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Pre-Schmidt Mode Parameters in Quantum Entanglement 量子纠缠中的前施密特模式参数
Q4 Multidisciplinary Pub Date : 2024-01-04 DOI: 10.32802/asmscj.2023.1355
Tamil Selvam Murugaya, Nurisya Mohd Shah, Sharifah Kartini Said Husain
We wrote this paper to study in detail the mathematical methods used in deriving the parameters 𝑝𝑝′1, 𝑝𝑝′2, 𝑥𝑥′1, 𝑥𝑥′2, 𝑀𝑀, 𝐾𝐾 and 𝑒𝑒2𝜂𝜂 in the research papers by Han et al. (1999), Makarov (2018a), Han et al. (1993), and Han et al. (1995) to find the Schmidt modes 𝛬𝛬𝑘𝑘 in quantum entanglement. Here, we have analysed and developed a thorough calculation in exploring the rationales behind the existence of these parameters in two and three-coupled harmonic oscillators. Various mathematical approaches were applied in the study, ranging from polynomials and linear algebra to trigonometry and the Pythagorean theorem. We found the parameters 𝐾𝐾 and 𝑒𝑒2𝜂𝜂 using the matrices’ determinants and eigenvalues. With these rationales in deriving the parameters 𝐾𝐾 and 𝑒𝑒2𝜂𝜂 in the research papers for the two-coupled harmonic oscillators, we have formulated similar parameters for three-coupled harmonic oscillators as the conclusion of our study.
我们撰写本文的目的是详细研究 Han 等人(1999 年)、Makarov(2018a)、Han 等人(1993 年)和 Han 等人(1995 年)的研究论文中推导参数𝑝′1、𝑝′2、𝑥𝑥′1、𝑥′2、𝑀𝑀、𝑒𝑒2𝜂𝜂时所使用的数学方法。(1999)、Makarov(2018a)、Han 等(1993)和 Han 等(1995)的研究论文中找到了量子纠缠中的施密特模式𝛬𝛬𝑘𝑘。在此,我们进行了全面的分析和计算,以探索这些参数在二耦合和三耦合谐振子中存在的理由。研究中应用了多种数学方法,从多项式和线性代数到三角学和勾股定理。我们利用矩阵的行列式和特征值找到了参数(⑪)和(𝑒)2𝜂𝜂。根据上述推导二耦合谐波振荡器研究论文中的参数 "廓清 "和 "廓清 "2𝜂𝜂的原理,我们为三耦合谐波振荡器制定了类似的参数,作为我们研究的结论。
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引用次数: 0
Accuracy Assessment of High-Degree Geopotential Models in Peninsular Malaysia 马来西亚半岛高度位势模型的精度评估
Q4 Multidisciplinary Pub Date : 2023-12-19 DOI: 10.32802/asmscj.2023.1018
Saiful Aman HJ Sulaiman, Nur Sofia Erina Ariff, Nurzaitie Aflah Abdullah, Adolfientje Kasenda Olesen, Muhammad Daud Mahdzur
The selection of the accurate geoid model is essential for geoid determination in specific regions. Many improvements to the basic theory of more reliable data are available for numerical modelling studies. All of the innovations have led to the development of a sequence of global geopotential models of increasing spherical harmonic degree and order and the resolution of the geopotential models. There are hundreds of geopotential models that can be downloaded in ICGEM. All geopotential ICGEM models have accuracy and resolution based on the degree and order of spherical harmonic coefficients. This study has two high-degree geopotential models: the latest one, XGM2019e_2159, and another geopotential model, EGM2008. The accuracy evaluation of two geopotential models needs to be evaluated based on terrestrial gravity data and existing GPS points data to choose which geopotential model is the best-fit geopotential models with different degrees and order in terms of spherical harmonic coefficients using the Root Mean Square method. The statistical analysis of the geopotential model derived based on the existing GPS points shows that the degree and order 720 for XGM2019e_2019 are the best-fit geopotential models in Peninsular Malaysia. The result also indicates that the gravity anomaly derived from EGM2008 with the maximum degree and order of 2190 regarding the spherical harmonic coefficient is the most accurate geoid model that can be used as a reference over Peninsular Malaysia. Overall, it can be concluded that XGM2019e_2019 and EGM2008 are the best-fit geopotential models for Peninsular Malaysia.
