scholarly journals Local R-Functional Modelling (LRFM)

2021 ◽  
Author(s):  
Alexey Tolok ◽  
Nataliya Tolok
Keyword(s):  
Dimensional Space ◽  
Three Dimensional ◽  
Sequential Algorithm ◽  
Multidimensional Case ◽  
Analytical Geometry ◽  
New Class ◽  
Functional Modelling ◽  
2D System ◽  
Voxel Model ◽  
Three Dimensional Space

A new class of functions - "FLOZ- functions" (Functions of LOcal Zeroing out), which makes it possible to form the zero domain of a scalar-valued multidimensional function of complex configuration by means of R-functional modelling is considered. We represent the solution of the inverse problem of analytical geometry for a non-convex contour construction obtained by V.L. Rvachev’s mathematical apparatus of R-functions. The problems of constructing an algorithm for automation the proposed by V.L. Rvachev solutions are described. Presented arguments show the complexity of constructing an algorithm based on recursive attachment. The functional voxel model was created in the RANOK 2D system. An approach to the function of local zeroing out (FLOZ-function) construction for the general (multidimensional) case is described. A two-dimensional function of local zeroing out is selected for solving the problem of a non-convex contour constructing. It is shown that the function of local zeroing out allows to create the sequential algorithm of automation the non-convex contour construction. Examples of automation the considered problems of V.L. Rvachev to the non- convex contour construction are given. The function of local zeroing out for three-dimensional space (3D FLOZ-function) is considered. An example of functional voxel modelling of a 3D sphere model based on a triangulated network consisted of 80 triangles is given.

A Peptoid with Extended Shape in Water

2019 ◽  
Author(s):  
Jumpei Morimoto ◽  
Yasuhiro Fukuda ◽  
Takumu Watanabe ◽  
Daisuke Kuroda ◽  
Kouhei Tsumoto ◽  
...  
Keyword(s):  
Spectroscopic Analysis ◽  
Dimensional Space ◽  
Three Dimensional ◽  
Biomolecular Recognition ◽  
Biological Application ◽  
New Class ◽  
Proteolytic Resistance ◽  
Pharmacokinetic Properties ◽  
Optically Pure ◽  
Three Dimensional Space

<div> <div> <div> <p>“Peptoids” was proposed, over decades ago, as a term describing analogs of peptides that exhibit better physicochemical and pharmacokinetic properties than peptides. Oligo-(N-substituted glycines) (oligo-NSG) was previously proposed as a peptoid due to its high proteolytic resistance and membrane permeability. However, oligo-NSG is conformationally flexible and is difficult to achieve a defined shape in water. This conformational flexibility is severely limiting biological application of oligo-NSG. Here, we propose oligo-(N-substituted alanines) (oligo-NSA) as a new peptoid that forms a defined shape in water. A synthetic method established in this study enabled the first isolation and conformational study of optically pure oligo-NSA. Computational simulations, crystallographic studies and spectroscopic analysis demonstrated the well-defined extended shape of oligo-NSA realized by backbone steric effects. The new class of peptoid achieves the constrained conformation without any assistance of N-substituents and serves as an ideal scaffold for displaying functional groups in well-defined three-dimensional space, which leads to effective biomolecular recognition. </p> </div> </div> </div>

scholarly journals COLUMN TESSELLATIONS

2015 ◽  
Vol 34 (2) ◽  
pp. 87 ◽  
Author(s):  
Linh Ngoc Nguyen ◽  
Viola Weiss ◽  
Richard Cowan
Keyword(s):  
Dimensional Space ◽  
Three Dimensional ◽  
Mean Values ◽  
New Class ◽  
A Cell ◽  
Spatial Tessellation ◽  
Spatial Construction ◽  
Base Facet ◽  
Stationary Planar ◽  
Three Dimensional Space

A new class of non facet-to-facet random tessellations in three-dimensional space is introduced -- the so-called column tessellations. The spatial construction is based on a stationary planar tessellation; each cell of the spatial tessellation is a prism whose base facet is  congruent to a cell of the planar tessellation. Thus intensities, topological and metric mean values of the spatial tessellation can be calculated from suitably chosen parameters of the planar tessellation.

