English Dictionary

Catalan's constant

name

(mathematics) The number G=𝛽(2)=∑ₙ₌₀ ᪲((-1)ⁿ)/((2n+1)²)=1/(1²)-1/(3²)+1/(5²)-1/(7²)+1/(9²)-⋯, where β is the Dirichlet beta function, with a value of approximately 0.915965594177…

Catalan's constant is a mathematical constant that is equal to the sum of the alternating series G=𝛽(2)=∑ₙ₌₀ ᪲((-1)ⁿ).

意味（1）

(mathematics) The number G=𝛽(2)=∑ₙ₌₀ ᪲((-1)ⁿ)/((2n+1)²)=1/(1²)-1/(3²)+1/(5²)-1/(7²)+1/(9²)-⋯, where β is the Dirichlet beta function, with a value of approximately 0.915965594177…