The Function Number Method: Generalization

The Function Number Method: Generalization | Research Square window.SnipcartSettings = { analytics: { enabled: false } }; (function() { var accessVector = localStorage.getItem('access_vector') || ''; window.dataLayer = window.dataLayer || []; if (accessVector) { window.dataLayer.push({ user: { profile: { profileInfo: { snid: accessVector } } } }); } })(); (function(w,d,s,l,i){w[l]=w[l]||[];w[l].push({'gtm.start':new Date().getTime(),event:'gtm.js'});var f=d.getElementsByTagName(s)[0],j=d.createElement(s),dl=l!='dataLayer'?'&l='+l:'';j.async=true;j.src='https://www.googletagmanager.com/gtm.js?id='+i+dl;f.parentNode.insertBefore(j,f);})(window,document,'script','dataLayer','GTM-K279D39R'); Browse Preprints In Review Journals COVID-19 Preprints AJE Video Bytes Research Tools Research Promotion AJE Professional Editing AJE Rubriq About Preprint Platform In Review Editorial Policies Our Team Advisory Board Help Center Sign In Submit a Preprint Cite Share Download PDF Article The Function Number Method: Generalization Marcel Julmard ONGOUMAKA YANDZA, Landry Jean Pierre GOMAT This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-3537760/v1 This work is licensed under a CC BY 4.0 License Status: Posted Version 1 posted You are reading this latest preprint version Abstract Many mathematical methods have been created to solve mathematical problems such as integral calculus, derivatives and differential equations. Among them, there is the Function Number Method (FNM). A Function Number is a real number which represents a variable function in a set. The calculus is done by the application of some properties detailed in the corps of this article. This real number, representing the function, can also be transformed to a variable function. By this way, many mathematical problems are solved easily. The FNM can be used for all orders of the derivatives. In the precedent publication on the FNM, the methodology presented was focused only on the resolution of the derivatives of the first and second orders. To solve the high orders of the derivatives of the functions with many variables, a general method is necessary. So, in this article, the generalization of the FNM is presented. The method will help mathematicians, physicists and many others scientists in their researches. Function Number Differential equations Integral calculus Semi-analytic Method Full Text Additional Declarations No competing interests reported. Cite Share Download PDF Status: Posted Version 1 posted You are reading this latest preprint version Research Square lets you share your work early, gain feedback from the community, and start making changes to your manuscript prior to peer review in a journal. As a division of Research Square Company, we’re committed to making research communication faster, fairer, and more useful. We do this by developing innovative software and high quality services for the global research community. Our growing team is made up of researchers and industry professionals working together to solve the most critical problems facing scientific publishing. Also discoverable on Platform About Our Team In Review Editorial Policies Advisory Board Help Center Resources Author Services Accessibility API Access RSS feed Manage Cookie Preferences © Research Square 2026 | ISSN 2693-5015 (online) Privacy Policy Terms of Service Do Not Sell My Personal Information {"props":{"pageProps":{"initialData":{"identity":"rs-3537760","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Article","associatedPublications":[],"authors":[{"id":246046201,"identity":"e2167f15-6dee-47ba-bed9-6bd4b8482d69","order_by":0,"name":"Marcel Julmard ONGOUMAKA YANDZA","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAABA0lEQVRIiWNgGAWjYBACxgbmBiDFDOYYMDDYgMQaD+DXwoiiJQ0shlcLSAFcCxAcBpN4tTDPSGzd8HOPNYNu+9kHxTx/ztutbT8MtKXGJhqnHTMS2272PEtnMDuTbmDM23Y7eduZRKCWY2m5DXi03OA5cJjB7EAagzFvw+1kswNALYwNh/FqufkHpOX8MwZjnj/nks3OPySs5TbYlhtAW3jYDtiZ3SBkS8/DttsyB9J5zG48YzCc25acYHYDaEsCHr8Yticfu/nmgLWc2fk0NoM3f+zszc6nP3zwocYGtxaoBA8QswGjkiERLJCAQzkIyCOxmR8ACXs8ikfBKBgFo2CEAgDQy2fV7c5DuwAAAABJRU5ErkJggg==","orcid":"","institution":"Marien Ngouabi University","correspondingAuthor":true,"submittingAuthor":false,"prefix":"","firstName":"Marcel","middleName":"Julmard ONGOUMAKA","lastName":"YANDZA","suffix":""},{"id":246046203,"identity":"8b15fb9d-7945-4dba-aed1-6a096269de28","order_by":1,"name":"Landry Jean Pierre GOMAT","email":"","orcid":"","institution":"Marien Ngouabi University","correspondingAuthor":false,"submittingAuthor":false,"prefix":"","firstName":"Landry","middleName":"Jean Pierre","lastName":"GOMAT","suffix":""}],"badges":[],"createdAt":"2023-11-01 18:59:14","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-3537760/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-3537760/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":62300538,"identity":"9722daa3-c946-4c95-b9eb-2d58515682de","added_by":"auto","created_at":"2024-08-12 16:32:19","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":220286,"visible":true,"origin":"","legend":"","description":"","filename":"FNMGeneralizationCorrection.pdf","url":"https://assets-eu.researchsquare.com/files/rs-3537760/v1_covered_d7673736-f479-4962-b563-175f61c8d6bb.pdf"}],"financialInterests":"No competing interests reported.","formattedTitle":"The Function Number Method: Generalization","fulltext":[],"fulltextSource":"","fullText":"","funders":[],"hasAdminPriorityOnWorkflow":false,"hasManuscriptDocX":false,"hasOptedInToPreprint":true,"hasPassedJournalQc":"","hasAnyPriority":false,"hideJournal":true,"highlight":"","institution":"","isAcceptedByJournal":false,"isAuthorSuppliedPdf":true,"isDeskRejected":"","isHiddenFromSearch":false,"isInQc":false,"isInWorkflow":false,"isPdf":true,"isPdfUpToDate":true,"isWithdrawnOrRetracted":false,"journal":{"display":true,"email":"[email protected]","identity":"researchsquare","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":true,"externalIdentity":"","sideBox":"","snPcode":"","submissionUrl":"/submission","title":"Research Square","twitterHandle":"researchsquare","acdcEnabled":true,"dfaEnabled":false,"editorialSystem":"","reportingPortfolio":"","inReviewEnabled":false,"inReviewRevisionsEnabled":true},"keywords":"Function, Number, Differential equations, Integral calculus, Semi-analytic Method","lastPublishedDoi":"10.21203/rs.3.rs-3537760/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-3537760/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"Many mathematical methods have been created to solve mathematical problems such as integral calculus, derivatives and differential equations. 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