@@ Property / constraint @@
+ ${\displaystyle{\displaystyle-1/k^{\prime}\leq x\leq 1/k^{\prime}}}$ 
-1/k^{\prime}\leq x\leq 1/k^{\prime}
+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.m1aedec
@@ 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.m3aedec
@@ Property / Symbols used @@
+Q12012
@@ Property / Symbols used: Q12012 / rank @@
+Normal rank
@@ Property / Symbols used: Q12012 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\operatorname{arcsd}\left(\NVar{x},\NVar{k}\right)}}$ 
\aJacobiellsdk@{\NVar{x}}{\NVar{k}}
@@ Property / Symbols used: Q12012 / qualifier @@
+xml-id: C22.S15.SS1.p1.m4adec
@@ Property / Symbols used @@
+Q12003
@@ Property / Symbols used: Q12003 / rank @@
+Normal rank
@@ Property / Symbols used: Q12003 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle x}}$ 
x
@@ Property / Symbols used: Q12003 / qualifier @@
+xml-id: C22.S1.XMD1.m1odec
@@ Property / Symbols used @@
+Q11984
@@ Property / Symbols used: Q11984 / rank @@
+Normal rank
@@ Property / Symbols used: Q11984 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle k}}$ 
k
@@ Property / Symbols used: Q11984 / qualifier @@
+xml-id: C22.S1.XMD4.m1odec
@@ Property / Symbols used @@
+Q11988
@@ Property / Symbols used: Q11988 / rank @@
+Normal rank
@@ Property / Symbols used: Q11988 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle k^{\prime}}}$ 
k^{\prime}
@@ Property / Symbols used: Q11988 / qualifier @@
+xml-id: C22.S1.XMD5.m1cdec

DLMF:22.15.E16 (Q7111): Difference between revisions

- 1 / k ′ ≤ x ≤ 1 / k ′ 1 superscript 𝑘 ′ 𝑥 1 superscript 𝑘 ′ {\displaystyle{\displaystyle-1/k^{\prime}\leq x\leq 1/k^{\prime}}}

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

∫ {\displaystyle{\displaystyle\int}}

arcsd ⁡ ( x , k ) inverse-Jacobi-elliptic-sd 𝑥 𝑘 {\displaystyle{\displaystyle\operatorname{arcsd}\left(\NVar{x},\NVar{k}\right)}}

x 𝑥 {\displaystyle{\displaystyle x}}

k 𝑘 {\displaystyle{\displaystyle k}}

k ′ superscript 𝑘 ′ {\displaystyle{\displaystyle k^{\prime}}}

Latest revision as of 15:29, 2 January 2020

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${\displaystyle{\displaystyle-1/k^{\prime}\leq x\leq 1/k^{\prime}}}$

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

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

${\displaystyle{\displaystyle\operatorname{arcsd}\left(\NVar{x},\NVar{k}\right)}}$

${\displaystyle{\displaystyle x}}$

${\displaystyle{\displaystyle k}}$

${\displaystyle{\displaystyle k^{\prime}}}$