
Finding a mechanism with (4, 7) filtration corresponding to the path geometry
Rajsiglová, Eva ; Zalabová,, Lenka (referee) ; Hrdina, Jaroslav (advisor)
The subject of this Bachelor's thesis is control theory of mechanism, the socalled trident snake robot. From a viewpoint of control theory, it is classified as a nonholonomic system whose controllability is determined by vector fields. In this thesis, input vector fields are obtained from the system of nonholonomic equations. The Lie bracket operation is applied on this vector fields. On the basis of an analysis of the results of the Lie bracket operation, the fulfillment of the definition of the generalized path geometry is verified for the particular models of the trident snake robot. Finally, Hamiltonian function and Christoffel symbols, needed to compile equations of geodesics, are calculated.

 

The Pope as a Patriarch of the West
Rajsiglová, Eva ; Přibyl, Stanislav (advisor) ; Ventura, Václav (referee)
In this thesis we observe historical evolution of eastern and western Patriarchates and compare their canonical concepts. Then we consider different attitudes of experts as well as Church hierarchy to the existence of Latin Patriarchate with the Roman Bishop as its head. The Vatican authorities abolished in the year 2006 the Papal title "Patriarch of the West" and gave an official comment several weeks later. In this work we give an overview of reactions of western and eastern theologians to this act and sketch possible ecclesiological and ecumenical consequences.


Finding a mechanism with (4, 7) filtration corresponding to the path geometry
Rajsiglová, Eva ; Zalabová,, Lenka (referee) ; Hrdina, Jaroslav (advisor)
The subject of this Bachelor's thesis is control theory of mechanism, the socalled trident snake robot. From a viewpoint of control theory, it is classified as a nonholonomic system whose controllability is determined by vector fields. In this thesis, input vector fields are obtained from the system of nonholonomic equations. The Lie bracket operation is applied on this vector fields. On the basis of an analysis of the results of the Lie bracket operation, the fulfillment of the definition of the generalized path geometry is verified for the particular models of the trident snake robot. Finally, Hamiltonian function and Christoffel symbols, needed to compile equations of geodesics, are calculated.


The Pope as a Patriarch of the West
Rajsiglová, Eva ; Přibyl, Stanislav (advisor) ; Ventura, Václav (referee)
In this thesis we observe historical evolution of eastern and western Patriarchates and compare their canonical concepts. Then we consider different attitudes of experts as well as Church hierarchy to the existence of Latin Patriarchate with the Roman Bishop as its head. The Vatican authorities abolished in the year 2006 the Papal title "Patriarch of the West" and gave an official comment several weeks later. In this work we give an overview of reactions of western and eastern theologians to this act and sketch possible ecclesiological and ecumenical consequences.

 