Yazar "Koçak, Şahin" için listeleme
-
Biçim kategorisi
Çakmak, Aydın (Anadolu Üniversitesi, 1988)Bu çalışmadaki amacımız biçim kategorisinin bir tanımını ve bu kategorinin morfizmleriyle ilgili bir teoremin ispatını vermektedir. Bu amaçla, önce birinci bölümde kategoriler ve funktorlarla ilgili genel bilgiler verdikten ... -
?-blocking and hysteresis in the EEG
Koçak, Şahin; Mercangöz, A.; Canbek, S. (1995)We investigated the phenomenon of ?-blocking by using a smoothly changing illumination as the visual stimulus and showed that there is no increase of ß-waves during ?-blocking. We were unable to see any form of ?-ß competition ... -
Canonical bases for real representations of Clifford algebras
Bilge, Ayşe Hümeyra; Koçak, Şahin; Uguz, S. (Elsevier Science Inc, 2006)The well-known classification of the Clifford algebras Cl(r, s) leads to canonical forms of complex and real representations which are essentially unique by virtue of the Wedderburn theorem. For s >= 1 representations of ... -
Chaos in product maps
Değirmenci, Nedim; Koçak, Şahin (Scientific Technical Research Council Turkey-Tubitak, 2010)We discuss how chaos conditions on maps carry over to their products First we give a counterexample showing that the product of two chaotic maps (in the sense of Devaney) need not be chaotic We then remark that if two maps ... -
Chaotic n-dimensional euclidean and hyperbolic open billiards and chaotic spinning planar billiards
Deniz, Ali; Kennedy, Judy; Koçak, Şahin; Ratiu, Andrei V.; Üstün, Cevat; Yorke, James A. (Siam Publications, 2008)We propose a new method to handle the n-dimensional billiard problem in the exterior of a finite mutually disjoint union of convex ( but not necessarily strictly convex) smooth obstacles without eclipse in the Euclidean ... -
The circle as an attractor of an iterated function system on the plane
Demir, Bünyamin; Dzhafarov, Vakif; Koçak, Şahin; Üreyen, Mehmet (Academic Press Inc Elsevier Science, 2007)We give an iterated function system (IFS) on the plane with the circle as attractor. In doing this, we also give a sufficient condition for radially contracting functions on the plane (or on R-n) to be a contraction. A ... -
Degenerate Spin Groups as Semi-Direct Products
Dereli, Tekin; Koçak, Şahin; Limoncu, Murat (Birkhauser Verlag Ag, 2010)Let Q be a symmetric bilinear form on R(n)=R(p+q+r) with corank r, rank p+q and signature type (p, q), p resp. q denoting positive resp. negative dimensions. We consider the degenerate spin group Spin(Q) = Spin(p, q, r) ... -
Degenerate spin structures and the Levy-Leblond equation
Dereli, Tekin; Koçak, Şahin; Limoncu, M. (2006)Newton-Cartan manifolds and the Galilei group are defined by the use of co-rank one degenerate metric tensor. Newton-Cartan connection is lifted to the degenerate spinor bundle over a Newton-Cartan 4-manifold by the aid ... -
Degenerate spin structures and the Lévy-Leblond equation
Dereli, Tekin; Koçak, Şahin; Limoncu, Murat (2006)Newton-Cartan manifolds and the Galilei group are defined by the use of co-rank one degenerate metric tensor. Newton-Cartan connection is lifted to the degenerate spinor bundle over a Newton-Cartan 4-manifold by the aid ... -
Derivatives of the restrictions of harmonic functions on the Sierpinski gasket to segments
Demir, Bünyamin; Dzhafarov, Vakif; Koçak, Şahin; Üreyen, Mehmet (Academic Press Inc Elsevier Science, 2007)We give an explicit derivative computation for the restriction of a harmonic function on SG to segments at specific points of the segments: The derivative is zero at points dividing the segment in ratio 1:3. This shows ... -
Dihedral angles of the regular n-simplex
Koçak, Şahin (Mathematical Association of America, 2015)[No abstract available] -
An equivalence class decomposition of finite metric spaces via Gromov products
Bilge, Ayşe Hümeyra; Çelik, Derya; Koçak, Şahin (Elsevier Science BV, 2017)Let (X, d) be a finite metric space with elements P-i, i = 1,..., n and with the distance functions d(ij) The Gromov Product of the "triangle" (P-i, P-j, P-k) with vertices P-t, P-j and P-k at the vertex Pi is defined by ... -
Euclidean realizations of Mauldin-Williams graphs
Graph-directed fractals are collections of metric spaces, each of which can be expressed as a union of several scaled copies of spaces from the collection. They give rise to weighted, directed graphs where the term comes ... -
Existence of a dense orbit and topological transitivity: When are they equivalent?
Değirmenci, Nedim; Koçak, Şahin (Akademiai Kiado, 2003)Topological transitivity and existence of a dense orbit are two notions which play an important role in every definition of chaos [2], [4]. Unfortunately, in the literature there are often misunderstandings (or even false ... -
Finite-monotonicity of eigenfunctions of the Laplacian on the Sierpinski Gasket
Demir, B; Dzhafarov, V; Koçak, Şahin; Üreyen, Mehmet (World Scientific Publ Co Pte LTD, 2005)We show that the restriction of an eigenfunction of the Laplacian on the Sierpinski Gasket (SG) to any segment inside the SG is monotone on finite pieces, i.e. there is a subdivision of the segment, such that the function ... -
A fractal example of a continuous monotone function with vanishing derivatives on a dense set and infinite derivatives on another dense set
Demir, B.; Dzhafarov, V.; Koçak, Şahin; Üreyen, Mehmet (2006)Inspired by the theory of analysis on fractals, we construct an example of a continuous, monotone function on an interval, which has vanishing derivatives on a dense set and infinite derivatives on another dense set. ... -
Fractal interpolation on the Sierpinski Gasket
Çelik, Derya; Koçak, Şahin; Özdemir, Yunus (Academic Press Inc Elsevier Science, 2008)We prove for the Sierpinski Gasket (SG) an analogue of the fractal interpolation theorem of Barnsley. Let V-0 = [p(1), p(2), p(3)) be the set of vertices of SG and u(i) (x) = 1/2 (x + p(i)) the three contractions of the ... -
A Fractal Representation of the Complex Clifford Algebra Equivalent to the Fock Representation
Çelik, Derya; Koçak, Şahin (Birkhauser Verlag Ag, 2012)We construct a representation of the infinite dimensional complex Clifford algebra on the Hilbert space of square-integrable complex-valued functions on the Cantor set, which we show to be equivalent to the classical Fock ... -
The geometry of self-dual two-forms
Bilge, Ayşe Hümeyra; Dereli, Tekin; Koçak, Şahin (Amer Inst Physics, 1997)We show that self-dual two-forms in 2n-dimensional spaces determine a n(2)-n+1-dimensional manifold S-2n and the dimension of the maximal linear subspaces of S-2n is equal To the (Radon-Hurwitz) number of linearly independent ...
