Matches in DBpedia 2015-10 for { <http://dbpedia.org/resource/Cartesian_tensor> ?p ?o }
- Cartesian_tensor abstract "In geometry and linear algebra, a Cartesian tensor uses an orthonormal basis to represent a tensor in a Euclidean space in the form of components. Converting a tensor's components from one such basis to another is through an orthogonal transformation.The most familiar coordinate systems are the two-dimensional and three-dimensional Cartesian coordinate systems. Cartesian tensors may be used with any Euclidean space, or more technically, any finite-dimensional vector space over the field of real numbers that has an inner product.Use of Cartesian tensors occurs in physics and engineering, such as with the Cauchy stress tensor and the moment of inertia tensor in rigid body dynamics. Sometimes general curvilinear coordinates are convenient, as in high-deformation continuum mechanics, or even necessary, as in general relativity. While orthonormal bases may be found for some such coordinate systems (e.g. tangent to spherical coordinates), Cartesian tensors may provide considerable simplification for applications in which rotations of rectilinear coordinate axes suffice. The transformation is a passive transformation, since the coordinates are changed and not the physical system.".
- Cartesian_tensor thumbnail Rectangular_coordinate_systems_index_lowered.svg?width=300.
- Cartesian_tensor wikiPageExternalLink An_introduction_to_tensor_analysis_for_e.html?id=PODXAAAAMAAJ&redir_esc=y.
- Cartesian_tensor wikiPageExternalLink books?id=56WqzKbTMtMC&dq=Cartesian+Tensors:+An+Introduction+temple&hl=en&sa=X&ei=2aW0UYkYxIDQBen9gPAI&ved=0CDQQ6AEwAA.
- Cartesian_tensor wikiPageExternalLink v=onepage&q=cartesian%20tensor&f=false.
- Cartesian_tensor wikiPageExternalLink v=onepage&q=cartesian%20tensor&f=false.
- Cartesian_tensor wikiPageExternalLink v=onepage&q=cartesian%20tensor&f=false.
- Cartesian_tensor wikiPageExternalLink v=onepage&q=cartesian%20tensor&f=false.
- Cartesian_tensor wikiPageExternalLink books?id=RO_TMc7ETPEC&dq=cartesian+tensor&source=gbs_navlinks_s.
- Cartesian_tensor wikiPageExternalLink v=onepage&q=cartesian%20tensor&f=false.
- Cartesian_tensor wikiPageExternalLink books?id=oOYIAQAAIAAJ&q=cartesian+tensors&dq=cartesian+tensors&hl=en&sa=X&ei=0jSyUeSaJOyS0QW95YD4DA&ved=0CDkQ6AEwAQ.
- Cartesian_tensor wikiPageExternalLink v=onepage&q=cartesian%20tensor&f=false.
- Cartesian_tensor wikiPageExternalLink appendix_tensors.pdf.
- Cartesian_tensor wikiPageExternalLink nst-mmii-chapter3.pdf.
- Cartesian_tensor wikiPageExternalLink A1_Tensors.pdf.
- Cartesian_tensor wikiPageID "1824845".
- Cartesian_tensor wikiPageLength "64499".
- Cartesian_tensor wikiPageOutDegree "194".
- Cartesian_tensor wikiPageRevisionID "613790052".
- Cartesian_tensor wikiPageWikiLink Active_and_passive_transformation.
- Cartesian_tensor wikiPageWikiLink Angular_momentum.
- Cartesian_tensor wikiPageWikiLink Angular_velocity.
- Cartesian_tensor wikiPageWikiLink Array_data_type.
- Cartesian_tensor wikiPageWikiLink Body_force.
- Cartesian_tensor wikiPageWikiLink Cartesian_coordinate.
- Cartesian_tensor wikiPageWikiLink Cartesian_coordinate_system.
- Cartesian_tensor wikiPageWikiLink Cartesian_coordinates.
- Cartesian_tensor wikiPageWikiLink Category:Applied_mathematics.
- Cartesian_tensor wikiPageWikiLink Category:Linear_algebra.
- Cartesian_tensor wikiPageWikiLink Category:Tensors.
- Cartesian_tensor wikiPageWikiLink Cauchy_stress_tensor.
- Cartesian_tensor wikiPageWikiLink Column_vector.
- Cartesian_tensor wikiPageWikiLink Constitutive_equation.
- Cartesian_tensor wikiPageWikiLink Continuum_mechanics.
- Cartesian_tensor wikiPageWikiLink Coordinate_system.
- Cartesian_tensor wikiPageWikiLink Coordinate_vector.
- Cartesian_tensor wikiPageWikiLink Covariance_and_contravariance_of_vectors.
