DLMF:15.13.E1 (Q5175)

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Language	Label	Description	Also known as
English	DLMF:15.13.E1	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle N(a,b,c)=\begin{cases}0,&a>0,\\ \left\lfloor-a\right\rfloor+\tfrac{1}{2}(1+S),&a<0,c-a>0,\\ \left\lfloor-a\right\rfloor+\tfrac{1}{2}(1+S)+\left\lfloor a-c+1\right\rfloor S% ,&a<0,c-a<0,\\ \end{cases}}}

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DLMF:15.13.E1

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Defining formula

{\displaystyle{\displaystyle\left\lfloor\NVar{x}\right\rfloor}}

introduction.Sx4.p1.t1.r17.m4adec

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Defining formula

{\displaystyle{\displaystyle a}}

C15.S1.XMD4.m1dec

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Defining formula

{\displaystyle{\displaystyle b}}

C15.S1.XMD5.m1dec

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Defining formula

{\displaystyle{\displaystyle c}}

C15.S1.XMD6.m1dec

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Defining formula

{\displaystyle{\displaystyle N(a,b,c)}}

C15.S13.XMD1.m1dec

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