scholarly journals On projective coordinate spaces

Filomat ◽  
2017 ◽  
Vol 31 (4) ◽  
pp. 941-952 ◽  
Author(s):  
Süleyman Çiftçi ◽  
Fatma Erdoğan
Keyword(s):  
Incidence Matrix ◽  
Equivalence Classes ◽  
Coordinate Space ◽  
3 Dimensional ◽  
The Given ◽  
Dimensional Module ◽  
Projective Coordinate

In the present study, an (n+1)-dimensional module over the local ringK = Mmm(R) is constructed. Further, an n-dimensional projective coordinate space over this module is constructed with the help of equivalence classes. The points and lines of this space are determined and the points are classified. Finally, for a 3-dimensional projective coordinate space, the incidence matrix for a line that goes through the given points and also all points of a line given with the incidence matrix are found by the use of Maple commands.

A class of projective coordinate spaces over modules

2019 ◽  
Vol 13 (05) ◽  
pp. 2050095
Author(s):  
Ati̇lla Akpinar ◽  
Fatma Ozen Erdogan
Keyword(s):  
Matrix Algebra ◽  
Incidence Matrix ◽  
Coordinate Space ◽  
Local Rings ◽  
3 Dimensional ◽  
Special Matrix ◽  
Special Algebra ◽  
Algebra Class ◽  
Projective Coordinate

In this paper, we study a class of local rings that are not isomorphic to the class of two local rings we have been working on before. This class is also an isomorphism to a special matrix algebra. We construct a projective coordinate space over a module defined on this special algebra class. Specifically, in a 3-dimensional projective coordinate space, the incidence matrix for a line that combines the certain two points and also all points of a line given with the incidence matrix are found by the help of Maple programme.

Experimental Study and Numerical Analysis of Sihui Metro Depot and the Superstructure

2012 ◽  
Vol 226-228 ◽  
pp. 176-180
Author(s):  
Jing Zhang ◽  
Bin Zhang ◽  
Ying Hua Liu ◽  
Long Qi Wang ◽  
Yu Bin Wu
Keyword(s):  
Time History ◽  
Field Tests ◽  
Element Model ◽  
Test Analysis ◽  
3 Dimensional ◽  
Dimensional Finite Element ◽  
Calculation Results ◽  
History Of ◽  
The Given ◽  
The Waves

Field tests were carried out on Sihui metro depot of Beijing metro line 1 and its superstructure. The acceleration time history of sleepers and floors of the building was obtained, and the waves-propagation laws of building were studied through the tests. Test analysis shows that the structure vibrations show zigzag tendencies ascends with the height of the building. Based on current situation of Sihui metro depot, a metro-soil-building 3-dimensional finite element model is established on ANSYS. By using actual acceleration of sleepers as inputs, the dynamic responds rule of the superstructure is obtained. Compared calculation results with the experimental results, the given numerical model can predict the vibrations of the building induced by moving trains quite well. This method can provide guidance and technical support for future development of superstructure.

Explicit Forms of Local Lifting for GL2

1996 ◽  
Vol 48 (2) ◽  
pp. 343-362
Author(s):  
Donggyun Kim
Keyword(s):  
Explicit Form ◽  
Galois Field ◽  
Field Extension ◽  
Equivalence Classes ◽  
Weil Representations ◽  
Induced Representations ◽  
The Given

AbstractLet F be a local non-Archimedean field and let Ꮪ(GL2(F)) be the set of equivalence classes of irreducible admissible representations of GL(F). When K/F be a Galois field extension, there is a map, called lifting, from Ꮪ(GL2(F)) to Ꮪ(GL2(K)). We give an explicit form of lifting when K/F is a quadratic wildly ramified extension and the given representations are Weil supercuspidal. We also provide a comparison between Weil representations and induced representations of GL2(F).

scholarly journals About Zero Torsion Linear Maps on Lie Algebras

ISRN Algebra ◽  
2011 ◽  
Vol 2011 ◽  
pp. 1-16
Author(s):  
Louis Magnin
Keyword(s):  
Lie Algebra ◽  
Lie Algebras ◽  
Equivalence Classes ◽  
Explicit Description ◽  
Complex Structures ◽  
Linear Map ◽  
3 Dimensional ◽  
Linear Maps

We prove that any zero torsion linear map on a nonsolvable real Lie algebra is an extension of some CR-structure. We then study the cases of (2, ) and the 3-dimensional Heisenberg Lie algebra . In both cases, we compute up to equivalence all zero torsion linear maps on , and deduce an explicit description of the equivalence classes of integrable complex structures on .

scholarly journals Computing the Angularity Tolerance

1998 ◽  
Vol 08 (04) ◽  
pp. 467-482 ◽  
Author(s):  
Mark De Berg ◽  
Henk Meijer ◽  
Mark Overmars ◽  
Gordon Wilfong
Keyword(s):  
Restricted Problem ◽  
Dimensional Space ◽  
Similar Time ◽  
3 Dimensional ◽  
Computational Metrology ◽  
The Given ◽  
Time Bounds ◽  
Extract Information

In computational metrology one needs to compute whether an object satisfies specifications of shape within an acceptable tolerance. To this end positions on the object are measured, resulting in a collection of points in space. From this collection of points one wishes to extract information on flatness, roundness, etc. of the object. In this paper we study one particular feature of objects, the angularity. The angularity indicates how well a plane makes a specified angle with another plane. We study the problem in 2-dimensional space (where the planes become lines) and in 3-dimensional space. In 2-dimensional space the problem is equivalent to computing the smallest wedge of the given angle that contains all the points. We give an O(n2 log n) algorithm for this problem. In 3-dimensional space we study the more restricted problem where one of the planes is known (a datum plane). In this case the problem is equivalent to asking for the smallest width 3-dimensional strip that contains all the points and makes a given angle with the datum plane. We give an O(n log n) algorithm to solve this version. We also show that in the case of uncertainty in the measured points, upperbounds and lowerbounds on the width can be computed in similar time bounds.

