Sökning: "Computer Algebra"
Visar resultat 11 - 15 av 22 uppsatser innehållade orden Computer Algebra.
11. Modelling and Simulation of Conservative Dynamical Systems by Computer Algebra Assisted Lagrangian Mechanics
Kandidat-uppsats, KTH/Skolan för teknikvetenskap (SCI)Sammanfattning : Conservative dynamical systems is modelled with Lagrangian mechanics using Maple TM with the KTH developed plug-in symbolic package Sophia and simulated using Matlab®. Two double pendulum configurations and an object in a Keplerian orbit is studied. LÄS MER
12. Analytical Mechanics with Computer Algebra
Kandidat-uppsats, KTH/MekanikSammanfattning : Classical mechanics is the branch of physics concerned with describing the motion of bodies. The subject is based on three simple axioms relating forces and movement. These axioms were first postulated by Newton in the 17th century and are known as his three laws of motion. Lagrangian mechanics is a restatement of the Newtonian formulation. LÄS MER
13. Automatic Enumeration of Intervals of Partial Co-Clones
Magister-uppsats, Linköpings universitet/Institutionen för datavetenskapSammanfattning : Computer scientists are curious about the complexity relationship between different kinds of NP-complete SAT problems. In order to understand the complexity relationship between SAT problems, we decided to correspond SAT problems to a kind of algebra called partial co-clones. Each SAT problem can be represented by a set of Boolean relations. LÄS MER
14. Constructing a Computer Algebra System Capable of Generating Pedagogical Step-by-Step Solutions
Master-uppsats, KTH/Skolan för datavetenskap och kommunikation (CSC)Sammanfattning : For the problem of producing pedagogical step-by-step solutions to mathematical problems in education, standard methods and algorithms used in construction of computer algebra systems are often not suitable. A method of using rules to manipulate mathematical expressions in small steps is suggested and implemented. LÄS MER
15. Undersökning av Mekaniska Problem med hjälp av Datoralgebra
Kandidat-uppsats, KTH/MekanikSammanfattning : When investigating mechanical problems it is often more convenient to deal with scalars rather than vectors. In this project methods stemming from the field of analytical mechanics, which lets one derive the equations of motion using scalar quantities instead of vectors, have been used. LÄS MER