Neutral wrenches of 3-parametric robot-manipulators of the spherical rank 1

Marta Bakšová

Displaying similar documents to “Neutral wrenches of 3-parametric robot-manipulators of the spherical rank 1”

On some cohomological properties of the Lie algebra of Euclidean motions

Marta Bakšová, Anton Dekrét (2009)

Mathematica Bohemica

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The external derivative $d$ on differential manifolds inspires graded operators on complexes of spaces $Λ^{r} g^{*}$ , $Λ^{r} g^{*} \otimes g$ , $Λ^{r} g^{*} \otimes g^{*}$ stated by $g^{*}$ dual to a Lie algebra $g$ . Cohomological properties of these operators are studied in the case of the Lie algebra $g = s e (3)$ of the Lie group of Euclidean motions.

On stabbing triangles by lines in 3-space

Boris Aronov, Jiří Matoušek (1995)

Commentationes Mathematicae Universitatis Carolinae

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We give an example of a set $P$ of $3 n$ points in $ℝ 3$ such that, for any partition of $P$ into triples, there exists a line stabbing $Ω (\sqrt{n})$ of the triangles determined by the triples.

Sets invariant under projections onto two dimensional subspaces

Simon Fitzpatrick, Bruce Calvert (1991)

Commentationes Mathematicae Universitatis Carolinae

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The Blaschke–Kakutani result characterizes inner product spaces $E$ , among normed spaces of dimension at least 3, by the property that for every 2 dimensional subspace $F$ there is a norm 1 linear projection onto $F$ . In this paper, we determine which closed neighborhoods $B$ of zero in a real locally convex space $E$ of dimension at least 3 have the property that for every 2 dimensional subspace $F$ there is a continuous linear projection $P$ onto $F$ with $P (B) \subseteq B$ .