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2011, Encyclopedia of mathematics and its applications, ISBN 1107002028, Volume 140, xix, 565
"Real Analysis Through Modern Infinitesimals provides a course on mathematical analysis based on Internal Set Theory (IST... 
Mathematical analysis | Set theory
Book
1987, CWI tract., ISBN 9061963141, Volume 34, iii, 155 p. --
Book
Mathematics (Basel), ISSN 2227-7390, 2019, Volume 7, Issue 8, p. 658
The article is devoted to infinitesimal transformations. We have obtained that LCK-manifolds do not admit nontrivial infinitesimal projective transformations... 
locally conformal Kahler manifold | Lie derivative | MATHEMATICS | Hermitian manifold | Lee form | conformal transformation | diffeomorphism | locally conformal Kähler manifold
Journal Article
Physical review. A, Atomic, molecular, and optical physics, ISSN 1050-2947, 05/2011, Volume 83, Issue 5
.... This distortion is treated as an infinitesimal transformation leading to a first-order differential equation, which we call an infinitesimal propagation equation... 
BEAMS | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | OPTICS | DIFFERENTIAL EQUATIONS | DECAY | ORBITAL ANGULAR MOMENTUM | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | PHOTONS | ATOMIC AND MOLECULAR PHYSICS | EQUATIONS | QUANTUM ENTANGLEMENT | QUANTUM STATES | ELEMENTARY PARTICLES | BOSONS | ANGULAR MOMENTUM | MASSLESS PARTICLES | TURBULENCE | TRANSFORMATIONS
Journal Article
International journal of solids and structures, ISSN 0020-7683, 2009, Volume 46, Issue 25-26, pp. 4261 - 4276
Journal Article
Superlattices and microstructures, ISSN 0749-6036, 09/2017, Volume 109, pp. 330 - 336
...) was derived in the framework of k.p theory using infinitesimal basis transformation approach... 
Infinitesimal basis transformation | Phosphorene | Two-dimensional material | k.p theory | PHYSICS, CONDENSED MATTER | BLACK PHOSPHORUS | Anisotropy | Analysis
Journal Article
Superlattices and microstructures, ISSN 0749-6036, 10/2017, Volume 110, pp. 180 - 190
In this work, we present the study of monolayer MoS2 band structure using k.p method based on infinitesimal basis transformations perturbation theory... 
Spin-orbit coupling | Monolayer MoS2-band structure | k.p method-infinitesimal basis transformations perturbations theory | Two-dimensional material | Transition metal dichalcogenides | Hamiltonian | Monolayer MoS | band structure | PHYSICS, CONDENSED MATTER
Journal Article
Physica. B, Condensed matter, ISSN 0921-4526, 12/2017, Volume 527, pp. 66 - 71
...) based on the group theory and infinitesimal basis transformations approach. We have derived the matrix representation... 
Monolayer MoS2-band structure | k.p method-infinitesimal basis transformations perturbations theory | Two-dimensional material | Transition metal dichalcogenides | Monolayer MoS | band structure | PHYSICS, CONDENSED MATTER | DIODES | QUANTUM DOTS
Journal Article
Applied mathematics and computation, ISSN 0096-3003, 04/2012, Volume 218, Issue 16, pp. 8056 - 8063
...–Legendre collocation formulae. Indeed, in the continuous setting, energy conservation is derived from symplecticity via an infinite number of infinitesimal contact transformations... 
Energy preserving methods | Symplectic methods | Polynomial Hamiltonian | Hamiltonian Boundary Value Methods | HBVMs | Runge–Kutta collocation methods | Runge-Kutta collocation methods | MATHEMATICS, APPLIED | RUNGE-KUTTA METHODS | INVARIANTS | FAMILY | Energy conservation | Methods | Collocation | Mathematical analysis | Continuity | Mathematical models | Transformations | Invariants | Contact | Mathematics - Numerical Analysis
Journal Article
Mathematica Slovaca, ISSN 0139-9918, 12/2016, Volume 66, Issue 6, pp. 1459 - 1474
.... The order of derivatives can be changed and the article is devoted to the higher-order infinitesimal symmetries which provide a simplifying... 
