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Full-Text Articles in Physical Sciences and Mathematics

Fractional Crystallization And Magma Mingling/Mixing Processes In The Monzonitic Association In The Sw Part Of The Composite Yozgat Batholith (Şefaatli-Yerköy, Sw Yozgat), Si̇bel Tatar, Durmuş Boztuğ Jan 1998

Fractional Crystallization And Magma Mingling/Mixing Processes In The Monzonitic Association In The Sw Part Of The Composite Yozgat Batholith (Şefaatli-Yerköy, Sw Yozgat), Si̇bel Tatar, Durmuş Boztuğ

Turkish Journal of Earth Sciences

The Yozgat batholith takes place in the passive margin of the Anatolide-Pontide convergence system. It includes; syn-collisional S-type, two-mica granites; post-collisional I-type, calcalkaline monzonitic association, and post-collisional, M-type, tholeiitic gabbroic/dioritic association. Among these associations, the monzonitic association is also subdivided into five mapable units such as Cankılı monzogabbro/monzodiorite, Akçakoyunlu quartz monzodiorite, Adatepe quartz monzonite, Yassiagil monzogranite and Karakaya monzogranite. All these subunits, except the Karakaya monzogranite, include K-feldspar megacrysts. These five subunits represent some evidence of fractional crystallization (FC) and magma mingling/mixing processes by means of field, mineralogical-petrographical and geochemical characteristics. There is a good zonation in the field that …


Pullbacks Of Crossed Modules And Cat^1-Groups, Murat Alp Jan 1998

Pullbacks Of Crossed Modules And Cat^1-Groups, Murat Alp

Turkish Journal of Mathematics

In this paper, wer define the pullback cat$^{1}$-groups and we showed that the category of bullback cat$^{1}$-group is equivalent to the category of pullback crossed modules. 1991 A. M. S. C.: 13D99, 16A99, 17B99, 18D35.


The Norm In Taxicab Geometry, Cumali̇ Eki̇ci̇, I. Kocayusufoğlu, Z. Akça Jan 1998

The Norm In Taxicab Geometry, Cumali̇ Eki̇ci̇, I. Kocayusufoğlu, Z. Akça

Turkish Journal of Mathematics

In this paper, we will define the inner-product and the norm in taxicab geometry and then we will discuss this inner-product geometrically.


A Combinatorial Definition Of N-Types Of Simplicial Commutative Algebras, Z. Arvasi, M. Koçak, M. Alp Jan 1998

A Combinatorial Definition Of N-Types Of Simplicial Commutative Algebras, Z. Arvasi, M. Koçak, M. Alp

Turkish Journal of Mathematics

In this paper, we will give a description of the functor from the category of crossed $n$-cubes to that of simplicial commutative algebras and study a commutative algebra version of Loday's theorem on $n$-types of simplicial groups.


Direct Sums And The Schur Property, Betül Tanbay Jan 1998

Direct Sums And The Schur Property, Betül Tanbay

Turkish Journal of Mathematics

It is a known fact that $\ell^1$, the dual space of the null sequences $c_0$, has the Schur property, that is, weakly convergent sequences in $\ell^1$ are norm convergent. In this paper, we prove that if $(X_{\alpha})_{\alpha\in I}$ are Banach spaces and $X=(\oplus_{\alpha\in I}X_{\alpha})_1$ their $l_1$-sum, then the space $X$ has the Schur property iff each factor $X_{\alpha}$ has it.


The Dual Of The Bochner Space L^P(\Mu,E) For Arbitrary \Mu, Bahatti̇n Cengi̇z Jan 1998

The Dual Of The Bochner Space L^P(\Mu,E) For Arbitrary \Mu, Bahatti̇n Cengi̇z

Turkish Journal of Mathematics

Let $\mu$ be a finite measure, $E$ a Banach space, and $1\leq p


A New Integrable Reduction Of The Coupled Nls Equation, Mehmet Naci̇ Özer Jan 1998

A New Integrable Reduction Of The Coupled Nls Equation, Mehmet Naci̇ Özer

Turkish Journal of Mathematics

The method of multiple scales is used to derive a new integrable coupled nonlinear Schr\\"odinger equation (CNLS) as an amplitude equation from the coupled nonlinear Klein-Gordon Equation (CNKG). We also give the corresponding spectral problem and further reduce the derived equation into a finite dimensional integrable Hamiltonian system. Finally the integrability of the reduced system is deduced by using a perturbation analysis.


