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1998

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On Certain Varieties Of Semigroups, A. Tiefenbach Jan 1998

On Certain Varieties Of Semigroups, A. Tiefenbach

Turkish Journal of Mathematics

In this paper we generalize the class of completely regular semigroups (unions of groups) to the class of local monoids, that is the class of all semigroups where the local subsemigroups \( aSa \) are local submonoids. The sublattice of this variety \( (\mathbf{L}(\caL(\cam)) \) covers another lattice isomorphic to the lattice of all bands \( ([x^2 = x]). \) Every bundvariety \( \cau \) has as image the variety \( \Phi - \cau, \) which is the class of all semigroups, where \( \Phi \) is a \( \cau \)-congruence \( (a \Phi b \Leftrightarrow aSa = bSb). \) …


Theorems On Three-Term Relations For Hardy Sum, Y. Şi̇mşek Jan 1998

Theorems On Three-Term Relations For Hardy Sum, Y. Şi̇mşek

Turkish Journal of Mathematics

Some three-term and mixed three-term relations for Hardy sums were given by Goldberg [7]. His proofs are based on Bernd's transformation formulae for the logarithms of the classical Theat-functions. Pettet and Sitaramachandararo [9] proved elementary proofs for all of Goldberg's results and also proved some three-term relations of Dedekind sums. In this paper, some new theorems on three-term relations for hardy sums were found by applying derivative operator to three-term polynomial relation. Furthermore, proofs of the reciprocity relations for Hardy sums are presented in a more concise way from the original proofs of Berndt [2, 3, 4] and Goldberg [7].


On The Action Of Steenrod Operations On Polynomial Algebras, İ. Karaca Jan 1998

On The Action Of Steenrod Operations On Polynomial Algebras, İ. Karaca

Turkish Journal of Mathematics

Let \( \bba \) be the mod-\( p \) Steenrod Algebra. Let \( p \) be an odd prime number and \( Z_{p} = Z/pZ \). Let \( P_{s} = Z_{p} [x_{1},x_{2},\ldots,x_{s}]. \) A polynomial \( N \in P_{s} \) is said to be hit if it is in the image of the action \( A \otimes P_{s} \ra P_{s}. \) In [10] for \( p=2, \) Wood showed that if \( \a(d+s) > s \) then every polynomial of degree \( d \) in \( P_{s} \) is hit where \( \a(d+s) \) denotes the number of ones in the …


Dold-Kan Type Theorems For N-Types Of Simplicitial Commutative Algebras, Z. Arvasi̇, M. Koçak Jan 1998

Dold-Kan Type Theorems For N-Types Of Simplicitial Commutative Algebras, Z. Arvasi̇, M. Koçak

Turkish Journal of Mathematics

A functor from simplicial algebras to crossed \( n \)-cubes is shown to be an embedding on a reflexive subcategory of the category of simplicial algebras that contains representatives for all \( n \) types.


From Simplicial Groups To Crossed Complexes, Z. Arvasi̇ Jan 1998

From Simplicial Groups To Crossed Complexes, Z. Arvasi̇

Turkish Journal of Mathematics

In this paper, we will give a short proof of the construction of the crossed complex of groups by using the higher order Peiffer elements.


On The Validity Of The Borel-Hirzebruch Formula For Topological Actions, D. Dönmez Jan 1998

On The Validity Of The Borel-Hirzebruch Formula For Topological Actions, D. Dönmez

Turkish Journal of Mathematics

We defined an equivalence among group actions and find sufficient conditions for actions of compact connected Lie groups on Euclidean spaces for which the topological version of the Borel-Hirzebruch formula holds.


On The Parabolic Class Number Of Some Subgroups Of Hecke Groups, R. Keski̇n Jan 1998

On The Parabolic Class Number Of Some Subgroups Of Hecke Groups, R. Keski̇n

Turkish Journal of Mathematics

In this paper we calculate the parabolic class number of subgroups of Hecke groups ( H(\sqrt{2}), H (\sqrt{3}) ).


Locally Volume-Minimizing Codimension-One Foliation Of The Solid Torus, İ. Kocayusufoğlu, D. L. Jhonson Jan 1998

Locally Volume-Minimizing Codimension-One Foliation Of The Solid Torus, İ. Kocayusufoğlu, D. L. Jhonson

Turkish Journal of Mathematics

The aim of this paper is to construct a specific codimension-1 foliation of \( D^2 \times S^1 \) with one Reeb component, and to show that this foliation locally minimizes the volume among foliations with the boundary torus as a leaf.


