got some questions

[gasspipe]

1. to poor-man shield and/or stout shield stack with vanguard
2. do 2 vanguards stack ?
3. does magina and/or rubick's magic ressiliance stack with hood/pipe ?
4. what does Tiny actually gets by buying aghanim, I didn't notice any damage increase, only the basic 10 stats life+mana pool and he gets tree in hand ?

[GREED]

stout poor and vang stacks but not as u think. block % doesnt adds up.. so basiacallz if u have 2 vanguards it will work like this>first vang 70% block for 40dmg  second one 70% of that remaining 30%. i think * but u get hp and regen from that second vang ( and its waste of money building 2 - 4.5k gold :S)

magina and rubick can make hood pipe and shiet but by simple math that resistance is not needed and again its waste of gold. better make raw hp or bkb

regarding tiny> ^With Aghanim's Tiny equips a tree permanently, increasing his attack range to 235 (while staying melee), giving him a 50% Cleave in a 400 AoE, and 1.75x damage towards buildings. ^

[div.ide]

I'll basically repeat what G___R___E___E___D said, except with more details.

Stacking damage block works the same as stacking crits or bashes - you can proc multiple damage blocks (chance stacks multiplicatively), but last acquired overrides others. So with multiple vangurds full calculation for proc chance would go like this: (since we ony care IF it proc or not)
Chance you proc vanguard : 0.7
Therefore chance you won't proc it: (1-0.7)

Chance you won't proc any of your vanguards:
(1-0.7)*(1-0.7)*... etc. depending how many you got.

Now opposite to above - chance you proc at least one (or more):
1 - (1-0.7) = 0.7         //if 1 vanguard carried
1 - (1-0.7)*(1-0.7) = 0.91      //if 2
1 - (1-0.7)*(1-0.7)*(1-0.7)= 0.977     //if 3
etc.

So you can see chance barely changes with more than one.
Now last acquired overrides others which means amount of damage blocked does not increase.
However multiplying chance by damage blocked you can calculate how mych would you bock on average, and get (for melee):
28      for one
36.4   for two
39.08 for three

Particularly revelant, Tidehunter's Kraken shell also uses damage block (100% chance, 28 dmg), so if you skill his passive then get  vanguard:
Chance any of then will proc is 1 (because kraken would always work, duh)
Vanguard is last acquired, thus overrides kraken on proc.
If vanguard proc, you get 40 damage blocked with 0.7 chance
Otherwise it's 28 blocked via Kraken with 1-0.7= 0.3 chance
Effectively blocking 40*0.7 + 28*0.3 = 36.4 blocked on average (30% increase compared to 28 from kraken)

You can do similar calculations for PMS VG on your own, just remember about reverse order of acquisition.


Regarding magic resistance.
Magic resistantance stacks multiplicatively, and calculation would be similar to 1st equation with vanguards:
Let's assume you have similar sources of magic resistance (no immunity, no barrier) with values of A, B, C, ... respectively.
After applying magic resiatance A, damage will be reduced  from 1 to (1-A), etc for others
After applying all of them, damage will be reduced from 1 to (1-A)*(1-B)*(1-C) ... etc. (multiplicative stacking)
Now, magic resistance would be difference between damage before and after reduction:
1 - (1-A)*(1-B)*(1-C) ... etc. (see the analogy with damage block chances?)

In place of A, B, C... you can put:
- innate hero magic resistance (0.25),
- Magina Spell shield (0.26/0.34/0.42/0.5),
- Planeswalker cloak, Hood or Pipe (0.15 or 0.30) warning, only last acquired will work if you get mutiple
- Null field (0.05/0.1/0.15/0.2)
- Flesh Heap (0.06/0.12/0.18/0.24)
- Ice Vortex (-0.1/-0.15/-0.2/-0.25)
- Veil of Discord (-0.25)
- Natural Order (-0.06/-0.14/-0.2/-0.26)
- Ethereal state (-0.4), though it technically does not affect magic resistance, but all in all calculation is the same.

Negative values for amplifiers.

Play around with numbers to see how ineffective it gets if you start stacking too much.