Cahit Arf's Contribution To Algebraic Number Theory And Related Fields, Masatoshi G. İkeda Jan 1998

Cahit Arf's Contribution To Algebraic Number Theory And Related Fields, Masatoshi G. İkeda

Turkish Journal of Mathematics

No abstract provided.


On A Certain Subclass Of Analytic Functions With Negative Cefficients, M. K. Aouf, Nak Eun Cho Jan 1998

On A Certain Subclass Of Analytic Functions With Negative Cefficients, M. K. Aouf, Nak Eun Cho

Turkish Journal of Mathematics

The object of the present paper is to derive several interesting properties of the class $T_n\lam$ consisting of analytic and univalent functions with negative coefficients. Coefficient inequalities, distortion theorems and closure theorems of functions in the class $T_n\lam$ are determined. Also radii of close-to-convexity, starlikeness and convexity are determined. Furthermore, integral operators and modified Hadamard products of several functions belonging to the class $Tn\lam$ are studied here.


Timelike Ruled Surfaces In The Minkowski 3-Space-Ii, A. Turgut, H. H. Hacisali̇oğlu Jan 1998

Timelike Ruled Surfaces In The Minkowski 3-Space-Ii, A. Turgut, H. H. Hacisali̇oğlu

Turkish Journal of Mathematics

This paper is devoted to a study of timelike ruled surfaces in three dimensional Minkowski space obtained by a spacelike straight line moving along a timelike curve. The central point, the curve of striction and the distribution parameter of a timelike ruled surface in Minkowski 3-space are considered, and some theorems relating to their structure are obtained. In addition, some results about developable timelike ruled surfaces are also given.


A Berry-Esseen Bound For Empty Boxes Statistic On The Scheme An Allocations Of Several Type Balls, S.A. Mirakhmedov, O. Saidova Jan 1998

A Berry-Esseen Bound For Empty Boxes Statistic On The Scheme An Allocations Of Several Type Balls, S.A. Mirakhmedov, O. Saidova

Turkish Journal of Mathematics

A Berry-Esseen bound for the number of empty cells in the scheme of independent and random allocation of balls of $s$ type into different cells is obtained.


The Non Uniform Bounds Of Remainder Term In Clt For The Sum Of Functions Of Uniform Spacings, S. Mirakhmedov, U. Kalandarov Jan 1998

The Non Uniform Bounds Of Remainder Term In Clt For The Sum Of Functions Of Uniform Spacings, S. Mirakhmedov, U. Kalandarov

Turkish Journal of Mathematics

The non uniform bound of the remainder in the central limit theorem for the sums of functions of uniform spacings is established. The bound depend on the moments of functions of the standard exponential random variables.


Weighted Ergodic Averages, M.D. Ha Jan 1998

Weighted Ergodic Averages, M.D. Ha

Turkish Journal of Mathematics

Let $(X, {\cal F}, \lambda)$ be the unit circle $\Bbb S^1 = \{z \in \Bbb C : z = 1\}$ with the usual $\sigma$-algebra ${\cal F}$ of Lebesgue measurable subsets and the normalized Lebesgue measure $\lambda$. Consider a sequence $\nu_n: \Bbb N \ra \Bbb R, \;\; \nu_n(k) \geq 0, \;\; \Sigma^{\infty}_{k=1} \nu_n(k) = 1$. For any measure-preserving $\tau : X \ra X$, this sequence induces a sequence $(T_n)^{\infty}_1$ of bounded, linear operators on $L^p(X), \;\; 1 \leq p \leq \infty$, by defining \[ T_n f = \sum^{\infty}_{k=1} \nu_n(k) \; f \circ \tau^k, \quad n = 1, 2, \ldots . \] …


