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Thread: Riftshards vs. Savage Mace - Mathcraft

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  1. #41
    Quote Originally Posted by Rilian View Post
    ...based off the assumption that the items proc evenly (eg. Savage Mace will proc 35/100 times), which, in practice, does not happen.

    Why will this not happen?
    "If you PSR is higher then mine, you obviously don't have a life.
    You are a looser and probably a virgin."

  2. #42
    Quote Originally Posted by Mr_Manson View Post
    Why will this not happen?

    For the same reason that some ppl never win the lottery even if they played more than enough times, statistically.


    On topic:
    im not so good at maths and it's kinda tiring to follow up
    the equations, so so far what's the damage point where Riftshards takes over?
    My most popular item suggestions:

    Thanks to Desirable for the Lelouch : )

  3. #43
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    Quote Originally Posted by Mr_Manson View Post
    Why will this not happen?
    so you get a six every 6th time you roll the dice?^^
    it's the thing with statistic, it will become true with great numbers, but you cannot rely on the % with the though of "I didn't get a procc the last 10 attacks, so now it should procc!"
    for more see Wiki: Law of Large Numbers

    btw: it's different in DotA

    Quote Originally Posted by Nedrapter View Post
    im not so good at maths and it's kinda tiring to follow up
    the equations, so so far what's the damage point where Riftshards takes over?
    afaik it's this post, so it's around 96-97 dmg
    "Imagination is more important than knowledge. For knowledge is limited [...]." - Albert Einstein
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  4. #44
    The practical cutoff is between 150-250 depending on attack speed.

  5. #45
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    Very interresting thread

    I think Truestrike (100% no miss) and the fact Savage Mace can interrupt channeling spells should be mentioned too

    Riftshards have "only" the dps boost

    My Fayde Alt. Avatar suggestion "Hassassin Fayde":http://forums.heroesofnewerth.com/showthread.php?p=14811835

  6. #46
    Quote Originally Posted by oberbreit View Post
    Very interresting thread

    I think Truestrike (100% no miss) and the fact Savage Mace can interrupt channeling spells should be mentioned too

    Riftshards have "only" the dps boost
    Yea however riftshards can provide high burst damage rather than just sustained damage which can be very usefull when taking out a high priority target.

  7. #47
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    Quote Originally Posted by edxs View Post
    The practical cutoff is between 150-250 depending on attack speed.
    ^This is pretty much the range. I would use 177 damage before you purchase either as the general rule though. 177 damage assumes you have +100 attackspeed before you purchase. For example, 75 agility, +25 from steamboots. Or 45 agility and a warpcleft (+55).
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  8. #48
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    This is both informative and useful. Thanks!

    Ps. I Love you guys, I tried to keep up with the math but you lost me.

  9. #49
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    ''
    [Guide]
    The all inclusive guide

    From the author of Tip of the Week.



  10. #50
    Don't forget the fact that savage mace is way harder to farm: Every part in savage mace costs more than any part in riftshards.

  11. #51
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    Riftshards vs Savage Mace - Mathcraft

    Introduction:

    I'm tired of people postulating suggestions or ideas based on "feel", or half-ass mathematical analysis based on poor assumptions. There have been threads about Riftshards vs. Savage Mace in the past. Some people neglected speed factors. Nearly everyone failed to recognize that this game has an economy, so damage needs to be normalized by gold costs.

    I will not make ANY assumptions. My calculations below factor in attack speed as well as the gold cost of the items (even though 5500 vs 5400 is close to negligible).

    NOTE: ARMOR HAS NO EFFECT SINCE THE PROC FROM BOTH RIFTSHARDS AND SAVAGE MACE ARE BOTH PHYSICAL


    The Acronyms and Variables:

    SM = Savage Mace
    SMd = Added damage output, including all factors, that SM adds
    SMv = Value of SM = SMd / 5400
    RS = Riftshards
    RSd = Added damage output, including all factors, that RS adds
    RSv = Value of RS = RSd / 5500
    D = Damage BEFORE purchasing any of the items or components
    S = Attack speed bonus BEFORE purchasing any of the items or components
    (includes everything... so if you have 80 agility and +30 attack speed worth of items, S = 110)


    The Basics:

    SMd = 88+.35*100+{15*[(D+88)+35]}/(100+S)
    SMv = 88+.35*100+{15*[(D+88)+35]}/(100+S)/5400
    RSd = 75+(D+75)(.2)(2.4-1) = (.28D+96)
    RSv = 75+(D+75)(.2)(2.4-1)/5500 = (.28D+96)/5500


    The Method:

    [indent]To solve the problem of which is better, we have to find the trend line where the values SMv and RSv are equal to each other. Since we have only two variables (D and S), we can simply solve for S in terms of D. The result will be a plot of S vs D.

