Registration of the given vortex in an array of randomly placed singular points

2021 ◽  
Author(s):  
Feodor Kanev ◽  
Nailya A. Makenova ◽  
Igor Veretekhin
Keyword(s):  
Singular Points ◽  
The Given

scholarly journals TEST SIMULATION OF «FINITE ROTATION AND DISPLACEMENT» METHOD BY THE EUROPEAN ROBOTIC ARM PASSING THROUGH THE SINGULAR POINTS

2019 ◽  
pp. 128-138
Author(s):  
А. Данилов ◽  
A. Danilov
Keyword(s):  
Singular Points ◽  
Vector Model ◽  
Robotic Arm ◽  
Structural Constraints ◽  
Finite Rotation ◽  
Displacement Method ◽  
Generalized Coordinates ◽  
Sequential Structure ◽  
Source Data ◽  
The Given

The article consider the test simulation of the «finite rotation and displacement» method (FRDM) when the European Robotic Arm (ERA) manipulator is passing through the singular points. The test simulation confirms the method’s efficiency when passing through singular points and shows how to control the manipulator with various manifestations of the singularity. Depending on the type of singularities manifestation the manipulator is controlled in the vicinity of the singular point by means of small changes in its configuration or by limiting and setting specific values to generalized coordinates at the software and hardware level. The FRDM method is designed to solve the inverse kinematics (IK) for sequential-structure manipulators with an arbitrary number of links connected by fifth-class kinematic pairs. The method is based on determining the exact and optimal iterative steps that provide the maximum approximation to the given parameters of the final link for each degree of mobility. The software has been developed that consists of subprograms for organizing a general solution of the IK and a particular one for a particular manipulator in the form of source data according to the algorithm of the method. The initial data are the vector model of the manipulator, the values of the structural constraints of the generalized coordinates and signs of kinematic pairs by type and class.

scholarly journals XIX. On the conic of five-pointic contact at any point of a plane curve

1859 ◽  
Vol 149 ◽  
pp. 371-400 ◽  
Keyword(s):  
Plane Curve ◽  
Singular Points ◽  
Line Passing ◽  
The Given

The tangent is a line passing through two consecutive points of a plane curve, and we may in like manner consider the conic which passes through five consecutive points of a plane curve; and as there are certain singular points, viz. the points of inflexion, where three consecutive points of the curve lie in a line, so there are singular points where six consecutive points of the curve lie in a conic. In the particular case where the given curve is a cubic, the last-mentioned species of singular points have been considered by Plücker and Steiner, and in the same particular case, the theory of the conic of five-pointic contact has recently been established by Mr. Salmon. But the general case, where the curve is of any order whatever, has not, so far as I am aware, been hitherto considered;— the establishment of this theory is the object of the present memoir. I. Investigation of the Equation of the Conic of Five-pointic Contact . 1. I take (X, Y, Z) as current coordinates, and I represent the equation of the given curve by ϒ = (*)(X, Y, Z) m = 0. Let ( x, y, z ) be the coordinates of a given point on the curve, and let U = (*)( x, y, z ) m be what ϒ becomes when ( x, y, z ) are written in the place of (X, Y, Z); we have therefore U = 0 as a condition satisfied by the coordinates of the point in question.

scholarly journals I. On the conic of five-pointic contact at any point of a plane curve

1859 ◽  
Vol 9 ◽  
pp. 702-703
Keyword(s):  
Plane Curve ◽  
Singular Points ◽  
Line Passing ◽  
The Given

The tangent is a line passing through two consecutive points of a plane curve, and we may in like manner consider the conic which passes through five consecutive points of a plane curve; and as there are certain singular points, viz. the points of inflexion, where three consecutive points of the curve lie in a line, so there are singular points where six consecutive points of the curve lie in a conic. In the particular case where the given curve is a cubic, the last-mentioned species of singular points have been considered by Plücker and Steiner, and in the same particular case, the theory of the conic of five-pointic contact has recently been established by Mr. Salmon. But the general case, where the curve is of any order whatever, has not, so far as I am aware, been hitherto considered;—the establishment of this theory is the object of the present memoir.

