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Some chaoticity properties of the Henon and the Lozi maps and comparison between them Henon映射和Lozi映射的混沌性及其比较
IF 1.7 Q1 MATHEMATICS Pub Date : 2023-01-01 DOI: 10.47974/jim-1534
Dunia Muhammed Kreem Al-Ftllawy, Rasha Najah Mirza
In this paper, we note there are some chaotic and general properties of Henon and Lozi maps, In this work, we introduce some general properties of the Henon and Lozi maps, and we study the type of fixed points concerning the parameter spaces. has been studied chaotic properties of Henon and Lozi maps, we show that the Henon and Lozi maps have sensitive depends on initial condition by using the software (Matlab). we investigate its transitivity of it by varying the parameter of maps.
在本文中,我们注意到Henon和Lozi映射具有混沌和一般性质,在此工作中,我们引入Henon和Lozi映射的一些一般性质,并研究了参数空间上不动点的类型。本文研究了Henon和Lozi映射的混沌性质,利用Matlab软件证明了Henon和Lozi映射对初始条件有敏感的依赖。我们通过改变映射的参数来研究它的传递性。
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引用次数: 0
A new solution procedure for multi-objective linear fractional transportation problem with rough parameters 粗糙参数多目标线性分数运输问题的一种新的求解方法
IF 1.7 Q1 MATHEMATICS Pub Date : 2023-01-01 DOI: 10.47974/jim-1651
Vishwas Deep Joshi, Saurabh Singh Naharwar, Jagdev Singh, K. Nisar
In this article, we are discussing a rough multi-objective linear fractional transportation problem (RMOLFTP). In Day-to-day life, we frequently encounter many situations where the transportation problems are represented by a rough set. The main aim of our research article is to solve the RMOLFTP where the transportation cost and profit, of the product as rough interval coefficients. Here a new logic is introduced by us to solve RMOLFTP that diversifies the form of Nomani et. al., (2016). To demonstrate the recommended algorithm, a rough numeric problem with two objective functions is offered. A weighted model is presented in this approach for the solutions.
本文讨论了一个粗糙的多目标线性分数运输问题(RMOLFTP)。在日常生活中,我们经常遇到用粗糙集来表示交通问题的情况。本文研究的主要目的是解决以产品的运输成本和利润为粗区间系数的RMOLFTP问题。在这里,我们引入了一种新的逻辑来解决RMOLFTP,使Nomani等人(2016)的形式多样化。为了演示所推荐的算法,给出了一个具有两个目标函数的粗略数值问题。在此方法中,提出了求解的加权模型。
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引用次数: 0
Minimum mean covering Gutman energy of certain graphs 覆盖某些图的Gutman能量的最小均值
IF 1.7 Q1 MATHEMATICS Pub Date : 2023-01-01 DOI: 10.47974/jim-1648
M. V. C. Rao, D. Venkata Lakshmi, N. Srimannarayana, K. A. Venkatesh
The ᶆean-energy orᵯ-energy of a graph was introduced by Laura Buggy, Amaliailiuc, Katelyn Mc.Call, Duyguyen in 2010. The minimum mean covering energy (MMCE) is a special type of graph energy, symbolically represented by ( ), c E G introduced by C. Adiga et. al. The sum of the magnitudes of the characteristic values obtained from the Gutman matrix is named as Gutman energy. we present the results of minimum mean covering Gutman energies (MMCGE) of certain standard graphs (())MCGEG and the lower and upper bounds of ()MCGEG were also established.