选择准确的大地水准面模型对于确定特定区域的大地水准面至关重要。对更可靠数据的基本理论进行了许多改进,可用于数值建模研究。所有的创新都导致了球谐度和阶数以及位势模型分辨率不断提高的全球位势模型序列的发展。在 ICGEM 中可以下载数百个位势模型。所有 ICGEM 位势模型的精度和分辨率都取决于球谐波系数的度数和阶数。本研究有两个高阶位势模型:最新的 XGM2019e_2159 和另一个位势模型 EGM2008。两个位势模型的精度评估需要基于地面重力数据和现有 GPS 点数据,利用均方根方法选择哪一个位势模型是不同度数和阶数的球谐波系数最拟合的位势模型。根据现有 GPS 点得出的位势模型的统计分析表明,XGM2019e_2019 的度数和阶数 720 是马来西亚半岛最适合的位势模型。结果还表明,从 EGM2008 得出的重力异常(球谐系数的最大度数和阶数为 2190)是最准确的大地水准面模型,可用作马来西亚半岛的参考。总之,可以得出结论,XGM2019e_2019 和 EGM2008 是最适合马来西亚半岛的大地水准面模型。
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引用次数: 0
Endophytic Plant Growth-Promoting Rhizobacteria Promote Dendrobium Orchid Growth 内生植物生长促进根瘤菌促进石斛兰生长
Q4 Multidisciplinary Pub Date : 2023-12-19 DOI: 10.32802/asmscj.2023.1071
S. Sarawaneeyaruk
Dendrobium orchid is one of the major export products of Thailand. Endophytic bacteria inhabiting the roots have the ability to promote plant growth. They could be used to replace the chemical fertiliser. In this study, 42 bacterial isolates were isolated from the orchid roots and were screened for plant growth- promoting rhizobacteria (PGPR). We selected six isolates that exhibited plant growth promotion (PGP) abilities, including siderophores, IAA, and ACC deaminase production, phosphate-solubilisation, and nitrogen-fixation. The 16S rRNA gene sequencing identified these isolates as Enterobacter sp. and Bacillus sp. with a prominence of Bacillus halotolerans. All six isolates were confirmed to inhabit the orchid roots and were inoculated into the orchid hybrid (D. anosmum × D. parishii) seedlings. We found that B. halotolerans O-SWU-17 enhanced orchid seedling growth in vivo. Thus, B. halotolerans O-SWU- 17 has great potential as a biofertiliser in enhancing orchid production.
石斛兰是泰国的主要出口产品之一。栖息在根部的内生细菌具有促进植物生长的能力。它们可以用来替代化肥。本研究从兰花根部分离出 42 个细菌分离物,并对其进行了植物生长促进根瘤菌(PGPR)筛选。我们选出了 6 个具有植物生长促进能力(PGP)的分离株,包括苷元、IAA 和 ACC 脱氨酶的产生、磷酸盐溶解和固氮作用。通过 16S rRNA 基因测序,确定这些分离物为肠杆菌属和芽孢杆菌属,其中以卤化芽孢杆菌为主。所有六个分离株都被证实栖息在兰花根部,并被接种到兰花杂交种(D. anosmum × D. parishii)幼苗中。我们发现,卤化杆菌 O-SWU-17 能促进兰花幼苗的体内生长。因此,卤化酵母菌 O-SWU- 17 作为一种生物肥料在提高兰花产量方面具有很大的潜力。
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引用次数: 0
Computation of Neumann Localised Boundary Domain Integral Equations 计算新曼局部边界域积分方程
Q4 Multidisciplinary Pub Date : 2023-12-19 DOI: 10.32802/asmscj.2023.1004
Nurul Akmal Mohamed
Most integrals in Localised Boundary Domain Integral Equations (LBDIEs) comprise singularities. This paper aims to produce numerical solutions of the LBDIEs for the Partial Differential Equations with variable coefficients. The singularities of the boundary integrals in LBDIEs will be handled by using a semi-analytic for logarithmic singularity and a semi-quadratic analytic method for r−2 singularity. Whereas the singular domain integrals are handled by using the Duffy transformation. The LBDIEs that we consider are associated with the Neumann problem, which can be solved with a condition. If it can be solved, the solution is, however, unique up to an additive constant. We add a perturbation operator to the LBDIEs to convert the LBDIE to a uniquely solvable equation. The perturbed integral operator leads the perturbed LBDIEs to a dense matrix system that disable the use of methods in solving sparse matrix system. We solve the system of linear equations by Lower-Upper (LU) decomposition method. The numerical results indicate that high accuracy results can be attained. It gives the impression that the methods we use in this numerical experiment are reliable in handling the boundary and domain singular integrals.
