@@wouldyoureturntomonke2452 Nah bro is right, I was the same way through 3 different schools they teach the same bs that you won’t really ever apply in day to day life, just gives kids an ego stroke for being a “good cookie” lmao
@@wouldyoureturntomonke2452 Well depending on the situation, not everyone has the opportunity to "choose the right schools". Even state colleges and universities can still be expensive as fck, especially top colleges/universities. Some people have to get used to what they have. Even a school that teaches bullshit or with a bunch of idiots (as you so rightfully said) is definitely way better than not going to school at all. All the student has to do is to work and study with effort so that he/she can get the best out of education.
@@IsseiL did I even ask, that I will do it in abyss? Why do you care abyss so much? Oh hardest content in the game oh I get that but we're spending much more time in open world. Plus I already completed floor 12. That's why I wouldn't care to go in abyss... I only aim on getting more characters and tests even though if they're applicable in abyss or not 3 before there's more content to the game...
not really..just sacrifices alot of other things like attacks, energy recharge.. my klee are built for elementary reaction therefore the artifacts bonus are for elementary mastery and pyro damages and i still get around 30% crit rate..
@@ggwp931730% is easy with circlet, but the other 40% means u need 4 slot with 10% crit rate each. 10% crit rate is 2 or 3 stat upgrade in critrate. So yeah, achievable but not ez
my weapon is blackliff and thus gives crit damage and i overdid my focus on artifact crit rate that my ratio is 79%crit rate 113% crit damage even with the weapon crit damge bonus my atk is only 1.5k tho
For F2P, the main problem is crit rate, 31% from circlet, and you can't get a decent crit damage substats, i would say 50 to 70 crit damage from substats is already lucky. So, for F2P, i would say half of that, targeting atleast 50% crit rate, prioritize crit rate as much as possible. For P2W, BP crit weapon and crit damage circlet will let you be near to your "golden ratio".
@Asrah Xai only Diluc has a passive crit that grows upon ascending, aside from him, no other character.that's why Diluc is regarded as one of the strongest. Give your artifacts to other characters, then comeback here again with new stats. So, paying for Battle pass is free in your country, 😂, F2P meaning is Free to Play, P2W is Pay to Win, and Whaling is expending thousands of dollars. They are terms different just for your additional info, which one are you? Please
@Asrah Xai in free to play environment you can actually finish everything in the game with just skill, no money needed. F2P finishing abyss floor12 may also mean you're very skilled, or thrill seeker. 33% crit is well, but not good in w6 to 7, where monsters has higher hp. Mathematically, that's 1 of 3 attacks crit, while reaching 50% is obviously half. Im just stating facts, BP weapons are created to ease the game for players that can't afford whaling for 5* weapons that makes a character godlike. Marketing stragegy 101, 😂.
Bruh, i'm grateful for giving me this insight as to why i have to learn algebra, i guess finding what you can apply the lessons from school is one of the things that will motivate you.
@@timduncan9372 Same bro hahahaha. Seems like that most people that are addicted to math guides in Genshin Impact are people like us with engineering background.
I'm taking accelerated program in math but dang this not only help me build my characters in the game but also helped me with my real life goals. Very helpful video
@@leeosphant508 the problem is these people then try to play theory crafter and give legit advice about the game. If you wanna put out fun content then focus on that.
@@lonkk1 yeah i know, but they are getting attenttion because of us, as a consumer who "consume" their content. I know Its not all of us, but most of us still watch them even though they provide a "garbage" content.I myself has understand the game mechanic, Ofc idc about the numbers specifically, but because of that i know that the garbage content is garbage, but for some people who just started the game or people who doesnt understand the mechanic, they don't know.
@@leeosphant508 as long as they don't complain bout the damage is fine. Some of people on my FB timeline look like enjoying the game, but in high AR, they always complain if get kicked out because their team said he/she is too weak or can't kill the bosses. After that, they blame Mihoyo by being not generous enough, but when i saw their stat, those are completely fails. For example, I can understand if you don't get crit or critical damage because it's difficult, but, getting defense stat on main dps beside C6 Noelle / Albedo is really really questionable unless they do it for meme and being happy for that, i wouldn't get annoyed tho
found ur channel last night and i just wanna say ive been doing alot of my own research for the game and trying to min max / optimize and came to alot of the same conclusions as u. theres alot of misinformation about this game out there so keep up the good work and keep spreading the good info! also if ur interested id love to get in contact with u on discord to trade some info about the game
@@imtenten1010 ehy I've recently found your channel too, and I was actually wondering if there's a better way to factoring in EM, in order to also try and maximize DPS on swirl characters (MC, Venti, Sucrose especially since she is an EM battery). I'm actually interested in your content, I don't like how others have went from "BUILD ONLY ATK" to "BUILD ONLY EM" and then swinged to "IS EM ACTUALLY WORSE". It's the plain boring "guess before trying all options" game, done just for pushing content. I'm interested in things like AnemoMC DPS build (Swirl) but factoring EM is a pain in the ass (due to also internal CD on applying Pyro and the likes on enemies). I'm also reading left and right that there's "characters Discords", I would love to join a couple ones as they may have factored EM better, any links?
Thanks for the explanation. I understand since you put "x and y has restriction". I cant believe my C calculus is useful, lol. Anyway, we can see Mihoyo know this and many crit rate weapon are gacha by standard. Damn.
