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bivector वाक्य

"bivector" हिंदी मेंbivector in a sentence
उदाहरण वाक्यमोबाइल
  • The vector, and so the cross product, comes from the product of this bivector with a trivector.
  • The components of the bivector are the projected areas of the parallelogram on each of the three coordinate planes.
  • These bivectors are summed to produce a single, generally non-simple, bivector for the whole rotation.
  • Note that the order is important because between a bivector and a vector the dot product is anti-symmetric.
  • If the electric and magnetic fields in  ! 3 are and then the " electromagnetic bivector " is
  • As a whole it is the electromagnetic tensor expressed more compactly as a bivector, and is used as follows.
  • The bivector magnitude ( denoted by ) is the " signed area ", which is also the determinant.
  • Two bivectors, two of the non-parallel sides of a prism, being added to give a third bivector.
  • It's not fundamentally a vector ( oriented line element ), but an oriented area element ( bivector ).
  • Where is the bivector form of the electromagnetic tensor, is the four-current and is a suitable differential operator.
  • Simple rotations are generated by simple bivectors, with the fixed plane the dual or orthogonal to the plane of the bivector.
  • We will use the symbol " F " to denote either the bivector or the operator, according to context.
  • The set of all such tensors-often called bivectors-forms a vector space of dimension 6, sometimes called bivector space.
  • The product of the bivector with a complex number on the unit circle is then called an " elliptical rotation ".
  • In particular the exponent of a bivector associated with a rotation is a rotation matrix, that is the rotation matrix " M"
  • In other dimensions there are vector-valued products of three or more vectors that satisfy these conditions, and binary products with bivector results.
  • Notice that because " V " has dimension two the basis bivector is the only multivector in ? " V ".
  • In three dimensions bivectors are dual to vectors so the product is equivalent to the cross product, with the bivector instead of its vector dual.
  • In this context of geometric algebra, this bivector is called a pseudovector, and is the " dual " of the cross product.
  • Physical quantities such as angular momentum which can be identified with the magnitude of a bivector have the geometric dimension of " area ".
  • अधिक वाक्य:   1  2  3

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