Generalized Inverse Estimator And Comparison With Least Squares Estimator, S. Sakallıoğlu, F. Akdeniz Jan 1998

Generalized Inverse Estimator And Comparison With Least Squares Estimator, S. Sakallıoğlu, F. Akdeniz

Turkish Journal of Mathematics

Trenkler [13] described an iteration estimator. This estimator is defined as follows: for $0 < \gamma < 1/\lambda_i \max$ \[ \hat{\beta}_{m, \gamma} = \gamma \sum^m_{i=0} (1-\gamma X'X)^i X'y , \] where $\lambda_i$ are eigenvalues of $X'X$. In this paper a new estimator (generalized inverse estimator) is introduced based on the results of Tewarson [11]. A sufficient condition for the difference of mean square error matrices of least squares estimator and generalized inverse estimator to be positive definite (p.d.) is derived.


On Derived Equivalences And Local Structure Of Blocks Of Finite Groups, Markus Linckelmann Jan 1998

On Derived Equivalences And Local Structure Of Blocks Of Finite Groups, Markus Linckelmann

Turkish Journal of Mathematics

No abstract provided.


The Tachibana Operator And Transfer Of Lifts, Abdullah Mağden, Muhammet Kamali, Arif A. Salimov Jan 1998

The Tachibana Operator And Transfer Of Lifts, Abdullah Mağden, Muhammet Kamali, Arif A. Salimov

Turkish Journal of Mathematics

The main purpose of this paper is to investigate, using the Tachibana operator, transfer of the complete lifts of affinor structures along the cross-sections of the tangent and cotangent bundles.


Post-Collisional Central Anatolian Alkaline Plutonism, Turkey, Durmuş Boztuğ Jan 1998

Post-Collisional Central Anatolian Alkaline Plutonism, Turkey, Durmuş Boztuğ

Turkish Journal of Earth Sciences

A number of Upper Cretaceous-Palaeogene alkaline plutons intruded into the crustal metamorphic rocks, the pre-Maastrichtian ophiolitic mélange, and the Cretaceous-Lower Tertiary units are located in the Central Anatolia (CA), Turkey. These alkaline plutons constitute an important association in the post-collisional Central Anatolian Granitoids. The Dumluca, Murmana, Karakeban, Kösedağ, Hasançelebi, Karaçayir and Davulalan plutons constitute the eastern; whereas the Egrialan, Baranadağ, Hamit, Çamsarı, Durmuslu and Bayindir units the western part of this alkaline association. These plutons are mainly composed of silica oversaturated syenitic to monzonitic, and undersaturated syenitic felsic rocks. However, the Dumluca, Murmana and Karakeban plutons also include some undersaturated …


Orogenic To Non-Orogenic Magmatic Events: Overview Of The Late Variscan Magmatic Evolution Of The Alpine Belt, Bernard Bonin Jan 1998

Orogenic To Non-Orogenic Magmatic Events: Overview Of The Late Variscan Magmatic Evolution Of The Alpine Belt, Bernard Bonin

Turkish Journal of Earth Sciences

The Alpine belt comprises several pieces of Pre-Mesozoic basement, which have received various imprints of the successive Paleozoic orogenic episodes. If Pre-Mesozoic palinspatic reconstructions are taken into account, the Alpine basement can be considered as one single area before Mesozoic continental breakup. Contrasting magma associations were emplaced according to space and time. There exists a controversy about the existence of the Caledonian orogenic episode. The Lower Paleozoic orogenesis was advocated through different lines of evidences in the southern Alpine basement, such as emplacement of Ordovician and Silurian protoliths of calc-alkaline and alkaline orthogneisses. The Variscan orogenic episode ended with the …


Crystallization Processes And Role Of Compositional Convection In Themacrolayer Formation In A Small Layered Complex, Bernard Plateovet Jan 1998

Crystallization Processes And Role Of Compositional Convection In Themacrolayer Formation In A Small Layered Complex, Bernard Plateovet

