Computer based method for finding the effect of an element in a domain of N-dimensional function with a provision for N+1 dimensions
First Claim
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1. A computer based method for calculating and finding the values of axis (axes) fraction, total fraction and a number, said method comprising the steps of:
- choosing a N-dimensional vector set having N number of elements;
calculating a first damping factor (D1) for the N number of elements present in the vector set;
adding a new element [Xk, Yk] to the N-dimensional vector set, wherein the properties of the new element on the entire vector set is to be examined;
calculating the sum of the distances [S], from a line or plane or a higher dimension which is assumed to pass through [0, 0.01] and [0.01,0] to all the points of observation [Pi];
S=Σ
Picalculating a second damping factor (D2) for N+1 number of elements present in the vector set;
calculating axis fraction of the added element [Xk, Yk] using the formula;
Axis fraction of the added element [Xk,Yk]=σ
/Xk=σ
/Yk wherein, σ
=D2-D1, is the change of damping factor with the addition of the new element [Xk, Yk ]forming a trapezium using the points [0,D1],[0,D2],[D2,0] and [D1,0], and calculating the area (A) or volume differentiated (V);
calculating total fraction of the new element as S/A or S/V;
calculating
New number=Axis fraction X Total fraction of the element;
and providing the new number as a result of the method.
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Abstract
The method of the present invention quantifies the effect of an element present and absent in the set. This will enable the user to rate this element and place or rank it at the appropriate location. This enables for using ranking algorithms in vector functions too.
24 Citations
10 Claims
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1. A computer based method for calculating and finding the values of axis (axes) fraction, total fraction and a number, said method comprising the steps of:
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choosing a N-dimensional vector set having N number of elements; calculating a first damping factor (D1) for the N number of elements present in the vector set; adding a new element [Xk, Yk] to the N-dimensional vector set, wherein the properties of the new element on the entire vector set is to be examined; calculating the sum of the distances [S], from a line or plane or a higher dimension which is assumed to pass through [0, 0.01] and [0.01,0] to all the points of observation [Pi];
S=Σ
Picalculating a second damping factor (D2) for N+1 number of elements present in the vector set; calculating axis fraction of the added element [Xk, Yk] using the formula;
Axis fraction of the added element [Xk,Yk]=σ
/Xk=σ
/Ykwherein, σ
=D2-D1, is the change of damping factor with the addition of the new element [Xk, Yk ]forming a trapezium using the points [0,D1],[0,D2],[D2,0] and [D1,0], and calculating the area (A) or volume differentiated (V); calculating total fraction of the new element as S/A or S/V; calculating
New number=Axis fraction X Total fraction of the element;and providing the new number as a result of the method. - View Dependent Claims (2, 3, 4, 5, 6, 7, 8, 9, 10)
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Specification