Codes On Superelliptic Curves, F. Özbudak, M. Glukhov Jan 1998

Codes On Superelliptic Curves, F. Özbudak, M. Glukhov

Turkish Journal of Mathematics

The purpose of this paper is to apply superelliptic curves with a lot of rational points to construct rather good geometric Goppa codes.


Cover And Contents Jan 1998

Cover And Contents

Turkish Journal of Mathematics

No abstract provided.


Cover And Contents Jan 1998

Cover And Contents

Turkish Journal of Zoology

No abstract provided.


Cover And Contents Jan 1998

Cover And Contents

Turkish Journal of Zoology

No abstract provided.


Elastic Scattering Of 344.5 Mev ^{12}C Ions From ^{11}B Nucleus, S.A.E. Khallaf, M.A. Abdel-Rahman, S.K. Abdel-Rahman, S.W.Z. Mahmoud Jan 1998

Elastic Scattering Of 344.5 Mev ^{12}C Ions From ^{11}B Nucleus, S.A.E. Khallaf, M.A. Abdel-Rahman, S.K. Abdel-Rahman, S.W.Z. Mahmoud

Turkish Journal of Physics

The angular distribution of the elastic scattering differential cross section of 344.5 MeV $^{12}$C ions from $^{11}$B nucleus is calculated and compared with the experimental data as well as the previously published calculations. The real part of the central optical potential is derived using the double-folding and single-folding procedures assuming Gaussian forms of the nucleon-nucleon and alpha-nucleon interactions, respectively. A nuclear matter density distribution function of $^{11}$B consisting of a spherical part plus a quadrupole term is used. The inclusion of the quadrupole term is found necessary to obtain good fits to the experimental data.


The Influence Of The Dispersion Of Boron Silicate On The Migration Of Non-Equilibrium Charge Carriers Generated By Eect Of An Electric Discharge, A.M. Hasanov Jan 1998

The Influence Of The Dispersion Of Boron Silicate On The Migration Of Non-Equilibrium Charge Carriers Generated By Eect Of An Electric Discharge, A.M. Hasanov

Turkish Journal of Physics

ESR was used in an investigation of the influence of Boron Silicate dispersion on the accumulation of paramagnetic centers (PC). It was observed that the rate of accumulation of PC increase by increasing of the grain size (r). At $r < 0.08$ mm the electrons ($F^+$-centers) are localized on the surface and with increasing grain size up to $0.08 < r < 0.22$ mm charge stratification takes place, the electrons are distributed in near-surface layer and the holes ($V$-centers) are localized in the bulk of the insulator. It was established that the transport of non-equilibrium charge carriers (NCC) from the bulk to the surface of Boron Silicate was due to a drift from the depth $(d \sim 10 \mu m)$ to a bulk-charge field generated by an electric discharge. The value of the surface field $E_s \sim 10^5 V/cm$ is determined by experimental results of the data. The kinetics of the isothermal annealing (300 K) are used to establish the influence of the surface field on the annihilation of NCC in the ''dead'' layer of separated charges.


Dynamical System Topology Preserved In The Presence Of Noise, Judy A. Kennedy, James A. Yorke Jan 1998

Dynamical System Topology Preserved In The Presence Of Noise, Judy A. Kennedy, James A. Yorke

Turkish Journal of Mathematics

We first give a precise definition of the terms ``topological horseshoe'' and ``generalized quadrilateral'' and then examine the behavior of a homeomorphism F on a locally compact, separable, locally connected metric space X (X is usually a manifold in applications) such that F restricted to some generalized quadrilateral Q in X is a topological horseshoe map. For a set Q \subset X we define and describe (1) the permanent set Z of Q to be \{x\in X:F^n(x)\in Q for all integers n\}, and (2) the entrainment set of Q to be E(Q)=\{x\in X: F^{-n} (x)\in Q for all sufficiently large …


On The Cohomology Ring Of The Infinite Flag Manifold Lg/D, Cenap Özel Jan 1998

On The Cohomology Ring Of The Infinite Flag Manifold Lg/D, Cenap Özel

Turkish Journal of Mathematics

In this work, we discuss the calculation of cohomology rings of LG / T. First we describe the root system and Weyl group of LG, then we give some homotopy equivalences on the loop groups and homogeneous spaces, and investigate the cohomology ring structures of LSU_2 /T and \Omega SU_2. Also we prove that BGG-type operators correspond to partial derivation operators on the divided power algebras.


On 3 Dimensional Isotropic Submaniolds Of A Space From, Takehiro Itoh, Koichi Ogiue Jan 1998

On 3 Dimensional Isotropic Submaniolds Of A Space From, Takehiro Itoh, Koichi Ogiue

Turkish Journal of Mathematics

We study 3-dimensional isotropic submanifolds of a space form with low-dimensional first normal space


Cover And Contents Jan 1998

Cover And Contents

Turkish Journal of Mathematics

No abstract provided.