Good to know the exact values. I was always wondering how high of a crit rate would be the best, because I only knew that it's usually way too low. 70% is pretty hard to reach though.
i really love the way you explained it. let me add a few thoughts from deeper mathematical perspective: 1:2 Crit Ratio is recommended because game mechanics. but it's false. Crit Rating always goes up to 100%, Crit Dmg doesn't. Let me explain it this way: a Character with lvl 1 no gear has 5 crit rate and 50 crit dmg. so he hits every 20th hit for +0,5 dmg multi. at 25 crit rate and 50% dmg that becomes every 4th hit +0,5 dmg multi. now going up to 33% rate and 66% dmg means every third hit crits, and does 0,66 multi. but really, at every fourth hit, it's well worth to aim for the 100 Crit dmg, and then adjust the crit rate back up to get the hit rate nicer. so with 25% to 100% he'd do every fourth hit +1 multi, and then stay on that until he's got the rate either up to 50% (which is every secound hit) or up to 67+% which is every third hit and already end game max. From 67%+ you would either waste a shitload of dmg by trying to get 100% crit rate, or instead buckle up all the Crit dmg, that's been dormant so long and get the actual multi up. times x1 at 200% crit dmg becomes times +2, which is the major reason to fix crit rate first, followed by crit dmg. Crit dmg, on the other hand, at 149% (roughly considering your example), you'd do ~ x1,5 multi. so there are sweet spots to hit, but not just the general 1/2 ratio, but rather: Get the crits first, then up their dmg.
ATk % Scales to Flat Atk, which is way underestimated. 60% Atk Percent, means you get shy of 2/3 your flat atk dmg. flat atk actually often does more in the early game, then any atk% you can roll. Late game, that adjusts, simply by how high your flat atk is. as long as it's below 1k = 1000 you will get from 60% just 600 added flat atk. while that seems a lot, when instead having 1200 flat, and 40% you'd get 300 added from the % atk modifier. but in reality, that's a 100 flat shy. 1500 with more flat, 1600 with more %. However, flat is more of an random stat like EM, you pick up and ignore in many builds, whilst being the base of the calculation. - Flat atk therefore is actually crucial. hence all the flat atk from the weapon items. indeed, early game, a Crit rate, Flat atk, Flat Elemental mastery, will outperform any Crit dmg building char with equal stats fast. only at higher levels, the calculation becomes related to crit more, since flat dmg from weapon increases faster than from artifacts, but not without the flower. which again, flower and weapon should be maxxed first, before going into crit. since crit rolls on helmet, that's rather easy to do.
dps is misleading here, since damage per secound doesn'T relate with the skill animations and activation, and charging times. in reality, many in this game call burst dmg dps which it really isn't. a real dps is consitent, always. a true dps hits many times per secound, ideally, to average out all the random, whilst burst optimizes towards the random. "i could hit from 1 to 100" let's try to hit for 98 and screenshot it.^^ is literally a lot of what i see conveyed in the misconseptions around this game. your golden ratio approach has been truely refreshing from that, and i highly liked it. however, mathermatically, it's a very decent coming close to the true algorythms.
man thats awesome. its encouraging to know that there are always practical usages to math other than in a career path. maybe ill try harder in pre calc now xd.
I feel like max vol problem could have been described differently, using a method I actually learned in school: You want to try to maximize the surface of a quadrilateral. Numbers are the same as you used. If you make one side bigger, the other side gets smaller. The biggest Value will result in a square, so both sides have to be equally as long. It's basically the same thing, just thought I might add this since it helped me understand it.
Your math is correct thanks for sharing. However it was confusing the way you said to calculate attack% boots. The way it works is 700(white)+700(green)=100% bonis attack damage. The way to calculate attack % is (green damage/white damage) it is not (total damage/white damage). You can test this by putting on only one attack % artifact and watch what happens, when doing this (green/white = attack % of artifact equipped)
Finally I tested out this math and it's gold Early I have lvl 80 kequing Atk - 2050, cr.rate - 52, cr.dmg -110. Electro DMG - 61% But now Atk - 1560, cr.rate - 71, cr.dmg -140 Electro DMG - 61% I noticed I think which is huge indeed The thing is before my DMG with stellar slash was 8000 after changing that the same 8000 DMG But when I had 50% cri.rate befor the crit hit was missed sometime and did only 4000 But after having this change the crit was more consistent and 10k with charged Atk All of them were crit because of her burst (15% additional crit passive) if u could stack up some 15% more crit DMG this math would be a game changer.. Cuz the common theory was 1:2 I thought that was 50:100 but it's a minimum requirement but sacrificing some Atk for crit rate and DMG would change the results And A big thanks dude ❤️
tl'dr; Try to get your bonus atk (the green number) as close as possible to your base atk (the white number), though above it. Straying too far is a waste when you can be spending that resource elsewhere (elemental/physical damage bonus, elemental mastery, crit rate, crit dmg). Imo, if 70:140 of crit rate and crit dmg is too high for you to reach, I think being somewhere between 55-70 crit rate and 110-140 crit damage is fine. One thing that isn't talked about here in this video, and is something I learned elsewhere, is that you want your TAB (Total Attack Bonus) and your DB (Damage Bonus) to be 1:1. What is TAB? Divide your bonus atk (the green number) by your base atk (the white number). That's your TAB. The majority of your DB comes from your Goblet (physical/elemental Damage Bonus). Edit: So as an example, if your white attack number is at 600 and your green attack number is at 672, the division of bonus atk over base atk equals 1.12. In this scenario, you would want your DB (damage bonus) to be 112%.
OP literally said and even showed that the optimal atk is 212%, which is 100% white attack + 112% green attack. The 1:1 ratio you're talking about is rounded off from that.
@@lunafreed The 1:1 which I said is not white:green The 1:1 I said was TAB:DB TAB & DB is not white & green The 600 white and 600 green is just an example. If you have 600 white and 672 green, your TAB is 1.12 In that scenario, you would want your (physical/elemental) damage bonus to be 112%.
@@lunafreed Well that is the reason why damage bonus is such a valuable stat, because it is rare. That's why every DPS uses their DMG bonus on their Goblet. The only way you can have too much DMG bonus is when you neglect your Atk badly, then you can have too much DMG bonus. So it is possible, but in general we don't have an issue with Atk. So in general you want to get as much DMG bonus as you can (unless you somehow have so much more than you know what to do with). I think DMG bonus comes in more forms as well (not just elemental and physical), though sometimes it's not clear on the wording. Some examples of this are the passives on Black Sword, Jade Spear, Skyward Pride, and Geo resonance, and much more. Those increase dmg bonus.
