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coefficients examples
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kolosovpetro committed Jun 23, 2023
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4 changes: 2 additions & 2 deletions src/sections/coefficients_derivation.tex
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Expand Up @@ -161,8 +161,8 @@
+ \coeffA{3}{2} \binom{2}{1} \frac{(-1)^{2-1}}{2} \bernoulli{4}
+ \coeffA{3}{3} \binom{3}{1} \frac{(-1)^{3-1}}{3} \bernoulli{6} \\
& = \coeffA{3}{1} \bernoulli{2} - 2 \coeffA{3}{2} \frac{1}{2} \bernoulli{4}
+ 3 \coeffA{3}{3} \frac{1}{3} \bernoulli{6}
= \frac{1}{6} \coeffA{3}{1}
+ 3 \coeffA{3}{3} \frac{1}{3} \bernoulli{6} \\
&= \frac{1}{6} \coeffA{3}{1}
+ \coeffA{3}{2} \frac{1}{30}
+ \coeffA{3}{3} \frac{1}{42} \\
& = \frac{-14}{6} + \frac{140}{42} = 1
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