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Geometric Algebra and Singularities arising in Differential Line Geometry (Local and global study of singularity theory of differentiable maps)

Geometric Algebra and Singularities arising in Differential Line Geometry (Local and global study of singularity theory of differentiable maps)
This is a digest report of [12, 13]; we give an elementary characterization of local diffeomorphic types of singular ruled/developable surfaces in mathbb{R}^{3} and their bifurcations by using dual quaternions and mathcal{A}-classification theory of map-germs. Maps and manifolds are of class C^{infty} throughout.
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Optical Selection of Rotational and Parity-Resolved States for Rotationally Inelastic Scattering: NO(X²Π_1/2, <i>v</i> = 1, <i>j</i> = 1.5<i>e</i>) with Ar and CH₄. [PDF]

J Phys Chem A
Fournier M, Cameron RG, McKendrick KG, Costen ML.   +3 more
europepmc   +1 more source

Czechoslovak contribution to the differential geometry of congruences of lines and survaces with conjugated net [PDF]

Časopis pro pěstování matematiky, 1960
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Differential geometry-based harmonic analysis of three-phase systems. [PDF]

Sci Rep
Sundriyal N, Thakur P, Dixit A, Gupta S, Kumar M.   +4 more
europepmc   +1 more source

Transient Electronic Polarizability of β-Carotene from Ultrafast Terahertz Stark Spectroscopy. [PDF]

J Phys Chem Lett
Zhang J, Jaschke C, Fingerhut BP, Elsaesser T.   +3 more
europepmc   +1 more source

Erratum: Transfer of Line Radiation in Differentially Expanding Atmospheres.IV. The Two-Level Atom in Plane-Parallel Geometry Solved by the Feautrier Method .

The Astrophysical Journal, 1976
P. D. Noerdlinger, G. B. Rybieki
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Evolutions of partner-ruled surfaces with simultaneous inextensibility conditions. [PDF]

PLoS One
Eren K, Ersoy S, Khan MNI.
europepmc   +1 more source

On the differential geometry of the $n$-dimensional sphere and line manifolds in the $(n+1)$-dimensional Euclidean space [PDF]

Mathematica Bohemica, 1991
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The differential geometry of manifolds of $n$-dimensional balls and manifolds of straight lines in $n+1$-dimensional Euclidean space [PDF]

Časopis pro pěstování matematiky, 1989
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Electrical Step-Edge Contact to a Topological Superconductor Candidate 2M-WS₂. [PDF]

Adv Sci (Weinh)
Gan Q, Song J, Guo H, Fang Y, Li X, Gao H, Li Y, An D, Zhu Y, He Y, Watanabe K, Taniguchi T, Guo Y, Zhang Q, Gu L, Rhodes DA, Liu Z, Xian L, Huang F, Wang L.   +19 more
europepmc   +1 more source