scalar multiplication in a sentence

Examples

1. A scalar product operation  not to be confused with scalar multiplication  may be defined on a vector space, allowing two vectors to be multiplied to produce a scalar.
2. If the essential matrix is considered as a projective element, however, one degree of freedom related to scalar multiplication must be subtracted leaving five degrees of freedom in total.
3. Reflection through the origin is an orthogonal transformation corresponding to scalar multiplication by-1, and can also be written as-I, where I is the identity matrix.
4. When measurable quantities are raised to a rational power, the same is done to the dimensional symbols attached to those quantities; this corresponds to scalar multiplication in the vector space.
5. If one allows only scalar multiplication, not addition, one obtains a ( not necessarily convex ) cone; one often restricts the definition to only allowing multiplication by positive scalars.
6. In mathematics, "'scalar multiplication "'is one of the basic operations defining a vector space in linear algebra ( or more generally, a scales vectors.
7. The divide and conquer algorithm computes the smaller multiplications recursively, using the scalar multiplication " a " 11 " b " 11 } } as its base case.
8. The basic operations of vector addition and scalar multiplication are a generating set for the operad of all linear combinations, while the linear combinations operad canonically encodes all possible operations on a vector space.
9. where \ mathbf { C } is the camera matrix and the \, \ sim sign implies that the left and right hand sides are equal up to a non-zero scalar multiplication.
10. The scalar multiplication \ bar { q } ( x, y ) can be done either by double-and-add methods or by using the \ bar { q } th division polynomial.