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AUTOMATED REASONING IN DIFFERENTIAL GEOMETRY AND MECHANICS USING THE CHARACTERISTIC METHOD Ⅳ. Bertrand Curves
Mechanical theorem proving metric differ
2007/8/7
This paper reports the study of properties of the curve pairs of the Bertrand types using our automated reasoning program based on Wu's method of mechanical theorem proving for differential geometry. ...
Automated Reasoning in Dierential Geometry and Mechanics Using Characteristic Method 1 III. Mechanical Formula Derivation
Automated Reasoning Dierential Geometry Mechanics Characteristic Method Mechanical Formula Derivation
2013/9/9
In this paper, methods of mechanical deriving of formulas from a set of di®erential polynomial equations and a set of di®erential polynomial inequations are presented. The methods have been ...
Automated Reasoning in Dierential Geometry and Mechanics Using the Characteristic Set Method 1 Part I. An Improved Version of Ritt{Wu's Decomposition Algorithm
Dierential polynomial weak ascending chain W{prem Ritt{Wu's principle quasi zero set Ritt{Wu's decomposition algorithm
2013/9/9
This is the ˉrst paper of a series of three papers under the same title. It presents an improved version of Ritt{Wu's decomposition algorithm which is the basis of our methods of mechanical theorem pr...
Automated Reasoning in Di®erential Geometry and Mechanics Using Characteristic Method IV. Bertrand Curves
Mechanical theorem proving metric dierential geometry a±ne dierential geometry Bertrand curves.
2013/9/9
This paper reports the study of properties of the curve pairs of the Bertrand types using our automated reasoning program based on Wu's method of mechanical theorem proving for di®erential geomet...
Automated Reasoning in Di®erential Geometry and Mechanics Using the Characteristic Set Method 1 Part II. Mechanical Theorem Proving
Mechanical theorem proving Wu's method Ritt{Wu's decomposition algorithm statement of equation type generally true universally true space curve theory elementary mechanics
2013/9/9
We clarify the formulation problem of mechanical theorem proving in di®erential geometry and mechanics and propose two formulations. We present complete methods of mechanical theorem proving for ...