ISSN Author: Ramesh Chandra Bagadi. Affiliation 3: Affiliation 1: Affiliation 2: Founder & Owner Ramesh Bagadi Consulting LLC (R420752),

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1 Bagadi, R. (07). The Recursive Future Ad Past Equatio Based O The Aada-Daaathi Noralized iilarit Measure Cosidered To Exhaustio {Latest Ultiate Correct Versio}. IN PHILICA.COM Article uber 04. htt:// The Recursive Future Ad Past Equatio Based O The Aada-Daaathi Noralized iilarit Measure Cosidered To Exhaustio {Latest Ultiate Correct Versio} IN Author: Raesh Chadra Bagadi Affiliatio : Data cietist Iteratioal chool Of Egieerig (INOFE) d Floor, Jothi Ierial, Vasira Builders, Jaardaa Hills, Above outh Idia hoig Mall, Old Mubai Highwa, Gachibowli, Hderabad, Telagaatate, 50003, Idia. Eail: raesh.bagadi@ise.edu.i Tel: Affiliatio : Fouder & Ower texn Cosultig Private Liited, Gaatriagar, Jilleleguda, Hderabad, Telegaa tate, , Idia. Eail: raeshcbagadi@ uwalui.co Tel: Affiliatio 3: Fouder & Ower Raesh Bagadi Cosultig LLC (R4075), Madiso, Wiscosi-5375, Uited tates Of Aerica. Eail: raeshcbagadi@ uwalui.co Abstract I this research ivestigatio, the author has reseted a Recursive Past Equatio ad a Recursive Future Equatio based o the Aada-Daaathi Noralized iilarit Measure cosidered to Exhaustio [] (lease see the addedu [] as well). The Recursive Future Equatio Give a Tie eries Y,,...,,, 3 we ca fid usig the followig Recursive Future Equatio

2 Bagadi, R. (07). The Recursive Future Ad Past Equatio Based O The Aada-Daaathi Noralized iilarit Measure Cosidered To Exhaustio {Latest Ultiate Correct Versio}. IN PHILICA.COM Article uber 04. htt:// j0 j0 L L j j j j j aller L j j ad ad Lj aller L j j (This will be detailed i the ext sectio) is a Nuber which aes the Differece Residual j 0 to ad L j j ted to Zero. Fro the above Recursive Equatio, we ca solve for Pro:. We cosider ad fid the Aada-Daaathi iilarit [] betwee aller ad as L L arg er ad agai fid the iilarit betwee ad which we refer ad L (this is the Differece Residual First Order). We ow cosider the lac siilarit art, i.e., L ad L ad L ad aller which (the aforeetioed iilarit) we refer to as L L arg er i the Differece Residual ecod Order is L. Ad siilarl, we fid L L aller L arg er aller L arg er L ad L ad L ad L ad, L 3 3 aller Larg er L ad L ad. Note that we rereset the secod idex b,., j which goes fro 0 to. We ow add the all. iilarl, we cosider such ters for to ad coute such aforeetioed quatities ad add the all. We ow Noralize (L Nor), i.e., divide each this value b the quatit j j0 Lj. We equate this value to as the RH is the Total Noralized iilarit cotributio fro each eleet the Tie eries et Y,, 3,...,, with resect to. Note that the iilarit ter corresodig to the Differece Residual Zeroth Order ca be rereseted as L 0 0 which is actuall L itself.

3 Bagadi, R. (07). The Recursive Future Ad Past Equatio Based O The Aada-Daaathi Noralized iilarit Measure Cosidered To Exhaustio {Latest Ultiate Correct Versio}. IN PHILICA.COM Article uber 04. htt:// Defiig Error We defie Error i the followig fashio: For the Recursive Future Equatio: Method Give a Tie eries Y,,...,, we cosider ol,, 3 aforeetioed Recursive Future Equatio to fid the th Y ad use the ter. a this is for the redicted or forecasted value. The, the Error is defied b F Method Give a Tie eries Y,,...,, Future Equatio to fid the, 3 th, 3,..., the stads we cosider it ad use the aforeetioed Recursive ter. a this is the stads for the redicted or Y ad use the forecasted value. We ow cosider the Tie eries et,...,,, 3, aforeetioed Recursive Past Equatio to geerate the ter revious to Error is defied b F The Recursive Past Equatio Give a Tie eries Y,,...,, we ca fid 0, 3 usig the followig Recursive Past Equatio j0 0 j0 L L j j j j j aller L j j ad ad Lj aller L j j j 0 to, i.e., ad is a Nuber which aes the Differece Residual Fro the above Recursive Equatio, we ca solve for 0. L ted to Zero. j j. The, the