Turkish Journal of Earth Sciences

The Peloso complex is a 1000m thick gabbroic body composed of two main layered zones (ZA and ZB) that are made up of cyclic macrolayers of olivine gabbro, leucogabbronorite and anorthosite cumulates, and a third zone of unlayered quartz-gabbro (ZC) which may represent a residual liquid. Within a representative macrolayer, cryptic evolution of minerals can not be neglegted, showing that the crystallizing magma batch had a limited volume and was renewed between the formation of two successive macrolayers. The comparison between calculated parental magma density and densities of successive cumulates shows that the residual liquid was probably extracted by compositional …


Petrogenesis Of The Çiçekdağ Igneous Complex, N Of Kırşehir, Centralanatolia, Turkey, Sabah Yilmaz Şahi̇n, Durmuş Boztuğ Jan 1998

Petrogenesis Of The Çiçekdağ Igneous Complex, N Of Kırşehir, Centralanatolia, Turkey, Sabah Yilmaz Şahi̇n, Durmuş Boztuğ

Turkish Journal of Earth Sciences

Central Anatolia typically represents well-preserved geological features of a collision zone. This collision zone is characterized by some geological events occurred in the Anatolide passive margin of the Anatolide-Pontide collision along the Ankara Erzincan suture zone. This suture zone is commonly known to be formed by the pre-Maastrichtian northward subduction of the northern branch of Neo-Tethys beneath the Pontides which was constituting the southernmost tip of Eurasiain plate at that time. These geological occurrences are inverted metamorphism; ophiolitic slabs derived from main suture zone; syn-collisional and S/C ST type magmatism; post-collisional, high-K calcalkaline, hybrid and I/H LO type magmatism; post-collisional, …


Alkaline Rocks And Geodynamics, Bernard Bonin Jan 1998

Alkaline Rocks And Geodynamics, Bernard Bonin

Turkish Journal of Earth Sciences

Origin of A-type alkali feldspar granites is currently the subject of a world-wide debate. Contrasting hypotheses have been proposed, which range from an entirely crustal origin to an almost complete mantle derivation. A-type alkali feldspar granites belong to either unimodal granite (rhyolite)-dominated association, or bimodal gabbro (basalt)-granite (rhyolite) suite. It is argued that (i) the ultimate mantle origin of basic to intermediate rocks is beyond doubt, (ii) highly evolved felsic rocks may be produced by other processes besides crustal involvement through anatexis and (iii) large volumes of felsic rocks are a normal and direct consequence of extensive crystal fractionation processes. …


The Coexistence Of The Silica Oversaturated (Alkos) And Undersaturated Alkaline (Alkus) Rocks In The Kortundag And Baranadag Plutons From The Central Anatolian Alkaline Plutonism, E Kaman/Nw Kırşehir, Turkey, Nazmi̇ Otlu, Durmuş Boztuğ Jan 1998

The Coexistence Of The Silica Oversaturated (Alkos) And Undersaturated Alkaline (Alkus) Rocks In The Kortundag And Baranadag Plutons From The Central Anatolian Alkaline Plutonism, E Kaman/Nw Kırşehir, Turkey, Nazmi̇ Otlu, Durmuş Boztuğ

Turkish Journal of Earth Sciences

Baranadağ and Kortundağ plutons, outcropping in the Kaman-Kırşehir region, constitute the important members of the Central Anatolian post-collisional alkaline plutonism. The Baranadağ pluton comprises only one lithodem called Baranadağ quartz monzonite, whereas, the Kortundağ pluton consists of four mapable units such as Hamit quartz syenite, Durmuslu nepheline-nosean-melanite porphyritic syenite, Bayındır nepheline-cancrinite syenite, and Çamsarı quartz syenite. Among these units, the Baranadağ quartz monzonite and Hamit quartz syenite cut the metamorphics of the Kırşehir Block. On the other hand, Durmuslu, Bayindir and Çamsarı are emplaced in both the Hamit quartz syenite and the metamorphics. The Baranadağ quartz monzonite, Hamit quartz syenite …


Evidence For Damaging Historical Earthquakes At Priene, Western Turkey, Erhan Altunel Jan 1998

Evidence For Damaging Historical Earthquakes At Priene, Western Turkey, Erhan Altunel

