Mathematics

This page is about the mathematical phenomena in the No game, no life series.

Principial Logical Games
 * Rock-paper scissor (EP2)
 * Magical Chess (EP3)
 * Player Moral influences chess pieces.
 * Possible to make a revolt, against converting.
 * Blackjack (EP5)
 * Materialisation Shiritori (EP6)
 * Lost
 * Use a word that's already been used.
 * Fail to answer within 30 seconds.
 * Object referring to the answer will disappear.
 * If object not present, it will appear.

Explanation

 * C52 denotes combinatorics, meaning the number of countable possibilities in which the 52 cards exist. It is multiplied by C5 as 5 cards are drawn.

Episode 1 Analysed card game calculations
Math Rules card game formula:


 * n = unknown value.


 * , = is based on the Asian System, so 1 million in English 1.000.000 is = Asian system 1,000,000


 * // is comment


 * [V] = or


 * >>> = See next line
 * 2.1, 2.2, 2.3 etc. each group numbers indicate a statement + Proof (why statement isn't correct)

Original calculations:


 * 1) $$ C_{52}C_{5} = \frac{52 \times 51 \times 50 \times 49 \times 48}{5 \times 4 \times 3 \times 2 \times 1} = 2,598,960 $$
 * 2) $$ \frac{4 \times 9}{2,58,960} = \frac{9}{649,740} = 0,00001385 = {1.38 \times} 10^{-3}$$
 * 3) $$ 0.001385% $$

Analysed calculations:

1. $$ C_{52}C_{5} = \frac{52 \times 51 \times 50 \times 49 \times 48}{5 \times 4 \times 3 \times 2 \times 1} = 2,598,960 $$ 2. $$ \frac{4 \times 9}{2,58,960} = \frac{9}{649,740} = 0,00001385 = {1.38 \times} 10^{-3}$$ 2.1: $$ \frac{4 \times 9}{2,58,960} \neq \frac{9}{649,740} $$ // Next line Explaining Mathematical Calculation Mathematical rule Operator of 4 (fraction)
 * // Correct, but remember it use a comma so it's pronounced as 2.5 million and not 2 millionth, 5 five hundred thousandths etc. (it is like 1 tenth)
 * // Not correct >>>

$$ \frac{\frac{4 \times 9}{4}} \frac{2,58,960}{4} = \frac{9}{\mathbf{64,740}} $$ // Proof 1: fraction 4 not equal to answer

2.2: $$ \frac{4 \times 9 }{649,740 \times 4} \neq \frac{4 \times 9}{2,58,960} $$ // Next line Explaining Mathematical Calculation Mathematical rule Operator of 4 (times)

$$ \frac{4 \times 9 }{649,740 \times 4} = 25,\mathbf{9}8,960 $$ // Proof 2: times 4 not equal answer

Conclusion: 1. if we use the fraction method (2.1) we missing a number 9 2. if we use the times method on the answer (2.2) we are missing a number 9 3. So we now know what the secret acceleration calculation of Shiro is: >>> The differences: 1. 649740 - 64740 = +585000 (So 585000 + 64740 = 649740 ) 2. 2598960 - 258960 = +2340000 (So 2340000 + 258960 = 2598960)

End Game (Love shooter: love or loved 2)