3-Dimensional Localization System Based on Extension of Beacon Nodes and Segmentation of Coordinate Space

2014 ◽  
Vol 988 ◽  
pp. 489-497 ◽  
Author(s):  
Dong Myung Lee ◽  
Ho Chul Lee ◽  
Yun Hae Kim
Keyword(s):  
Mobile Node ◽  
Coordinate Space ◽  
Localization Algorithm ◽  
Localization System ◽  
3 Dimensional ◽  
3D Space ◽  
Performance Metric ◽  
3D Localization ◽  
System 2 ◽  
Beacon Node

In this paper, the 3 Dimensional (3D) localization system based on extension of beacon nodes and segmentation of coordinate space is proposed and the performance of the system is analyzed. The main functions in the 3D localization system are 1) the equations for calculating the location coordinates of the 3D localization system by intersection of 3 sphere equations; 2) the extension concept of beacon nodes; 3) the compensation scheme for the 3D localization algorithm; 4) calculation of the location coordinate in selected segmented space. The distance error (Derror) between the beacon and mobile node can be derived and it is used to performance metric for proposed system. It can be inferred that 1) LSCA is more stable and reliable system than LSNOCA, and it can be more useful to the practical localization system; 2) The Derror is the smallest value when the segmented distance of 3D space for the 3D localization system is set to be 1m; 3) The Derror when the height of the beacon node is 1.5m is largely lower than when that is 2.3m.

scholarly journals DeepInterface: Protein-protein interface validation using 3D Convolutional Neural Networks

2019 ◽  
Author(s):  
A.T. Balci ◽  
C. Gumeli ◽  
A. Hakouz ◽  
D. Yuret ◽  
O. Keskin ◽  
...  
Keyword(s):  
Neural Networks ◽  
Convolutional Neural Networks ◽  
Protein Interactions ◽  
Data Bank ◽  
Validation Dataset ◽  
Data Sets ◽  
Protein Protein Interactions ◽  
3 Dimensional ◽  
Almost All ◽  
The Given

AbstractMotivationProtein–protein interactions are crucial in almost all biological processes. Proteins interact through their interfaces. It is important to determine how proteins interact through interfaces to understand protein binding mechanisms and to predict new protein-protein interactions.ResultsWe present DeepInterface, a deep learning based method which predicts, for a given protein complex, if the interface between the proteins of a complex is a true interface or not. The model is a 3-dimensional convolutional neural networks model and the positive datasets are obtained from all complexes in the Protein Data Bank, the negative datasets are the incorrect solutions of the docking decoys. The model analyzes a given interface structure and outputs the probability of the given structure being an interface. The accuracy of the model for several interface data sets, including PIFACE, PPI4DOCK, DOCKGROUND is approximately 88% in the validation dataset and 75% in the test dataset. The method can be used to improve the accuracy of template based PPI predictions.

A classification of (1,1)-positions

2020 ◽  
Vol 29 (07) ◽  
pp. 2050050
Author(s):  
Bo-Hyun Kwon ◽  
Jung Hoon Lee
Keyword(s):  
Equivalence Classes ◽  
Punctured Torus ◽  
The Given

In this paper, we describe the equivalence classes of simple arcs between the two punctures on a 2-punctured torus [Formula: see text] up to isotopy by using the given four generators [Formula: see text] and [Formula: see text]. Actually, we show that a class of simple arcs is represented by an ordered sequence of four integers. Also, we introduce an algorithm to check whether or not an ordered sequence of four integers represents a class of simple arcs in [Formula: see text] We want to point out that this result classifies the [Formula: see text]-positions.

3-Dimensional Numerical Simulation of Tesla Disc Turbines for Industrial Dust Blower

2014 ◽  
Vol 701-702 ◽  
pp. 637-640
Author(s):  
Jin Hu ◽  
Jian Gang Yi
Keyword(s):  
Numerical Simulation ◽  
Fault Diagnosis ◽  
Flow Field ◽  
Boundary Conditions ◽  
Theoretical Research ◽  
Dimensional Model ◽  
3 Dimensional ◽  
Industrial Dust ◽  
The Given

Tesla disc turbine has many advantages compared with the traditional blade turbine, but there are few researches on fault diagnosis of Tesla disc turbines for industrial dust blower. In this paper, 3-dimensional model Tesla turbine is established by using CFD software FLUENT to analyze the inner flow field in the given pressure and boundary conditions. The experiments provide a good foundation for the theoretical research and the application of fault diagnosis of the Tesla disc turbines for industrial dust blower.

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