Geodesy, the Concepts |
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Page 210
... covariance matrix of § is identical with that of ✰ since x ( ) is a constant vector and thus its covariance matrix is equal to a null matrix . In a way , the derivation of C completes the transformation , given by ( 11.1 ) , we set out ...
... covariance matrix of § is identical with that of ✰ since x ( ) is a constant vector and thus its covariance matrix is equal to a null matrix . In a way , the derivation of C completes the transformation , given by ( 11.1 ) , we set out ...
Page 211
Petr Vaníček, Edward J. Krakiwsky. Comparison of the above covariance matrix with that of C , shows that C1 = C1 - C ; = C , — C ;; ( 12.41 ) as expected , the variances of the adjusted observations are smaller than the variances before ...
Petr Vaníček, Edward J. Krakiwsky. Comparison of the above covariance matrix with that of C , shows that C1 = C1 - C ; = C , — C ;; ( 12.41 ) as expected , the variances of the adjusted observations are smaller than the variances before ...
Page 244
... covariance matrix of the observations can be computed . A subtle point , usually ignored in the existing literature , must be made regarding C : strictly speaking , this is the covariance matrix of the adjusted observations given by ...
... covariance matrix of the observations can be computed . A subtle point , usually ignored in the existing literature , must be made regarding C : strictly speaking , this is the covariance matrix of the adjusted observations given by ...
Contents
HISTORY OF GEODESY | 6 |
GEODESY AND OTHER DISCIPLINES | 20 |
STRUCTURE OF GEODESY | 46 |
Copyright | |
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accuracy adjustment angle approximation astronomical axis azimuth C₁ called Chapter coefficients components computed considered coordinate system correction covariance matrix CT system datum defined deflection deformation denoted derived design matrix determined direction displacement earth earth's gravity field earth's surface effect ellipse equipotential surfaces error estimated evaluated filter formula frequency geocentric geodesy geodetic geoid geoidal height given global gradient gravity anomalies height differences horizontal networks integral inverse known least-squares linear lithosphere mass mathematical model mean measured meridian motion normal equations normal gravity nutation observations obtained orbital orthometric height plane plumb line polar motion position potential probability density function problem quadratic form quantities reference ellipsoid refraction relative residual satellite sea level shown in FIG solution space spherical spin statistically dependent statistically independent techniques tidal transformation unknown parameters VANÍČEK variance variations vector velocity vertical