outer product वाक्य
उदाहरण वाक्य
मोबाइल
- The divergence of a higher order tensor field may be found by decomposing the tensor field into a sum of outer products, thereby allowing the use of the identity,
- This product of vectors \ scriptstyle a, \, b produces two terms : a scalar part from the inner product and a bivector part from the outer product.
- In abstract terms, the Euclid formula means that each primitive Pythagorean triple can be written as the outer product with itself of a spinor with integer entries, as in ( ).
- If the function to the left of the dot is " " " ( signifying null ) then the composite function is an outer product, otherwise it is an inner product.
- Even if the boldface dot were an outer product, that would make it a 3 \ times 3 matrix, which, in some sense, is even worse of a description!
- The antisymmetric part is the " exterior product " ( also called the " outer product " ) of the two vectors, the product of the contained exterior algebra:
- The inner product and outer product should not be confused with the interior product and exterior product, which are instead operations on vector fields and differential forms, or more generally on the exterior algebra.
- You find the mean, subtract it, then take the outer product of all of the vectors with themselves to get a 2x2 matrix, take the SVD of that matrix to find the slope of the line.
- If it's the notation that's confusing you, | \ psi _ i \ rangle \ langle \ psi _ i | is the outer product of the vector \ psi _ i with itself.
- T } } is the autocorrelation matrix, simply the outer product of inputs, is the function that diagonalizes a matrix, and is the function that sets all matrix elements on or above the diagonal equal to 0.
- This can be viewed as another way of computing the perpendicular distance from an axis to a point, because the matrix formed by the outer product [ "'R " " " R "'] yields the identify
- Because the unit basis vectors are orthogonal to each other, the geometric product reduces to the antisymmetric outer product \ scriptstyle \ hat x and \ scriptstyle \ hat y can be swapped freely at the cost of a factor of " 1.
- First generate the bivector " B " that is associated with the plane spanned by " a " and " b ", using the outer product from Geometric algebra ( in fact all this is done with Geometric algebra)
- Anything in particular about the eigenvectors or eigenvalues of M ? ( No, the function f is not a multiplicative function, which would have made M into a outer product of two vectors . ) talk ) 23 : 25, 15 January 2010 ( UTC)
- There is no difference between the forward-time and reversed-time states for the outer product contraction, so here they share the same diagram, represented as one line without direction, again labelled by " j " only and not " m ":
- On an inner product space, or more generally a vector space with a nondegenerate form ( so an isomorphism ) vectors can be sent to covectors ( in coordinates, via transpose ), so one can take the inner product and outer product of two vectors, not simply of a vector and a covector.
- In the case when the vectors are in the plane z = 0, this degenerates to the unit vector ( 0, 0, 1 ) times the outer product x _ 0 y _ 1-x _ 1 y _ 0; so that outer product is twice the signed area of the triangle.
- In the case when the vectors are in the plane z = 0, this degenerates to the unit vector ( 0, 0, 1 ) times the outer product x _ 0 y _ 1-x _ 1 y _ 0; so that outer product is twice the signed area of the triangle.
- No indices implies it is a scalar, one implies that it is a vector, etc . Furthermore, any number of new scalars, vectors, etc . can be made by contracting or creating an outer product of any kinds of tensors together, but many of these may not have any real physical meaning.
- The energy associated with an electric quadrupole moment in an electric field depends not on the field strength, but on the electric field gradient, confusingly labelled \ scriptstyle { \ underline { \ underline { q } } }, another rank-2 tensor given by the outer product of the del operator with the electric field vector:
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