DLMF:4.23.E25 (Q1777): Difference between revisions

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Language	Label	Description	Also known as
English	DLMF:4.23.E25	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\operatorname{arccos}x=\pi\mp i\ln\left((x^{2}-1)^% {1/2}-x\right),}}

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DLMF:4.23.E25

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{\displaystyle{\displaystyle x\in(-\infty,-1]}}

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the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2ahdec

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Defining formula

{\displaystyle{\displaystyle\in}}

introduction.Sx4.p1.t1.r10.m2afdec

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Defining formula

{\displaystyle{\displaystyle\mathrm{i}}}

C1.S9.E1.m2ajdec

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Defining formula

{\displaystyle{\displaystyle\operatorname{arccos}\NVar{z}}}

C4.S23.SS2.p1.m6agdec

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principal branch of logarithm function

Defining formula

{\displaystyle{\displaystyle\ln\NVar{z}}}

C4.S2.E2.m2afdec

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Defining formula

{\displaystyle{\displaystyle(\NVar{a},\NVar{b}]}}

introduction.Sx4.p2.t1.r1.m3aadec

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Defining formula

{\displaystyle{\displaystyle x}}

C4.S1.XMD6.m1cdec

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