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exponential map वाक्य

"exponential map" हिंदी मेंexponential map in a sentence
उदाहरण वाक्यमोबाइल
  • For full detail, see exponential map SO ( 3 ).
  • It follows that the exponential map is compact subsets of.
  • Skew symmetric matrices generate orthogonal matrices with determinant 1 through the exponential map.
  • This can generate a exponential map, which can be used to rotate an object.
  • It the case of the Lorentz group, the exponential map is just the matrix exponential.
  • That this gives a one-parameter subgroup follows directly from properties of the exponential map.
  • A somewhat different way to think of the one-point compactification is via the exponential map.
  • Up to this exponential map, the global Cartan decomposition is the polar decomposition of a matrix.
  • Furthermore, your suggestion that the exponential map should point to this isomorphism also sounds eminently reasonable.
  • Thus the exponential map is a diffeomorphism from \ mathfrak { p } onto the space of positive definite matrices.
  • An affine connection is called complete if the exponential map is well-defined at every point of the tangent bundle.
  • Much of what is known about tetration comes from general knowledge of complex dynamics and specific research of the exponential map.
  • Completeness here is understood in the sense that the exponential map is defined on the whole tangent space of a point.
  • The exponential map provides a diffeomorphism between a neighborhood of the origin in the and a neighborhood of the identity in the.
  • Given a Lie group, a Lie algebra can be associated to it either by endowing the tangent space to the exponential map.
  • We can solve both problems using a more abstract definition of the exponential map that works for all Lie groups, as follows.
  • In other words, the Rodrigues'formula provides an algorithm to compute the exponential map from to without computing the full matrix exponential.
  • However the logarithm of a symplectic matrix is not necessarily Hamiltonian because the exponential map from the Lie algebra to the group is not surjective.
  • Bivectors are related to rotors through the exponential map ( which applied to bivectors generates rotors and rotations using De Moivre's formula ).
  • The universal cover group above can be constructed as the image of the Lie algebra under the compact, the exponential map need not be surjective.
  • अधिक वाक्य:   1  2  3

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