Results 141 to 150 of about 502,851 (177)
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The Journal of Chemical Physics, 1982
The modification of the absorption, emission, and Raman scattering intensities of molecules near metal surfaces is discussed with emphasis on the last. These modifications are usually referred to as surface selection rules. We show that in Raman scattering, the ‘‘rule,’’ which states that only those modes will be active which belong to the irreducible ...
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The modification of the absorption, emission, and Raman scattering intensities of molecules near metal surfaces is discussed with emphasis on the last. These modifications are usually referred to as surface selection rules. We show that in Raman scattering, the ‘‘rule,’’ which states that only those modes will be active which belong to the irreducible ...
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2011
Although a multitude of directrices can be used for a given ruled surface, there are particular directrices that are worth discussing.
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Although a multitude of directrices can be used for a given ruled surface, there are particular directrices that are worth discussing.
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Ruled singular minimal surfaces
Journal of Geometry and PhysicsThe paper is concerned with the classification of singular minimal surfaces. In the first part the authors give some basic concepts and results of immersed surfaces in Euclidean and Lorentzian spaces. In the second part they study singular minimal surfaces in \(\mathbb{R}^{3}\) and prove that the only ruled singular minimal surfaces in \(\mathbb{R}^{3}\
Muhittin Evren Aydin, Ayla Erdur Kara
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Bulletin de la Classe des sciences, 1955
The author has considered three quadratic forms (i) ƒ = Gaβduaduβ (ii) θ = μaβduaduβ and (iii) Φ — ξaβduaduβ. With the help of these quadratic forms ten distinct families of ruled surfaces have been obtained. The intersection of these ruled surfaces with the surface of reference yields interesting results. Also, some particular cases have been studied.
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The author has considered three quadratic forms (i) ƒ = Gaβduaduβ (ii) θ = μaβduaduβ and (iii) Φ — ξaβduaduβ. With the help of these quadratic forms ten distinct families of ruled surfaces have been obtained. The intersection of these ruled surfaces with the surface of reference yields interesting results. Also, some particular cases have been studied.
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The Dual Expression of Parallel Equidistant Ruled Surfaces in Euclidean 3-Space
Symmetry, 2022Sümeyye Gür Mazlum +2 more
exaly
2018
This chapter completes the proofs of McDuff’s theorems on rational and ruled symplectic 4-manifolds stated in the introduction.
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This chapter completes the proofs of McDuff’s theorems on rational and ruled symplectic 4-manifolds stated in the introduction.
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The Characterizations of Parallel q-Equidistant Ruled Surfaces
Symmetry, 2022Yanlin Li +2 more
exaly
Geometric Algebra of Singular Ruled Surfaces
Advances in Applied Clifford Algebras, 2021Yanlin Li, Zhigang Wang, Tie-Hong Zhao
exaly