Calculation of industrial robot trajectory in frame composite production

Mlýnek, Jaroslav; Martinec, Tomáš; Petrů, Michal

Displaying similar documents to “Calculation of industrial robot trajectory in frame composite production”

Generalized atomic subspaces for operators in Hilbert spaces

Prasenjit Ghosh, Tapas Kumar Samanta (2022)

Mathematica Bohemica

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We introduce the notion of a $g$ -atomic subspace for a bounded linear operator and construct several useful resolutions of the identity operator on a Hilbert space using the theory of $g$ -fusion frames. Also, we shall describe the concept of frame operator for a pair of $g$ -fusion Bessel sequences and some of their properties.

Natural maps depending on reductions of frame bundles

Ivan Kolář (2011)

Annales Polonici Mathematici

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We clarify how the natural transformations of fiber product preserving bundle functors on $ℱ ℳ_{m}$ can be constructed by using reductions of the rth order frame bundle of the base, $ℱ ℳ_{m}$ being the category of fibered manifolds with m-dimensional bases and fiber preserving maps with local diffeomorphisms as base maps. The iteration of two general r-jet functors is discussed in detail.

On the $γ$ -equivalence of semiholonomic jets

Miroslav Doupovec, Ivan Kolář (2019)

Archivum Mathematicum

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It is well known that the concept of holonomic $r$ -jet can be geometrically characterized in terms of the contact of individual curves. However, this is not true for the semiholonomic $r$ -jets, [5], [8]. In the present paper, we discuss systematically the semiholonomic case.

Lifting adapted connections from foliated manifolds to higher order adapted frame bundles

J. Kurek, W. M. Mikulski (2008)

Annales Polonici Mathematici

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Let (M,ℱ) be a foliated manifold. We describe all natural operators lifting ℱ-adapted (i.e. projectable in adapted coordinates) classical linear connections ∇ on (M,ℱ) into classical linear connections (∇) on the rth order adapted frame bundle $P^{r} (M, ℱ)$ .

Strongly fixed ideals in $C (L)$ and compact frames

A. A. Estaji, A. Karimi Feizabadi, M. Abedi (2015)

Archivum Mathematicum

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Let $C (L)$ be the ring of real-valued continuous functions on a frame $L$ . In this paper, strongly fixed ideals and characterization of maximal ideals of $C (L)$ which is used with strongly fixed are introduced. In the case of weakly spatial frames this characterization is equivalent to the compactness of frames. Besides, the relation of the two concepts, fixed and strongly fixed ideals of $C (L)$ , is studied particularly in the case of weakly spatial frames. The concept of weakly spatiality is actually...

Typesetting of Tables and Lists and Other New Features in TeXonWeb

Jan Přichystal (2011)

Zpravodaj Československého sdružení uživatelů TeXu

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This article describes new features in TeXonWeb. TeXonWeb is a web application that allows us to use TeX/LaTeX typesetting system without needing its installation on a local computer. One of the most important characteristics of this application is to help beginners to start working with TeX/LaTeX. It offers them a lot of tools such as table and list wizards to ease their first steps.

Neifeld’s Connection Inducedon the Grassmann Manifold

Olga Belova (2016)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

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The work concerns to investigations in the field of differential geometry. It is realized by a method of continuations and scopes of G. F. Laptev which generalizes a moving frame method and Cartan’s exterior forms method and depends on calculation of exterior differential forms. The Grassmann manifold (space of all $m$ -planes) is considered in the $n$ -dimensional projective space $P_{n}$ . Principal fiber bundle of tangent linear frames is arised above this manifold. Typical fiber of the principal...

On the existence of non-linear frames

Shah Jahan, Varinder Kumar, S.K. Kaushik (2017)

Archivum Mathematicum

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A stronger version of the notion of frame in Banach space called Strong Retro Banach frame (SRBF) is defined and studied. It has been proved that if $𝒳$ is a Banach space such that $𝒳^{*}$ has a SRBF, then $𝒳$ has a Bi-Banach frame with some geometric property. Also, it has been proved that if a Banach space $𝒳$ has an approximative Schauder frame, then $𝒳^{*}$ has a SRBF. Finally, the existence of a non-linear SRBF in the conjugate of a separable Banach space has been proved.

The generic dimension of the first derived system

Robert P. Buemi (1978)

Annales de l'institut Fourier

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Any $r$ -dimensional subbundle of the cotangent bundle on an $n$ -dimensional manifold $M$ partitions $M$ into subsets $M_{0}, ..., M_{m}$ ( $m$ being the minimum of $r$ and $C (n - r, 2)$ , the combinations of $n - r$ things taken 2 at a time). $M_{i}$ is the set on which the first derived systems of the subbundle has codimension $i$ . In this paper we prove the following: Theorem. Let $s \geq 2$ and let $Q$ be a generic $C^{s}$ $r$ -dimensional subbundle of the cotangent bundle of an $n$ -dimensional manifold $M$ . The codimension...

On the alpine ski with dry friction and air resistance. Some optimization problems for it

Aldo Bressan (1999)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

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In the present work, divided in three parts, one considers a real skis-skier system, $Σ_{R}$ , descending along a straight-line $l$ with constant dry friction; and one schematizes it by a holonomic system $Σ = A \cup U$ , having any number $n \geq 4$ of degrees of freedom and subjected to (non-ideal) constraints, partly one-sided. Thus, e.g., jumps and also «steps made with sliding skis» can be schematized by $Σ$ . Among the $n$ Lagrangian coordinates for $Σ$ two are the Cartesian coordinates $ξ$ and $η$ of its center of mass,...