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The differential geometry of elementary point and line defects in Bravais crystals

International Journal of Theoretical Physics, 1990
Since line defects (dislocations) and point defects (vacancies, self-interstitials, point stacking faults) in Bravais crystals can mutually convert, only theories which comprise these two sorts of defects can be closed in the sense of general field theory.
E Kroner
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THE GEOMETRY OF QUADRATIC POLYNOMIAL DIFFERENTIAL SYSTEMS WITH A WEAK FOCUS AND AN INVARIANT STRAIGHT LINE

International Journal of Bifurcation and Chaos, 2010
Planar quadratic differential systems occur in many areas of applied mathematics. Although more than a thousand papers were written on these systems, a complete understanding of this family is still missing. Classical problems, and in particular, Hilbert's 16th problem [Hilbert, 1900, 1902], are still open for this family.
Joan C. Artés   +2 more
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Suppression of Mode Conversion Due to Asymmetric Geometry of Dense Parallel Traces in Differential-Transmission Lines

2020 International Symposium on Electromagnetic Compatibility - EMC EUROPE, 2020
Symmetry is important for differential-transmission lines, but the dense parallel traces easily break the symmetry due to coupling with the adjacent conductor, leading to mode conversion. We propose an asymmetric geometry of differential-transmission lines placed on the side of a nonadjacent conductor to suppress mode conversion and maintain signal ...
Tomoya Takeuchi   +2 more
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Differential geometry of families of lines and surfaces

Journal of Soviet Mathematics, 1974
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Kinematic differential geometry of a rigid body in spatial motion—III. Distribution of characteristic lines in the moving body in spatial motion

Mechanism and Machine Theory, 1997
Based on the results of Parts I and II, the kinematic conditions for the moving body to be connected with a binary link by a kinematic pair are discussed and described by the geometrical properties of the line trajectory and the constraint ruled surface.
De Lun Wang, Jian Liu, Da Zhun Xiao
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Scale Dependent Differential Geometry for the Measurement of Center Line and Diameter in 3D Curvilinear Structures

2000
We introduce a 3D tracing method based on differential geometry in Gaussian blurred images. The line point detection part of the tracing method starts with calculation of the line direction from the eigenvectors of the Hessian matrix. The sub-voxel center line position is estimated from a second order Taylor approximation of the 2D intensity profile ...
Streekstra, G.J.   +2 more
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DIFFERENTIAL EQUATIONS OF THE DEVICE SHELL WITH ARBITRARY GEOMETRY OF THE MERIDIAN LINE

Naukovì Dopovìdì Nacìonalʹnogo Unìversitetu Bìoresursiv ì Prirodokoristuvannâ Ukraïni
The theory describes the shell part of the apparatus as a surface with an arbitrary geometric outline and general acting factors. A mathematical model is constructed, and boundary conditions are formulated to determine the coordinate deformation functions of the shell part under any external disturbances.
V. M. Mel’nick   +4 more
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