@@ Property / Symbols used @@
+cuspoid catastrophe of codimension $$K$$
@@ Property / Symbols used: cuspoid catastrophe of codimension $$K$$ / rank @@
+Normal rank
@@ Property / Symbols used: cuspoid catastrophe of codimension $$K$$ / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\Phi_{\NVar{K}}\left(\NVar{t};\NVar{\mathbf{x}}% \right)}}$ 
\cuspcatastrophe{\NVar{K}}@{\NVar{t}}{\NVar{\mathbf{x}}}
@@ Property / Symbols used: cuspoid catastrophe of codimension $$K$$ / qualifier @@
+xml-id: C36.S2.E1.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.m1dec
@@ Property / Symbols used @@
+Q12743
@@ Property / Symbols used: Q12743 / rank @@
+Normal rank
@@ Property / Symbols used: Q12743 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle K}}$ 
K
@@ Property / Symbols used: Q12743 / qualifier @@
+xml-id: C36.S1.XMD7.m1adec
@@ Property / Symbols used @@
+Q12760
@@ Property / Symbols used: Q12760 / rank @@
+Normal rank
@@ Property / Symbols used: Q12760 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle f(u,\mathbf{y})}}$ 
f(u,\mathbf{y})
@@ Property / Symbols used: Q12760 / qualifier @@
+xml-id: C36.S12.XMD3.m1bdec
@@ Property / Symbols used @@
+function (locally)
@@ Property / Symbols used: function (locally) / rank @@
+Normal rank
@@ Property / Symbols used: function (locally) / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle A(\mathbf{y})}}$ 
A(\mathbf{y})
@@ Property / Symbols used: function (locally) / qualifier @@
+xml-id: C36.S12.XMD7.m1adec

DLMF:36.12.E4 (Q9995): Difference between revisions

Φ K ⁡ ( t ; 𝐱 ) cuspoid-catastrophe 𝐾 𝑡 𝐱 {\displaystyle{\displaystyle\Phi_{\NVar{K}}\left(\NVar{t};\NVar{\mathbf{x}}% \right)}}

t 𝑡 {\displaystyle{\displaystyle t}}

K 𝐾 {\displaystyle{\displaystyle K}}

f ⁢ ( u , 𝐲 ) 𝑓 𝑢 𝐲 {\displaystyle{\displaystyle f(u,\mathbf{y})}}

A ⁢ ( 𝐲 ) 𝐴 𝐲 {\displaystyle{\displaystyle A(\mathbf{y})}}

Latest revision as of 15:19, 2 January 2020

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${\displaystyle{\displaystyle\Phi_{\NVar{K}}\left(\NVar{t};\NVar{\mathbf{x}}% \right)}}$

${\displaystyle{\displaystyle t}}$

${\displaystyle{\displaystyle K}}$

${\displaystyle{\displaystyle f(u,\mathbf{y})}}$

${\displaystyle{\displaystyle A(\mathbf{y})}}$