scholarly journals On Seshadri constants and point-curve configurations

2020 ◽  
Vol 28 (2) ◽  
pp. 795-805
Author(s):  
Marek Janasz ◽  
◽  
Piotr Pokora
Keyword(s):  
Seshadri Constants ◽  
Point Curve

scholarly journals Seshadri constants on surfaces with Picard number 1

2016 ◽  
Vol 153 (3-4) ◽  
pp. 535-543
Author(s):  
Krishna Hanumanthu
Keyword(s):  
Picard Number ◽  
Seshadri Constants

Geometric Characteristics of the Center-Point Curve Based on the Kinematics of the Compatibility Linkage

1992 ◽  
Author(s):  
J. A. Schaaf ◽  
J. A. Lammers
Keyword(s):  
Complex Number ◽  
Change Point ◽  
Double Point ◽  
Classification Scheme ◽  
Center Point ◽  
Degenerate Form ◽  
Point Curve ◽  
Position Synthesis ◽  
Point Form

Abstract In this paper we develop a method of characterizing the center-point curves for planar four-position synthesis. We predict the five characteristic shapes of the center-point curve using the kinematic classification of the compatibility linkage obtained from a complex number formulation for planar four-position synthesis. This classification scheme is more extensive than the conventional Grashof and non-Grashof classifications in that the separate classes of change point compatibility linkages are also included. A non-Grashof compatibility linkage generates a unicursal form of the center-point curve; a Grashof compatibility linkage generates a bicursal form; a single change point compatibility linkage generates a double point form; and a double or triple change point compatibility linkage generates a circular-degenerate or a hyperbolic-degenerate form.

scholarly journals Point-Curve Incidences in the Complex Plane

COMBINATORICA ◽  
2017 ◽  
Vol 38 (2) ◽  
pp. 487-499 ◽  
Author(s):  
Adam Sheffer ◽  
Endre Szabó ◽  
Joshua Zahl
Keyword(s):  
Complex Plane ◽  
Point Curve

A Parameterization of the Central Axis Congruence Associated with Four Positions of a Rigid Body in Space

1993 ◽  
Vol 115 (3) ◽  
pp. 547-551 ◽  
Author(s):  
J. M. McCarthy
Keyword(s):  
Rigid Body ◽  
The Body ◽  
Central Axis ◽  
Spatial Mechanisms ◽  
Center Point ◽  
Point Curve ◽  
Screw Surface ◽  
Computer Based

Given four positions of a rigid body in space, there is a congruence of lines that can be used as the central axes of cylindric cranks to guide the body through the four positions. This “central axis congruence” is a generalization of the center point curve of planar kinematics. It is known that this congruence is identical to the screw congruence which arises in the study of complementary screw quadrilateral. It is less well-known that the screw congruence is the “screw surface” of the 4C linkage formed by the complementary screw quadrilateral, and it is this relationship that we use to obtain a parameterization for the screw congruence and in turn, the central axis congruence. This parameterization should facilitate the use of this congruence in computer based design of spatial mechanisms.

Influences of exercise and O2 on breath holding

1962 ◽  
Vol 17 (2) ◽  
pp. 225-227 ◽  
Author(s):  
Albert B. Craig ◽  
Lauro S. Halstead ◽  
Gerhard H. Schmidt ◽  
Brian R. Schnier
Keyword(s):  
Entire Range ◽  
Gas Mixtures ◽  
Breaking Point ◽  
Breath Holding ◽  
Point Curve ◽  
Voluntary Apnea ◽  
Rate Of Accumulation ◽  
Oxygen Concentrations

The PaCOCO2 at the breaking point was found to be higher during exercise than during rest in four subjects. The breaking-point curve during exercise was elevated over the entire range of various oxygen concentrations studied, indicating that whatever the changes produced they are related to the contribution of CO2 to the urge to breathe and are independent of O2. At least part of the elevated PaCOCO2 may be accounted for by an overshoot of PaCOCO2 related to the rate of rise of Pco2. This was shown by increasing the rate of accumulation of CO2 by inhaling different O2-CO2 gas mixtures to simulate the increased CO2 production during exercise. However, certain calculations indicate that this is not the only difference between voluntary apnea during exercise as compared with that during rest. Submitted on June 30, 1961

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