 Subjects -> SCIENCES: COMPREHENSIVE WORKS (Total: 374 journals)
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- On New Spinor Sequences of Jacobsthal and Jacobsthal-Lucas Quaternions
Authors: Tülay Erişir; Mehmet Ali Güngör
Abstract: In this study, two new spinor sequences using spinor representations of Jacobsthal and Jacobsthal-Lucas quaternions are defined. Moreover, some formulas such that Binet, Cassini, sum formulas and generating functions of these spinor sequences, which are called as Jacobsthal and Jacobsthal-Lucas spinor sequences, are expressed. Then, the some relationships between Jacobsthal and Jacobsthal-Lucas spinors are obtained. Therefore, an easier and more interesting representation of Jacobsthal and Jacobsthal-Lucas quaternions, which are generalization of Jacobsthal and Jacobsthal-Lucas number sequences, are obtained. We believe that these new spinor sequences will be useful and advantageable in many branches of science, such as geometry, algebra and physics.
PubDate: Fri, 28 Jun 2024 00:00:00 +030
- Existence and Uniqueness of Almost Periodic Solutions to Time Delay
Differential Equations
Authors: Münevver Tuz
Abstract: Bu çalışmada zaman gecikmeli bir ilişkisel sinir ağı modeli incelenmiştir. Bu denklemin neredeyse periyodik çözümlerinin varlığı araştırılmış, Lyapunov nokta teoremi ve diferansiyel eşitsizlik yardımıyla tekliği ve kararlılığı kanıtlanmıştır. Gerçek dünyada sinir ağının sinyal iletim süreci periyodik olarak değiştiğinden, birçok bilim adamı bu konuya ağırlık vermiş ve pratik olaylara daha uygun olması sebebi ile neredeyse periyodik fonksiyon çok önem kazanmıştır. Bulunan sonuçlar öncekilerden farklı ve onları tamamlayıcı niteliktedir.
PubDate: Fri, 28 Jun 2024 00:00:00 +030
- Structural and Luminescence Characterization of LiAlO2 Ceramics
Synthesized by Sol-Gel Technique
Authors: Volkan Altunal
Abstract: This study aims to produce lithium aluminate (LiAlO2) materials as dense ceramics by the sol-gel method and to examine their structural and luminescence properties for radiation dosimetry applications. The crystal structures of ceramics synthesized using the XRD method were confirmed and their morphological properties were examined using SEM analysis. The defect concentrations and lattice parameters of LiAlO2 were also discussed in depth. It has been found that LiAlO2 ceramics have a total of three exponential decay function components that decay OSL signals fast, medium and slow. The TL glow curve of the material exhibited two TL peaks located around 110 and 200 °C. An intense luminescence band around 700 nm was found in RL and TL emissions, which is attributed to oxygen vacancies in the structure. Obtaining promising luminescence signals for passive dosimetry from LiAlO2 samples in this study may make them a candidate dosimeter for radiation dosimetry applications with further studies to be conducted in the future.
PubDate: Fri, 28 Jun 2024 00:00:00 +030
- Effect of co-agent type on curing kinetics of vinyl-methyl siloxane and
phenyl-vinyl-methyl siloxane elastomers
Authors: Davut Aksüt; Elif Kaymazlar, Murat Şen
Abstract: This study investigated the effect of Type I co-agents Zinc Acrylate (ZDA), Zinc Methacrylate (ZDMA) and Type II co-agents Triallyloxy-1,3,5-triazine (TAC), and 1,3,5-triallyl-1,3,5- triazine (TAIC) on the curing kinetics of vinyl methyl polysiloxane (VMQ) and phenyl vinyl methyl polysiloxane (PVMQ) elastomers. 2,5-Dimethyl-2,5-di(tertiary-butylperoxyl) hexane (DBPH) was used as a crosslinker. The rheological analyses were performed with a Moving Die Rheometer (MDR) at four different temperatures. Cure curves were evaluated according to 1th and nth curing kinetics and curing rate constant (k), reaction degree (n), and activation energy (Ea) values were calculated. When the results were evaluated, it was seen that the k, rate constant increased with the addition of TAC, TAIC, and ZDA in the compounds, whereas the k, rate constant value decreased with the use of ZDMA. It is thought that the reason for this is that ZDMA forms a more stable 3° radical due to the methyl group in its structure. ZDA was found to be the accelerator that increased the cure rate of PVMQ and VMQ. When the activation energies obtained were examined, it was seen that the activation energies for PVMQ were higher than the energies obtained for VMQ. The reason for this was attributed stabilization of free radicals by the phenyl group in the structure of the PVMQ
PubDate: Fri, 28 Jun 2024 00:00:00 +030
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