Search Back to top Filter ResultsLocationThere are no locations to filter byClassificationArticle typeBook or UnitChapterSection or PageN/AN/AAuthorChuck SeveranceTony R. KuphaldtSteven W. EllingsonMaria KeetMike RosulekDavid WhisnantLarry ColemanCarol Critchlow & David J. EckSerhat BeyenirStefan Hugtenburg & Neil Yorke-SmithDavid T. BourgeoisMichael NielsonKenneth Leroy BusbeeLouis ScharfPeter Lars DordalLonny GrafmanHeriberto CabezasBill FreedmanCaralyn Zehnder, Kalina Manoylov, Samuel Mutiti, Christine Mutiti, Allison VandeVoort, & Donna BennettAllen B. DowneyDavid J. EckAndrew MillisonAndreas SchmittnerMichael AdewumiMarijn HaverbekeBill SmythAndrea M. MitofskyWilliam L. Hallauer Jr.C. Sidney BurrusDoITPoMSPeter Woolf et al.Richard Baraniuk et al.Tomasz WierzbickiPatrick McClanahanKamran IqbalJames M. FioreHabib Ahmari and Shah Md Imran KabirBonnie BoardmanCharles W. Kann IIISape A. MiedemaRon McFadyenFrank GranshawSanjoy MahajanSerge Demeyer, Stéphane Ducasse, Oscar NierstraszAlexander KoutamanisMohammed Dahleh, Munther A. Dahleh, and George VergheseJames R. MelcherManolis Kellis et al.Andrew P. Black, Stéphane Ducasse, Oscar Nierstrasz, Damien PolletMichael SteerRené AlderliestenDavid RoylanceHarrison NjorogeR.L. Cerro, B. G. Higgins, S WhitakerNicholas M. Holden, Mary Leigh Wolfe, Jactone Arogo Ogejo, & Enda J. CumminsSeth BlumsackFranz S. Hover & Michael S. TriantafyllouFranz X. KaertnerMarkus ZahnSarma V. PisupatiEric Lehman, F. Thomson Leighton, & Alberty R. MeyerGeoffrey BrooksGodfry JustoDavid DunmeyerMarc BaldoRobert GallagerPaul PenfieldWikibooks - Data StructuresDavid Levinson, Henry Liu, William Garrison, Mark Hickman, Adam Danczyk, Michael Corbett, Brendan Nee. Karen Dixon and her studentsHeather Karsten & Steven VanekRichard ZachJacob Moore & ContributorsPat MorinMichael MendezEd JorgensenJames KirtleyMasayuki Yano, James Douglass Penn, George Konidaris, & Anthony T PateraHarold Abelson, Gerald Sussman & Julie SussmanTroy SiemersAlexandre Bergel, Damien Cassou, Stéphane Ducasse, Jannik LavalJames K. RobergeJerome H. Saltzer & M. Frans KaashoekAdrienne WattNikolaus CorrellDaniel W. Baker and William HaynesJames F. MarchmanHilal Ezgi ToramanRalph Morelli & Ralph WadeJames LiburdyManuel Soler ArnedoDonald E. RichardsMonica Lamm and Laura JarboeStephen DaviesStéphane Ducasse, Dmitri Zagidulin, Nicolai Hess, & Dimitris ChloupisFelix UdoeyoKristine MillerGenick Bar-MeirDon JohnsonThomas P. DoverCarey SmithBill WilsonIan WienandAtefe MakhmalbafClaire Yu YanEric Raymond JohnsonSwaroop CHAl SweigartAndrew K. Bolstad & Julie A. DickersonWikibooksJoshua P. SteimelJonathan Verret; Rosie Qiao; and Rana A. BarghoutJacqulyn A. BaughmanPeter G. SteenekenJesse RobertsHilmi Luş and Sinan KetenRamki KalyanaramanSet as Cover Page of BookyesTOC OnlyCompile but don't publishLicensePublic DomainCC BYCC BY-SACC BY-NC-SACC BY-NDCC BY-NC-NDGNU GPLGNU Design Science LicenseAll Rights ReservedCC BY-NCGNU FDLShow TOCyesnoTranscludedyesOER program or PublisherCollege of the Canyons - Zero Textbook Cost ProgramASCCC OERI ProgramCK-12OpenStaxGALILEOOpenSUNYMIT OpenCourseWareVirginia Tech Libraries' Open Education InitiativeThe Publisher Who Must Not Be NamedeCampusOntarioWAC ClearinghouseBC CampusLumenOpen OregonOpenStax CNXPDXOpenEvergreen Valley CollegeAutonumber Section Headingstitle with space delimiterstitle with colon delimiterstitle with dash delimitersLicense Version1.02.02.53.04.01.3Print CSSDefaultDenseInclude attachmentsContent TypeDocumentImageOther Searching inAll resultsAbout 1 results3.3: Polynomial Interpolationhttps://eng.libretexts.org/Under_Construction/Book%3A_The_Joy_of_Cryptography_(Rosulek)/04%3A_Secret_Sharing/4.03%3A_Polynomial_Interpolation\[\begin{aligned} &\ell_{1}(\boldsymbol{x})=\frac{\left(\boldsymbol{x}-x_{2}\right)\left(\boldsymbol{x}-x_{3}\right)\left(\boldsymbol{x}-x_{4}\right)}{\left(x_{1}-x_{2}\right)\left(x_{1}-x_{3}\right)\...\[\begin{aligned} &\ell_{1}(\boldsymbol{x})=\frac{\left(\boldsymbol{x}-x_{2}\right)\left(\boldsymbol{x}-x_{3}\right)\left(\boldsymbol{x}-x_{4}\right)}{\left(x_{1}-x_{2}\right)\left(x_{1}-x_{3}\right)\left(x_{1}-x_{4}\right)}=\frac{(\boldsymbol{x}-4)(\boldsymbol{x}-5)(\boldsymbol{x}-2)}{(3-4)(3-5)(3-2)}=\frac{\boldsymbol{x}^{3}-11 \boldsymbol{x}^{2}+38 \boldsymbol{x}-40}{2} \\ &\ell_{2}(\boldsymbol{x})=\frac{\left(\boldsymbol{x}-x_{1}\right)\left(\boldsymbol{x}-x_{3}\right)\left(\boldsymbol{x}-x…MoreShow more results
