multivector वाक्य
उदाहरण वाक्य
मोबाइल
- The field multivector, known as the Riemann Silberstein vector, is
- Every multivector can be written as the sum of several-vectors.
- The multivector provides homogeneous coordinates for the line
- He said that Ukraine needed a " multivector " foreign policy that balanced eastern and western interests.
- The concept calls for adherence to a multivector foreign policy and supports regional integration and conflict resolution.
- The maximum grade of a multivector is the dimension of the vector space " V ".
- Notice that substitution of for "'p "'multiplies this multivector by a constant.
- The linearity of the wedge product allows a multivector to be defined as the linear combination of basis multivectors.
- Furthermore, the linear functional version of a multivector that computes this volume is known as a differential form.
- It follows from the definition at the beginning that the outermorphism of a multivector A is grade-preserving:
- Since the geometric product of two even multivectors is an even multivector, they define an " even subalgebra ".
- The relationship between the magnitude of a multivector and the area or volume spanned by the vectors is an important feature in all dimensions.
- Notice that because " V " has dimension two the basis bivector is the only multivector in ? " V ".
- The set of multivectors on a vector space " V " is graded by the number of basis vectors that form a basis multivector.
- In geometric algebra, they can be further generalized to the notions of projection and rejection of a general multivector onto / from any invertible " k "-blade.
- :: : : Geometric algebra is one framework that systematically allows a vector to be divided by another vector, to produce a multivector that contains a scalar and a bivector component.
- A solution is to adopt the " overdot notation ", in which the scope of a geometric derivative with an overdot is the multivector-valued function sharing the same overdot.
- An example of a multivector-valued function of multivectors that is linear but is " not " an outermorphism is grade projection where the grade is nonzero, for example projection onto grade 1:
- There is a general method for rotating a vector involving the formation of a multivector of the form R = e ^ {-\ frac { B \ theta } { 2 } } that produces a rotation \ theta in the plane and with the orientation defined by a 2-blade B.
- Thus, as in the two-dimensional ( complex analysis ) case, the value of an analytic ( monogenic ) function at a point can be found by an integral over the surface surrounding the point, and this is valid not only for scalar functions but vector and general multivector functions as well.
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