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## Application of Mathematics in Robotics full reportPosted by: project topics Created at: Tuesday 13th of April 2010 12:57:26 AM Last Edited Or Replied at :Tuesday 13th of April 2010 12:57:26 AM | robotics kits ,
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€œ equation of a sphere Problem: Number of points presented by (x, y, z, u, v, w) is not equal to the number of points presented by the above equation Not all points that lie in that sphere can be actually reached The forward kinematic problem For example seen in a plane: The forward kinematic problem The forward kinematic problem Extension (another theorem J) Check for the points excluded If the point is not among these â€œ it is reachable. The problem is solved! GrÃƒÂ¶bner Bases Application areas of GrÃƒÂ¶bner Bases Introduced by Bruno Buchb.................. [:=> Show Contents <=:] | |||

## ppt on application of mathematics in various fieldsPosted by: Created at: Wednesday 27th of February 2013 11:23:52 PM Last Edited Or Replied at :Thursday 28th of March 2013 05:14:12 AM | application of mathematics in various fields ppt,
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## Application of Mathematics in Robotics full reportPosted by: project topics Created at: Tuesday 13th of April 2010 12:57:26 AM Last Edited Or Replied at :Tuesday 13th of April 2010 12:57:26 AM | robotics kits ,
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f polynomial equations â€œ find the real roots The forward kinematic problem Linear systems â€œ reduced row echelon form In our case â€œ polynomial equations Groebner basis â€œ the equivalent (used to present the solutions of the equations in a reduced way) The forward kinematic problem Problem: We have 3 dimensions: Looking for a point with coordinates (u, v, w) But we have 6 variables! (x, y, z, u, v, w) We need to get rid of (x, y, z) Solution: Elimination The forward kinematic problem The Groebner basis â€œ one of the polynomials looks like this:.................. [:=> Show Contents <=:] |

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