@@ Property / Symbols defined @@
+hyperbolic umbilic canonical integral function
+Normal rank
@@ Property / Symbols defined @@
+umbilic canonical integral function
@@ Property / Symbols defined: umbilic canonical integral function / rank @@
+Normal rank
@@ Property / constraint @@
+ ${\displaystyle{\displaystyle\mathrm{U}=\mathrm{E},\mathrm{H}}}$ 
\mathrm{U}=\mathrm{E},\mathrm{H}
+Normal rank
@@ 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.m1aadec
@@ Property / Symbols used @@
+exponential function
@@ Property / Symbols used: exponential function / rank @@
+Normal rank
@@ Property / Symbols used: exponential function / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\exp\NVar{z}}}$ 
\exp@@{\NVar{z}}
@@ Property / Symbols used: exponential function / qualifier @@
+xml-id: C4.S2.E19.m2aadec
@@ 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.m3aadec
@@ Property / Symbols used @@
+Q12749
@@ Property / Symbols used: Q12749 / rank @@
+Normal rank
@@ Property / Symbols used: Q12749 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\Phi^{(\mathrm{U})}\left(\NVar{s},\NVar{t};\NVar{% \mathbf{x}}\right)}}$ 
\umbcatastrophe@{\NVar{s}}{\NVar{t}}{\NVar{\mathbf{x}}}
@@ Property / Symbols used: Q12749 / qualifier @@
+xml-id: C36.S2.Px2.m2adec
@@ Property / Symbols used @@
+Q12742
@@ Property / Symbols used: Q12742 / rank @@
+Normal rank
@@ Property / Symbols used: Q12742 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle t}}$ 
t
@@ Property / Symbols used: Q12742 / qualifier @@
+xml-id: C36.S1.XMD5.m1ddec
@@ Property / Symbols used @@
+Q12747
@@ Property / Symbols used: Q12747 / rank @@
+Normal rank
@@ Property / Symbols used: Q12747 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle s}}$ 
s
@@ Property / Symbols used: Q12747 / qualifier @@
+xml-id: C36.S1.XMD6.m1bdec

DLMF:36.2.E5 (Q9840): Difference between revisions

U = E , H U E H {\displaystyle{\displaystyle\mathrm{U}=\mathrm{E},\mathrm{H}}}

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

exp ⁡ z 𝑧 {\displaystyle{\displaystyle\exp\NVar{z}}}

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

∫ {\displaystyle{\displaystyle\int}}

Φ ( U ) ⁡ ( s , t ; 𝐱 ) umbilic-catastrophe 𝑠 𝑡 𝐱 {\displaystyle{\displaystyle\Phi^{(\mathrm{U})}\left(\NVar{s},\NVar{t};\NVar{% \mathbf{x}}\right)}}

t 𝑡 {\displaystyle{\displaystyle t}}

s 𝑠 {\displaystyle{\displaystyle s}}

Latest revision as of 15:03, 2 January 2020

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${\displaystyle{\displaystyle\mathrm{U}=\mathrm{E},\mathrm{H}}}$

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

${\displaystyle{\displaystyle\exp\NVar{z}}}$

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

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

${\displaystyle{\displaystyle\Phi^{(\mathrm{U})}\left(\NVar{s},\NVar{t};\NVar{% \mathbf{x}}\right)}}$

${\displaystyle{\displaystyle t}}$

${\displaystyle{\displaystyle s}}$