局部边域积分方程(LBDIEs)中的大多数积分都包含奇点。本文旨在求解具有可变系数的偏微分方程的局部边界域积分方程数值解。LBDIEs 中边界积分的奇异性将用半解析法处理对数奇异性,用半二次解析法处理 r-2 奇异性。而奇异域积分则通过达菲变换来处理。我们所考虑的 LBDIEs 与诺伊曼问题有关,该问题可以通过一个条件求解。如果可以求解,那么解的唯一性取决于一个加常数。我们在 LBDIE 中加入扰动算子,将 LBDIE 转换为唯一可解方程。扰动积分算子将扰动 LBDIEs 转化为密集矩阵系统,从而禁止使用求解稀疏矩阵系统的方法。我们采用下-上(LU)分解法求解线性方程组。数值结果表明,可以获得高精度结果。这给人的印象是,我们在这次数值实验中使用的方法在处理边界和域奇异积分方面是可靠的。
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引用次数: 0
Modelling Well Location Between River and Second Contaminant Source in Riverbank Filtration Systems 模拟河岸过滤系统中河流与第二污染源之间的水井位置
Q4 Multidisciplinary Pub Date : 2023-12-15 DOI: 10.32802/asmscj.2023.1048
Shaymaa Mustafa, A. Bahar, Zainal Abdul Aziz, Mohamad Darwish, M. K. N. Shamsuddin
Extracting water from pumping well near to river in riverbank filtration systems leads to the natural treatment for surface water. To increase the system efficiency, the well should be located at a distance from the river in which the well can produce high percentage of river water that satisfies the requirements of water quality. In case the well is located between river and a contaminant source, its location should be relocated to a suitable place between the two sources. In this article, an analytical solution is produced to specify the suitable distance of pumping well and polluted river in a riverbank filtration systems if there is a contaminant source to the present well. The analytical solution is obtained by using Green’s function. This approach is chosen because of its simplicity for solving multidimensional problems, and its flexibility to deal with arbitrary initial and boundary conditions. The model is compared with numerical one obtained by using MODFLOW software. The results indicate that the location obtained from proposed model is suitable for use to determine the well location. Additionally, the results show that increasing either the pumping rate or initial contaminant concentration leads to an increment to the distance between river well.
