Efficient Orbit Integration by Dual Scaling for Consistency of Kepler Energy and Laplace Integral

2003 ◽  
Vol 126 (5) ◽  
pp. 2567-2573 ◽  
Author(s):  
Toshio Fukushima
Keyword(s):  
Dual Scaling ◽  
Laplace Integral ◽  
Orbit Integration

scholarly journals Birth sites of young stellar associations and recent star formation in a flocculent corrugated disc

2020 ◽  
Vol 499 (4) ◽  
pp. 5623-5640
Author(s):  
Alice C Quillen ◽  
Alex R Pettitt ◽  
Sukanya Chakrabarti ◽  
Yifan Zhang ◽  
Jonathan Gagné ◽  
...  
Keyword(s):  
Space Distribution ◽  
Solar Neighbourhood ◽  
Low Velocity ◽  
Stellar Association ◽  
Stellar Orbits ◽  
Pattern Speeds ◽  
Moving Groups ◽  
Orbit Integration ◽  
Stellar Associations ◽  
Spiral Arm

ABSTRACT With backwards orbit integration, we estimate birth locations of young stellar associations and moving groups identified in the solar neighbourhood that are younger than 70 Myr. The birth locations of most of these stellar associations are at a smaller galactocentric radius than the Sun, implying that their stars moved radially outwards after birth. Exceptions to this rule are the Argus and Octans associations, which formed outside the Sun’s galactocentric radius. Variations in birth heights of the stellar associations suggest that they were born in a filamentary and corrugated disc of molecular clouds, similar to that inferred from the current filamentary molecular cloud distribution and dust extinction maps. Multiple spiral arm features with different but near corotation pattern speeds and at different heights could account for the stellar association birth sites. We find that the young stellar associations are located in between peaks in the radial/tangential (UV) stellar velocity distribution for stars in the solar neighbourhood. This would be expected if they were born in a spiral arm, which perturbs stellar orbits that cross it. In contrast, stellar associations seem to be located near peaks in the vertical phase-space distribution, suggesting that the gas in which stellar associations are born moves vertically together with the low-velocity dispersion disc stars.

Developmental Study of Moral Judgments by Japanese Children

1991 ◽  
Vol 68 (3_suppl) ◽  
pp. 1131-1136
Author(s):  
Hirotsugu Yamauchi
Keyword(s):  
Moral Judgment ◽  
Causal Attribution ◽  
Helping Behavior ◽  
Moral Judgments ◽  
Developmental Study ◽  
Two Dimensional ◽  
Frequency Data ◽  
Japanese Children ◽  
Dual Scaling ◽  
Evaluative Feedback

The purpose of this study was to examine the determinants of causal attribution in the contexts of moral judgment and the developmental shifts of the determinants. Subjects were children in Grades 2, 4, and 6 ( ns = 83, 122, and 84). Moral judgments were measured by asking subjects to provide “evaluative feedback” to an hypothetical child's helping behavior. The method of dual scaling was applied to the frequency data of moral judgments. Two-dimensional solutions show that subjects judged whether the hypothetical child should be rewarded or punished and what amount of reward or punishment was given to the hypothetical child. Developmental shifts were found for moral judgment.

An Application of Dual Scaling in Dialectometry

1989 ◽  
Vol 22 (1) ◽  
pp. 91-95
Author(s):  
Wladyslaw Cichocki
Keyword(s):  
Dual Scaling

scholarly journals Integrated Semigroups on Fréchet Spaces I: Bochner Integral, Laplace Integral and Real Representation Theorems

2019 ◽  
Vol 11 (1) ◽  
pp. 118
Author(s):  
Tiziano Granucci
Keyword(s):  
Functional Space ◽  
Fréchet Spaces ◽  
Bochner Integral ◽  
Representation Theorems ◽  
Real Representation ◽  
Integrated Semigroups ◽  
Laplace Integral ◽  
Vectorial Functions

In this articles we will study the integration of the vectorial functions in Fréchet spaces. Particularly we will introduce and we will study a new functional space and we will prove some theorems of representation.

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