On the Geometry of 3D Orientation Measurement Using a New Class of Wireless Angular Position Sensors

2003 ◽  
Author(s):  
Q. J. Ge ◽  
J. Rastegar ◽  
Carlos Pereira
Keyword(s):  
Energy Level ◽  
Wireless Sensors ◽  
Dimensional Space ◽  
Angular Position ◽  
Three Dimensional ◽  
Electromagnetic Energy ◽  
Orientation Measurement ◽  
New Class ◽  
Orientation Sensor ◽  
Three Dimensional Space

This paper deals with the geometric issues that arise in designing a system for measuring the orientation of an object in three dimensional space using a new class of wireless angular position sensors. The wireless sensors are waveguides that receive and record the electromagnetic energy emitted by a polarized RF source. The angular position of the waveguide relative to the source is indicated by the energy level. A system equipped with multiple waveguides is used as a 3D orientation sensor. This paper explores the geometry for orientation measurement using the system and provides the guidelines for sensor design.

A Peptoid with Extended Shape in Water

2019 ◽  
Author(s):  
Jumpei Morimoto ◽  
Yasuhiro Fukuda ◽  
Takumu Watanabe ◽  
Daisuke Kuroda ◽  
Kouhei Tsumoto ◽  
...  
Keyword(s):  
Spectroscopic Analysis ◽  
Dimensional Space ◽  
Three Dimensional ◽  
Biomolecular Recognition ◽  
Biological Application ◽  
New Class ◽  
Proteolytic Resistance ◽  
Pharmacokinetic Properties ◽  
Optically Pure ◽  
Three Dimensional Space

<div> <div> <div> <p>“Peptoids” was proposed, over decades ago, as a term describing analogs of peptides that exhibit better physicochemical and pharmacokinetic properties than peptides. Oligo-(N-substituted glycines) (oligo-NSG) was previously proposed as a peptoid due to its high proteolytic resistance and membrane permeability. However, oligo-NSG is conformationally flexible and is difficult to achieve a defined shape in water. This conformational flexibility is severely limiting biological application of oligo-NSG. Here, we propose oligo-(N-substituted alanines) (oligo-NSA) as a new peptoid that forms a defined shape in water. A synthetic method established in this study enabled the first isolation and conformational study of optically pure oligo-NSA. Computational simulations, crystallographic studies and spectroscopic analysis demonstrated the well-defined extended shape of oligo-NSA realized by backbone steric effects. The new class of peptoid achieves the constrained conformation without any assistance of N-substituents and serves as an ideal scaffold for displaying functional groups in well-defined three-dimensional space, which leads to effective biomolecular recognition. </p> </div> </div> </div>

The Implement of Robotic Cutting Trajectory Plan for Pressure Vessel

2012 ◽  
Vol 271-272 ◽  
pp. 570-574
Author(s):  
Xiao Li Qiu ◽  
Yan Xing ◽  
Shuang Feng
Keyword(s):  
Mathematical Model ◽  
Feature Extraction ◽  
Trajectory Planning ◽  
Pressure Vessel ◽  
Dimensional Space ◽  
Three Dimensional ◽  
Analytical Geometry ◽  
Program Language ◽  
The Mathematical Model ◽  
Three Dimensional Space

Robot is now can used to cut the opening pore of Pressure Vessel and the end of pipe. It is important to solve the problem of robotic cutting trajectory planning for cutting of the three-dimensional curved surface and the intersected curve with groove at the end of pipe. According to the analytical geometry in the three-dimensional space, the mathematical model of intersected curve with groove is presented. Trajectory planning and cutting torch stance is fixed through the feature extraction and kinematics calculation. Using the L-positioner, the problem of robot limiting in cutting process is resolved. As a post operator, a program is developed to automatically generate corresponding robot program to match to the program language format of Kuka and Reis robot. The robot cutting trajectory supported by the above algorithms and program is tested in solidworks.

Extension of the Spatial PDI Model to Three Dimensions

1997 ◽  
Vol 84 (1) ◽  
pp. 176-178
Author(s):  
Frank O'Brien
Keyword(s):  
Population Density ◽  
Dimensional Space ◽  
Finite Lattice ◽  
Three Dimensional ◽  
Upper Bounds ◽  
Three Dimensions ◽  
Lower And Upper Bounds ◽  
Density Index ◽  
Three Dimensional Space

The author's population density index ( PDI) model is extended to three-dimensional distributions. A derived formula is presented that allows for the calculation of the lower and upper bounds of density in three-dimensional space for any finite lattice.

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