Computer based method for finding the effect of an element in a domain of N-dimensional function with a provision for N‘dimensions

• US 20060072812A1
• Filed: 09/15/2004
• Published: 04/06/2006
• Est. Priority Date: 09/15/2004
• Status: Active Grant

• Current Assignee: Council of Scientific & Industrial Research
• Original Assignee: Council of Scientific & Industrial Research
• Inventors: Lakshminarayana, Sadasivuni
• Granted Patent: US 7,328,136 B2
• Time in Patent Office: Days
• US Class Current: 382/160
• CPC Class Codes: G06F 16/951 Indexing; Web crawling techniques
• CPC Class Codes: G06F 16/9532 Query formulation
• CPC Class Codes: G06F 16/9538 Presentation of query results
• CPC Class Codes: Y10S 707/99936 Pattern matching access

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.

Claims

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:

(a) choosing a N-dimensional vector set having N number of elements;

(b) calculating a first damping factor (D1) for the N number of elements present in the vector set;

(c) adding a new element [X_k, Y_k] to the N-dimensional vector set, wherein the properties of the new element on the entire vector set is to be examined;

(d) 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 [P_i];

S=Σ

P_i

(e) calculating a second damping factor (D2) for N+1 number of elements present in the vector set;

(f) calculating axis fraction of the added element [X_k, Y_k] using the formula;

Axis fraction of the added element [X_k, Y_k]=σ

/X_k+σ

/Y_k

 

wherein, σ

=D2−

D1, is the change of damping factor with the addition of the new element [X_k, Y_k].

(g) forming a trapezium using the points [0, D1], [0, D2], [D2, 0] and [D1, 0], and calculating the area (A) or volume differentiated (V);

(h) calculating total fraction of the new element as S/A or S/V; and

(i) calculating the new number as;

New number=Axis fraction×

Total fraction of the element.

2. A computer based method as claimed in claim 1, wherein step (a) includes identifying the elements in the set, assigning values to each elements in the set and normalizing all the axes to a common range.

3. A computer based method as claimed in claim 2, wherein assigning includes identifying the parameters by any process, mechanism or algorithm and processing through this method.

4. A computer based method as claimed in claim 2, wherein assigning includes identifying the parameters for the elements that are available in any domain, living or non-living or any machine based elements of a functionally grouped and ordering them through this method.

5. A computer based method as claimed in claim 2, wherein assigning includes processing of grouped elements, compressed elements, automatic or manually generated elements and thereafter processing the said elements for ranking mechanism.

6. A computer based method as claimed in claim 2, wherein assigning includes ranking of functions derived from diagrams, bars, pictures, movies, graphical, text, listings, directories, bookmarks or any elements that depend on a N-dimensional function with or without a provision for N+1 dimensions for the purpose of ranking.

7. A computer based method as claimed in claim 2, wherein assigning includes all functions that are dependent on a finite number of parameters that could be computed or generated automatically or found statically and thereafter ranked through this method.

8. A computer based method as claimed in claim 1 wherein in step (c), the new element is added to the vector set after normalization.

9. A computer based method as claimed in claim 1 wherein the first and the second damping factors (D1 &

D2) are iteratively increased until the sum of the distances [S] becomes zero.

10. A computer based method as claimed in claim 1 wherein the first and the second damping factors (D1 &

D2) are obtained for a set of k points of the result set.