. . . "Calculus of variations and its application to division of forest land" . "Journal of Forest Science" . "8"^^ . "1212-4834" . "556748" . . . "Calculus of variations and its application to division of forest land" . . "Calculus of variations and its application to division of forest land"@en . "Vyu\u017Eit\u00ED varia\u010Dn\u00EDho po\u010Dtu pro d\u011Blen\u00ED lesn\u00EDch pozemk\u016F"@cs . . . "RIV/62156489:43410/04:00003544" . . "Calculus of variations and its application to division of forest land"@en . . . "9" . "[973B2EFE1D6C]" . "Mat\u011Bj\u00EDk, Miroslav" . "The paper deals with application of the least squares method (LSM) for the purpose of division and evaluation of land. This method can be used in all cases with redundant number of measurements, in this case of segments of plots. From the mathematical aspect the minimization condition of the LSM is a norm condition minimizing the Euclidean norm of a n-dimensional vector of residues of plot segments at simultaneous fulfillment of the given conditions. The traditional procedure of calculus of variations with the use of Lagrangian function is shown. If some additional conditions are included in the calculation, it is possible, on the basis of the criteria presented in this article, to evaluate the degree of deformation of the selected solution on the measured quantities. The application of the method of adjustment of conditioned measurement may help us solve the problems of parcel division on the basis of intersection of the parcel layers according to the real-estate cadastre and according to previous la"@en . "439;446" . . "Vyu\u017Eit\u00ED varia\u010Dn\u00EDho po\u010Dtu pro d\u011Blen\u00ED lesn\u00EDch pozemk\u016F"@cs . "43410" . "P\u0159\u00EDsp\u011Bvek obsahuje vyu\u017Eit\u00ED metod varia\u010Dn\u00EDho po\u010Dtu a nejmen\u0161\u00EDch \u010Dtverc\u016F (MN\u010C) pro \u00FA\u010Dely d\u011Blen\u00ED a oce\u0148ov\u00E1n\u00ED pozemk\u016F. Tuto metodu je mo\u017En\u00E9 pou\u017E\u00EDt v\u0161ude tam, kde existuje nadbyte\u010Dn\u00FD po\u010Det m\u011B\u0159en\u00ED, v tomto p\u0159\u00EDpad\u011B d\u00EDl\u016F ploch. Z matematick\u00E9ho hlediska je minimaliza\u010Dn\u00ED podm\u00EDnka MN\u010C vyj\u00E1d\u0159ena jako normovan\u00E1 podm\u00EDnka minimalizuj\u00EDc\u00ED euklidovskou normu n-rozm\u011Brn\u00E9ho vektoru oprav d\u00EDl\u016F ploch sou\u010Dasn\u011B se spln\u011Bn\u00EDm zadan\u00FDch podm\u00EDnek. V\u00FDpo\u010Det je uk\u00E1z\u00E1n klasick\u00FDm postupem varia\u010Dn\u00EDho po\u010Dtu pomoc\u00ED Lagrangeovy funkce. Pokud jsou do v\u00FDpo\u010Dtu vlo\u017Eeny nav\u00EDc dal\u0161\u00ED dodate\u010Dn\u00E9 podm\u00EDnky, je mo\u017En\u00E9 na podklad\u011B v pr\u00E1ci uveden\u00FDch krit\u00E9ri\u00ED posoudit m\u00EDru deformace zvolen\u00E9ho \u0159e\u0161en\u00ED na m\u011B\u0159en\u00E9 veli\u010Diny. Metoda m\u016F\u017Ee pomoci \u0159e\u0161it takov\u00E9 \u00FAlohy, kde p\u0159i d\u011Blen\u00ED pozemk\u016F doch\u00E1z\u00ED sou\u010Dasn\u011B k pr\u016Fnik\u016Fm r\u016Fzn\u00FDch vrstev pozemkov\u00FDch evidenc\u00ED, bonita\u010Dn\u00EDch, typologick\u00FDch, cenov\u00FDch nebo mapov\u00FDch podklad\u016F."@cs . "RIV/62156489:43410/04:00003544!RIV/2005/MSM/434105/N" . . "adjustment with conditions;area;calculus of variations;division of land"@en . . . "50" . "The paper deals with application of the least squares method (LSM) for the purpose of division and evaluation of land. This method can be used in all cases with redundant number of measurements, in this case of segments of plots. From the mathematical aspect the minimization condition of the LSM is a norm condition minimizing the Euclidean norm of a n-dimensional vector of residues of plot segments at simultaneous fulfillment of the given conditions. The traditional procedure of calculus of variations with the use of Lagrangian function is shown. If some additional conditions are included in the calculation, it is possible, on the basis of the criteria presented in this article, to evaluate the degree of deformation of the selected solution on the measured quantities. The application of the method of adjustment of conditioned measurement may help us solve the problems of parcel division on the basis of intersection of the parcel layers according to the real-estate cadastre and according to previous la" . "1"^^ . "CZ - \u010Cesk\u00E1 republika" . . "Z(MSM 434100005)" . "1"^^ .