1,893 research outputs found
On the conceptual feasibility of a CAAD-CAAI integrated decision support system: A computer aided environment for technical decision-making in architecture
Architectur
Canonical forms for families of anti-commuting diagonalizable linear operators
AbstractIt is well known that a commuting family of diagonalizable linear operators on a finite dimensional vector space is simultaneously diagonalizable. In this paper, we consider a family A={Aa}, Aa:V→V, a=1,…,N of anti-commuting (complex) linear operators on a finite dimensional vector space. We prove that if the family is diagonalizable over the complex numbers, then V has an A-invariant direct sum decomposition into subspaces Vα such that the restriction of the family A to Vα is a representation of a Clifford algebra. Thus unlike the families of commuting diagonalizable operators, diagonalizable anti-commuting families cannot be simultaneously digonalized, but on each subspace, they can be put simultaneously to (nonunique) canonical forms. The construction of canonical forms for complex representations is straightforward, while for the real representations it follows from the results of [A.H. Bilge, Ş. Koçak, S. Uğuz, Canonical bases for real representations of Clifford algebras, Linear Algebra Appl. 419 (2006) 417–439]
Türk romanına eleştirisel bir bakış /
1. Ahmet Mithat'tan A.H. Tanpınar'a2. Sabahattin Ali'den Yusuf Atılgan'a3. Sevgi Soysal'dan Bilge Karasu'yaYunus Emre InstituutYunus Emre Instituu
A letter to A.H. Esq., concerning the stage [electronic resource]
A defense of the stage, in answer to Jeremy Collier's Short view of the immorality and profaneness of the English stage."The initials in the title [i.e. A.H.] have been identified as those of Anthony Hammond. Charles Hopkins has been suggested as the probable author." Cf. NUC pre-1956.Reproduction of original in Huntington Library.WingElectronic reproduction
De kosten van een zandsuppletie op het strand van de Kop van Goeree uitgevoerd met behulp van de zogenaamde "Punaise"
In het 1e deel van het afstudeerverslag van A.H. van Berk (lit. 1) werd de vraag gesteld of een baggersysteem voor het kustonderhoud van de Kop van Goeree met de punaise (fig. 0) in één van de wingebieden A, B of C (fig. 2) kan konkurreren met een systeem met een cutterzuiger in wingebied E. Voor het antwoord op deze vraag zijn de kosten van zowel de uitvoering met de punaise als die met de cutterzuiger bepaald. Deze kosten zijn omgerekend naar de gemiddelde jaarlijkse kosten voor het kustonderhoud en onderling vergeleken. In het tweede deel wordt een handleiding gegeven voor de berekening van de jaarlijkse kosten van het kustonderhoud van de lop van Goeree door zandsuppietie a.b.v. de Punaise.Hydraulic EngineeringCivil Engineering and Geoscience
On the Uniqueness of the Octonionic Instanton Solution on Conformally Flat 8-Manifolds
Let M be an 8-manifold and E be an SO(8) bundle on M. In a previous paper [F. Ozdemir and A.H. Bilge, "Self-duality in dimensions 2n > 4: equivalence of various definitions and the derivation of the octonionic instanton solution", ARI (1999) 51:247-253], we have shown that if the second Pontrjagin number p(2) of the bundle E is minimal, then the components of the curvature 2-form matrix F with respect to a local orthonormal frame are F-ij = c(ij)omega(ij), where c(ij)'s are certain functions and the omega(ij)'s are strong self-dual 2-forms such that for all distinct j, k, l, the products omega(ij)omega(jk) are self dual and omega(ij)omega(kl) are anti self-dual. We prove that if the c(ij)'s are equal to each other and the manifold M is conformally flat, then the octonionic instanton solution given in [B.Grossman, T.W.Kephart, J.D.Stasheff, Commun. Math. Phys., 96, 431-437, (1984)] is unique in this clas
Canonical Forms for Families of Anti-Commuting Diagonalizable Linear Operators
It is well known that a commuting family of diagonalizable linear operators on a finite dimensional vector space is simultaneously diagonalizable. In this paper we consider a family A = {A(a)} A(a) : V -> V a = 1... N of anti-commuting (complex) linear operators on a finite dimensional vector space. We prove that if the family is diagonalizable over the complex numbers then V has an A-invariant direct sum decomposition into subspaces V(alpha) such that the restriction of the family A to V(alpha) is a representation of a Clifford algebra. Thus unlike the families of commuting diagonalizable operators diagonalizable anti-commuting families cannot be simultaneously digonalized but on each subspace they can be put simultaneously to (non-unique) canonical forms. The construction of canonical forms for complex representations is straightforward while for the real representations it follows from the results of [A.H. Bilge S. Kocak S. Uguz Canonical bases for real representations of Clifford algebras Linear Algebra Appl. 419 (2006) 417-439]. (C) 2011 Elsevier Inc. All rights reserved
Towards the classification of scalar nonpolynomial evolution equations: Quasilinearity
AbstractWe prove that, for m ≥ 7, scalar evolution equations of the form ut = F(x, t, u, …, um) which admit a nontrivial conserved density of order m + 1 are linear in um. The existence of such conserved densities is a necessary condition for integrability in the sense of admitting a formal symmetry, hence, integrable scalar evolution equations of order m ≥ 7, admitting nontrivial conserved densities are quasilinear
Determinanten van kennisintensieve onderzoeks- en ontwikkelingssamenwerking
It is becoming increasingly important for companies to ensure a continuing supply of new knowledge. The development of innovative production processes and marketing strategies as well as better products and services improves the competitive position of firms on the world market. This is of special interest to Dutch firms who have only a small and open home market. The principal research question addressed in this thesis concerns the determinants that influence companies in their choice of whether or not to enter into a knowledge-intensive research and development collaboration. This thesis also looks in detail at the role of publicly financed research institutions such as universities, in the setting of the company innovation process as well as at cooperation among private firms. About 13% of all innovative firms in the Netherlands are engaged in some sort of knowledge-intensive research and development collaboration. Knowledge spillovers are an important reason to reject collaboration as a means of acquiring knowledge because spillovers worsen the appropriability conditions, thus decreasing the economic benefits gained from innovative efforts. In correspondence with the literature we find that a high level of R&D-intensity of the partners involved is a very important prerequisite for entering into knowledge intensive R&D-collaboration. Furthermore an important finding is that the probability of entering into a knowledge-intensive R&D-collaboration increases proportionally to the size of the firm. Most innovative firms choose to be engaged in both private and public types of knowledge intensive R&D-collaboration. From this it can be concluded that public and private types of collaboration are complementary to one another. Knowledge intensive R&D-collaboration is also of strategic importance making the decision whether to introduce either improved or newly-developed products onto the market. Firms engaged in knowledge intensive R&D-collaboration more often choose to introduce new products instead of improved products onto the market.Technology, Policy and Managemen
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