DLMF:19.32.E2 (Q6692): Difference between revisions

@@ Property / constraint @@
+ ${\displaystyle{\displaystyle\Im p>0}}$ 
\Im p>0
@@ Property / constraint: ${\displaystyle{\displaystyle\Im p>0}}$ / rank @@
+Normal rank
@@ Property / constraint @@
+ ${\displaystyle{\displaystyle 0<\operatorname{ph}\left(p-x_{j}\right)<\pi}}$ 
0<\operatorname{ph}\left(p-x_{j}\right)<\pi
+Normal rank
@@ Property / constraint @@
+ ${\displaystyle{\displaystyle j=1,2,3}}$ 
j=1,2,3
@@ Property / constraint: ${\displaystyle{\displaystyle j=1,2,3}}$ / rank @@
+Normal rank
@@ Property / Symbols used @@
+the ratio of the circumference of a circle to its diameter
+Normal rank
+Defining formula:  ${\displaystyle{\displaystyle\pi}}$ 
\cpi
+xml-id: C3.S12.E1.m2adec
@@ Property / Symbols used @@
+Q10770
@@ Property / Symbols used: Q10770 / rank @@
+Normal rank
@@ Property / Symbols used: Q10770 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}$ 
\diff{\NVar{x}}
@@ Property / Symbols used: Q10770 / qualifier @@
+xml-id: C1.S4.SS4.m1adec
@@ Property / Symbols used @@
+Q10901
@@ Property / Symbols used: Q10901 / rank @@
+Normal rank
@@ Property / Symbols used: Q10901 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\Im}}$ 
\imagpart@@
@@ Property / Symbols used: Q10901 / qualifier @@
+xml-id: C1.S9.E2.m2adec
@@ Property / Symbols used @@
+Q10817
@@ Property / Symbols used: Q10817 / rank @@
+Normal rank
@@ Property / Symbols used: Q10817 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\operatorname{ph}}}$ 
\phase
@@ Property / Symbols used: Q10817 / qualifier @@
+xml-id: C1.S9.E7.m1adec
@@ Property / Symbols used @@
+Q11923
@@ Property / Symbols used: Q11923 / rank @@
+Normal rank
@@ Property / Symbols used: Q11923 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle z(p)}}$ 
z(p)
@@ Property / Symbols used: Q11923 / qualifier @@
+xml-id: C19.S32.XMD1.m1adec

DLMF:19.32.E2 (Q6692): Difference between revisions

${\displaystyle{\displaystyle\Im p>0}}$

${\displaystyle{\displaystyle 0<\operatorname{ph}\left(p-x_{j}\right)<\pi}}$

${\displaystyle{\displaystyle j=1,2,3}}$

${\displaystyle{\displaystyle\pi}}$

${\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}$

${\displaystyle{\displaystyle\Im}}$

${\displaystyle{\displaystyle\operatorname{ph}}}$

${\displaystyle{\displaystyle z(p)}}$

Latest revision as of 14:24, 2 January 2020

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DLMF:19.32.E2 (Q6692): Difference between revisions

ℑ ⁡ p > 0 𝑝 0 {\displaystyle{\displaystyle\Im p>0}}

0 < ph ⁡ ( p - x j ) < π 0 ph 𝑝 subscript 𝑥 𝑗 𝜋 {\displaystyle{\displaystyle 0<\operatorname{ph}\left(p-x_{j}\right)<\pi}}

j = 1 , 2 , 3 𝑗 1 2 3 {\displaystyle{\displaystyle j=1,2,3}}

π {\displaystyle{\displaystyle\pi}}

d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}

ℑ ⁡ absent {\displaystyle{\displaystyle\Im}}

ph phase {\displaystyle{\displaystyle\operatorname{ph}}}

z ⁢ ( p ) 𝑧 𝑝 {\displaystyle{\displaystyle z(p)}}

Latest revision as of 14:24, 2 January 2020

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${\displaystyle{\displaystyle\Im p>0}}$

${\displaystyle{\displaystyle 0<\operatorname{ph}\left(p-x_{j}\right)<\pi}}$

${\displaystyle{\displaystyle j=1,2,3}}$

${\displaystyle{\displaystyle\pi}}$

${\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}$

${\displaystyle{\displaystyle\Im}}$

${\displaystyle{\displaystyle\operatorname{ph}}}$

${\displaystyle{\displaystyle z(p)}}$