图的 ean-energy或ᵯ-energy是由Laura Buggy, amalialiiuc, Katelyn Mc.Call, Duyguyen在2010年引入的。最小平均覆盖能量(MMCE)是一种特殊类型的图能量,由c . Adiga等人引入,符号表示为(),c E G。从古特曼矩阵中得到的特征值的幅度之和称为古特曼能量。给出了若干标准图(())MCGEG的最小平均覆盖古特曼能量(MMCGE)的结果,并建立了()MCGEG的下界和上界。
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引用次数: 0
Dynamic modelling and analysis of MEMS-based low-pressure range capacitive sensors for biomedical applications 生物医学用mems低压量程电容式传感器的动态建模与分析
IF 1.7 Q1 MATHEMATICS Pub Date : 2023-01-01 DOI: 10.47974/jim-1673
Sensitivity and linearity are promising parameters for MEMS (Microelectromechanical system) based Capacitive pressure sensors (CPS). This study discusses the basic principle, classification of the sensing mechanism and recent trends for improving the sensitivity. The review includes mathematical analysis and dynamic modelling on various parameters like deflection, and capacitance. In addition, this comprehensive study also discusses capacitive pressure sensors of different structures/shapes with their advantages and limitations. MEMS-based Capacitive pressure sensors have attracted research interest in recent years for various potential applications in the field of biological, industrial, microphones, touch screens etc. This article deals with different substrates and membrane materials for the sensor along with fabrication methodology. Existing technologies for MEMS-based Capacitive pressure sensor faces common challenges which are discussed here. Advancements in MEMS sensing technology and attractive feature of state of the art in MEMS-based low-range capacitive pressure sensors make use of it in medical applications like BP, IOP and ICP are discussed in detail. Finally, the main finding of this study shows the square shape CPS gives maximum deflection up to the range of 10 kPa.
灵敏度和线性度是基于微机电系统(MEMS)的电容式压力传感器(CPS)的重要参数。本文讨论了传感器的基本原理、传感器的分类以及提高传感器灵敏度的最新趋势。综述包括数学分析和动态建模的各种参数,如挠度,电容。此外,本综合研究还讨论了不同结构/形状的电容式压力传感器的优点和局限性。近年来,基于mems的电容式压力传感器在生物、工业、传声器、触摸屏等领域具有广泛的应用前景。本文讨论了用于传感器的不同衬底和膜材料以及制造方法。本文讨论了基于mems的电容式压力传感器的现有技术面临的共同挑战。详细讨论了MEMS传感技术的进步和基于MEMS的低量程电容压力传感器的最新特性,使其在BP, IOP和ICP等医疗应用中得到了利用。最后,本研究的主要发现表明,方形CPS的最大挠度可达10 kPa。
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引用次数: 0
Illustration of free convection tangent hyperbolic fluid in conjunction with magnetic field within a microchannel 自由对流正切双曲流体与微通道内磁场结合的图解
IF 1.7 Q1 MATHEMATICS Pub Date : 2023-01-01 DOI: 10.47974/jim-1676
P. K. Pattnaik, S. Mishra, P. Mathur, G. Pradhan, Dinesh Goyal
This article investigates the physical interpretation of the magnetic field on the free convection of hyperbolic tangent fluid within a microchannel. The radiating heat through the permeable surface, dissipative heat and the additional heat source experience an important role. The interaction of magnetic dissipation and Darcy-dissipation can be neglected as the flow is supposed to be affected by including a magnetic field and the medium’s permeability. The dimensional form of the designed model is converted to its corresponding non-dimensional form for the use of the similarity variables. Further, these are handled using an approximate analytical technique known as the Adomian decomposition method. The physical behaviour of certain characterizing parameters on the non-Newtonian flow phenomena is exhibited and displayed graphically, and the tabular form is used for the numerical simulation of the rate coefficients.
本文研究了微通道内双曲正切流体自由对流磁场的物理解释。通过透水表面的辐射热、耗散热量和附加热源起着重要的作用。磁耗散和达西耗散的相互作用可以忽略不计,因为考虑了磁场和介质的磁导率对流动的影响。利用相似度变量将设计模型的量纲形式转换为相应的无量纲形式。此外,这些都是用一种近似的分析技术,即阿多米安分解法来处理的。以图形的形式展示了某些表征参数对非牛顿流现象的物理行为,并采用表格的形式进行了速率系数的数值模拟。
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引用次数: 0
Mathematical modeling of intelligent system for predicting effectiveness of premenstrual syndrome 经前综合征智能预测系统的数学建模
IF 1.7 Q1 MATHEMATICS Pub Date : 2023-01-01 DOI: 10.47974/jim-1681
R. Joshi, Priya Mathur, Amit Kumar Gupta, Suyesha Singh, Vismita Paliwal, Sejal Nayar
Majority of reproductive-aged women experience some form of physical discomfort or emotional unease in the weeks leading up to the onset of menstruation. The symptoms are often not severe, but they can cause significant discomfort and disrupt day to day activities of the person experiencing them. It is estimated that between 5 and 8 percent of women experience severe premenstrual syndrome (PMS); the majority of these women may also fall under the category of premenstrual dysphoric disorder (PMDD). The most bothersome symptoms are those associated with the mood and behaviour, such as impatience, tension, sad mood, tearfulness, and mood swings. However, physical problems, such as breast soreness, indigestion and bloating, can also be problematic. Using the Gradian Boost regressor (GBR) method of machine learning, the researchers in this study made a prediction regarding the effects of premenstrual syndrome (PMS). Kelly Wallance classifies premenstrual syndrome as PMS-A, PMS-C, PMS-D, and PMS-H, in addition to other symptoms. Researchers circulated the Kelly Wallance questionnaire on Google Form, which was then used to collect the data for the dataset. The accuracy of the model was measured at 99.99% for PMS-A, 99.93% for PMS-C, 99.87% for PMS-D, 99.92% for PMS-H, and 99.97% for other symptoms.
