Home Site Statistics  |   Contact  |   About Us       Sunday, April 18, 2021   

j0182018 - Back to Home



Skip Navigation Links.

   Skip Navigation LinksHOME ›  AREAS OF EXPERTISE ›   Vectors / Matrices ›  ~ In Smalltalk




A Note On Vectors...

A vector is an object in a multidimensional space. It is represented by its components measured on a reference system. A reference system is a series of vectors from which the entire space can be generated.

A commonly used mathematical notation for a vector is a lowercase bold letter – v, for example. So, if the set of vectors u1,...,un is a reference system for a space with n dimensions, then any vector of the space can be written as,

          v = v1u1 + ··· + vnun,

where v1,…,vn are real numbers in the case of a real space. These numbers are called the components of a vector.

and Matrices...

A matrix is a linear operator over vectors from one space to vectors in another space not necessarily of the same dimension. This means that the application of a matrix on a vector is another vector. Matrix is commonly represented with an uppercase bold letter – M, for example. The application of the matrix M on the vector V is denoted by M • v. The fact that a matrix is a linear operator means that

          M • (αu + βv) = αM • u + βM • v,

for any matrix M, any vectors u and v, and any numbers α and β.







Other Applications


Object-Oriented Implementation
Graphics and Animation
Sample Applications
Ore Extraction Optimization
Vectors and Matrices
Complex Numbers and Functions
Ordinary Differential Equations - Euler Method
Ordinary Differential Equations 2nd-Order Runge-Kutta
Ordinary Differential Equations 4th-Order Runge-Kutta
Higher Order Differential Equations
Nonlinear Systems







Consulting Services - Back to Home
Home

Home Math, Analysis,
  expertise..."

EIGENVALUE SOLUTIONS...
Eigen Inverse Iteration
Rayleigh-Quotient Method
Cubic Spline Method

 

Applied Mathematical Algorithms

Home A complex number z = x + iy, where...

Complex Functions
Home Non-linear system methods...

Non Linear Systems
Home Construction of differentiation...

Differentiation
Home Consider the function where...

Integration
 
About Us

KMP Engineering is an independent multidisciplinary engineering consulting company specializing in mathematical algorithms.

  ABOUT
  SITE STATISTICS
Contact Us

KMP ENGINEERING
2461 E Orangethorpe Ave Fullerton, CA 92631 USA info@keystoneminingpost.com
Site Map

   Home
   Areas of Expertise
   Reference Items
   Managed Services
   Login

Mining & Software Engineering

Home
Since 2006 All Rights Reserved  © KMP Engineering LINKS | PRIVACY POLICY | LEGAL NOTICE