

Unlike แม่แบบ:As, increasing แม่แบบ:As makes healings and shields more effective because it requires more raw damage from your enemies to remove the แม่แบบ:As granted. This is called indirect scaling.

## Optimal efficiency (theoretical) Edit

Note: แม่แบบ:As, commonly referred to just as 'effective health', describes the amount of raw burst damage a champion can receive before dying in such a short time span that he remains unaffected by any form of แม่แบบ:As (even if the actual considered damage is of sustained form). Unless champion's resists aren't reduced below zero, it will always be more than or equal to a champion's displayed แม่แบบ:As in their แม่แบบ:As bar and it can be increased by buying items with extra แม่แบบ:As, แม่แบบ:As and แม่แบบ:As. In this article, แม่แบบ:As will refer to the amount of raw 'แม่แบบ:As' a champion can take.

In almost all circumstances, champions will have a lot more แม่แบบ:As than แม่แบบ:As such that the following inequality will be true: แม่แบบ:As > แม่แบบ:Asแม่แบบ:Plus100.

If this inequality is true, a single point of แม่แบบ:As will give more 'แม่แบบ:As' to that champion than a single point of แม่แบบ:As.

If (แม่แบบ:As < แม่แบบ:Asแม่แบบ:Plus100), 1 point of แม่แบบ:As will give more แม่แบบ:As than 1 of แม่แบบ:As.

If (แม่แบบ:Asแม่แบบ:Equalsแม่แบบ:Asแม่แบบ:Plus100), 1 point of แม่แบบ:As will give exactly the same amount of แม่แบบ:As as 1 point of แม่แบบ:As.

Because of this relationship, theoretically, the way to get the maximum amount of แม่แบบ:As from a finite combination of แม่แบบ:As and แม่แบบ:As would be to ensure that you have exactly 100 more แม่แบบ:As than แม่แบบ:As (this is true regardless of how much แม่แบบ:As and แม่แบบ:As you actually already have).

Example: Given a theoretical situation where you start off with แม่แบบ:As and แม่แบบ:As and are given an arbitrary sufficient number of stat points (x ≥ 100), each of which you can either use to increase your แม่แบบ:As or แม่แบบ:As by 1 point, the way to maximize your แม่แบบ:As is to add points to your แม่แบบ:As until your แม่แบบ:Asแม่แบบ:Equals(แม่แบบ:Asแม่แบบ:Plus100)แม่แบบ:Equals(0แม่แบบ:Plus100)แม่แบบ:Equals100, and then split the remaining stat points in half, spend half on your แม่แบบ:As and half on your แม่แบบ:As.

However, this is only theoretically true if we consider both แม่แบบ:As and แม่แบบ:As to be equally obtainable resources with simplified mechanism of skill point investment. In reality a player buys these stats for แม่แบบ:As instead. As แม่แบบ:As of แม่แบบ:As (derived from cost of basic magic resistance item) is currently (as of season six) {{#vardefine:n|6.75}}6.75 times higher than แม่แบบ:As of แม่แบบ:As (derived from cost of basic health item), we theoretically can maximize แม่แบบ:As represented by product of {{#vardefine:n|0.01}}0.01แม่แบบ:Timesแม่แบบ:Asแม่แบบ:Times(แม่แบบ:Asแม่แบบ:Plus100) with แม่แบบ:As as input variable by satisfying the following equation: แม่แบบ:Asแม่แบบ:Equals{{#vardefine:n|6.75}}6.75แม่แบบ:Times(แม่แบบ:Asแม่แบบ:Plus100). The graph and conclusions obtained by solving it are mentioned in the analogous section about armor.

Example: Given a theoretical situation where you start off with แม่แบบ:As and แม่แบบ:As and are given an arbitrary sufficient amount of แม่แบบ:As (x ≥ {{#vardefine:n|253.125}}253.125), which you can either use to increase your แม่แบบ:As or แม่แบบ:As, the way to maximize your แม่แบบ:As is to buy แม่แบบ:As until your แม่แบบ:Asแม่แบบ:Equals{{#vardefine:n|6.75}}6.75แม่แบบ:Times(แม่แบบ:Asแม่แบบ:Plus100)แม่แบบ:Equals{{#vardefine:n|6.75}}6.75แม่แบบ:Times(0แม่แบบ:Plus100)แม่แบบ:Equals675, and then split the remaining แม่แบบ:As in half, spend half on your แม่แบบ:As and half on your แม่แบบ:As (as former is {{#vardefine:n|6.75}}6.75 times cheaper than the latter, it would lead to buying {{#vardefine:n|6.75}}6.75 times more additional แม่แบบ:As than แม่แบบ:As and thus naturally reaching equality in the equation above).

Now we just formulated a simple 'rule of preserving equilibrium (or maximum แม่แบบ:As)':

Once equilibrium state is reached, all we need to do to preserve it is to always distribute แม่แบบ:As equally into all involved stats for the rest of the game.