4 Bagadi, R. (07). The Recursive Future Ad Past Equatio Based O The Aada-Daaathi Noralized iilarit Measure Cosidered To Exhaustio {Latest Ultiate Correct Versio}. IN PHILICA.COM Article uber 04. htt:// Pro: We cosider ad fid the Aada-Daaathi iilarit [] betwee aller ad to be L Larg er ad ad agai fid the iilarit betwee ad which turs out. We ow cosider the lac siilarit art, i.e., ad (this is the Differece Residual First Order) L which (the aforeetioed iilarit) we refer to as L i the Differece Residual ecod Order is L aller L arg er L ad L ad, L 3 3 aller L arg er L L ad L ad aller L arg er. Ad siilarl, we fid L L ad L ad,., aller L ad. Note that we rereset the secod idex b L L arg er L ad goes fro 0 to. We ow add the all. iilarl, we cosider such ters for to coute such aforeetioed quatities ad add the all. We ow Noralize (L Nor), i.e., divide each this value b the quatit j 0 j0 Lj 0 j which ad. We equate this value to as the RH is the Total Noralized iilarit cotributio fro each eleet the Tie eries et Y 0,,, 3,..., with resect to. Note that the iilarit ter corresodig to the Differece Residual Zeroth Order ca be rereseted as Defiig Error We defie Error i the followig fashio: For the Recursive Past Equatio: Method L 0 0 which is actuall L Give a Tie eries Y,,...,, we cosider ol Y,...,,, 3, 3 itself. ad use the st aforeetioed Recursive Future Past to fid the ter. a this is the the redicted or forecasted value. The, the Error is defied b P Method stads for

5 Bagadi, R. (07). The Recursive Future Ad Past Equatio Based O The Aada-Daaathi Noralized iilarit Measure Cosidered To Exhaustio {Latest Ultiate Correct Versio}. IN PHILICA.COM Article uber 04. htt:// Give a Tie eries Y,,...,, we cosider it ad use the aforeetioed Recursive, 3 Future Equatio to fid the ter revious to. a this is the stads for the redicted or forecasted value. We ow cosider the Tie eries et Y,,, 3 0,..., ad use the aforeetioed Recursive Future Equatio to geerate the ter ext to, i.e.,. The, the Error is defied b F Coutatio Colexit For the World s fastest Jaaeese uer-couter which ca coute Quadrillio Coutatios er secod 5 we ca use the equatio 0 to calculate the Maxiu Nuber Ters the Tie eries for which we wish to redict the th ter ad is the Nuber Of Differece Residual Ters we wish to cosider for each ter, to fid the i oe secod. for a give so that the th ter is couted Furtherore, if we tae 8or0 (beod which the value the Differece Residuals is ear vaishig) ad for differet aouts ties we ca sare for gettig the couted aswer, the Nuber Ters the Tie eries that we ca cosider is give below: erial Nuber Duratio Of Coutatio Nuber Ters To Cosider ecod Miute Hour Da Wee Moth (3 Das) Year

6 Bagadi, R. (07). The Recursive Future Ad Past Equatio Based O The Aada-Daaathi Noralized iilarit Measure Cosidered To Exhaustio {Latest Ultiate Correct Versio}. IN PHILICA.COM Article uber 04. htt:// That is, if the Tie eries et were to cotai uber ters (as show i the table for varig values, ael 8 ad 0, the the Duratio Coutatio is tabulated above. For Forecastig Future Eleet We have uber 6 th Order Poloial Equatios the id as show i equatio A to solve as these accout for all the cases the Tie eries et Eleets beig greater or lesser tha the future eleet to be couted, as these equatios are beig rereseted b the th aforeetioed Recursive Future Equatio. Ol oe aog the is the correct equatio ad this ca be foud b usig this thusl couted th value ad oittig the first eleet Y we redict the eleet the Tie eries et,...,,, 3,, usig usig the aforeetioed Recursive Past Equatio. Ad oe the uber 6 th Order Poloial Equatios the id as show i equatio A which gives the best true value ca be cosidered as the correct equatio ad its future eleet forecast For Forecastig Past (to the First) Eleet as the correct forecast. We have uber 6 th Order Poloial Equatios the id as show i equatio A to solve as these accout for all the cases the Tie eries et Eleets beig greater or lesser tha the ast eleet to be couted, as these equatios are beig rereseted b the aforeetioed Recursive Past Equatio. Ol oe aog the is the correct equatio ad this ca be foud b usig this thusl couted, usig the Tie eries et value ad oittig the latest eleet Y,,, 3,..., we redict the eleet usig the aforeetioed Recursive Future Equatio. Ad oe the uber 6 th Order Poloial Equatios the id as show i equatio A which gives the best true value ca be cosidered as the correct equatio ad its ast eleet forecast Refereces as the correct forecast..bagadi, R. (06). Pro Of As To Wh The Euclidea Ier Product Is A Good Measure Of iilarit Of Two Vectors. PHILICA.COM Article uber 66. ee the Addedu as well. htt://hilica.co/disla_article.h?article_id=66.htt:// 3.htt://hilica.co/advacedsearch.h?author=897