在河岸过滤系统中,从靠近河流的抽水井中取水可实现地表水的自然处理。为提高系统效率,抽水井应与河流保持一定距离,以便抽取的河水能满足水质要求。如果水井位于河流和污染源之间,则应将其位置迁移到两个污染源之间的合适位置。本文提出了一个分析方案,以确定在河岸过滤系统中,如果现有水井有污染源,抽水井与污染河流的合适距离。该解析解是利用格林函数得到的。之所以选择这种方法,是因为它易于解决多维问题,并能灵活处理任意初始条件和边界条件。该模型与使用 MODFLOW 软件得到的数值模型进行了比较。结果表明,从所提出的模型中得到的井位适合用于确定井位。此外,结果表明,增加抽水速率或初始污染物浓度都会导致河井之间的距离增加。
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引用次数: 0
Pharmacological Activities of Dioscorea spp.: A Narrative Review 薯蓣属植物的药理作用叙述性综述
Q4 Multidisciplinary Pub Date : 2023-12-13 DOI: 10.32802/asmscj.2023.978
Nuraini Nafisah Jamaludin, Wan Mazlina Md Saad, Nur Faradila Md Jamil, Aliah Mokhtar, Hussin Muhammad
Pharmacological research has become essential for the development of nature-based drugs to support the claimed therapeutic properties of medicinal plants. Dioscorea species are medicinal plants found to have an impressive pharmacological profile. This review aims to compile the pharmacological properties of three Dioscorea species, D. hispida, D. alata and D. bulbifera and their derived compounds through scientific findings, mainly focusing on the biological activities. Relevant clinical and preclinical studies on the pharmacological properties of these plants were identified, screened, and analysed. A systematic search using predetermined keywords on electronic databases (Scopus, Springer and ScienceDirect) was conducted. This review found these Dioscorea species to possess various pharmacological activities such as anti-inflammatory, antimicrobial, anticancer, antioxidant, anti-diabetic, antihypertensive and estrogenic effects. The plant tubers contain active compounds such as diosgenin that is responsible for anti-inflammatory and anti-diabetic activities in D. alata and D. bulbifera, respectively. Other compounds like dioscorine, phenolic, flavonoid and terpenoid elucidated from the yam tubers were found to be antimicrobial and showed prominent free radical scavenging effects. The plants demonstrated various pharmacological activities although data on their mechanisms of action is very limited. Therefore, further research is needed to explore the full potential of these plants as future therapeutic medicines.
药理学研究对于开发基于自然的药物以支持药用植物的治疗特性至关重要。薯蓣属药用植物具有令人印象深刻的药理特征。本综述旨在通过科学发现,主要侧重于生物活性,汇编三种薯蓣属植物(D. hispida、D. alata 和 D. bulbifera)及其衍生化合物的药理特性。对这些植物药理特性的相关临床和临床前研究进行了鉴定、筛选和分析。使用预先确定的关键词在电子数据库(Scopus、Springer 和 ScienceDirect)中进行了系统搜索。综述发现这些薯蓣物种具有多种药理活性,如抗炎、抗菌、抗癌、抗氧化、抗糖尿病、抗高血压和雌激素作用。D. alata 和 D. bulbifera 的抗炎和抗糖尿病活性。从山药块茎中发现的其他化合物,如二莨菪碱、酚类、黄酮类和萜类化合物,具有抗菌作用,并显示出显著的清除自由基的效果。这些植物具有多种药理活性,但有关其作用机制的数据非常有限。因此,需要进一步开展研究,充分挖掘这些植物作为未来治疗药物的潜力。
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引用次数: 0
Sensory Characteristics of Flavour Improvement in Squid and Cuttlefish Ink Hydrolysates by Maillard Reaction 马氏反应改善鱿鱼和墨鱼墨汁水解物风味的感官特征
Q4 Multidisciplinary Pub Date : 2023-12-07 DOI: 10.32802/asmscj.2023.1644
R. M. Salleh, A. S. Zulkipli, Siti Rashima Romli, B. Akter
By-products from seafood usually smell fishy. In this research, squid ink powder enzyme hydrolysates (SIPEHs) and cuttlefish ink powder enzyme hydrolysates (CIPEHs) were produced via 4 h of hydrolysis with Alcalase® and papain, respectively, at 3% E/S ratios. To generate Maillard reaction products (MRPs), D-xylose and L-cysteine or D-xylose alone were introduced to the hydrolysates. The mixture was then heated at 120 °C for 2 hours. The resulting MRPs were labelled as SIPEHs-mx, SIPEHs-x, CIPEHs-mx, or CIPEHs-x. Results showed that extending the reaction time increased browning products and aroma compounds and reduced pH from 7.4 to 6.54-5.55, respectively. Furthermore, the Maillard reaction products (MRPs) also exhibited a reduction in volatile aldehydes that are typically linked to fish-like aroma. The qualitative descriptive analysis (QDA) test revealed that MRPs had a better umami flavour and a less fishy flavour than hydrolysates. SIPEHs-mx and CIPEHS-mx were preferred with the overall acceptance that satisfied consumer preferences. Therefore, the Maillard reaction was found to improve the overall flavour of both SIPEHs and CIPEHs. The results indicated that the flavour compounds developed in the MRPs during the subsequent heat treatment have the potential to serve as a suitable alternative to hydrolysates, producing flavours that meet consumer preferences and are considered acceptable. Such an approach holds promise for application in product development and improvement studies, offering practical implications for the food industry.