... or in our case, always แม่แบบ:As into แม่แบบ:As and แม่แบบ:As into แม่แบบ:As.

Again this model is highly simplified and cannot be exactly applied in cases when we are buying any other item than Null-Magic Mantle [[Null-Magic Mantle|basic แม่แบบ:As item]], or Ruby Crystal [[Ruby Crystal|basic แม่แบบ:As item]] (for example if our decision-making process would involve instead of , the above model would need to use equilibrium constant {{#vardefine:n|6.84}}6.84). Even considering the purchase of different แม่แบบ:As or แม่แบบ:As items with differing แม่แบบ:As (quite natural expectation under real circumstances) makes use of single constant utterly impossible. Going even further, the continuous model simplifies a discrete character of real shopping, as you cannot really buy {{#vardefine:n|1.125}}1.125แม่แบบ:Times for แม่แบบ:G, so with that much แม่แบบ:As you opt to buy either a single or a single , drastically changing the equilibrium constant to {{#vardefine:n|6.0}}6.0.

However, thankfully to almost linear item stats' แม่แบบ:As a player can use weakened base equilibrium condition in a form: แม่แบบ:As ≈ {{#vardefine:n|6.75}}6.75แม่แบบ:Times(แม่แบบ:Asแม่แบบ:Plus100) safely enough to speed up decision-making. The important thing to remember is that there is no reason to hold to it too strictly.

Note: In case of แม่แบบ:As only the basic constant {{#vardefine:n|6.75}}6.75 is slightly changed to {{#vardefine:n|7.5}}7.5.

This information is strongly theoretical and due to game limitations from champions' base stats, innate abilities and non-linearity of แม่แบบ:As of item stats (แม่แบบ:As of stats differs for different items or is even impossible to be objectively evaluated due to interference of unique item abilities), the real equilibrium function is too complicated to be any useful.

The complexity of this problem provides space for players' intuition to develop and demonstrate their itemization skills. If given sufficient amount of time, each player could perfectly analyze situation at any given moment when he exited the shop and tell what should he buy at that moment for available gold to maximize own แม่แบบ:As. The sheer impossibility of doing such thing in real time creates opportunity to develop the skill. Not only that but often choosing to maximize current แม่แบบ:As leads to suboptimal decision branches in the future. The summary on end game screen about type of fatal damage taken is a key part of this decision process as well.

Instead, broadly speaking, items which provide both แม่แบบ:As and แม่แบบ:As give a very high amount of แม่แบบ:As against แม่แบบ:As compared to items which only provide แม่แบบ:As or only provide แม่แบบ:As. These items should be purchased when a player is seeking efficient ways to reduce the แม่แบบ:As they take by a large amount. Furthermore, these items are among all available items the best ones to distribute their แม่แบบ:As equally among both แม่แบบ:As and แม่แบบ:As, thus working perfectly for rule of preserving equilibrium.

## Magic resistance as scaling Edit

These use the champion's แม่แบบ:As to increase the magnitude of the ability. It could involve total or bonus แม่แบบ:As. By building แม่แบบ:As items, you can receive more benefit and power from these abilities.

## Increasing magic resistance Edit

### Champion abilities Edit

Note: Only the แม่แบบ:As buff effect of these abilities is shown here, to read more information on each of these abilities, follow the link on each of them.

### Runes Edit

Name Type Tier 1 (Lesser) Tier 2 (Normal) Tier 3 (Greater)
Magic Resist Mark X X 0.77}}0.77

205 IP

Seal 0.41}}0.41

N/A

0.58}}0.58

1 IP

0.74}}0.74

205 IP

Glyph {{#vardefine:n|0.74}}0.74

N/A

{{#vardefine:n|1.04}}1.04

1 IP

{{#vardefine:n|1.34}}1.34

205 IP

Quintessence {{#vardefine:n|2.22}}2.22

N/A

{{#vardefine:n|3.11}}3.11

1 IP

4

1025 IP

Magic Resist, Scaling

(Magic Resist per level)

Mark X X 0.07}}0.07 per level ({{#vardefine:n|1.26}}1.26)

205 IP

Seal X X 0.1}}0.1 per level ({{#vardefine:n|1.8}}1.8)

410 IP

Glyph X X {{#vardefine:n|0.16}}0.16 per level ({{#vardefine:n|2.88}}2.88)

205 IP

Quintessence X X {{#vardefine:n|0.37}}0.37 per level ({{#vardefine:n|6.66}}6.66)

1025 IP

## Ways to reduce magic resistance Edit

See magic penetration. Note that แม่แบบ:As and แม่แบบ:As are different.

## Trivia Edit

(Last updated 09/05/2016 on patch 6.17)

• One of the biggest amount of แม่แบบ:As any champion can obtain is {{#vardefine:n|1092.9760608}}1092.9760608 (which reduces แม่แบบ:As by {{#vardefine:n|91.618}}91.618%), being a level 18 .