Search results
Results From The WOW.Com Content Network
Parallel plane segments with the same orientation and area corresponding to the same bivector a ∧ b. [1]In mathematics, a bivector or 2-vector is a quantity in exterior algebra or geometric algebra that extends the idea of scalars and vectors.
The definition of a bilinear form can be extended to include modules over a ring, with linear maps replaced by module homomorphisms. When K is the field of complex numbers C , one is often more interested in sesquilinear forms , which are similar to bilinear forms but are conjugate linear in one argument.
In geometry, bisection is the ... If , are the position vectors of two points ,, then its midpoint is : = + and vector is a normal vector of the perpendicular line ...
A complex number can be visually represented as a pair of numbers (a, b) forming a vector on a diagram called an Argand diagram, representing the complex plane. Re is the real axis, Im is the imaginary axis, and i is the "imaginary unit", that satisfies i 2 = −1.
A two-vector or bivector [1] is a tensor of type () and it is the dual of a two-form, meaning that it is a linear functional which maps two-forms to the real numbers (or more generally, to scalars). The tensor product of a pair of vectors is a two-vector. Then, any two-form can be expressed as a linear combination of tensor products of pairs of ...
Let , and be three vector spaces over the same base field.A bilinear map is a function: such that for all , the map (,) is a linear map from to , and for all , the map (,) is a linear map from to .
As Bi.org has reported, “While anyone who experiences both homosexual (same sex) and heterosexual (opposite sex) attractions is bisexual according to the scientific definition, that does not ...
Some r-vectors are scalars (r = 0), vectors (r = 1) and bivectors (r = 2). One may generate a finite-dimensional GA by choosing a unit pseudoscalar (I). The set of all vectors that satisfy = is a vector space. The geometric product of the vectors in this vector space then defines the GA, of which I is a member.