My brain didn't want to think the entire time but then I came to understand a bit if I just visualize everything in art/design perspective for me while you talked hahaa
It has been close to 1.5 years and it is believed that Sumeru will come on the 2nd anniversary like Inazuma. Can’t wait to apply the golden ratio (φ) or the Algebra when solving puzzles for primogem (chests) 🤣
I literally relearned my Calculus lessons last year just so I can use them in Genshin Impact. It's actually the first time I practically used maximum optimization in a real situation LOL
At 6:19 you actually have 167.67% atk and not 267% atk, looking at 267% atk was a bit off cause 200% of 800 would be 1600 but its 1328. You subtract 100% because 100% would be 792 which leaves you with 167.67% atk. 167.67& of 792 gives you your bonus atk of 1328
Thanks a lot. I did some experiment using this and honestly I was surprised!. My total atk became lower but i have push the damage bonusand follow the crit ratio. PERFECT!!
"Now listen up Johnny.. As f2p we are now, we cant hope to beat the damn fatui in floor 12. For generations, my family of f2p scrubs have used the technique of the golden ratio in every gacha game in order to boost our pepeg damage. So up next is Lesson 5! Listen closely now before the enemy whale's beat us.. "
Yes, due to how multiplicative stacking work, there is an ideal ratio. It's around the middle; so you want your ATK% and Elemental/Physical % to be around the same. Despite what some people believe, you DO NOT want to go all out Elemental%. Crit is more complex but you generally want near 100% chance just to get the Crit Damage multiplier as a multiplicative source.
I see the commonly used damage calculation formula as DMG = ATK*(Crit Rate)*(1 + Crit Dmg). Now that's wrong coz you have to account for the damage you do when you don't crit. This way you don't overvalues Crit and Crit damage. The correct formula should be Expected DMG = ATK*(Crit Rate)*(1 + Crit Dmg) + ATK*(1 - Crit Rate). The second part is damage for non crits. Of course I'm ignoring elemental damage multipliers but that should to be maxed out any way. Simplifying the above equation, you get Expected DMG = ATK*[Crit Rate + (Crit Rate *Crit Dmg) - Crit Rate] = ATK * Crit Rate * Crit Dmg. The theoretical maximum for this expected value is at crit rate to crit dmg of 1:1, not 1:2. What am I missing here?
actually, this is a very good question!!! the first thing to understand is that, the formula is actually DMG = ATK*(1+(Crit Rate)*(Crit Dmg)) this is because as you have mentioned, you have to consider when you don't crit as well! however, after you have expand and simplify, you will get the above formula meaning in terms of crit stat, you only need to consider (Crit Rate)*(Crit Dmg). The theoretical maximum for this expected value is at crit rate to crit dmg of 1:1 this is actually correct as well, however, only in the theoretical world in genshin impact , artifact stat are constraint, if you take a look at your artifact, you can see that crit rate and crit dmg DO NOT get handed out in equal amount this is why max volume problem with constraint is important!
@@imtenten1010 Ah the good old constraints. You're right. The you can get 60%+ crit dmg on head artifact but only 30% crit rate. It would be hard to get them to 1:1 without sacrificing ATK% and losing out on overall damage. Thanks for the clarification. Really appreciate the work you do.
The golden ratio though does not exactly account for RNG, so I would imagine it would be more appropriate to use it for atk to crit dam ratio, if you have 100% crit rate. Now that is not exactly easily doable so we have to settle with less.
I kinda skiped through the video a bit, so i dont know if you actually talked about that, but ER is a very importand stat to have to max out dmg. For end game dmg there are 3 things you want to do: 1. Try to get as close to the golden ratio as possible 2. Max out as much %DMG bonus as possible. Points which you listed in your video and lastly 3. Get enough ER so that you can ult off cooldown.
This game is gonna be like monster hunter again, they will release new artifact to power creep, effectively making maximum attack and 100% crit rate possible.
Wait, by monster hunter did you mean the difference between generation of each series or between hunter rank? I mean, we cant call the former as power creep can't we.
This is the only video with actual Prove of how the Genshin damage system work. Not only that it actually produces a result if you really try it. If you got some basics behind some Calculus especially with Differential equations you can try it yourself out.
So... I was just going further into the "MGFischl" and got into a complex math rabbit hole of interesting videos. I guess I wasn't wrong about my teachers not teaching maths
because of this video, I saved my starglitters and got the blackcliff weapons for crit dmg, and crit rate on circlet. man I'm just so happy with the dmg output for my Diluc and Ningguang. couldn't afford the bp weapons, gotta improvise. and managed to get 65% crit rate, 178% crit dmg. this video is golden.
Mihoyo is pretty smart gating crit rate weapons behind rng and bp. All of which are not f2p friendly unless youre lucky. And in my experience even getting crit rate on artifacts is hard. But that might just be my terrible luck.
6:18 why did you divide total atk by base atk if you want to know atk %? ATK% bonuses are coming from the green value only, correct? Therefore the proper method would be green / white or in this case 1328 / 792 = 167.7% ATK%. So isn't your ATK% too low?
Your comment is from a year ago but I'll answer it anyway lol. No, his ATK is definitely too high. The thing is, he's not actually finding the value of ATK% or ATK bonuses. Instead, he's finding the value of *total ATK* (base ATK+ATK bonuses). Hence why he divided total ATK by base ATK; to express the total ATK as a percentage of the base ATK.