58J99 | higher-order transformations | diffiety | 35A30 | infinitesimal symmetry | standard basis | Primary 54A17 | variation | MATHEMATICS | Research | Symmetry groups | Differential equations, Partial | Mathematical research
Journal Article
Advances in mathematical physics, ISSN 1687-9120, 7/2016, Volume 2016, pp. 1 - 12
... (6) pr ⁡ X L + L D ξ = 0 . If there exists a function V ( x , y ) such that (7) pr ⁡ X L + L D ξ = D V , then the group G is known as an infinitesimal divergence... 
REDUCTIONS | TRACE IDENTITY | SYMMETRIES | INTEGRABLE SYSTEMS | EQUATIONS | HIERARCHIES | CONSERVATION-LAWS | FLOWS | PHYSICS, MATHEMATICAL | HAMILTONIAN-STRUCTURE | Studies | Algebra | Lie groups | Science | Quantum theory | Oscillators | Symmetry
Journal Article
FILOMAT, ISSN 0354-5180, 2019, Volume 33, Issue 4, pp. 1153 - 1157
The paper is devoted to further study of a certain type of infinitesimal transformations of two-dimensional (pseudo... 
infinitesimal rotary transformation | Riemannian space | MATHEMATICS | MATHEMATICS, APPLIED | geodesic | isoperimetric extremal of rotation
Journal Article
1976, Pure and applied mathematics, a series of monographs and textbooks, ISBN 9780126741506, Volume 72., xiii, 326
Book
AIP Conference Proceedings, ISSN 0094-243X, 12/2019, Volume 2183, Issue 1
... infinitesimal transformations on Weyl manifolds and we obtain some results by using the definition of prolonged (extended) Lie derivative. 
Manifolds | Tensors | Transformations
Journal Article
The European physical journal. C, Particles and fields, ISSN 1434-6052, 2013, Volume 73, Issue 12, pp. 1 - 12
.... We show that, for a wide class of geometries, the same results can be obtained using the vector field which produces an infinitesimal coordinate transformation between two physically relevant reference frames, viz... 
Nuclear Physics, Heavy Ions, Hadrons | Measurement Science and Instrumentation | Nuclear Energy | Quantum Field Theories, String Theory | Physics | Elementary Particles, Quantum Field Theory | Astronomy, Astrophysics and Cosmology | BLACK-HOLE EVAPORATION | THERMODYNAMICS | GRAVITATIONAL ACTION | GRAVITY | ENTROPY | PHYSICS, PARTICLES & FIELDS | Frames | Coordinate transformations | Degrees of freedom | Mathematical analysis | Enthalpy | Horizon | Entropy | Fields (mathematics)
Journal Article
Physical Review. A, ISSN 1050-2947, 04/2006, Volume 73, Issue 4
...) on average after any local operation. In this paper we look on LOCC as the set of operations generated by infinitesimal local operations, operations which can be performed locally and which leave the state little changed... 
POLYNOMIALS | MIXED STATE | DATA TRANSMISSION | INFORMATION THEORY | QUANTUM COMPUTERS | ATOMIC AND MOLECULAR PHYSICS | QUANTUM ENTANGLEMENT | ENERGY LEVELS | QUANTUM MECHANICS | TRANSFORMATIONS | QUBITS
Journal Article
Acta mechanica, ISSN 0001-5970, 05/2018, Volume 229, Issue 5, pp. 2041 - 2061
Journal Article
Analele Universitatii "Ovidius" Constanta - Seria Matematica, ISSN 1224-1784, 05/2012, Volume 20, Issue 1, pp. 113 - 128
The present paper deals with the classification of infinitesimal fibre-preserving conformal transformations on the tangent bundle, equipped with the Cheeger... 
Cheeger-Gromoll metric | fibre-preserving vector field | infinitesimal conformal transformation | Fibre-preserving vector field | Infinitesimal conformal transformation | MATHEMATICS | MATHEMATICS, APPLIED | LIFT | TANGENT-BUNDLES | RIEMANNIAN MANIFOLD
Journal Article
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