Cover And Contents Jan 1998

Cover And Contents

Turkish Journal of Medical Sciences

No abstract provided.


Cover And Contents Jan 1998

Cover And Contents

Turkish Journal of Medical Sciences

No abstract provided.


Cover And Contents Jan 1998

Cover And Contents

Turkish Journal of Biology

No abstract provided.


Cover And Contents Jan 1998

Cover And Contents

Turkish Journal of Biology

No abstract provided.


Determination Of Emitter Spacing Based On The Amount Of Water Applied And Trickle Discharge Rates, Cafer Gençoğlan Jan 1998

Determination Of Emitter Spacing Based On The Amount Of Water Applied And Trickle Discharge Rates, Cafer Gençoğlan

Turkish Journal of Agriculture and Forestry

This study was conducted with the objectives of determining effect of trickle discharge rates and amount of irrigation water applied on water distribution in the soil profile and to estimate the emitter spacing by the Wooding method and wetting front in the wetted soil volume in a clay soil. Total volume irrigation water of 16, 32 and 64 L were applied with discharge rates of 2, 4, 6 and 8 L/h and water has moved laterally to a distance of 45-60 cm from the trickle source 48 hrs after water application. Result of this study indicated that as the flow …


Cover And Contents Jan 1998

Cover And Contents

Turkish Journal of Agriculture and Forestry

No abstract provided.


Operation Research Methods In The Forest Management Planning, Altay Uğur Gül Jan 1998

Operation Research Methods In The Forest Management Planning, Altay Uğur Gül

Turkish Journal of Agriculture and Forestry

The purpose of this study is to approximate the actual forest state to an aptimal forest state within different conversion period lenghts, to ensure the sustainability of allowable cut over planning horizon, to maximize the total present net value calculated with financial analysis. A linear programming model was developed and used to test 436 different strategies for planning of Gazipasa Forest Management Unit. The value of the objective function of the solution that maximized the total present net value is 63352171000 TL and the amount of the total volume is 9054041 m3. For the first plan period, when the objective …


Cover And Contents Jan 1998

Cover And Contents

Turkish Journal of Agriculture and Forestry

No abstract provided.


Electron Attachment Energies Of The Dna Bases, Kayvan Aflatooni, Gordon A. Gallup, Paul Burrow Jan 1998

Electron Attachment Energies Of The Dna Bases, Kayvan Aflatooni, Gordon A. Gallup, Paul Burrow

Paul Burrow Publications

Injection of electrons into the empty π* molecular orbitals of uracil and the DNA bases creates short-lived anion states whose energies have been determined by electron scattering. A common range of attachment energies into the lowest orbitals is observed in all the bases. Evidence for nuclear motion during the lifetimes of the anions is found in all the compounds except adenine. These properties of the bases as bridge sites along the π-stack of DNA, namely, the effective degeneracy of the anion energies and the strong excitation of vibration, are key parameters for theories of electron-transfer rate, some of …


On Some Finitely Based Representations Of Semigroups, Nikolay N. Silkin Jan 1998

On Some Finitely Based Representations Of Semigroups, Nikolay N. Silkin

Department of Mathematics: Faculty Publications

In this paper we present a method of obtaining finitely based linear representations of possibly infinitely based semigroups.


Relationships Among The First Variation, The Convolution Product, And The Fourier-Feynman Transform, Chull Park, David Skough, David Storvick Jan 1998

Relationships Among The First Variation, The Convolution Product, And The Fourier-Feynman Transform, Chull Park, David Skough, David Storvick

Department of Mathematics: Faculty Publications

In this paper we examine the various relationships that exist among the first variation, the Fourier- Feynman transform, and the convolution product for functionals on Wiener space that belong to a Banach algebra S.


Ecological Resilience, Biodiversity, And Scale, Garry D. Peterson, Craig R. Allen, C. S. Holling Jan 1998

Ecological Resilience, Biodiversity, And Scale, Garry D. Peterson, Craig R. Allen, C. S. Holling

Nebraska Cooperative Fish and Wildlife Research Unit: Staff Publications

We describe existing models of the relationship between species diversity and ecological function, and propose a conceptual model that relates species richness, ecological resilience, and scale.We suggest that species interact with scale-dependent sets of ecological structures and processes that determine functional opportunities. We propose that ecological resilience is generated by diverse, but overlapping, function within a scale and by apparently redundant species that operate at different scales, thereby reinforcing function across scales. The distribution of functional diversity within and across scales enables regeneration and renewal to occur following ecological disruption over a wide range of scales.