大多数育龄妇女在月经开始前的几周会经历某种形式的身体不适或情绪不安。这些症状通常并不严重,但它们会引起严重的不适,并扰乱患者的日常活动。据估计,5%至8%的女性患有严重的经前综合症(PMS);这些女性中的大多数也可能属于经前焦虑症(PMDD)的范畴。最令人烦恼的症状是那些与情绪和行为有关的症状,如不耐烦、紧张、悲伤、流泪和情绪波动。然而,身体上的问题,如乳房疼痛、消化不良和腹胀,也可能是问题。利用机器学习的梯度增强回归(GBR)方法,研究人员对经前综合征(PMS)的影响进行了预测。Kelly Wallance将经前综合症分为PMS-A、PMS-C、PMS-D和PMS-H,此外还有其他症状。研究人员在谷歌表格上分发Kelly Wallance问卷,然后用于收集数据集的数据。该模型对PMS-A、PMS-C、PMS-D、PMS-H和其他症状的准确率分别为99.99%、99.93%、99.87%和99.97%。
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引用次数: 0
Special Issue on : Mathematical Modelling for Intelligent Systems and Its Real-Time Applications 特刊:智能系统的数学建模及其实时应用
IF 1.7 Q1 MATHEMATICS Pub Date : 2023-01-01 DOI: 10.47974/jim-26-3-foreword
Dinesh Goyal
The 4th International Conference on Information Management & Machine Intelligence was held at Poornima Institute of Engineering and Technology, Jaipur on 23-24 December 2022. We are pleased to present this special issue on “Mathematical Modelling for Intelligent and Smart Systems” (containing the papers presented at the conference), which aspires to showcase the research and advancements in the development of mathematical modelling techniques in various domains. Mathematical modelling has become an essential activity in the study of simulating physical phenomena through computational processes, enabling us to predict the behaviour of artifacts within their environments. In recent years, machine learning (ML) and artificial intelligence (AI) have emerged as powerful tools in data science and decision-making processes. Mathematical approaches, such as ML, have proven instrumental in developing concise decision models, producing quick approximations, and forecasting changing phenomena based on known samples. The integration of mathematical modelling and machine learning has significantly improved machine intelligence and its applicability in diverse domains.
第四届信息管理与机器智能国际会议于2022年12月23日至24日在斋浦尔普尔尼玛工程技术研究所举行。我们很高兴推出“智能和智能系统的数学建模”特刊(包含在会议上发表的论文),旨在展示数学建模技术在各个领域的研究和进展。数学建模已经成为通过计算过程模拟物理现象研究中的一项重要活动,使我们能够预测人工制品在其环境中的行为。近年来,机器学习(ML)和人工智能(AI)已经成为数据科学和决策过程中的强大工具。数学方法,如ML,已被证明有助于开发简洁的决策模型,产生快速近似值,并根据已知样本预测变化的现象。数学建模和机器学习的结合极大地提高了机器智能及其在各个领域的适用性。
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引用次数: 0
SEJI integral transform of Bessel’s functions 贝塞尔函数的SEJI积分变换
Q1 MATHEMATICS Pub Date : 2023-01-01 DOI: 10.47974/jim-1614
Sadiq A. Mehdi, Emad A. Kuffi, Jinan A. Jasim
Bessel’s functions have great mathematical importance in solving differential equations, especially in the applied field. There is a lot of research that review some applied equations and their solutions using these functions. Since integral transforms have high efficiency in finding accurate solutions to distinct kinds of differential and integral equations, we use in this paper the proposed method “SEJI integral transform” for functions of Bessel. These certain applications have been taken for these functions and solved by SEJI integral transform that reached to the exact solutions. In addition, some characteristics of this transformation were introduced that helped in arriving at accurate solutions.