海鲜的副产品通常有腥味。本研究以Alcalase®和木瓜蛋白酶为原料,以3% E/S比分别水解4 h,制备鱿鱼墨粉酶水解物(SIPEHs)和墨鱼墨粉酶水解物(CIPEHs)。将d -木糖和l -半胱氨酸或d -木糖单独引入水解产物中生成美拉德反应产物(MRPs)。然后将混合物在120°C下加热2小时。得到的mrp被标记为SIPEHs-mx、SIPEHs-x、CIPEHs-mx或CIPEHs-x。结果表明,延长反应时间使褐变产物和芳香化合物增加,pH值由7.4降至6.54 ~ 5.55。此外,美拉德反应产物(MRPs)也显示出挥发性醛的减少,这些醛通常与鱼的香气有关。定性描述分析(QDA)测试表明,MRPs比水解产物具有更好的鲜味和更少的腥味。SIPEHs-mx和CIPEHS-mx的总体接受度满足消费者的偏好。因此,美拉德反应可以改善SIPEHs和CIPEHs的整体风味。结果表明,在随后的热处理过程中,在MRPs中形成的风味化合物有可能作为水解产物的合适替代品,产生满足消费者偏好并被认为是可接受的风味。这种方法有望应用于产品开发和改进研究,为食品工业提供实际意义。
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引用次数: 0
Fabrication and Characterisation of Titanium Dioxide (TiO2) with Different Synthesis Temperatures for Solar Cell Applications 用于太阳能电池应用的不同合成温度二氧化钛 (TiO2) 的制造和特性分析
Q4 Multidisciplinary Pub Date : 2023-12-07 DOI: 10.32802/asmscj.2023.1122
S. K. Sahari
In this investigation, the effects of various synthesis temperatures of titanium dioxide (TiO₂) on the structural, optical, and electrical properties of Dye-Sensitised Solar Cell (DSSC) were investigated. As an organic dye for DSSC, Beetroot plant was chosen. The TiO₂ solution was prepared using the sol-gel method and deposited on glass using the spin coating technique. Several compounds, including absolute ethanol, Titanium Isopropoxide (TTIP), Glacial Acetic Acid (GAA), Triton X-100, and deionised water, were combined to create the TiO₂ solution. Using a Scanning Electron Microscope (SEM), an Ultraviolet-Visible (UV-Vis) spectrometer, and a Keithely 2450 Sourcemeter, the structural, optical, and electrical properties of TiO₂ were determined. The results indicate that the TiO2 thin film synthesised at a temperature of 60°C has the most porous structure and the smallest particle size when compared to others. This temperature also produces TiO₂ with the sharpest peak absorption of 0.40 at a wavelength of 575.50 nm, resulting in a bandgap energy of 3.10 eV. Furthermore, it has a higher Field factor (FF) value that results in the highest energy conversion efficiency, ɳ of 0.34 %.