    Basically it boiled down to this:
    1) Set SMv = RSv
    2) Solve for S in terms of D


    The Results:


    All points above the curve favor Riftshards. All points below the curve favor Savage Mace.


    The Conclusion:

    As you can see from the graph, there are very few instances where Riftshards will provide more damage per gold spent. You'd have to hit for 190 at 100% increased attack speed BEFORE purchasing your item. This is a rare situation.

    Also, Savage Mace has better intangibles... it provides a channel stopping mini stun, and has better reliability and consistent output (35% procs vs 20%). Finally, Savage Mace makes it so that you NEVER MISS... attacking uphills or against a hero with evade will no longer have an effect.

    All this together means that Savage Mace generally gives more additional DPS per gold spent.


    Exceptions:

    If you have high attack speed or high base damage Riftshards is more viable. For example, if you are Soulstealer, your passive damage boost + damage from Assassins Shroud + 30% ias from steamboots = you may want to get Riftshards as your next major item instead of Savage Mace.


    Hope this was helpful! If you have questions or private comments please send me a message and I'll try to get back to you.
    Last edited by MacroHard; 10-10-2011 at 11:43 AM.

  12. #52
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    Merged with the other thread lol

    You must have missed it

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  13. #53
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    Wow you act fast! I even named my thread the same title lol. Crazy...

  14. #54
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    Quote Originally Posted by MacroHard View Post
    Wow you act fast! I even named my thread the same title lol. Crazy...
    Actually I renamed the thread to that since it looks a lot nicer

    Thanks for your contribution though .

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  15. #55
    Quote Originally Posted by MacroHard View Post
    stuff

    You seem to believe Savage Mace's 100 damage on proc bypasses damage mitigation, this is false. Armor shouldn't factor into the comparison at all.

    Damage per gold analysis is a good idea, though. I should have thought of that.
    Last edited by edxs; 05-07-2010 at 03:10 PM.

  16. #56
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    The Savage Mace's proc damage is true damage and bypasses armor and magic armor reduction. The calculation stands unless one of the code reading guru's says otherwise.

  17. #57
    Quote Originally Posted by MacroHard View Post
    The Savage Mace's proc damage is true damage and bypasses armor and magic armor reduction. The calculation stands unless one of the code reading guru's says otherwise.
    People constantly bring this up as fact, but it's been refuted countless times. It isn't true, and it hasn't ever been true. It's a separate instance of 100 Physical damage.

  18. #58
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    Quote Originally Posted by edxs View Post
    People constantly bring this up as fact, but it's been refuted countless times. It isn't true, and it hasn't ever been true. It's a separate instance of 100 Physical damage.
    The changelog and item description says otherwise. Would a moderator mind stepping in and clarifying the issue?

    If it is indeed physical there would be no added benefit against higher armors, and you may use the 0 armor trend line on my graph for comparison.

    Later tonight I will do an in game test in practice mode... level 1 Soulstealer with savage mace (~130 damage) attacking a level 25 Pebbles with 6x Frostfield plates (~100 armor) and see if I can see the 100 damage boost.

  19. #59
    http://forums.heroesofnewerth.com/sh...2&postcount=17

    Version 0.1.26
    --------------

    - Savage Axe's triggered bonus damage will no longer trigger on structures
    * Fixed a bug causing Savage Axe's triggered effects to deal True damage instead of Physical
    I was wrong saying it's never been true.

    The description doesn't say anything about True damage.

  20. #60
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    Post #17

    http://forums.heroesofnewerth.com/sh...2&postcount=17

    Darn edxs ninja'ed me . I am sad now

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