@@ Property / constraint @@
+ ${\displaystyle{\displaystyle\cos\phi=\dfrac{\sqrt{3}-1+x}{\sqrt{3}+1-x}}}$ 
\cos@@{\phi}=\dfrac{\sqrt{3}-1+x}{\sqrt{3}+1-x}
+Normal rank
@@ Property / constraint @@
+ ${\displaystyle{\displaystyle\cos\phi=\dfrac{\sqrt{3}-1+x}{\sqrt{3}+1-x}}}$ 
\cos\phi=\dfrac{\sqrt{3}-1+x}{\sqrt{3}+1-x}
+Normal rank
@@ Property / constraint @@
+ ${\displaystyle{\displaystyle k^{2}=\dfrac{2+\sqrt{3}}{4}}}$ 
k^{2}=\dfrac{2+\sqrt{3}}{4}
+Normal rank
@@ 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.m2aadec
@@ 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.m1aadec
@@ Property / Symbols used @@
+Legendre’s incomplete elliptic integral of the first kind
+Normal rank
+Defining formula:  ${\displaystyle{\displaystyle F\left(\NVar{\phi},\NVar{k}\right)}}$ 
\incellintFk@{\NVar{\phi}}{\NVar{k}}
+xml-id: C19.S2.E4.m2aadec
@@ 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.m3aadec
@@ Property / Symbols used @@
+Q11807
@@ Property / Symbols used: Q11807 / rank @@
+Normal rank
@@ Property / Symbols used: Q11807 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\phi}}$ 
\phi
@@ Property / Symbols used: Q11807 / qualifier @@
+xml-id: C19.S1.XMD4.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.m1adec

DLMF:19.14.E2 (Q6307): Difference between revisions

cos ⁡ ϕ = 3 - 1 + x 3 + 1 - x italic-ϕ 3 1 𝑥 3 1 𝑥 {\displaystyle{\displaystyle\cos\phi=\dfrac{\sqrt{3}-1+x}{\sqrt{3}+1-x}}}

cos ⁡ ϕ = 3 - 1 + x 3 + 1 - x italic-ϕ 3 1 𝑥 3 1 𝑥 {\displaystyle{\displaystyle\cos\phi=\dfrac{\sqrt{3}-1+x}{\sqrt{3}+1-x}}}

k 2 = 2 + 3 4 superscript 𝑘 2 2 3 4 {\displaystyle{\displaystyle k^{2}=\dfrac{2+\sqrt{3}}{4}}}

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

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

F ⁡ ( ϕ , k ) elliptic-integral-first-kind-F italic-ϕ 𝑘 {\displaystyle{\displaystyle F\left(\NVar{\phi},\NVar{k}\right)}}

∫ {\displaystyle{\displaystyle\int}}

ϕ italic-ϕ {\displaystyle{\displaystyle\phi}}

k 𝑘 {\displaystyle{\displaystyle k}}

Latest revision as of 13:50, 2 January 2020

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${\displaystyle{\displaystyle\cos\phi=\dfrac{\sqrt{3}-1+x}{\sqrt{3}+1-x}}}$

${\displaystyle{\displaystyle\cos\phi=\dfrac{\sqrt{3}-1+x}{\sqrt{3}+1-x}}}$

${\displaystyle{\displaystyle k^{2}=\dfrac{2+\sqrt{3}}{4}}}$

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

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

${\displaystyle{\displaystyle F\left(\NVar{\phi},\NVar{k}\right)}}$

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

${\displaystyle{\displaystyle\phi}}$

${\displaystyle{\displaystyle k}}$