研究了不同合成温度对染料敏化太阳能电池(dye - sensitized Solar Cell, DSSC)结构、光学和电学性能的影响。选用甜菜根作为DSSC的有机染料。采用溶胶-凝胶法制备了二氧化钛溶液,并采用自旋镀膜技术将其沉积在玻璃上。几种化合物,包括无水乙醇、异丙醇钛(TTIP)、冰醋酸(GAA)、Triton X-100和去离子水,被组合成TiO 2溶液。利用扫描电子显微镜(SEM)、紫外-可见光谱仪(UV-Vis)和Keithely 2450源计对TiO 2的结构、光学和电学性质进行了测定。结果表明,在60℃下合成的TiO2薄膜具有最多孔的结构和最小的粒径。该温度下产生的tio2在575.50 nm波长处的最大吸收峰为0.40,带隙能量为3.10 eV。此外,它具有较高的场因子(FF)值,导致最高的能量转换效率,为0.34%。
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引用次数: 0
The Symmetries of (𝒌𝒌:𝜶𝜶𝟏𝟏,𝜶𝜶𝟐𝟐,…,𝜶𝜶𝒌𝒌)-step Fibonacci Functions 的对称(𝒌𝒌:𝜶𝜶𝟏𝟏,𝜶𝜶𝟐𝟐,…,𝜶𝜶𝒌𝒌)一步一步Fibonacci函数
Q4 Multidisciplinary Pub Date : 2023-11-15 DOI: 10.32802/asmscj.2023.1392
Yanapat Tongron, Kanyaphak Paikhlaew, Supattra Kerdmongkon, Numsook Nawapongpipat
It is well known that the Fibonacci sequence (𝐹𝑛) is denoted by 𝐹0=0, 𝐹1=1 and 𝐹𝑛=𝐹𝑛−1+𝐹𝑛−2, while the Lucas sequence (𝐿𝑛) is denoted by 𝐿0=2, 𝐿1=1 and 𝐿𝑛=𝐿𝑛−1+𝐿𝑛−2. There are several studies showing relations between these two sequences. An interesting generalisation of both the sequences is a Fibonacci function 𝑓:ℝ→ℝ defined by 𝑓(𝑥+2)=𝑓(𝑥+1)+𝑓(𝑥) for any real number 𝑥 (Elmore, 1967). Research about periods of Fibonacci numbers modulo 𝑚 (Jameson, 2018) results in a contribution on the existence of primitive period of a Fibonacci function 𝑓:ℤ→ℤ modulo 𝑚 (Thongngam & Chinram, 2019). Recently, a 𝑘-step Fibonacci function 𝑓:ℤ→ℤ denoted by 𝑓(𝑛+𝑘)=𝑓(𝑛+𝑘−1)+𝑓(𝑛+𝑘−2)+⋯+𝑓(𝑛) for any integer 𝑛 and 𝑘≥2 (which is a generalisation of a Fibonacci function 𝑓:ℤ→ℤ) is introduced and the existence of primitive period of this function modulo 𝑚 is established (Tongron & Kerdmongkon, 2022). In this work, let 𝑘 be an integer ≥2. For nonnegative integers 𝛼1,𝛼2,…,𝛼𝑘 and 𝛼1≠0, a (𝑘:𝛼1,𝛼2,…,𝛼𝑘)-step Fibonacci function 𝑓:ℤ→ℤ is defined by 𝑓(𝑛)=𝑓(𝑛−𝛼1)+𝑓(𝑛−𝛼1−𝛼2)+⋯+𝑓(𝑛−𝛼1−𝛼2−⋯−𝛼𝑘) for any integer 𝑛. In fact, a 𝑘-step Fibonacci function is a special case of a (𝑘:𝛼1,𝛼2,…,𝛼𝑘)-step Fibonacci function. We present the existence of primitive period of this function modulo 𝑚 and show that certain (𝑘:𝛼1,𝛼2,…,𝛼𝑘)-step Fibonacci functions are symmetric-like.