Turkish Journal of Earth Sciences

The ancient cilty of Priene was one of the earliest Ionian settlements within the western part of the Büyük Menderes valley (the ancient Maeander River) and was first founded about 8 km in the east of the present site. The old Priene was probably destroyed by a destructive earthquake in the 350s BC and the city was shifted to the existing place in 350 BC. The new city contains an abundance of evidence related to earthquakes. The following evidence indicates that damaging earthquakes, occurred in the Büyük Menderes graben, caused great damage to the new Priene. (1) Part of the …


Petrology Of The Post-Collisional, Within-Plate Yıldızdağ Gabbroic Pluton, Yıldızeli-Sivas Region, Central Anatolia, Turkey, Durmuş Boztuğ, Mustafa Yağmur, Nazmi Otlu, Sibel Tatar, Akif Yeşi̇ltaş Jan 1998

Petrology Of The Post-Collisional, Within-Plate Yıldızdağ Gabbroic Pluton, Yıldızeli-Sivas Region, Central Anatolia, Turkey, Durmuş Boztuğ, Mustafa Yağmur, Nazmi Otlu, Sibel Tatar, Akif Yeşi̇ltaş

Turkish Journal of Earth Sciences

The Yildizdag gabbroic pluton intrudes the Paleocene-Eocene Yakupoğlan formation which is imbricated with the ophiolitic melange of the northern branch of the Neo-Tethyan ocean, and the crustal metasediments of Kırsehir block or Central Anatolian Crystalline Complex. It is subdivided into some mapable subunits such as gabbroic main body, dioritic marginal facies and microdioritic dykes. Mineralogical-geochemical (major, some trace and REE) data reveal that the magnetite + olivine + augite + calcic plagioclase, and hornblende + biotite + intermediate (or sodic) plagioclase fractionation/accumulation has formed the gabbroic main body and dioritic rocks, respectively, during the solidification of a single mafic magma …


Geochemistry And Origin Of The Oligocene Binkılıç Manganese Deposit;Thrace Basin, Turkey, Ali Haydar Gülteki̇n Jan 1998

Geochemistry And Origin Of The Oligocene Binkılıç Manganese Deposit;Thrace Basin, Turkey, Ali Haydar Gülteki̇n

Turkish Journal of Earth Sciences

Many Oligocene Manganese deposits are found in the Trace basin, a Tertiary collisional-collapse type basin in the northwestern part of Turkey. All the mineralizations are originally sedimentary type. The most economically important deposits are around Çatalça; of these, the Binkılıç manganese ore occurs conformably within the Oligocene fossiliferous formations, as a stratiform type manganese deposit. The manganese ores at Binkiliç show a continuity along strike and consists of micro-to Cryptocrystalline pyrolusite, psilomelane, radial manganite, cryptomelane, wad, rhodochrosite and dispersed organic matter, calcite, feldspar, clay minerals, and quartz but generally only minor quantities of limonite and goethite. Mn oxides with variable …


The Origin Of Clay Minerals In Salina Playa-Mudflat Facies,Yeniçubuk Formation (Lower-Middle Miocene), Gemerek, Sivas, Türkiye, İbrahim Türkmen, Cemal Bölücek Jan 1998

The Origin Of Clay Minerals In Salina Playa-Mudflat Facies,Yeniçubuk Formation (Lower-Middle Miocene), Gemerek, Sivas, Türkiye, İbrahim Türkmen, Cemal Bölücek

Turkish Journal of Earth Sciences

The playa-mudflat facies under investigation are found in the Gemerek Basin (Sivas, Türkiye). This Miocene basin is bordered by the Akdağ Metamorphics (Paleozoic) to the N-NW, the Elmalıdağ Volcanic Rocks (Thanetian) to the E and clastic rocks and evaporites of the Cevizcik Formation (Oligocene) to the S-SW. Illite, palygorskite, smectites (montmorillonite, saponite and sauconite), chlorite (clinochlore) and serpentines had been studied using XRD analysis of mudstone samples. Illites and chlorites were found to have originated from marble, schists, granitic rocks, dioritic rocks and syenitic rocks of Akdağ Massif to the north. Palygorskite were formed in evaporitic basins by chemical sedimantation. …


