Titlebook: Applications of Geometric Algebra in Computer Science and Engineering; Leo Dorst,Chris Doran,Joan Lasenby Book 2002 Springer Science+Busin

不妥協(xié)

Symbolic Processing of Clifford Numbers in C++nsion of the program SymbolicC++ by Tan and Steeb and follows their methods of supporting a class through template classes. Classes have been written and tested including Clifford(2), Clifford (3) and Clifford(2,2). The classes can also be accessed from within an interpreted language, Tcl, via an interface program.

燦爛

prick-test

ELATE

Uncultured

Annihilators of Principal Ideals in the Grassmann Algebra lattices of left and right ideals of . satisfying(a) Ann.(.. + ..) = ..(..) ? ..(..),..(.. ? ..) = ..(..) + ..(..)(b) ..(.. + ..) = ..(..) ? ..(..),..(.. ? ..) = ..(..) + ..(..)(c) ..(..(.)) = .and..(..(.)) = ..(For example see [2].)

不合

Unification of Grassmann’s Progressive and Regressive Products using the Principle of Dualityidies up the theory by invoking the principle of duality to put points and hyperplanes on an equal footing and then shows that the theory has just a single antisymmetric product which evaluates to give the same results as Whitehead’s progressive and regressive products.

CHARM

From Unoriented Subspaces to Blade Operatorsn technique (a LIFT to a different metric) is presented that makes solutions of some problems translatable from one metric to another. In particular this makes the meet and join computable regardless of incidence properties and even in degenerate metrics.

linear

A Multivector Data Structure for Differential Forms and Equationsrdinate control element (usually cubical or simplicial). The combinatorics of the starplex matches exactly the combinatorial structure of the multivector: every oriented k-cell in the starplex corresponds to some basis K-vector.

路標(biāo)

Imaginary Eigenvalues and Complex Eigenvectors Explained by Real Geometryd as rotation operators, which rotate the underlying vector duplets. The second part of this paper extends and generalizes the treatment to three dimensions. Finally the four-dimensional problem is stated.

乳汁