I'm sorry but i don't understand. In regards to Atk% you said the optimal green number would be identical to your white number. But wouldn't that be 100%? Wouldn't an extra 200% attack mean a green number double your white number?
so basically, green atk should be 1.12 times white atk and then crit rate vs dmg should be 70:140 and then ER must be 170-200 and then EM and HP for dps
To make it simpler, 5 x 5 is 25, but 4 x 6 is 24. However since different arti main stats have different level scaling, it can go something around 4.5 x 6, which is 27, higher than 5 x 5. In this case even if you do not balance out all the stats, you are able to get a higher damage since you are sacrificing a portion of 1 stat for an overpowering portion of another stat. However go to extreme and you may face something like 2 x 11, which results in 22. To explain this in game, atk% does not apply to feather atk, crit damage is gated by crit rate, lvl20 atk% artifact gives you 46.65% but physical goblet at lvl20 gives you 58.8%. Also note that the video did not include anything relating to physical or elemental goblets, meaning that whatever is show is not optimal for a elemental damage support, or a catalyst.
@@looots1320 yes attk% benefit more than EM. Some character do benefit EM more, like sucrose support. Sucrose attk% + elemental bonus deal more 'anemo' damage. But with EM, and despite sucrose deal little anemo damage, her swirl can deal more fixed swirl damage than atkk% and elemental bonus. Mean sucrose benefits on stacks of EM, since reaction don't benefit on attk% and crit. However, someone like venti deal more dmg with attk% than em, simply because his anemo damage is a lot compared to stacking EM
Damn I thought this is click bait but actually legit and I learn new things today that I can apply in game and share this video around thank you for making awesome video like this XD
This is the real applications of math that school prepared us for
Fuck school though.
@@genshinsage lol
@@wouldyoureturntomonke2452 On the contrary, I get the top grades. Most of the knowledge is useless. It is faster to learn things on my own.
@@wouldyoureturntomonke2452 Nah bro is right, I was the same way through 3 different schools they teach the same bs that you won’t really ever apply in day to day life, just gives kids an ego stroke for being a “good cookie” lmao
@@wouldyoureturntomonke2452 Well depending on the situation, not everyone has the opportunity to "choose the right schools". Even state colleges and universities can still be expensive as fck, especially top colleges/universities. Some people have to get used to what they have. Even a school that teaches bullshit or with a bunch of idiots (as you so rightfully said) is definitely way better than not going to school at all. All the student has to do is to work and study with effort so that he/she can get the best out of education.
Studying math for college: ❌
Studying math to optimize damage: ✅
You can fail both maths, but one math, math will never fail you :,) ....
Big dummies make big numbies too 💯
How about both
Two types of gamers...
1: skips school to play video games
2:
studies hard in school to apply what they learn in video games
Skips video games to play school
:)
@@eligbnsu71 i'm failing highschool rn because of this game. I should probably fix that but here i am lmfao
3: Play video games during online school since no teacher will ever know
@@mouses_HK Play while studying or doing work, makes me less stressed and preform better.
TenTen: 212% atk, 70% crit rate, 141% crit damage
Me: easy so far so good
TenTen: (brings out a picture of box)
Me: ok chill einstein
@@comebackz5279 its good but not that practical in abyss
@@comebackz5279 that's just child play, try doing that on Floor 11-12
@@IsseiL did I even ask, that I will do it in abyss? Why do you care abyss so much? Oh hardest content in the game oh I get that but we're spending much more time in open world. Plus I already completed floor 12. That's why I wouldn't care to go in abyss... I only aim on getting more characters and tests even though if they're applicable in abyss or not 3
before there's more content to the game...
@@comebackz5279 then why'd you go with that setup for world fights? You could do much better with a more simpler comp
@@IsseiL i know but I like interesting ones wheter you like it or not. For example I use healers or tanks that uses Def and HP
My addiction has come to this, watching a math video for more damage output and I'm not even struggling with the content in my world.
same
Abyss
@@kubs1162 lmao not able to clear 9th even with lvl75 characters
If only our math teacher was using this example to teach us
The damage our own characters do, no matter how high, is never enough...
Back then: Men uses evolutionary intellect to reach the stars
Now: Men uses evolutionary intellect to maximize 2 Dimensional Wives
Evolution at its finest.
Correction: Waifus!
3
I see this as an absolute win
last time i checked, the stars were just flaming space farts but these pixels can make cute poses!
I just wanna give a shout out to Euclid for coming up with golden ratio. Shout out to his family too
LMAO good comment
keep in mind though that the "golden ratio" (1.5 : 1 : 2, Atk% : Crit Rate : Crit Dmg) here is not THE golden ratio from Euclid
His name is an anagram for DilucE
Euclids golden ratio has absolutely nothing to do with this. Euclids golden ratio does not maximize results.
You're welcome!
Video explains golden ratio
Mihoyo : here's your hp% def%
Yup:(
And this is why crit rate weapons are so rare or you have to pay for them. Taking your crit rate to 70% without a crit rate weapon is very difficult
not really..just sacrifices alot of other things like attacks, energy recharge.. my klee are built for elementary reaction therefore the artifacts bonus are for elementary mastery and pyro damages and i still get around 30% crit rate..
@@ggwp9317 it's very hard unless you have amazing luck
@@ggwp931730% is easy with circlet, but the other 40% means u need 4 slot with 10% crit rate each. 10% crit rate is 2 or 3 stat upgrade in critrate. So yeah, achievable but not ez
@@ggwp9317 that's why we talking about 70% and not 30.
my weapon is blackliff and thus gives crit damage and i overdid my focus on artifact crit rate that my ratio is 79%crit rate 113% crit damage even with the weapon crit damge bonus my atk is only 1.5k tho
I like how he really highly say the word "damage" tho, and now I refuse to believe that I can't run from maths anymore.
daemej
Sooo....
Atk : Crit Rate: CDmg
3:1:2
?
Ration wise, yes
its good for ele team, but my ning better off with this unfortunately.
For F2P, the main problem is crit rate, 31% from circlet, and you can't get a decent crit damage substats, i would say 50 to 70 crit damage from substats is already lucky.
So, for F2P, i would say half of that, targeting atleast 50% crit rate, prioritize crit rate as much as possible.
For P2W, BP crit weapon and crit damage circlet will let you be near to your "golden ratio".
