DLMF:19.8.E5 (Q6211): Difference between revisions

@@ Property / constraint @@
+ ${\displaystyle{\displaystyle-\infty<k^{2}<1}}$ 
-\infty<k^{2}<1
@@ Property / constraint: ${\displaystyle{\displaystyle-\infty<k^{2}<1}}$ / rank @@
+Normal rank
@@ Property / Symbols used @@
+Q11826
@@ Property / Symbols used: Q11826 / rank @@
+Normal rank
@@ Property / Symbols used: Q11826 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle M\left(\NVar{a},\NVar{g}\right)}}$ 
\AGM@{\NVar{a}}{\NVar{g}}
@@ Property / Symbols used: Q11826 / qualifier @@
+xml-id: C19.S8.SS1.p1.m7aadec
@@ 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.m2aadec
@@ Property / Symbols used @@
+Q11600
@@ Property / Symbols used: Q11600 / rank @@
+Normal rank
@@ Property / Symbols used: Q11600 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle K\left(\NVar{k}\right)}}$ 
\compellintKk@{\NVar{k}}
@@ Property / Symbols used: Q11600 / qualifier @@
+xml-id: C19.S2.E8.m1adec
@@ Property / Symbols used @@
+Q11808
@@ Property / Symbols used: Q11808 / rank @@
+Normal rank
@@ Property / Symbols used: Q11808 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle k}}$ 
k
@@ Property / Symbols used: Q11808 / qualifier @@
+xml-id: C19.S1.XMD5.m1dec
@@ Property / Symbols used @@
+Q11815
@@ Property / Symbols used: Q11815 / rank @@
+Normal rank
@@ Property / Symbols used: Q11815 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle k^{\prime}}}$ 
k^{\prime}
@@ Property / Symbols used: Q11815 / qualifier @@
+xml-id: C19.S1.XMD6.m1dec

DLMF:19.8.E5 (Q6211): Difference between revisions

${\displaystyle{\displaystyle-\infty<k^{2}<1}}$

${\displaystyle{\displaystyle M\left(\NVar{a},\NVar{g}\right)}}$

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

${\displaystyle{\displaystyle K\left(\NVar{k}\right)}}$

${\displaystyle{\displaystyle k}}$

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

Latest revision as of 13:42, 2 January 2020

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DLMF:19.8.E5 (Q6211): Difference between revisions

- ∞ < k 2 < 1 superscript 𝑘 2 1 {\displaystyle{\displaystyle-\infty<k^{2}<1}}

M ⁡ ( a , g ) arithmetic-geometric-mean 𝑎 𝑔 {\displaystyle{\displaystyle M\left(\NVar{a},\NVar{g}\right)}}

π {\displaystyle{\displaystyle\pi}}

K ⁡ ( k ) complete-elliptic-integral-first-kind-K 𝑘 {\displaystyle{\displaystyle K\left(\NVar{k}\right)}}

k 𝑘 {\displaystyle{\displaystyle k}}

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

Latest revision as of 13:42, 2 January 2020

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${\displaystyle{\displaystyle-\infty<k^{2}<1}}$

${\displaystyle{\displaystyle M\left(\NVar{a},\NVar{g}\right)}}$

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

${\displaystyle{\displaystyle K\left(\NVar{k}\right)}}$

${\displaystyle{\displaystyle k}}$

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