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Diff for /OpenXM/src/R/r-packages/hgm/man/hgm.so3nc.Rd between version 1.3 and 1.7

version 1.3, 2013/03/08 07:32:28 version 1.7, 2019/11/16 11:03:44
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 % $OpenXM: OpenXM/src/R/r-packages/hgm/man/hgm.so3nc.Rd,v 1.2 2013/02/08 01:27:01 takayama Exp $  % $OpenXM: OpenXM/src/R/r-packages/hgm/man/hgm.so3nc.Rd,v 1.6 2015/03/27 02:36:30 takayama Exp $
 \name{hgm.so3nc}  \name{hgm.ncso3}
 \alias{hgm.so3nc}  \alias{hgm.ncso3}
 %- Also NEED an '\alias' for EACH other topic documented here.  %- Also NEED an '\alias' for EACH other topic documented here.
 \title{  \title{
     The function hgm.so3nc evaluates the normalization constant for the Fisher      The function hgm.ncso3 evaluates the normalization constant for the Fisher
   distribution on SO(3).    distribution on SO(3).
 }  }
 \description{  \description{
     The function hgm.so3nc evaluates the normalization constant for the Fisher      The function hgm.ncso3 evaluates the normalization constant for the Fisher
   distribution on SO(3).    distribution on SO(3).
 }  }
 \usage{  \usage{
 hgm.so3nc(a,b,c,t0=0.0,q=1,deg=0)  hgm.ncso3(a,b,c,t0=0.0,q=1,deg=0,log=0)
 }  }
 %- maybe also 'usage' for other objects documented here.  %- maybe also 'usage' for other objects documented here.
 \arguments{  \arguments{
   \item{a}{}    \item{a}{See the description of c.}
   \item{b}{}    \item{b}{See the description of c.}
   \item{c}{    \item{c}{
      This function evaluates the normalization constant for the parameter       This function evaluates the normalization constant for the parameter
      Theta=diag(theta_{ii}) of the Fisher distribution on SO(3).       Theta=diag(theta_{ii}) of the Fisher distribution on SO(3).
Line 35  hgm.so3nc(a,b,c,t0=0.0,q=1,deg=0)
Line 35  hgm.so3nc(a,b,c,t0=0.0,q=1,deg=0)
      of the normalization constant near the origin.       of the normalization constant near the origin.
      If it is 0, a default value is used.       If it is 0, a default value is used.
   }    }
     \item{log}{
        If it is 1, then the function returns the log of the normalizing constant.
     }
 }  }
 \details{  \details{
   The normalization constant c(Theta)    The normalization constant c(Theta)
Line 48  hgm.so3nc(a,b,c,t0=0.0,q=1,deg=0)
Line 51  hgm.so3nc(a,b,c,t0=0.0,q=1,deg=0)
 %  \code{\link[RCurl]{postForm}}.  %  \code{\link[RCurl]{postForm}}.
 }  }
 \value{  \value{
 The output is c(Theta).  The output is an array of c(Theta) and its derivatives with respect to Theta_{11},Theta_{22},Theta_{33}. It is the vector C of the reference below. When log=1, the output is an array of log of them.
 }  }
 \references{  \references{
 Tomonari Sei, Hiroki Shibata, Akimichi Takemura, Katsuyoshi Ohara, Nobuki Takayama,  Tomonari Sei, Hiroki Shibata, Akimichi Takemura, Katsuyoshi Ohara, Nobuki Takayama,
 Properties and applications of Fisher distribution on the rotation group,  Properties and applications of Fisher distribution on the rotation group,
 \url{http://arxiv.org/abs/1110.0721},  Journal of Multivariate Analysis, 116 (2013), 440--455,
 to appear in Journal of Multivariate Analysis.  \url{http://dx.doi.org/10.1016/j.jmva.2013.01.010}
 }  }
 \author{  \author{
 Nobuki Takayama  Nobuki Takayama
 }  }
 \note{  %\note{
 %%  ~~further notes~~  %%%  ~~further notes~~
 }  %}
   
 %% ~Make other sections like Warning with \section{Warning }{....} ~  %% ~Make other sections like Warning with \section{Warning }{....} ~
   
 \seealso{  %\seealso{
 %%\code{\link{oxm.matrix_r2tfb}}  %%%\code{\link{oxm.matrix_r2tfb}}
 }  %}
 \examples{  \examples{
 ## =====================================================  ## =====================================================
 ## Example 1. Computing normalization constant of the Fisher distribution on SO(3)  ## Example 1. Computing normalization constant of the Fisher distribution on SO(3)
 ## =====================================================  ## =====================================================
 hgm.so3nc(1,2,3)  hgm.ncso3(1,2,3)[1]
   
 ## =====================================================  ## =====================================================
 ## Example 2. Asteroid data in the paper  ## Example 2. Asteroid data in the paper
 ## =====================================================  ## =====================================================
 hgm.so3nc(19.6,0.831,-0.671)  hgm.ncso3(19.6,0.831,-0.671)[1]
 }  }
 % Add one or more standard keywords, see file 'KEYWORDS' in the  % Add one or more standard keywords, see file 'KEYWORDS' in the
 % R documentation directory.  % R documentation directory.
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