multivectors造句
造句與例句
手機(jī)版
- The grading of multivectors is independent of the orthogonal basis chosen originally.
- In geometric algebra ( GA ) these are multivectors.
- Is the vector space of formal sums of " k "-multivectors.
- Multivectors play a central role in the mathematical formulation of physics known as geometric algebra.
- The elements of UGA are called multivectors.
- The linearity of the wedge product allows a multivector to be defined as the linear combination of basis multivectors.
- The set of multivectors constructed using Clifford's product yields an associative algebra known as a Clifford algebra.
- The function f ( \ vec r ) can, in principle, be composed of any combination of multivectors.
- Since the geometric product of two even multivectors is an even multivector, they define an " even subalgebra ".
- Just as linear algebra is built on the concept of a " p "-vectors and multivectors with Grassmann algebra.
- It's difficult to see multivectors in a sentence. 用multivectors造句挺難的
- The set of multivectors on a vector space " V " is graded by the number of basis vectors that form a basis multivector.
- Multivectors in the span of \ { e _ ie _ j \ mid 1 \ leq i are grade-2 blades and are the bivectors.
- By contrast, the exterior product ( and geometric product ) is defined uniformly for all dimensions and signatures, and multivectors are closed under these operations.
- However, though as multivectors rotors also transform double-sidedly, rotors can be combined and form a group, and so multiple rotors compose single-sidedly.
- Nonzero multivectors that are in the span of \ { e _ 1, \ ldots, e _ n \ } are grade-1 blades and are the ordinary vectors.
- 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:
- In order to obtain the Plucker coordinates of the line " ? ", map the multivectors " ? " and " ? " to their dual point coordinates using the Hodge star operator,
- In geometric algebra the basic objects are multivectors ( scalars are 0-vectors, vectors are 1-vectors, etc . ), and the operations include the Clifford product ( here called " geometric product " ) and the exterior product.
- Blades are important since geometric operations such as projections, rotations and reflections depend on the factorability via the exterior product that ( the restricted class of ) " n "-blades provide but that ( the generalized class of ) grade-" n " multivectors do not when.
- A line " ? " in projective space can also be defined as the set of points "'x "'that form the intersection of two planes " ? " and " ? " defined by grade three multivectors, so the points "'x "'are the solutions to the linear equations
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