众所周知,斐波那契序列(𝐹𝑛)用𝐹0 = 0,𝐹1 = 1,𝐹𝑛=𝐹𝑛−1 +𝐹𝑛−2,而卢卡斯序列(𝐿𝑛)用𝐿0 = 2,𝐿1 = 1,𝐿𝑛=𝐿𝑛−1 +𝐿𝑛−2。有几项研究显示了这两个序列之间的关系。这两个序列的一个有趣的推广是一个Fibonacci函数𝑓:对于任何实数,对于𝑓(s1 +2)=𝑓(s1 +1)+𝑓(s1)定义的→1 (s1) (Elmore, 1967)。关于斐波那契数模的周期𝑚(Jameson, 2018)的研究结果对斐波那契函数的原始周期的存在性有贡献𝑓:0→0模𝑚(Thongngam &Chinram, 2019)。最近,一位𝑘-step Fibonacci函数𝑓:ℤ→ℤ用𝑓(𝑛+𝑘)=𝑓(𝑛+𝑘−1)+𝑓(𝑛+𝑘−2)+⋯+𝑓(𝑛)任何整数𝑛𝑘≥2(这是一个概括的Fibonacci函数𝑓:ℤ→ℤ)介绍和原始时期的存在这个函数建立模𝑚(Tongron,Kerdmongkon, 2022)。在本文中,设𝑘为≥2的整数。为非负整数𝛼1、𝛼2…,𝛼𝑘和𝛼1≠0,一个(𝑘:𝛼1𝛼2,…,𝛼𝑘)一步一步Fibonacci函数𝑓:ℤ→ℤ被定义为𝑓(𝑛)=𝑓(𝑛−𝛼1)+𝑓(𝑛−𝛼1−𝛼2)+⋯+𝑓(𝑛−𝛼1−𝛼2−⋯−𝛼𝑘)对于任何整数𝑛。事实上,𝑘-step斐波那契函数是(𝑘:𝛼1,𝛼2,…,𝑘)步斐波那契函数的一种特殊情况。我们给出了该函数模𝑚的原始周期的存在性,并证明了某些(𝑘:𝛼1,𝛼2,…,𝑘)步Fibonacci函数是类对称的。
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引用次数: 0
Thermally Radiation of MHD Two-Phase Williamson Fluid with Newtonian Heating (NH) 牛顿加热下MHD两相Williamson流体的热辐射
Q4 Multidisciplinary Pub Date : 2023-11-10 DOI: 10.32802/asmscj.2023.1155
Abdul Rahman Mohd Kasim, NUR SYAMILAH ARIFIN, Sharidan Shafie, Noor Amalina Nisa Ariffin
Due to the unique qualities in its behaviours that study the solid and fluid aspects, a study on two-phase flow (solid and liquid) is deemed to be supplementary trustworthy in describing the application of liquid in industrial sectors. Over the past few decades, several non-Newtonian fluid models have been found, but the Williamson model stands out as the most intriguing. The Williamson flow model will be more fascinating to study when the existing particles are considered. Therefore, the purpose of this article is to investigate Williamson fluid with dust particles under the existing MHD and heat radiation. To make inquiry more intriguing, the analysed model also included a Newtonian heating (NH) condition. After employing similarity transformation, the resultant equations, as in Ordinary Differential Equations (ODEs), are solved using the Runge-Kutta Fehlberg (RKF45) method. The findings showed that the presence of fluid-particle interaction (FPI) influenced the fluid velocity, subsequent in a declining the fluid movement and an increase in particle motion.
由于其研究固液两相流的独特特性,对固液两相流的研究被认为是描述液体在工业领域应用的补充可信的研究。在过去的几十年里,人们发现了几个非牛顿流体模型,但威廉姆森模型最为引人注目。当考虑到现有的粒子时,Williamson流动模型的研究将更有吸引力。因此,本文的目的是在现有的MHD和热辐射下研究含尘颗粒的Williamson流体。为了使调查更有趣,分析的模型还包括牛顿加热(NH)条件。采用相似变换后,所得方程与常微分方程(ode)一样,采用Runge-Kutta Fehlberg (RKF45)方法求解。结果表明,流体-颗粒相互作用(FPI)的存在影响流体速度,随后流体运动下降,颗粒运动增加。
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