贝塞尔函数在求解微分方程,特别是在应用领域中具有重要的数学意义。有很多研究回顾了一些应用方程及其使用这些函数的解。由于积分变换对不同类型的微分方程和积分方程具有较高的求精确解的效率,本文对贝塞尔函数采用了所提出的“SEJI积分变换”方法。对这些函数进行了一定的应用,并通过SEJI积分变换得到了精确的解。此外,还介绍了这种转换的一些特征,这些特征有助于得出准确的解决方案。
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引用次数: 0
A new secant method for minima one variable problems 最小一元问题的割线新方法
Q1 MATHEMATICS Pub Date : 2023-01-01 DOI: 10.47974/jim-1601
Barah M. Sulaiman, Basim A. Hassan, Ranen M. Sulaiman
In single variable situations, the traditional Newton’s approaches are the most popular. The new secant approach is based on the 2nd order Taylor expansion, which eliminates the necessity to compute the second derivative. Numerical tests have shown that the new secant approach is both numerical and effective when compared to the existing Newton method (N-method).
在单变量情况下,传统的牛顿方法是最受欢迎的。新的割线方法是基于二阶泰勒展开,它消除了计算二阶导数的必要。数值试验表明,与现有的牛顿法(n -法)相比,新的割线法具有数值性和有效性。
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引用次数: 0
Image encryption with General Singular Values Decomposition via logistic function by encryption key only real number (method-2) 基于逻辑函数的加密密钥唯实数广义奇异值分解图像加密(方法-2)
Q1 MATHEMATICS Pub Date : 2023-01-01 DOI: 10.47974/jim-1629
Mohammed Abdul-Hameed
In this algorithm the development of a previous algorithm was a master’s thesis by researcher Maher AL-Bashkani. Where he used a technique (gsvd) with Logistic function to encrypt the image through a composite key which is two keys. The first is a real number and the second is a picture. In this algorithm we will call it (MK-11) we will dispense with the second key (picture) and with only the first key (real number). We will generate a 3D matrix that represents another key we create through the work of our algorithm. This is a new method that has not been used by previous algorithms. We know nothing about this triple matrix we create by implementing the algorithm. Therefore, this algorithm is considered very excellent and possesses high immunity against hackers who try to break the encryption. The work of this algorithm focuses on three steps: The first is to create an array with the same dimensions as the image we want to encode depending on the numerical components of the image matrix as we will see later. The second step is the first distraction of the image matrix by adopting the first encryption key (real number) and logistic function. Step 3 We apply GSVD between the resulting image matrix after the first encoding contained in the second step above and the matrix that was created in the first step above to perform a second encryption step, the final encryption is two steps of encryption which adds complexity to the image encryption makes it difficult to penetrate by hackers. The results we obtained by implementing this algorithm were excellent and compete readings for modern algorithms. It is superior to accuracy and quality. Therefore, this algorithm can be adopted in information security.
在此算法中,先前算法的发展是研究员Maher AL-Bashkani的硕士论文。其中,他使用了一种带有Logistic函数的gsvd技术,通过两个密钥组成的组合密钥对图像进行加密。第一个是实数,第二个是图片。在这个算法中,我们称之为(MK-11),我们将省略第二个密钥(图片),只使用第一个密钥(实数)。我们将生成一个3D矩阵,表示我们通过算法工作创建的另一个密钥。这是一种以前的算法没有使用过的新方法。通过实现这个算法我们对这个三重矩阵一无所知。因此,该算法被认为是非常优秀的,对试图破解加密的黑客具有很高的免疫力。该算法的工作主要集中在三个步骤上:第一步是创建一个与我们想要编码的图像具有相同尺寸的数组,这取决于我们稍后将看到的图像矩阵的数字分量。第二步是采用第一个加密密钥(实数)和逻辑函数对图像矩阵进行第一次分散。我们在上面第二步中包含的第一次编码后得到的图像矩阵与上面第一步中创建的矩阵之间应用GSVD进行第二步加密,最后的加密是两步加密,增加了图像加密的复杂性,使其难以被黑客渗透。通过实现该算法,我们获得了与现代算法相媲美的优秀结果。它优于精度和质量。因此,该算法可用于信息安全。
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引用次数: 0
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JOURNAL OF INTERDISCIPLINARY MATHEMATICS
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