@@ Property / Symbols used @@
+Jacobi’s amplitude function
@@ Property / Symbols used: Jacobi’s amplitude function / rank @@
+Normal rank
@@ Property / Symbols used: Jacobi’s amplitude function / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\operatorname{am}\left(\NVar{x},\NVar{k}\right)}}$ 
\Jacobiamk@{\NVar{x}}{\NVar{k}}
@@ Property / Symbols used: Jacobi’s amplitude function / qualifier @@
+xml-id: C22.S16.E1.m2afdec
@@ Property / Symbols used @@
+cosine function
@@ Property / Symbols used: cosine function / rank @@
+Normal rank
@@ Property / Symbols used: cosine function / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\cos\NVar{z}}}$ 
\cos@@{\NVar{z}}
@@ Property / Symbols used: cosine function / qualifier @@
+xml-id: C4.S14.E2.m2adec
@@ Property / Symbols used @@
+sine function
@@ Property / Symbols used: sine function / rank @@
+Normal rank
@@ Property / Symbols used: sine function / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\sin\NVar{z}}}$ 
\sin@@{\NVar{z}}
@@ Property / Symbols used: sine function / qualifier @@
+xml-id: C4.S14.E1.m2adec
@@ 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.m1fdec
@@ 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.m1ddec

DLMF:22.16.E7 (Q7126): Difference between revisions

am ⁡ ( x , k ) Jacobi-elliptic-amplitude 𝑥 𝑘 {\displaystyle{\displaystyle\operatorname{am}\left(\NVar{x},\NVar{k}\right)}}

cos ⁡ z 𝑧 {\displaystyle{\displaystyle\cos\NVar{z}}}

sin ⁡ z 𝑧 {\displaystyle{\displaystyle\sin\NVar{z}}}

x 𝑥 {\displaystyle{\displaystyle x}}

k 𝑘 {\displaystyle{\displaystyle k}}

Latest revision as of 15:31, 2 January 2020

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

${\displaystyle{\displaystyle\cos\NVar{z}}}$

${\displaystyle{\displaystyle\sin\NVar{z}}}$

${\displaystyle{\displaystyle x}}$

${\displaystyle{\displaystyle k}}$