@@ Property / constraint @@
+ ${\displaystyle{\displaystyle\Re(a+b)>1}}$ 
\realpart@@{(a+b)}>1
@@ Property / constraint: ${\displaystyle{\displaystyle\Re(a+b)>1}}$ / rank @@
+Normal rank
@@ Property / constraint @@
+ ${\displaystyle{\displaystyle\Re w>0}}$ 
\realpart@@{w}>0
@@ Property / constraint: ${\displaystyle{\displaystyle\Re w>0}}$ / rank @@
+Normal rank
@@ Property / constraint @@
+ ${\displaystyle{\displaystyle\Re z>0}}$ 
\realpart@@{z}>0
@@ Property / constraint: ${\displaystyle{\displaystyle\Re z>0}}$ / rank @@
+Normal rank
@@ Property / Symbols used @@
+beta function
@@ Property / Symbols used: beta function / rank @@
+Normal rank
@@ Property / Symbols used: beta function / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\mathrm{B}\left(\NVar{a},\NVar{b}\right)}}$ 
\EulerBeta@{\NVar{a}}{\NVar{b}}
@@ Property / Symbols used: beta function / qualifier @@
+xml-id: C5.S12.E1.m2agdec
@@ 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.m2addec
@@ 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.m1agdec
@@ Property / Symbols used @@
+imaginary unit
@@ Property / Symbols used: imaginary unit / rank @@
+Normal rank
@@ Property / Symbols used: imaginary unit / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\mathrm{i}}}$ 
\iunit
@@ Property / Symbols used: imaginary unit / qualifier @@
+xml-id: C1.S9.E1.m2aadec
@@ Property / Symbols used @@
+Q10771
@@ Property / Symbols used: Q10771 / rank @@
+Normal rank
@@ Property / Symbols used: Q10771 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\int}}$ 
\int
@@ Property / Symbols used: Q10771 / qualifier @@
+xml-id: C1.S4.SS4.m3agdec
@@ Property / Symbols used @@
+Q10811
@@ Property / Symbols used: Q10811 / rank @@
+Normal rank
@@ Property / Symbols used: Q10811 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\Re}}$ 
\realpart@@
@@ Property / Symbols used: Q10811 / qualifier @@
+xml-id: C1.S9.E2.m1acdec
@@ Property / Symbols used @@
+Q11290
@@ Property / Symbols used: Q11290 / rank @@
+Normal rank
@@ Property / Symbols used: Q11290 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle w}}$ 
w
@@ Property / Symbols used: Q11290 / qualifier @@
+xml-id: C5.S1.XMD12.m1dec
@@ Property / Symbols used @@
+Q11273
@@ Property / Symbols used: Q11273 / rank @@
+Normal rank
@@ Property / Symbols used: Q11273 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle z}}$ 
z
@@ Property / Symbols used: Q11273 / qualifier @@
+xml-id: C5.S1.XMD7.m1adec
@@ Property / Symbols used @@
+Q11275
@@ Property / Symbols used: Q11275 / rank @@
+Normal rank
@@ Property / Symbols used: Q11275 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle a}}$ 
a
@@ Property / Symbols used: Q11275 / qualifier @@
+xml-id: C5.S1.XMD8.m1gdec
@@ Property / Symbols used @@
+Q11283
@@ Property / Symbols used: Q11283 / rank @@
+Normal rank
@@ Property / Symbols used: Q11283 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle b}}$ 
b
@@ Property / Symbols used: Q11283 / qualifier @@
+xml-id: C5.S1.XMD9.m1gdec

DLMF:5.12.E8 (Q2153): Difference between revisions

ℜ ⁡ ( a + b ) > 1 𝑎 𝑏 1 {\displaystyle{\displaystyle\Re(a+b)>1}}

ℜ ⁡ w > 0 𝑤 0 {\displaystyle{\displaystyle\Re w>0}}

ℜ ⁡ z > 0 𝑧 0 {\displaystyle{\displaystyle\Re z>0}}

B ⁡ ( a , b ) Euler-Beta 𝑎 𝑏 {\displaystyle{\displaystyle\mathrm{B}\left(\NVar{a},\NVar{b}\right)}}

π {\displaystyle{\displaystyle\pi}}

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

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

∫ {\displaystyle{\displaystyle\int}}

ℜ ⁡ absent {\displaystyle{\displaystyle\Re}}

w 𝑤 {\displaystyle{\displaystyle w}}

z 𝑧 {\displaystyle{\displaystyle z}}

a 𝑎 {\displaystyle{\displaystyle a}}

b 𝑏 {\displaystyle{\displaystyle b}}

Latest revision as of 19:45, 1 January 2020

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${\displaystyle{\displaystyle\Re(a+b)>1}}$

${\displaystyle{\displaystyle\Re w>0}}$

${\displaystyle{\displaystyle\Re z>0}}$

${\displaystyle{\displaystyle\mathrm{B}\left(\NVar{a},\NVar{b}\right)}}$

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

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

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

${\displaystyle{\displaystyle\int}}$

${\displaystyle{\displaystyle\Re}}$

${\displaystyle{\displaystyle w}}$

${\displaystyle{\displaystyle z}}$

${\displaystyle{\displaystyle a}}$

${\displaystyle{\displaystyle b}}$