DLMF:4.45.E15 (Q2024): Difference between revisions

@@ Property / constraint @@
+ ${\displaystyle{\displaystyle-\pi\leq\operatorname{ph}z\leq\pi}}$ 
-\pi\leq\phase@@{z}\leq\pi
+Normal rank
@@ Property / Symbols used @@
+the ratio of the circumference of a circle to its diameter
+Normal rank
+test:  ${\displaystyle{\displaystyle\pi}}$ 
\cpi
+xml-id: C3.S12.E1.m2abdec
@@ Property / Symbols used @@
+imaginary unit
@@ Property / Symbols used: imaginary unit / rank @@
+Normal rank
@@ Property / Symbols used: imaginary unit / qualifier @@
+test:  ${\displaystyle{\displaystyle\mathrm{i}}}$ 
\iunit
@@ Property / Symbols used: imaginary unit / qualifier @@
+xml-id: C1.S9.E1.m2adec
@@ Property / Symbols used @@
+principal branch of logarithm function
@@ Property / Symbols used: principal branch of logarithm function / rank @@
+Normal rank
@@ Property / Symbols used: principal branch of logarithm function / qualifier @@
+test:  ${\displaystyle{\displaystyle\ln\NVar{z}}}$ 
\ln@@{\NVar{z}}
@@ Property / Symbols used: principal branch of logarithm function / qualifier @@
+xml-id: C4.S2.E2.m2acdec
@@ Property / Symbols used @@
+Q10817
@@ Property / Symbols used: Q10817 / rank @@
+Normal rank
@@ Property / Symbols used: Q10817 / qualifier @@
+test:  ${\displaystyle{\displaystyle\operatorname{ph}}}$ 
\phase
@@ Property / Symbols used: Q10817 / qualifier @@
+xml-id: C1.S9.E7.m1adec
@@ Property / Symbols used @@
+Q11217
@@ Property / Symbols used: Q11217 / rank @@
+Normal rank
@@ Property / Symbols used: Q11217 / qualifier @@
+test:  ${\displaystyle{\displaystyle z}}$ 
z
@@ Property / Symbols used: Q11217 / qualifier @@
+xml-id: C4.S1.XMD8.m1dec

DLMF:4.45.E15 (Q2024): Difference between revisions

${\displaystyle{\displaystyle-\pi\leq\operatorname{ph}z\leq\pi}}$

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

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

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

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

${\displaystyle{\displaystyle z}}$

Latest revision as of 18:27, 1 January 2020

Statements

Sitelinks

Wikipedia(0 entries)

Navigation menu

DLMF:4.45.E15 (Q2024): Difference between revisions

- π ≤ ph ⁡ z ≤ π 𝜋 phase 𝑧 𝜋 {\displaystyle{\displaystyle-\pi\leq\operatorname{ph}z\leq\pi}}

π {\displaystyle{\displaystyle\pi}}

i imaginary-unit {\displaystyle{\displaystyle\mathrm{i}}}

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

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

z 𝑧 {\displaystyle{\displaystyle z}}

Latest revision as of 18:27, 1 January 2020

Statements

Sitelinks

Wikipedia(0 entries)

Navigation menu

Search

${\displaystyle{\displaystyle-\pi\leq\operatorname{ph}z\leq\pi}}$

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

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

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

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

${\displaystyle{\displaystyle z}}$