scholarly journals Qualitative Theory of Codimension-One Foliations

1973 ◽  
Vol 49 ◽  
pp. 155-229 ◽  
Author(s):  
Kazuo Yamato
Keyword(s):  
Qualitative Theory ◽  
Singular Points ◽  
Topological Properties ◽  
Qualitative Properties ◽  
Variation Equation ◽  
Completely Integrable ◽  
Codimension One ◽  
Integral Manifolds ◽  
The Given

The object of the present paper is to give a method of studying the topological properties of integral manifolds defined by a completely integrable one-form.Our method is differential-topological. Through the singular points of the variation equation of the given one-form, we investigate the qualitative properties of the integral manifolds.

scholarly journals III. On the sextactic points of a plane curve

1864 ◽  
Vol 13 ◽  
pp. 553-555
Keyword(s):  
Singular Point ◽  
Plane Curve ◽  
Singular Points ◽  
Functional Determinant ◽  
Cubic Curve ◽  
The Given

It is, in my memoir "On the Conic of Five-pointic Contact at any Point of a Plane Curve” (Phil. Trans, vol. cxlix. (1859) pp. 371—400), remarked that as in a plane curve there are certain singular points, viz. the points of inflexion, where three consecutive points lie in a line, so there are singular points where six consecutive points of the curve lie in a conic; and such a singular point is there termed a “sextactic point.” The memoir in question (here cited as “former memoir”) contains the theory of the sextactic points of a cubic curve; but it is only recently that I have succeeded in establishing the theory for a curve of the order m . The result arrived at is that the number of sextactic points is = m (12 m —27), the points in question being the intersections of the curve m with a curve of the order 12 m —27, the equation of which is (12 m 2 —54 m + 57) H Jac. (U, H, Ω H ¯ ) + ( m —2) (12 m —27) H Jac. (U, H, Ω U ¯ ) + 40 ( m —2) 2 Jac. (U, H, Ψ ) = 0, where U = 0 is the equation of the given curve m , H is the Hessian or determinant formed with the second differential coefficients ( a, b, c, f, g, h ) of U, and, (A, B, C, F, G, H) being the inverse coefficients (A = bc — f 2, &c.), then Ω = (A, B, C, F, G, H≬∂ x , ∂ y , ∂ z ) 2 H, Ψ = (A, B, C, F, G, H≬∂ x H, ∂ y H, ∂ z H) 2 ; and Jac. denotes the Jacobian or functional determinant, viz.

scholarly journals X. On the sextactic points of a plane curve

1865 ◽  
Vol 155 ◽  
pp. 545-578 ◽  
Keyword(s):  
Singular Point ◽  
Plane Curve ◽  
Singular Points ◽  
Functional Determinant ◽  
Cubic Curve ◽  
The Given

It is, in my memoir “On the Conic of Five-pointic Contact at any point of a Plane Curve”, remarked that as in a plane curve there are certain singular points, viz. the points of inflexion, where three consecutive points lie in a line, so there are singular points where six consecutive points of the curve lie in a conic; and such a singular point is there termed a “sextactic point.” The memoir in question (here cited as “former memoir”) contains the theory of the sextactic points of a cubic curve; but it is only recently that I have succeeded in establishing the theory for a curve of the order m . The result arrived at is that the number of sextactic points is = m (12 m —27), the points in question being the intersections of the curve m with a curve of the order 12 m —27, the equation of which is (12 m 2 —54 m +57)H Jac. (U, H, Ω H ¯ ) +( m —2) (12 m —27)H Jac. (U, H, Ω U ¯ ) +40( m —2) 2 Jac. (U, H, Ψ)=0, where U=0 is the equation of the given curve of the order m , H is the Hessian or determinant formed with the second differential coefficients ( a, b, c, f, g, h ) of U, and, ( A, B, C, F, G, H ) being the inverse coefficients ( A = bc — f 2 , & c .), then Ω = ( A, B, C, F, G, H )(∂ x , ∂ y , ∂ z ) 2 H, ψ = ( A, B, C, F, G, H )(∂ x H, ∂ y H, ∂ z H) 2 ; and Jac. denotes the Jacobian or functional determinant, viz.

