@@ Property / Symbols used @@
+Q12217
@@ Property / Symbols used: Q12217 / rank @@
+Normal rank
@@ Property / Symbols used: Q12217 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\genfrac{<}{>}{0.0pt}{}{\NVar{n}}{\NVar{k}}}}$ 
\Euleriannumber{\NVar{n}}{\NVar{k}}
@@ Property / Symbols used: Q12217 / qualifier @@
+xml-id: C26.S14.SS1.p3.m2addec
@@ Property / Symbols used @@
+Q12131
@@ Property / Symbols used: Q12131 / rank @@
+Normal rank
@@ Property / Symbols used: Q12131 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle S\left(\NVar{n},\NVar{k}\right)}}$ 
\StirlingnumberS@{\NVar{n}}{\NVar{k}}
@@ Property / Symbols used: Q12131 / qualifier @@
+xml-id: C26.S8.SS1.p3.m2adec
@@ Property / Symbols used @@
+Q10754
@@ Property / Symbols used: Q10754 / rank @@
+Normal rank
@@ Property / Symbols used: Q10754 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\genfrac{(}{)}{0.0pt}{}{\NVar{m}}{\NVar{n}}}}$ 
\binom{\NVar{m}}{\NVar{n}}
@@ Property / Symbols used: Q10754 / qualifier @@
+xml-id: C1.S2.SS1.m1abdec
@@ Property / Symbols used @@
+Q10755
@@ Property / Symbols used: Q10755 / rank @@
+Normal rank
@@ Property / Symbols used: Q10755 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle!}}$ 
!
@@ Property / Symbols used: Q10755 / qualifier @@
+xml-id: introduction.Sx4.p1.t1.r15.m5aadec
@@ Property / Symbols used @@
+Q12176
@@ Property / Symbols used: Q12176 / rank @@
+Normal rank
@@ Property / Symbols used: Q12176 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle j}}$ 
j
@@ Property / Symbols used: Q12176 / qualifier @@
+xml-id: C26.S1.XMD3.m1ddec
@@ Property / Symbols used @@
+Q12174
@@ Property / Symbols used: Q12174 / rank @@
+Normal rank
@@ Property / Symbols used: Q12174 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle k}}$ 
k
@@ Property / Symbols used: Q12174 / qualifier @@
+xml-id: C26.S1.XMD4.m1edec
@@ Property / Symbols used @@
+Q12172
@@ Property / Symbols used: Q12172 / rank @@
+Normal rank
@@ Property / Symbols used: Q12172 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle n}}$ 
n
@@ Property / Symbols used: Q12172 / qualifier @@
+xml-id: C26.S1.XMD6.m1gdec

DLMF:26.14.E7 (Q7958): Difference between revisions

⟨ n k ⟩ Eulerian-number 𝑛 𝑘 {\displaystyle{\displaystyle\genfrac{<}{>}{0.0pt}{}{\NVar{n}}{\NVar{k}}}}

S ⁡ ( n , k ) Stirling-number-second-kind-S 𝑛 𝑘 {\displaystyle{\displaystyle S\left(\NVar{n},\NVar{k}\right)}}

( m n ) binomial 𝑚 𝑛 {\displaystyle{\displaystyle\genfrac{(}{)}{0.0pt}{}{\NVar{m}}{\NVar{n}}}}

! {\displaystyle{\displaystyle!}}

j 𝑗 {\displaystyle{\displaystyle j}}

k 𝑘 {\displaystyle{\displaystyle k}}

n 𝑛 {\displaystyle{\displaystyle n}}

Latest revision as of 14:08, 2 January 2020

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${\displaystyle{\displaystyle\genfrac{<}{>}{0.0pt}{}{\NVar{n}}{\NVar{k}}}}$

${\displaystyle{\displaystyle S\left(\NVar{n},\NVar{k}\right)}}$

${\displaystyle{\displaystyle\genfrac{(}{)}{0.0pt}{}{\NVar{m}}{\NVar{n}}}}$

${\displaystyle{\displaystyle!}}$

${\displaystyle{\displaystyle j}}$

${\displaystyle{\displaystyle k}}$

${\displaystyle{\displaystyle n}}$