Latest Cr Etaceous Magmatism In The Central Anatolian Crystalline Complex: Review Of Field, Petr Ographic And Geochemical Features, Nurdan S. Aydin, M. Cemal Göncüoğlu, Ayhan Erler Jan 1998

Latest Cr Etaceous Magmatism In The Central Anatolian Crystalline Complex: Review Of Field, Petr Ographic And Geochemical Features, Nurdan S. Aydin, M. Cemal Göncüoğlu, Ayhan Erler

Turkish Journal of Earth Sciences

Magmatic, metamorphic and ophiolitic rock assemblages in Central Anatolia ar e collectively named as the Central Anatolian Crystalline Complex (CACC). Magmatic rocks form significant portion of the CACC and display a range of fabrics, mineralogies and compositions. However , composite granitoid intrusions, such as the Yozgat, Agaçör en, Ekecikdağ and Cefalıkdağ, dominate the geology of the complex. Overall, ther e ar e two main types of Central Anatolian Granitoids (CAG): a) the C-type (crustal) leucog ranites and b) the H-type (hybrid) hornblende ± K-feldspar megacrysts ± mafic micr ogranular enclave bearing granites. The emplacement of granitoid magmatism was followed by …


Azobenzene Side-Chain Liquid Crystalline Polyesters With Outstanding Optical Storage Properties, S. Hvilsted, M. Pedersen, N.C.R. Holme, P.S. Ramanujan Jan 1998

Azobenzene Side-Chain Liquid Crystalline Polyesters With Outstanding Optical Storage Properties, S. Hvilsted, M. Pedersen, N.C.R. Holme, P.S. Ramanujan

Turkish Journal of Chemistry

A flexible azobenzene side-chain liquid crystalline (SCLC) polyester architecture employed for reversible optical storage is described. The modular design allows four structural parameters to be individually modified. These parameters: {\em i}- the methylene side-chain spacer length, {\em ii}- the substituent on azobenzene, {\em iii}- the methylene main-chain segment length, and {\em iv}- the polyester molecular mass, all influence the optical storage properties. A general synthetic route to novel mesogenic azobenzene diols comprising parameters {\em i} and {\em ii} is outlined. Polyesters with molecular masses (parameter {\em iv}) up to 100,000 are routinely obtained by melt transesterification of the novel diols …


The Effect Of Temperature Dependent Frequency Factor On The Evaluated Trapping Parameters Of Tsl Glow Curves, A. N. Yazici, Z. Öztürk Jan 1998

The Effect Of Temperature Dependent Frequency Factor On The Evaluated Trapping Parameters Of Tsl Glow Curves, A. N. Yazici, Z. Öztürk

Turkish Journal of Physics

The effect of temperature dependency on frequency factor and its relationship to trapping parameters is discussed by using the peak shape method. The coefficients appearing in the peak shape formula for the calculation of the activation energy have been determined and tabulated for the symmetry factor $\mu_g(X)$ for $x=0.50$ and 0.75 of the peak intensity. It is found that significant errors occur in the value of the trapping parameters if the temperature dependecy of the frequency factor is not consider.


A Time-Dependent Quantum Study Of Li+Hf(\Nu=1) -> Lif(\Nu')+H, Fahrettin Gögtaş, Gabriel G. Balint-Kurti Jan 1998

A Time-Dependent Quantum Study Of Li+Hf(\Nu=1) -> Lif(\Nu')+H, Fahrettin Gögtaş, Gabriel G. Balint-Kurti

Turkish Journal of Physics

Time-dependent quantum wave packet calculations are performed for a model based (two-dimensional) $Li+HF(\nu=1)\ra LiF(\nu^{\prime})+H$ reaction. The reaction probabilities for a broad range of collison energies are calculated by a single solution of the time-dependent Schr\\"{o}dinger equation. The calculated reaction probabilities show many sharp features as a function of energy which are ascribed to scattering resonances.