Probing the (110)-Oriented plane of rutile ZnF2: A DFT investigation

2017 ◽  
Vol 111 ◽  
pp. 63-69 ◽  
Author(s):  
Ali Abbaspour Tamijani ◽  
Elham Ebrahimiaqda
Keyword(s):  
Oriented Plane

On Prime Immersions of S1 into R2

1976 ◽  
Vol 28 (3) ◽  
pp. 589-593
Author(s):  
John R. Martin
Keyword(s):  
Finite Number ◽  
Open Subset ◽  
Double Point ◽  
Dense Open Subset ◽  
Double Points ◽  
Combinatorial Invariant ◽  
Linearly Independent ◽  
Oriented Plane ◽  
Intersection Sequence ◽  
Element Set

A C1-mapping ƒ from the oriented circle S1 into the oriented plane R2 such that f f’ (t) ≠ 0 for all t is called a regular immersion. We call a point p in Im f a double point if f-1(p) is a two element set with the corresponding tangent vectors being linearly independent. A regular immersion which is one-to-one except at a finite number of points whose images are double points is called a normal immersion. The work of Whitney [7], Titus [3] and Verhey [6] shows that the normal immersions form a dense open subset in the space of regular immersions with the usual C1-topology, and can be characterized up to diffeomorphic equivalence by a combinatorial invariant called the intersection sequence.

Estimation of Orientation and Optical Properties of Plane Crystals by Polarization Characteristics of Lidar Returns

2016 ◽  
Vol 685 ◽  
pp. 613-617
Author(s):  
Olga V. Shefer ◽  
Olga V. Rozhneva ◽  
Vitaliy V. Loskutov
Keyword(s):  
Optical Properties ◽  
Iterative Algorithm ◽  
Stokes Parameters ◽  
Physical Optics ◽  
Model Medium ◽  
Space Orientation ◽  
Calculation Technique ◽  
Polarization Characteristics ◽  
Oriented Plane

Under the method of physical optics, there presented a calculation technique of the Stokes parameters ratios to study the polarization characteristics of lidar returns. An ensemble of preferentially oriented plane crystals is considered as a model medium. The iterative algorithm to estimate the optical properties of the particles and its space orientation using the Stokes parameters ratios is presented.

The Visual Discrimination of Bending

Perception ◽  
10.1068/p5641 ◽  
2007 ◽  
Vol 36 (7) ◽  
pp. 980-989 ◽  
Author(s):  
J Farley Norman ◽  
Elizabeth Y Wiesemann ◽  
Hideko F Norman ◽  
M Jett Taylor ◽  
Warren D Craft
Keyword(s):  
Visual Discrimination ◽  
Weber Fraction ◽  
Retinal Images ◽  
Frontoparallel Plane ◽  
Oriented Plane

The sensitivity of observers to nonrigid bending was evaluated in two experiments. In both experiments, observers were required to discriminate on any given trial which of two bending rods was more elastic. In experiment 1, both rods bent within the same oriented plane, and bent either in a frontoparallel plane or bent in depth. In experiment 2, the two rods within any given trial bent in different, randomly chosen orientations in depth. The results of both experiments revealed that human observers are sensitive to, and can reliably detect, relatively small differences in bending (the average Weber fraction across experiments 1 and 2 was 9.0%). The performance of the human observers was compared to that of models that based their elasticity judgments upon either static projected curvature or mean and maximal projected speed. Despite the fact that all of the observers reported compelling 3-D perceptions of bending in depth, their judgments were both qualitatively and quantitatively consistent with the performance of the models. This similarity suggests that relatively straightforward information about the elasticity of simple bending objects is available in projected retinal images.

Prediction of geometry of sonic boom waves incident on arbitrarily oriented plane walls

1970 ◽  
Vol 7 (3) ◽  
pp. 256-260
Author(s):  
BALUSU M. RAO ◽  
GLEN W. ZUMWALT
Keyword(s):  
Sonic Boom ◽  
Oriented Plane

Pupil Distortion in a System with Two Arbitrarily Oriented Plane Gratings

1992 ◽  
Vol 39 (4) ◽  
pp. 737-747 ◽  
Author(s):  
Angela N. Fantino ◽  
J.M. Simon
Keyword(s):  
Oriented Plane

scholarly journals THE INVARIATOR DESIGN: AN UPDATE

2015 ◽  
Vol 34 (3) ◽  
pp. 147 ◽  
Author(s):  
Luis Manuel Cruz-Orive ◽  
Ximo Gual-Arnau
Keyword(s):  
Fixed Point ◽  
Surface Area ◽  
Test Line ◽  
Dimensional Space ◽  
Three Dimensional ◽  
A Posteriori ◽  
Euclidean Spaces ◽  
Oriented Plane ◽  
Three Dimensional Space ◽  
Area And Volume

The invariator is a method to generate a test line within an isotropically oriented plane through a fixed point, in such a way that the test line is effectively motion invariant in three dimensional space. Generalizations exist for non Euclidean spaces. The invariator design is convenient to estimate surface area and volume simultaneously. In recent years a number of new results have appeared which call for an updated survey. We include two new estimators, namely the a posteriori weighting estimator for surface area and volume, and the peak-and-valley formula for surface area.

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