@Asrah Xai only Diluc has a passive crit that grows upon ascending, aside from him, no other character.that's why Diluc is regarded as one of the strongest. Give your artifacts to other characters, then comeback here again with new stats.
So, paying for Battle pass is free in your country, 😂, F2P meaning is Free to Play, P2W is Pay to Win, and Whaling is expending thousands of dollars. They are terms different just for your additional info, which one are you?
Please
@Asrah Xai in free to play environment you can actually finish everything in the game with just skill, no money needed.
F2P finishing abyss floor12 may also mean you're very skilled, or thrill seeker.
33% crit is well, but not good in w6 to 7, where monsters has higher hp. Mathematically, that's 1 of 3 attacks crit, while reaching 50% is obviously half.
Im just stating facts, BP weapons are created to ease the game for players that can't afford whaling for 5* weapons that makes a character godlike. Marketing stragegy 101, 😂.
"arigatou, gyro"
Yo, do you know diluc VA also voicing Giorno Giovann?
Finally someone in the comment that is cultured enough, i've been looking for this comment
CHIMIII
DEE FOUR CEE
Act 4
Bruh, i'm grateful for giving me this insight as to why i have to learn algebra, i guess finding what you can apply the lessons from school is one of the things that will motivate you.
and i started playing genshin to destress from optimization hw...engineering life at its finest 👌
Wolfram Alpha is friend !!!
Crazy how some of us has engineering background. I do too, but I've 'finished' my study a long time ago.
@@timduncan9372 Same bro hahahaha. Seems like that most people that are addicted to math guides in Genshin Impact are people like us with engineering background.
Yes I know redvelvet
@@MohHD16 good, now go stream Bad Boy to 300M
This video just triggered PTSD from my engineering school day.
And tommorow i have Mechanical design test. yeah...
I got a headache trying to understand this, no kidding.
Now the pressure of my engineering subject deadlines is killing me.
@@literallysugar2323 ¹
Literally skipping my online math class..... to learn about math....
But atleast my Barbara does 2k damage per normal atk, LETS GO!!!!
Task failed successfully
Meanwhile, me with my last braincell trying to understand this even though i'm just a casual player
Now my anemo mc can finally spin enemies infinitely, arigato tenten
I'm taking accelerated program in math but dang this not only help me build my characters in the game but also helped me with my real life goals. Very helpful video
Behold the true power of the spin!
I finally understand lesson five, gyro...
Sad to see these kinds of videos getting burried below the piles of garbage "content" most other genshin creators produce. Keep up the good work.
Well maybe some people just don't want to think too much about damage math or something like this and enjoying the game by their own.
@@leeosphant508 the problem is these people then try to play theory crafter and give legit advice about the game. If you wanna put out fun content then focus on that.
@@lonkk1 yeah i know, but they are getting attenttion because of us, as a consumer who "consume" their content. I know Its not all of us, but most of us still watch them even though they provide a "garbage" content.I myself has understand the game mechanic, Ofc idc about the numbers specifically, but because of that i know that the garbage content is garbage, but for some people who just started the game or people who doesnt understand the mechanic, they don't know.
@@leeosphant508 as long as they don't complain bout the damage is fine. Some of people on my FB timeline look like enjoying the game, but in high AR, they always complain if get kicked out because their team said he/she is too weak or can't kill the bosses. After that, they blame Mihoyo by being not generous enough, but when i saw their stat, those are completely fails. For example, I can understand if you don't get crit or critical damage because it's difficult, but, getting defense stat on main dps beside C6 Noelle / Albedo is really really questionable
unless they do it for meme and being happy for that, i wouldn't get annoyed tho
That is garbage, it’s a game, he could explain it without the math show off
Thanks bro, you motivate me to play genshin even more cause somehow calculating all these dmg sounds fun
I avoided my math class today only to find out my teacher is here lol.
found ur channel last night and i just wanna say ive been doing alot of my own research for the game and trying to min max / optimize and came to alot of the same conclusions as u. theres alot of misinformation about this game out there so keep up the good work and keep spreading the good info! also if ur interested id love to get in contact with u on discord to trade some info about the game
I heard keqing are crazy about math so maybe I will go check out that discord
@@imtenten1010 ehy I've recently found your channel too, and I was actually wondering if there's a better way to factoring in EM, in order to also try and maximize DPS on swirl characters (MC, Venti, Sucrose especially since she is an EM battery).
I'm actually interested in your content, I don't like how others have went from "BUILD ONLY ATK" to "BUILD ONLY EM" and then swinged to "IS EM ACTUALLY WORSE". It's the plain boring "guess before trying all options" game, done just for pushing content. I'm interested in things like AnemoMC DPS build (Swirl) but factoring EM is a pain in the ass (due to also internal CD on applying Pyro and the likes on enemies).
I'm also reading left and right that there's "characters Discords", I would love to join a couple ones as they may have factored EM better, any links?
Instructions unclear, my nails are spinning
Really liked it you pointed out the assumptions in this calculations, people should not get blinded by this ratio
Thanks for the explanation. I understand since you put "x and y has restriction".
I cant believe my C calculus is useful, lol.
Anyway, we can see Mihoyo know this and many crit rate weapon are gacha by standard. Damn.
Or the BP weapons
The entire world is filled with rectangles. Maximising the golden ratios, this is called the GOLDEN SPIN!
