We describe a general framework to define dendriform algebras and a general construction to obtain new dendriform algebra structures from known structures and from linear operators. The construction includes recent constructions of the quadri-algebra, the ennea-algebras, the dendriformNijenhuis algebras and the octo-algebras.

The noise is one of the negative elements which affects the human health. This article presents the measurement of emitted noise by road vehicle and its parts during the operation. Measurement was done in the interior of common passenger cars with a digital sound meter. The results compare the noise value in different cars with different body shape, which influences the driver’s health. Transpo...

The oven, in which the diffusion runs were carried out, was built of a vertical glass tube with a Kanthal winding (see Fig. 1). This winding was supplied with some extra terminals; shunting parts of it allowed the temperature to be kept constant (or slightly increasing upwards) over a sufficient length in the oven. The insulation consisted of rockwool, a section of which could be removed tempor...

Paper presents research results of the parts accuracy after manufacturing with used Rapid Prototyping technology in context of the possible use of multi-directional layers disposition. Errors of the model by production were analyzed in two categories: external and internal model errors. External errors of models production include: conversion error, staircase error and error of slicing into lay...

We derive conservative fourthand sixth-order finite difference approximations for the divergence and gradient operators and a compatible inner product on staggered 1D uniform grids in a bounded domain. The methods combine standard centered difference formulas in the interior with new one-sided finite difference approximations near the boundaries. We derive compatible inner products for these di...

In this paper, the problem of state and input constrained control is addressed, with multidimensional constraints. We obtain a local description of the boundary of the admissible subset of the state space where the state and input constraints can be satisfied for all times. This boundary is made of two disjoint parts: the subset of the state constraint boundary on which there are trajectories p...

where f ∈ L2(Ω). Let Th be a simplicial or convex quadrilateral triangulation of Ω. In C 0 interior penalty methods, we choose the discrete space Vh ⊂ H 1 0 (Ω) to be either a P` (` ≥ 2) triangular Lagrange finite element space or a Q` (` ≥ 2) tensor product finite element space associated with Th. By an integration by parts argument [4], it can be shown that the solution u of (1), which belong...

Chloroplasts, Lipids, Proteins, Antibody Binding, Thylakoid Membrane Surface The maximal binding of antibodies out of monospecific antisera to proteins and lipids onto three different chloroplast preparations is compared. In these preparations different parts of the thylakoid membrane surface are accessible to antibodies. Whereas stroma-freed chloroplasts bind antibodies only at the outer surfa...

We compute the essential norm of a composition operator relatively to the class of Dunford-Pettis opertors or weakly compact operators, on some uniform algebras of analytic functions. Even in the frame of H∞ (resp. the disk algebra), this is new, as well for the polydisk algebras and the polyball algebras. This is a consequence of a general study of weighted composition operators.