Difference between revisions of "Haversine"

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The haversine function $\mathrm{haversin} \colon \mathbb{C} \rightarrow \mathbb{C}$ is defined by
 
The haversine function $\mathrm{haversin} \colon \mathbb{C} \rightarrow \mathbb{C}$ is defined by
$$\mathrm{haversin}(z)=\dfrac{\mathrm{versin}(z)}{2},$$
+
$$\mathrm{haversin}(z)=\dfrac{1-\cos(z)}{2},$$
where $\mathrm{versin}$ denotes the [[versine]].
+
where $\cos$ denotes [[cosine]].
  
 
=Properties=
 
=Properties=
  
 
=References=
 
=References=
* {{BookReference|Handbook of mathematical functions|1964|Milton Abramowitz|author2=Irene A. Stegun|prev=Coversine|next=Exsecant}}: 4.3.147
+
* {{BookReference|Handbook of mathematical functions|1964|Milton Abramowitz|author2=Irene A. Stegun|prev=Coversine|next=Exsecant}}: $4.3.147$
  
 
[[Category:SpecialFunction]] [[Category:Definition]]
 
[[Category:SpecialFunction]] [[Category:Definition]]

Latest revision as of 03:45, 28 March 2017

The haversine function $\mathrm{haversin} \colon \mathbb{C} \rightarrow \mathbb{C}$ is defined by $$\mathrm{haversin}(z)=\dfrac{1-\cos(z)}{2},$$ where $\cos$ denotes cosine.

Properties

References