[[kosarkas]]

I'll basically repeat what G___R___E___E___D said, except with more details.

Stacking damage block works the same as stacking crits or bashes - you can proc multiple damage blocks (chance stacks multiplicatively), but last acquired overrides others. So with multiple vangurds full calculation for proc chance would go like this: (since we ony care IF it proc or not)
Chance you proc vanguard : 0.7
Therefore chance you won't proc it: (1-0.7)

Chance you won't proc any of your vanguards:
(1-0.7)*(1-0.7)*... etc. depending how many you got.

Now opposite to above - chance you proc at least one (or more):
1 - (1-0.7) = 0.7         //if 1 vanguard carried
1 - (1-0.7)*(1-0.7) = 0.91      //if 2
1 - (1-0.7)*(1-0.7)*(1-0.7)= 0.977     //if 3
etc.

So you can see chance barely changes with more than one.
Now last acquired overrides others which means amount of damage blocked does not increase.
However multiplying chance by damage blocked you can calculate how mych would you bock on average, and get (for melee):
28      for one
36.4   for two
39.08 for three

Particularly revelant, Tidehunter's Kraken shell also uses damage block (100% chance, 28 dmg), so if you skill his passive then get  vanguard:
Chance any of then will proc is 1 (because kraken would always work, duh)
Vanguard is last acquired, thus overrides kraken on proc.
If vanguard proc, you get 40 damage blocked with 0.7 chance
Otherwise it's 28 blocked via Kraken with 1-0.7= 0.3 chance
Effectively blocking 40*0.7 + 28*0.3 = 36.4 blocked on average (30% increase compared to 28 from kraken)

You can do similar calculations for PMS VG on your own, just remember about reverse order of acquisition.


Regarding magic resistance.
Magic resistantance stacks multiplicatively, and calculation would be similar to 1st equation with vanguards:
Let's assume you have similar sources of magic resistance (no immunity, no barrier) with values of A, B, C, ... respectively.
After applying magic resiatance A, damage will be reduced  from 1 to (1-A), etc for others
After applying all of them, damage will be reduced from 1 to (1-A)*(1-B)*(1-C) ... etc. (multiplicative stacking)
Now, magic resistance would be difference between damage before and after reduction:
1 - (1-A)*(1-B)*(1-C) ... etc. (see the analogy with damage block chances?)

In place of A, B, C... you can put:
- innate hero magic resistance (0.25),
- Magina Spell shield (0.26/0.34/0.42/0.5),
- Planeswalker cloak, Hood or Pipe (0.15 or 0.30) warning, only last acquired will work if you get mutiple
- Null field (0.05/0.1/0.15/0.2)
- Flesh Heap (0.06/0.12/0.18/0.24)
- Ice Vortex (-0.1/-0.15/-0.2/-0.25)
- Veil of Discord (-0.25)
- Natural Order (-0.06/-0.14/-0.2/-0.26)
- Ethereal state (-0.4), though it technically does not affect magic resistance, but all in all calculation is the same.

Negative values for amplifiers.

Play around with numbers to see how ineffective it gets if you start stacking too much.

Nicely put )

[gasspipe]

thank you for all this

makes things better to know

[shpura]

Magina's resistance is COMPLETELY stackable.
Thus making your magic resistance 80% (if hood acquired)

[div.ide]

Magina's resistance is COMPLETELY stackable.
Thus making your magic resistance 80% (if hood acquired)

Wrong. 73,75% counting base resistance in. Or 79% if you add Rubick on top of that. There is no exception from rules I posted above.

[shpura]

watch dota 2 anti mage remastered and listen to wise man sunsfan
magina is an exeption, pudge also
Not sure about rubick tough

[div.ide]

Last time I checked, we are playing DotA here on playdota.eu, not Dota 2.

Regarding Dota 2...

I
don't
give
a
flying
fuck
.

[shpura]

mechanics are same, whatever man

[div.ide]

They are not the same. GS wouldn't remove Poison Nova in Dota 2, to give an example.

[Astaroth]

Yea, some things are different. AFAIK in DotA Pudge can hook cycloned units, in DotA 2 he can't...