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Some people still say Itachi can spam his MS more than Kakashi.
And so I am here, to prove these people wrong.
Before you read it, be aware that there is some basic maths besides descriptive arguments to prove my point. If you don't like it for some reason, or think that using math for analysis of manga is overthinking stuff and stupid in general, don't read it. But if you don't read it, don't reply to it.
The analysis is divided into three parts.
How many and what techniques can Kakashi perform on his current chakra reserves?
Yeah, that's great, but what does it tell us about Kamui's chakra consumption?
Holy shit, I finally know how much chakra Kamui consumes, yay!! ...or do I?
All in all, even though it's not possible to calculate exact chakra consumption, I think this analysis is the closest thing possible to give us general outlook on the matter. Hope you enjoyed it.
And so I am here, to prove these people wrong.
Before you read it, be aware that there is some basic maths besides descriptive arguments to prove my point. If you don't like it for some reason, or think that using math for analysis of manga is overthinking stuff and stupid in general, don't read it. But if you don't read it, don't reply to it.
The analysis is divided into three parts.
How many and what techniques can Kakashi perform on his current chakra reserves?
First of all, let's count techniques used by Kakashi during this war.
-1st Raikiri
-2nd Raikiri
-3rd Raikiri
-4th Raikiri
-Kage Bunshin
-5th Raikiri
-6th Raikiri
Now things start to get intense...
-1st Kamui
-7th Raikiri
-2nd Kamui
-3rd Kamui
Then, Kakashi states he can use Kamui a few more times. A few means at least 3.
-4th Kamui
Now his remaining chakra is enough for at least 2 kamuis.
-1st Raikiri
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Now things start to get intense...
-1st Kamui
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Then, Kakashi states he can use Kamui a few more times. A few means at least 3.
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-4th Kamui
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Now his remaining chakra is enough for at least 2 kamuis.
Yeah, that's great, but what does it tell us about Kamui's chakra consumption?
Time to move on to second part of the post, or should I say, stop counting and start the fricking analysis. U_U
We know that summing the chakra required for all these techniques, we get should, in theory, get 100%. I will explain later why it might be slightly different, though.
Anyway, let's take "r" for amount of chakra needed for Raikiri and "k" for amount of chakra needed for Kamui. We don't take into account the amount of chakra needed for Kage Bunshin, because we know the formula:
chakra is divided evenly among the clones and the user. In this case, chakra used for Kage Bunshin, calculated in per cent, will be (100-4r) divided by 2.
It's not just 100/2 because Kakashi already used 4 raikiris before that.
Now, let's write down the equation, then.
7r +(100-4r)/2 + 6k = 100
7r + 50 - 2r + 6k = 100
5r + 6k = 50
10r + 12k = 100
As we can see, even though it's at the moment impossible to calculate chakra consumed by Kakashi's Kamui, we can clearly see that starting at full stamina Kakashi can use 12 kamuis with ease and still have chakra for 10 raikiris!
That's clearly more than Itachi could during his fight against Sasuke.
Now, we can modify the equation to get even better info on Kamui's chakra consumption:
6k = 50 - 5r
k = 8.3 - 0.83r
This shows that Kamui requires less than 8.3% of Kakashi's current chakra reserves.
We know that summing the chakra required for all these techniques, we get should, in theory, get 100%. I will explain later why it might be slightly different, though.
Anyway, let's take "r" for amount of chakra needed for Raikiri and "k" for amount of chakra needed for Kamui. We don't take into account the amount of chakra needed for Kage Bunshin, because we know the formula:
chakra is divided evenly among the clones and the user. In this case, chakra used for Kage Bunshin, calculated in per cent, will be (100-4r) divided by 2.
It's not just 100/2 because Kakashi already used 4 raikiris before that.
Now, let's write down the equation, then.
7r +(100-4r)/2 + 6k = 100
7r + 50 - 2r + 6k = 100
5r + 6k = 50
10r + 12k = 100
As we can see, even though it's at the moment impossible to calculate chakra consumed by Kakashi's Kamui, we can clearly see that starting at full stamina Kakashi can use 12 kamuis with ease and still have chakra for 10 raikiris!
That's clearly more than Itachi could during his fight against Sasuke.
Now, we can modify the equation to get even better info on Kamui's chakra consumption:
6k = 50 - 5r
k = 8.3 - 0.83r
This shows that Kamui requires less than 8.3% of Kakashi's current chakra reserves.
Holy shit, I finally know how much chakra Kamui consumes, yay!! ...or do I?
The last thing to do is explain why this is not absolutely true and saint.
-The same goes for his fight against Obito and Gedo Mazo. Manga didn't show part of this fight, and when it returned to it, Kakashi was seen in the middle of using Raikiri on Gedo Mazo.
-"A few kamuis" at minimum is 3, but it might be for example 4 or even 5.
-In the analysis, Kamui's chakra consumption was assumed to be the same for every Kamui. This is wrong, but that was the only way to make any analysis at all. Even though Kakashi used small Kamuis and a big one (Gedo Mazo) which probably balances out a little, we cannot tell whether normal Kamui (that is, human sized) isn't less chakra-consuming than calculated.
-Kakashi has been fighting for a long time now. While on one hand this shows us how good his stamina is, on the other hand, there is a possibility that some of his chakra regenerated during this long period. We have no idea whether this is possible when one uses chakra up without any longer breaks, though.
-Kakashi might have his chakra restored between battles or by Kyuubi's chakra cloak. There is zero indication to this, however.
What may indicate that Kamui consumes even less chakra:
-We have not seen most of Kakashi's fight vs the swordsmen. It's very likely that he used some techniques during it, which is further evidenced by the fact that Kakashi is using a Raikiri on the first panel on which manga returns to his fight.-The same goes for his fight against Obito and Gedo Mazo. Manga didn't show part of this fight, and when it returned to it, Kakashi was seen in the middle of using Raikiri on Gedo Mazo.
-"A few kamuis" at minimum is 3, but it might be for example 4 or even 5.
-In the analysis, Kamui's chakra consumption was assumed to be the same for every Kamui. This is wrong, but that was the only way to make any analysis at all. Even though Kakashi used small Kamuis and a big one (Gedo Mazo) which probably balances out a little, we cannot tell whether normal Kamui (that is, human sized) isn't less chakra-consuming than calculated.
What may indicate that Kamui consumes more chakra:
-In fact, it's the same reason as the last posted for "less" arguments. Kamui's chakra consumption varies and therefore, normal Kamui might consume more than calculated.-Kakashi has been fighting for a long time now. While on one hand this shows us how good his stamina is, on the other hand, there is a possibility that some of his chakra regenerated during this long period. We have no idea whether this is possible when one uses chakra up without any longer breaks, though.
-Kakashi might have his chakra restored between battles or by Kyuubi's chakra cloak. There is zero indication to this, however.
All in all, even though it's not possible to calculate exact chakra consumption, I think this analysis is the closest thing possible to give us general outlook on the matter. Hope you enjoyed it.
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