StandardAlgebra.java 

// FILE. . . . . d:/hak/hlt/src/hlt/math/matrix/sources/StandardAlgebra.java
// EDIT BY . . . Hassan Ait-Kaci
// ON MACHINE. . Hak-Laptop
// STARTED ON. . Tue Dec  3 17:40:58 2019

package hlt.math.matrix;
package hlt.math.matrix documentation listing
This is a concrete subclass of NumberAlgebra redefining its operations as those of standard arithmetic to be final methods:

  • zero() ≝ 0.0
  • one() ≝ 1.0
  • sum(x,y) ≝ x+y
  • product(x,y) ≝ *
  • negation(x) ≝ -x
  • difference(x,y) ≝ x-y

See also:  NumberAlgebra, Matrix
Copyy:  © by the author
Author:  Hassan Aït-Kaci
Version:  Last modified on Fri Dec 13 10:01:27 2019 by hak 

public class StandardAlgebra extends NumberAlgebra
{
Return the zero of this algebra as 0.0. It should always verify sum(x,zero()) = sum(zero(),x) = x, for any double x. 

  public final double zero ()
  {
    return 0.0;
  }
Return the one of this algebra as 1.0. It should always verify product(x,one()) = product(one(),x) = x, for any double 

  public final double one ()
  {
    return 1.0;
  }
Return the sum of the arguments as +. 

  public final double sum (double x, double y)
  {
    return x + y;	
  }
Return the product of the arguments as ×. 

  public final double product (double x, double y)
  {
    return x * y;	
  }
Return the difference of the arguments as binary -. 

  public final double difference (double x, double y)
  {
    return x - y;	
  }
Return the negation of the argument as unary -. 

  public final double negation (double x)
  {
    return -x;
  }
Define a String form for this StandardAlgebra. It is final so it cannot be redefined in any subclass. 

  public final String toString ()
  {
    return "Standard Algebra";
  }

}

This file was generated on Wed Dec 18 03:37:41 PST 2019 from file StandardAlgebra.java
by the hlt.language.tools.Hilite Java tool written by Hassan Aït-Kaci