Finally someone really explained what should I search to maximize dps, thx light being
4:00 "...and thus is left as an exercise to the reader" xDDD we've come full circle
Good to know the exact values. I was always wondering how high of a crit rate would be the best, because I only knew that it's usually way too low. 70% is pretty hard to reach though.
i really love the way you explained it. let me add a few thoughts from deeper mathematical perspective: 1:2 Crit Ratio is recommended because game mechanics. but it's false. Crit Rating always goes up to 100%, Crit Dmg doesn't. Let me explain it this way: a Character with lvl 1 no gear has 5 crit rate and 50 crit dmg. so he hits every 20th hit for +0,5 dmg multi. at 25 crit rate and 50% dmg that becomes every 4th hit +0,5 dmg multi. now going up to 33% rate and 66% dmg means every third hit crits, and does 0,66 multi. but really, at every fourth hit, it's well worth to aim for the 100 Crit dmg, and then adjust the crit rate back up to get the hit rate nicer. so with 25% to 100% he'd do every fourth hit +1 multi, and then stay on that until he's got the rate either up to 50% (which is every secound hit) or up to 67+% which is every third hit and already end game max. From 67%+ you would either waste a shitload of dmg by trying to get 100% crit rate, or instead buckle up all the Crit dmg, that's been dormant so long and get the actual multi up. times x1 at 200% crit dmg becomes times +2, which is the major reason to fix crit rate first, followed by crit dmg. Crit dmg, on the other hand, at 149% (roughly considering your example), you'd do ~ x1,5 multi. so there are sweet spots to hit, but not just the general 1/2 ratio, but rather: Get the crits first, then up their dmg.
ATk % Scales to Flat Atk, which is way underestimated. 60% Atk Percent, means you get shy of 2/3 your flat atk dmg. flat atk actually often does more in the early game, then any atk% you can roll. Late game, that adjusts, simply by how high your flat atk is. as long as it's below 1k = 1000 you will get from 60% just 600 added flat atk. while that seems a lot, when instead having 1200 flat, and 40% you'd get 300 added from the % atk modifier. but in reality, that's a 100 flat shy. 1500 with more flat, 1600 with more %. However, flat is more of an random stat like EM, you pick up and ignore in many builds, whilst being the base of the calculation. - Flat atk therefore is actually crucial. hence all the flat atk from the weapon items. indeed, early game, a Crit rate, Flat atk, Flat Elemental mastery, will outperform any Crit dmg building char with equal stats fast. only at higher levels, the calculation becomes related to crit more, since flat dmg from weapon increases faster than from artifacts, but not without the flower. which again, flower and weapon should be maxxed first, before going into crit. since crit rolls on helmet, that's rather easy to do.
dps is misleading here, since damage per secound doesn'T relate with the skill animations and activation, and charging times. in reality, many in this game call burst dmg dps which it really isn't. a real dps is consitent, always. a true dps hits many times per secound, ideally, to average out all the random, whilst burst optimizes towards the random. "i could hit from 1 to 100" let's try to hit for 98 and screenshot it.^^ is literally a lot of what i see conveyed in the misconseptions around this game. your golden ratio approach has been truely refreshing from that, and i highly liked it. however, mathermatically, it's a very decent coming close to the true algorythms.
As an engineer, I've been using this approach in maximizing my characters damage to almost every RPG/MMORPG games I've played.
man thats awesome. its encouraging to know that there are always practical usages to math other than in a career path. maybe ill try harder in pre calc now xd.
How to calculate if how much overall my attack% is?
Wow this is great! Thank you for putting in the time and effort to help us to understand this
Damn appreciate the vid mate, it helps to have a good (even if not completely reliable) start for damage calculation!!!
I feel like max vol problem could have been described differently, using a method I actually learned in school:
You want to try to maximize the surface of a quadrilateral. Numbers are the same as you used.
If you make one side bigger, the other side gets smaller. The biggest Value will result in a square, so both sides have to be equally as long.
It's basically the same thing, just thought I might add this since it helped me understand it.
Thank you
It helped me understand 🎅
*Imagine skipping math class to play genshin and u wonder why the DPS is damn low*
Your math is correct thanks for sharing. However it was confusing the way you said to calculate attack% boots. The way it works is 700(white)+700(green)=100% bonis attack damage. The way to calculate attack % is (green damage/white damage) it is not (total damage/white damage). You can test this by putting on only one attack % artifact and watch what happens, when doing this (green/white = attack % of artifact equipped)
Finally I tested out this math and it's gold
Early I have lvl 80 kequing Atk - 2050, cr.rate - 52, cr.dmg -110. Electro DMG - 61%
But now Atk - 1560, cr.rate - 71, cr.dmg -140 Electro DMG - 61%
I noticed I think which is huge indeed
The thing is before my DMG with stellar slash was 8000
after changing that the same 8000 DMG
But when I had 50% cri.rate befor the crit hit was missed sometime and did only 4000
But after having this change the crit was more consistent and 10k with charged Atk
All of them were crit because of her burst (15% additional crit passive) if u could stack up some 15% more crit DMG this math would be a game changer..
Cuz the common theory was 1:2 I thought that was 50:100 but it's a minimum requirement but sacrificing some Atk for crit rate and DMG would change the results
And A big thanks dude ❤️
me a jjba fan sees golden ratio: click
tl'dr; Try to get your bonus atk (the green number) as close as possible to your base atk (the white number), though above it.
Straying too far is a waste when you can be spending that resource elsewhere (elemental/physical damage bonus, elemental mastery, crit rate, crit dmg).
Imo, if 70:140 of crit rate and crit dmg is too high for you to reach, I think being somewhere between 55-70 crit rate and 110-140 crit damage is fine.
One thing that isn't talked about here in this video, and is something I learned elsewhere, is that you want your TAB (Total Attack Bonus) and your DB (Damage Bonus) to be 1:1. What is TAB? Divide your bonus atk (the green number) by your base atk (the white number). That's your TAB. The majority of your DB comes from your Goblet (physical/elemental Damage Bonus).
Edit: So as an example, if your white attack number is at 600 and your green attack number is at 672, the division of bonus atk over base atk equals 1.12. In this scenario, you would want your DB (damage bonus) to be 112%.
OP literally said and even showed that the optimal atk is 212%, which is 100% white attack + 112% green attack. The 1:1 ratio you're talking about is rounded off from that.
@@lunafreed
The 1:1 which I said is not white:green
The 1:1 I said was TAB:DB
TAB & DB is not white & green
The 600 white and 600 green is just an example.