- Cartesian_tensor wikiPageWikiLink Cross_product.
- Cartesian_tensor wikiPageWikiLink Cube.
- Cartesian_tensor wikiPageWikiLink Curl_(mathematics).
- Cartesian_tensor wikiPageWikiLink Current_density.
- Cartesian_tensor wikiPageWikiLink Curvilinear_coordinates.
- Cartesian_tensor wikiPageWikiLink Cyclic_permutation.
- Cartesian_tensor wikiPageWikiLink Determinant.
- Cartesian_tensor wikiPageWikiLink Diagonal_matrix.
- Cartesian_tensor wikiPageWikiLink Direction_cosine.
- Cartesian_tensor wikiPageWikiLink Directional_derivative.
- Cartesian_tensor wikiPageWikiLink Divergence.
- Cartesian_tensor wikiPageWikiLink Dot_product.
- Cartesian_tensor wikiPageWikiLink Dyadic_tensor.
- Cartesian_tensor wikiPageWikiLink Dyadics.
- Cartesian_tensor wikiPageWikiLink Einstein_notation.
- Cartesian_tensor wikiPageWikiLink Electric_charge.
- Cartesian_tensor wikiPageWikiLink Electric_dipole.
- Cartesian_tensor wikiPageWikiLink Electric_dipole_moment.
- Cartesian_tensor wikiPageWikiLink Electric_field.
- Cartesian_tensor wikiPageWikiLink Electric_susceptibility.
- Cartesian_tensor wikiPageWikiLink Electrical_conductivity.
- Cartesian_tensor wikiPageWikiLink Electrical_resistivity_and_conductivity.
- Cartesian_tensor wikiPageWikiLink Electromagnetic_tensor.
- Cartesian_tensor wikiPageWikiLink Electromagnetism.
- Cartesian_tensor wikiPageWikiLink Engineering.
- Cartesian_tensor wikiPageWikiLink Euclidean_space.
- Cartesian_tensor wikiPageWikiLink Euler_angle.
- Cartesian_tensor wikiPageWikiLink Euler_angles.
- Cartesian_tensor wikiPageWikiLink Exponent.
- Cartesian_tensor wikiPageWikiLink Exponentiation.
- Cartesian_tensor wikiPageWikiLink Field_(mathematics).
- Cartesian_tensor wikiPageWikiLink Flow_velocity.
- Cartesian_tensor wikiPageWikiLink Fluid_mechanics.
- Cartesian_tensor wikiPageWikiLink Function_(mathematics).
- Cartesian_tensor wikiPageWikiLink General_relativity.
- Cartesian_tensor wikiPageWikiLink Geometry.
- Cartesian_tensor wikiPageWikiLink Gradient.
- Cartesian_tensor wikiPageWikiLink Heat_conduction.
- Cartesian_tensor wikiPageWikiLink Identity_matrix.
- Cartesian_tensor wikiPageWikiLink Improper_rotation.
- Cartesian_tensor wikiPageWikiLink Inner_product.
- Cartesian_tensor wikiPageWikiLink Inner_product_space.
- Cartesian_tensor wikiPageWikiLink Inverse_function.
- Cartesian_tensor wikiPageWikiLink Inverse_matrix.
- Cartesian_tensor wikiPageWikiLink Invertible_matrix.
- Cartesian_tensor wikiPageWikiLink Jacobian_matrix.
- Cartesian_tensor wikiPageWikiLink Jacobian_matrix_and_determinant.
- Cartesian_tensor wikiPageWikiLink Kinetic_energy.
- Cartesian_tensor wikiPageWikiLink Kronecker_delta.
- Cartesian_tensor wikiPageWikiLink Laplace_operator.
- Cartesian_tensor wikiPageWikiLink Laplacian_operator.
- Cartesian_tensor wikiPageWikiLink Levi-Civita_symbol.
- Cartesian_tensor wikiPageWikiLink Linear_algebra.
- Cartesian_tensor wikiPageWikiLink Linear_combination.
- Cartesian_tensor wikiPageWikiLink Linear_map.
- Cartesian_tensor wikiPageWikiLink Linear_transformation.
- Cartesian_tensor wikiPageWikiLink Lorentz_force.
- Cartesian_tensor wikiPageWikiLink Magnetic_dipole.
- Cartesian_tensor wikiPageWikiLink Magnetic_field.
- Cartesian_tensor wikiPageWikiLink Magnetic_moment.
- Cartesian_tensor wikiPageWikiLink Magnetic_permeability.
- Cartesian_tensor wikiPageWikiLink Magnetization.
- Cartesian_tensor wikiPageWikiLink Material_derivative.