Personal Problem Solving of Partners in Divorce Proceedings

2015 ◽  
Vol 36 (1) ◽  
pp. 82-103 ◽  
Author(s):  
Tereza Soukupova ◽  
Petr Goldmann
Keyword(s):  
Gender Differences ◽  
Problem Solving ◽  
Thematic Apperception Test ◽  
Scoring Systems ◽  
Personal Control ◽  
Personality Characteristics ◽  
Personal Problem ◽  
Thematic Apperception ◽  
And Gender ◽  
The Given

Abstract. The Thematic Apperception Test is one of the most frequently administered apperceptive techniques. Formal scoring systems are helpful in evaluating story responses. TAT stories, made by 20 males and 20 females in the situation of legal divorce proceedings, were coded for detection and comparison of their personal problem solving ability. The evaluating instrument utilized was the Personal Problem Solving System-Revised (PPSS-R) as developed by G. F. Ronan. The results indicate that in relation to card 1, men more often than women saw the cause of the problem as removable. With card 6GF, women were more motivated to resolve the given problem than were men, women had a higher personal control and their stories contained more optimism compared to men’s stories. In relation to card 6BM women, more often than men, used emotions generated from the problem to orient themselves within the problem. With card 13MF, the men’s level of stress was less compared to that of the women, and men were more able to plan within the context of problem-solving. Significant differences in the examined groups were found in those cards which depicted significant gender and parental potentials. The TAT can be used to help identify personality characteristics and gender differences.

Binary diagrams of mesomorphous compounds exhibiting singular points

1978 ◽  
Vol 3 ◽  
pp. 381-386 ◽  
Author(s):  
F. Hardouin ◽  
G. Sigaud ◽  
M.-F. Achard ◽  
H. Gasparoux
Keyword(s):  
Singular Points

Pattern Recognition in Histo-Pathology: Basic Considerations

1982 ◽  
Vol 21 (01) ◽  
pp. 15-22 ◽  
Author(s):  
W. Schlegel ◽  
K. Kayser
Keyword(s):  
Pattern Recognition ◽  
Graph Theory ◽  
Normal Tissue ◽  
Diagnostic Procedures ◽  
Minimal Distance ◽  
Malignant Growth ◽  
Colon Tissue ◽  
First Results ◽  
Tissue Structures ◽  
The Given

A basic concept for the automatic diagnosis of histo-pathological specimen is presented. The algorithm is based on tissue structures of the original organ. Low power magnification was used to inspect the specimens. The form of the given tissue structures, e. g. diameter, distance, shape factor and number of neighbours, is measured. Graph theory is applied by using the center of structures as vertices and the shortest connection of neighbours as edges. The algorithm leads to two independent sets of parameters which can be used for diagnostic procedures. First results with colon tissue show significant differences between normal tissue, benign and malignant growth. Polyps form glands that are twice as wide as normal and carcinomatous tissue. Carcinomas can be separated by the minimal distance of the glands formed. First results of pattern recognition using graph theory are discussed.

Coordinating Medical Literature with Patient Care

1977 ◽  
Vol 16 (04) ◽  
pp. 234-240 ◽  
Author(s):  
Joann Gustafson ◽  
J. Nelson ◽  
Ann Buller
Keyword(s):  
Health Care ◽  
Medical Staff ◽  
Medical Information ◽  
Medical Literature ◽  
Medical Information System ◽  
Staff Members ◽  
Information Displays ◽  
Medical Displays ◽  
Computerized Medical Information ◽  
The Given

The contribution of a special library project to a computerized problem-oriented medical information system (PROMIS) is discussed. Medical information displays developed by the PROMIS medical staff are accessible to the health care provider via touch screen cathode terminals. Under PROMIS, members of the library project developed two information services, one concerned with the initial building of the medical displays and the other with the updating of this information. Information from 88 medical journals is disseminated to physicians involved in the building of the medical displays. Articles meeting predetermined selection criteria are abstracted and the abstracts are made available by direct selective dissemination or via a problem-oriented abstract file. The updating service involves comparing the information contained in the selected articles with the computerized medical displays on the given topic. Discrepancies are brought to the attention of PROMIS medical staff members who evaluate the information and make appropriate changes in the displays. Thus a feedback loop is maintained which assures the completeness, accuracy, and currency of the computerized medical information. The development of this library project and its interface with the computerized health care system thus attempts to deal with the problems in the generation, validation, dissemination, and application of medical literature.

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