If you have 600 white and 672 green, your TAB is 1.12
In that scenario, you would want your (physical/elemental) damage bonus to be 112%.
ohh, my bad then, thanks for clearing that up
Wait... but +100% elemental damage in unachievable unless you're using Mona
@@lunafreed Well that is the reason why damage bonus is such a valuable stat, because it is rare. That's why every DPS uses their DMG bonus on their Goblet. The only way you can have too much DMG bonus is when you neglect your Atk badly, then you can have too much DMG bonus. So it is possible, but in general we don't have an issue with Atk.
So in general you want to get as much DMG bonus as you can (unless you somehow have so much more than you know what to do with). I think DMG bonus comes in more forms as well (not just elemental and physical), though sometimes it's not clear on the wording. Some examples of this are the passives on Black Sword, Jade Spear, Skyward Pride, and Geo resonance, and much more. Those increase dmg bonus.
Seeing u use math the way we were taught to (long time ago for me) took me back! Very commendable brother, keep it up!
Great content that's easy to follow and understand. No clickbait, no fluff etc. Keep it up!
thanks dude, u deserve more subs
My brain didn't want to think the entire time but then I came to understand a bit if I just visualize everything in art/design perspective for me while you talked hahaa
I never thought my calculus homework would come back to haunt me in genshin of all places
It has been close to 1.5 years and it is believed that Sumeru will come on the 2nd anniversary like Inazuma. Can’t wait to apply the golden ratio (φ) or the Algebra when solving puzzles for primogem (chests) 🤣
I literally relearned my Calculus lessons last year just so I can use them in Genshin Impact. It's actually the first time I practically used maximum optimization in a real situation LOL
I absolutely love what you are doing and can't wait to see other videos you have. Thank you for the detailed explanation 👍😊😀
Stumble on your video when looking for some guides and dude this is some dedication you got.. nice video, definitely watch new videos from you..
lesson 5 sometimes our shortest path is a roundabout jesse😔👊
At 6:19 you actually have 167.67% atk and not 267% atk, looking at 267% atk was a bit off cause 200% of 800 would be 1600 but its 1328. You subtract 100% because 100% would be 792 which leaves you with 167.67% atk. 167.67& of 792 gives you your bonus atk of 1328
Well yeah, 167% of 792 does give the value of the bonus ATK, but he was talking about the *total* ATK which is indeed 267%
Thanks a lot. I did some experiment using this and honestly I was surprised!. My total atk became lower but i have push the damage bonusand follow the crit ratio. PERFECT!!
Everyone: ah maths I am good at this
Me: oh this is a JoJo reference
Golden spin energy.....
GORUDEN KAITEN NO ENURGI !!!!
Next video: how to utilize Jesus's corpse parts to maximize your damage output
@@vrmpyr alter title: How to befriend jesus by killing the president of the united state
"Now listen up Johnny.. As f2p we are now, we cant hope to beat the damn fatui in floor 12. For generations, my family of f2p scrubs have used the technique of the golden ratio in every gacha game in order to boost our pepeg damage. So up next is Lesson 5! Listen closely now before the enemy whale's beat us.. "
Part 7 lol
Didnt think that id be watching a maths lecture again and for genshin of all things
Finally all the calculus I learned being put to use
Yes, due to how multiplicative stacking work, there is an ideal ratio. It's around the middle; so you want your ATK% and Elemental/Physical % to be around the same. Despite what some people believe, you DO NOT want to go all out Elemental%.
Crit is more complex but you generally want near 100% chance just to get the Crit Damage multiplier as a multiplicative source.
I see the commonly used damage calculation formula as
DMG = ATK*(Crit Rate)*(1 + Crit Dmg).
Now that's wrong coz you have to account for the damage you do when you don't crit. This way you don't overvalues Crit and Crit damage. The correct formula should be
Expected DMG = ATK*(Crit Rate)*(1 + Crit Dmg) + ATK*(1 - Crit Rate). The second part is damage for non crits.
Of course I'm ignoring elemental damage multipliers but that should to be maxed out any way. Simplifying the above equation, you get
Expected DMG = ATK*[Crit Rate + (Crit Rate *Crit Dmg) - Crit Rate] = ATK * Crit Rate * Crit Dmg.
The theoretical maximum for this expected value is at crit rate to crit dmg of 1:1, not 1:2. What am I missing here?
actually, this is a very good question!!!
the first thing to understand is that, the formula is actually DMG = ATK*(1+(Crit Rate)*(Crit Dmg))
this is because as you have mentioned, you have to consider when you don't crit as well!
however, after you have expand and simplify, you will get the above formula
meaning in terms of crit stat, you only need to consider (Crit Rate)*(Crit Dmg).
The theoretical maximum for this expected value is at crit rate to crit dmg of 1:1
this is actually correct as well, however, only in the theoretical world
in genshin impact , artifact stat are constraint, if you take a look at your artifact, you can see that crit rate and crit dmg
DO NOT get handed out in equal amount
this is why max volume problem with constraint is important!
@@imtenten1010 Ah the good old constraints. You're right. The you can get 60%+ crit dmg on head artifact but only 30% crit rate. It would be hard to get them to 1:1 without sacrificing ATK% and losing out on overall damage. Thanks for the clarification. Really appreciate the work you do.
Triggers me when everyone say crit rate:dmg = 1:2 but doesn’t explain, great job dude
I didn't expect a math lecture in a genshin video
The golden ratio though does not exactly account for RNG, so I would imagine it would be more appropriate to use it for atk to crit dam ratio, if you have 100% crit rate. Now that is not exactly easily doable so we have to settle with less.
Well made video with good math behind it
You earned a sub
The only thing I can say right now?
