10,268 research outputs found
The Faber polynomials for annular sectors and an application to the iterative solution of linear systems of equations
A conformal mapping of the exterior of the unit circle to the exterior of a region of the complex plane determines the Faber polynomials for that region. These polynomials are of interest in providing near-optimal polynomial approximations in a wide variety of contexts. The work of this thesis concerns the Faber polynomials for an annular sector {z : R ≤ |z| ≤ 1,0 ≤ | arg z| ≤ π}, with 0 < 0 < π and is contained in two main parts. In the first part the required conformal map is derived, and the first few Faber polynomials for the annular sector are given in terms of the transfinite diameter, p, of the region and two parameters a and b. These three numbers are determined numerically. We also give the Faber series for 1/z and improve upon a bound given in the literature for the norm of the Faber projection, ||xn||- In the second part of the thesis we give a new hybrid method for the iterative solution of linear systems of equations, Ax = b, where the coefficient matrix, A, is large, sparse, nonsingular and non-Hermitian. The method begins with a few steps of the Arnoldi method to produce some information on the location of the spectrum of A. Our method then switches to an iterative method based on the Faber polynomials for an annular sector placed around these eigenvalue estimates. An annular sector is thought to be a useful region because it can be scaled and rotated to enclose any eigenvalue estimates bounded away from zero. Some examples will be exhibited and we will compare existing methods with ours
A numerical method for the computation of faber polynomials for starlike domains
We describe a simple numerical process (based on the Theodorsen method for conformal mapping ) for computing approximations to Faber polynomials for starlike domains
Als Der Hoch-Wohlgebohrne Herr, Herr Carl von Dießkau, Auf Dießkau, Lochau und Bruckdorf Erbherr, Königl. Preuß. gewesener Geheimbder und Magdeburgischer Regierungs-Rath, Den 19 Octobr. 1721. Sein wohlgeführtes Leben in dem 69 Jahre seines Alters durch einen sanfften und seeligen Tod beschloß, Wolte sein gehorsamstes Beyleid ... bezeugen / Johann Christoff Niemen, K. P. Regierungs-Secretarius im Hertzogthum Magdeburg.
Autopsie nach Exemplar der ULB Sachsen-AnhaltVorlageform des Erscheinungsvermerks: Neustadt Magdeburg, druckts Christian Lebrecht Faber, K. Pr. privil. Buchdr
Dissertatio Solennis De Causis Actionum Et Interdictorum, quaeq[ue] his inserviunt, Petitoriis Et Possessoriis Iudiciis : Cuius Partem Priorem ... Sub Praesidio ... Dn. Friderici Schragii ... in alma Treboccorum Universitate ... Exhibet Gustavus Philippus Faber, Lütz. Auctor. Anno christogonias MDCXC. Die Maii. in Auditorio maiori H.S.
Forts. bildet: Faber, Gustav Philipp: Theses Inaugurales Dissertationis De Causis Actionum Et Interdictorum, quaeq[ue] his inserviunt, Petitoriis Et Possessoriis Iudiciis : Partem Posteriorem Continente
Die Seligkeit der Gerechten
Fingerprint nach Ex. der HAB Wolfenbüttel und der ULB Sachsen-AnhaltVorlageform des Erscheinungsvermerks: Magdeburg, druckts Christian Leberecht Faber, Königl. privil. Buchdr.Stammtaf. (Kupferst.)1Portr. (Kupferst.
Street, P. — The Crab and its Relatives. Faber and Faber, London, 1966
Monod Théodore. Street, P. — The Crab and its Relatives. Faber and Faber, London, 1966. In: La Terre et La Vie, Revue d'Histoire naturelle, tome 20, n°4, 1966. p. 470
Generazione Faber
l programma "Generazione Faber" assegna borse a disoccupati o inoccupati residenti in Sardegna e in possesso di un diploma o di una laurea che desiderino realizzare i propri progetti di sperimentazione avvalendosi del FabLab (Fabrication Laboratory) di Sardegna Ricerche.
I progetti potranno consistere nello sviluppo di un prototipo o di un processo, nella creazione di oggetti di design, in attività di digital fabrication o nel riutilizzo di oggetti di produzione industriale. Potranno inoltre riguardare qualsiasi tematica, ma dovranno necessariamente individuare soluzioni a problemi tecnici o risposte a esigenze realmente avvertite dalla collettività.Finanziamenti::Fondi Sardegna Ricerch
Approximation by -Faber-Laurent rational functions in the weighted Lebesgue spaces
summary:Let be a regular Jordan curve. In this work, the approximation properties of the -Faber-Laurent rational series expansions in the weighted Lebesgue spaces are studied. Under some restrictive conditions upon the weight functions the degree of this approximation by a th integral modulus of continuity in spaces is estimated
The death of William Golding: authorship and creativity in darkness visible and the paper men
In the seventies and eighties William Golding was deeply responsive to the critical, anti-authorial ethos that followed the publication of Roland Barthes's "La mort de I'auteur" (1968). In Darkness Visible (1979) and The Paper Men (1984) he investigates means by which to reaffirm authorial presence. Working through paradox, he performs the authorial death in these novels, and establishes language’s inadequacy as a means of conveying absolute meaning, authorial "vision," truth or revelation. Having done so he nonetheless gestures towards the divine, towards the possibility of a vatic communication. In this manner the novels work upon principles of contradiction and collapse. What remains is a discourse of hope, promise, desire, without means of substantiating such optimism. Thus Golding might be said to have practiced a form of negative theology, and to have anticipated in this respect some recent trends in literary theory
Promissory Notes, Francis H. Ederington and Eberhard Faber to C.L. Frible, P.G. Wall to Francis H. Ederington, August 18, 1866
Two promissory notes; one from Francis H. Ederington and Eberhard Faber to C.L. Frible, and another from P.G. Wall to Francis H. Ederington.https://digitalcommons.usf.edu/snow/1079/thumbnail.jp
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