Arigatou, Gyro
absolutely amazing and very informative video. keep it up my guy
I just found your channel and let me tell you, thanks alot for this information. I hope you keep posting stuff like this :)
I kinda skiped through the video a bit, so i dont know if you actually talked about that, but ER is a very importand stat to have to max out dmg. For end game dmg there are 3 things you want to do:
1. Try to get as close to the golden ratio as possible
2. Max out as much %DMG bonus as possible. Points which you listed in your video and lastly
3. Get enough ER so that you can ult off cooldown.
Jhonny is proud of you
This game is gonna be like monster hunter again, they will release new artifact to power creep, effectively making maximum attack and 100% crit rate possible.
I dont think they will do that. Power creep kills games and mihoyo is trying to get away from power creep.
Mihoyo already already did the power creep on Honkai Impact 3.
Wait, by monster hunter did you mean the difference between generation of each series or between hunter rank?
I mean, we cant call the former as power creep can't we.
@@nofanfelani6924 did you play MHW? When Behemoth armor first introduced, everyone is using that armor if they want to maximise their dps
This hurt my brain. I failed math in school. And I’m Asian. Smh.
This might be a stepping stone for those who do researches about whats better atk% or elemental dmg% artifact
Thank you for the great work!
Well... we already have it figured out. Whoever is interested may ask me.
I take math as my major subject and i thought I'll chill and learn some things about artifacts and then I see this 😭maths follows me everywhere 😭
This is the only video with actual Prove of how the Genshin damage system work. Not only that it actually produces a result if you really try it. If you got some basics behind some Calculus especially with Differential equations you can try it yourself out.
Oh good stuff. I love math in games because it shows so much more than simply do "X" because it works.
I love the explanation and the accent of "b-i-g"
Hey man I just found your channel and this content is amazing! Subbed for sure!
*Johnny Joestar likes this*
Golden rectangle
Thanks for the details dude... Appreciated 👍
So... I was just going further into the "MGFischl" and got into a complex math rabbit hole of interesting videos.
I guess I wasn't wrong about my teachers not teaching maths
because of this video, I saved my starglitters and got the blackcliff weapons for crit dmg, and crit rate on circlet. man I'm just so happy with the dmg output for my Diluc and Ningguang. couldn't afford the bp weapons, gotta improvise. and managed to get 65% crit rate, 178% crit dmg. this video is golden.
Thanks! It's a really good reference... For my calculus homework
Mihoyo is pretty smart gating crit rate weapons behind rng and bp. All of which are not f2p friendly unless youre lucky.
And in my experience even getting crit rate on artifacts is hard. But that might just be my terrible luck.
Great video. Very informative!
6:18 why did you divide total atk by base atk if you want to know atk %? ATK% bonuses are coming from the green value only, correct? Therefore the proper method would be green / white or in this case 1328 / 792 = 167.7% ATK%. So isn't your ATK% too low?
Your comment is from a year ago but I'll answer it anyway lol.
No, his ATK is definitely too high. The thing is, he's not actually finding the value of ATK% or ATK bonuses. Instead, he's finding the value of *total ATK* (base ATK+ATK bonuses). Hence why he divided total ATK by base ATK; to express the total ATK as a percentage of the base ATK.
Dude, that was one of the most well explained videos ever. Thank u
I'm sorry but i don't understand. In regards to Atk% you said the optimal green number would be identical to your white number. But wouldn't that be 100%? Wouldn't an extra 200% attack mean a green number double your white number?
so basically, green atk should be 1.12 times white atk and then crit rate vs dmg should be 70:140
and then ER must be 170-200 and then EM and HP for dps
This is *GOLD*
With foods, you can maximize your crit damage and leave your crit rate at 50.7%
Love the channel. Very well made!
Parents: wtf are you doing On your computer?
Me: studying for math test
2:07
then go for -1000 for x and -1000 for y. doesn't violate any of the constraints and will give you 1 million power.
Ummmm
To make it simpler, 5 x 5 is 25, but 4 x 6 is 24. However since different arti main stats have different level scaling, it can go something around 4.5 x 6, which is 27, higher than 5 x 5. In this case even if you do not balance out all the stats, you are able to get a higher damage since you are sacrificing a portion of 1 stat for an overpowering portion of another stat. However go to extreme and you may face something like 2 x 11, which results in 22.
To explain this in game, atk% does not apply to feather atk, crit damage is gated by crit rate, lvl20 atk% artifact gives you 46.65% but physical goblet at lvl20 gives you 58.8%.
Also note that the video did not include anything relating to physical or elemental goblets, meaning that whatever is show is not optimal for a elemental damage support, or a catalyst.
why is 2x11 = 21? in my calculations it equals 22
what about for supports? how do we factor in elemental mastery?
Elemental mastery on melt/vaporise are pretty much non essential. Elemental mastery on overloaded or swirl are fixed damage.
@@tamahome321 so golden ratio is more important for melt/vaporise dps and elemental mastery on supports?
@@tamahome321 overload and Elem mastery is fixed meaning, ATK % still better then?
@@looots1320 yes attk% benefit more than EM. Some character do benefit EM more, like sucrose support. Sucrose attk% + elemental bonus deal more 'anemo' damage. But with EM, and despite sucrose deal little anemo damage, her swirl can deal more fixed swirl damage than atkk% and elemental bonus. Mean sucrose benefits on stacks of EM, since reaction don't benefit on attk% and crit.
However, someone like venti deal more dmg with attk% than em, simply because his anemo damage is a lot compared to stacking EM
@@mek_otter is venti anemo damage better than sucrose anemo damage?
Commenting so more people can see this because I've been looking for a video like this for ages and RUclips just keeps giving me the clickbait videos
Theres a catch to Step 2.
The Artifact RNG
What if you add 16 crit rate and 30 crit dmg free from the abyss??
wow! I just happened to learn about the f(x) stuff a few days ago and thought it wasn’t that useful. Boy was I wrong
Quick Mafths!!! Thanks very informative.
Damn I thought this is click bait but actually legit and I learn new things today that I can apply in game and share this video around thank you for making awesome video like this XD