Search results for: existence and uniqueness

Authors: A. Giniatoulline

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A model of the mathematical fluid dynamics which describes the motion of a three-dimensional viscous rotating fluid in a homogeneous gravitational field with the consideration of the salinity and heat transfer is considered in a vertical finite layer. The model is a generalization of the linearized Navier-Stokes system with the addition of the Coriolis parameter and the equations for changeable density, salinity, and heat transfer. An explicit solution is constructed and the proof of the existence and uniqueness theorems is given. The localization and the structure of the spectrum of inner waves is also investigated. The results may be used, in particular, for constructing stable numerical algorithms for solutions of the considered models of fluid dynamics of the Atmosphere and the Ocean.

Keywords: Fourier transform, generalized solutions, Navier-Stokes equations, stratified fluid

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Authors: Amal Ezzidani, Abdelghani Ben Tahar, Mohamed Hanini

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A sequence of finite tandem queue is considered for this study. Each one has a single server, which operates under the egalitarian processor sharing discipline. External customers arrive at each queue according to a renewal input process and having a general service times distribution. Upon completing service, customers leave the current queue and enter to the next. Under mild assumptions, including critical data, we prove the existence and the uniqueness of the fluid solution. For asymptotic behavior, we provide necessary and sufficient conditions for the invariant state and the convergence to this invariant state. In the end, we establish the convergence of a correctly normalized state process to a fluid limit characterized by a system of algebraic and integral equations.

Keywords: fluid limit, fluid model, measure valued process, processor sharing, tandem queue

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Authors: Aycan Gurluyer

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21st-century theatre has been shaped by lots of world-changing forces devastating human psychology and existence. Accepted as the greatest living English playwright, it is post-war British dramatist Edward Bond who uses a late-21st-century apocalyptic landscape as a weapon to question the human existence in his play 'Have I None?'. In this play, he tries to underline the degenerating and destructive effects of the society and environment on a couple whose lives are changed by an unexpected and annoying stranger. As victim of the society and the cultural corruption, the three vulnerable Bondian characters struggle for their expectations to find a place in this fictional world by sacrificing their own lives. Set in the 2077’s world, the play depicts that rigidly formed rules of the system/authority eliminates the existence of humans. According to Bond, the fascist practices of the governments/systems make people paralyzed in any way, so they choose to deny all realities by becoming biological beings or they gather to commit to suicide as troops. Our main aim is to underscore the questioning of the human existence by drawing the socio-political framework of the era, the capitalist system’s dehumanized individuals and their defence to survive, and what reality is in the 21st century, by focusing on Bond’s hallucinatory and tragic vision of the future in 'Have I None?'.

Keywords: Edward Bond, apocalyptic, existence, Have I None?

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Authors: Hassan Mohammad Alkomy, Hesham Elkaranshawy, Ahmed Ibrahim Ashour, Khaled Tawfik Mohamed

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For a rigid body sliding on a rough surface, a range of uncertainty or non-uniqueness of solution could be found, which is termed: Painlevé paradox. Painlevé paradox is the reason of a wide range of bouncing motion, observed during sliding of robotic manipulators on rough surfaces. In this research work, the existence of the paradox zone during the sliding motion of a two-link (P-R) robotic manipulator with a unilateral constraint is investigated. Parametric study is performed to investigate the effect of friction, link-length ratio, total height and link-mass ratio on the paradox zone.

Keywords: dynamical system, friction, multibody system, painlevé paradox, robotic systems, sliding robots, unilateral constraint

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Authors: Pius W. Molo Chin

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Real life problems such as the Huxley equation are always modeled as nonlinear differential equations. These problems need accurate and reliable methods for their solutions. In this paper, we propose a nonstandard finite difference method in time and the Galerkin combined with the compactness method in the space variables. This coupled method, is used to analyze a two dimensional Huxley equation for the existence and uniqueness of the continuous solution of the problem in appropriate spaces to be defined. We proceed to design a numerical scheme consisting of the aforementioned method and show that the scheme is stable. We further show that the stable scheme converges with the rate which is optimal in both the L2 as well as the H1-norms. Furthermore, we show that the scheme replicates the decaying qualities of the exact solution. Numerical experiments are presented with the help of an example to justify the validity of the designed scheme.

Keywords: Huxley equations, non-standard finite difference method, Galerkin method, optimal rate of convergence

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Authors: Nurudeen Oluwasola Lasisi

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Newcastle disease is a highly contagious disease of birds caused by a para-myxo virus. In this paper, we presented Novel quarantine-adjusted incident and linear incident of Newcastle disease model equations. We considered the dynamics of transmission and control of Newcastle disease. The existence and uniqueness of the solutions were obtained. The existence of disease-free points was shown, and the model threshold parameter was examined using the next-generation operator method. The sensitivity analysis was carried out in order to identify the most sensitive parameters of the disease transmission. This revealed that as parameters β,ω, and ᴧ increase while keeping other parameters constant, the effective reproduction number R_ev increases. This implies that the parameters increase the endemicity of the infection of individuals. More so, when the parameters μ,ε,γ,δ_1, and α increase, while keeping other parameters constant, the effective reproduction number R_ev decreases. This implies the parameters decrease the endemicity of the infection as they have negative indices. Analytical results were numerically verified by the Differential Transformation Method (DTM) and quantitative views of the model equations were showcased. We established that as contact rate (β) increases, the effective reproduction number R_ev increases, as the effectiveness of drug usage increases, the R_ev decreases and as the quarantined individual decreases, the R_ev decreases. The results of the simulations showed that the infected individual increases when the susceptible person approaches zero, also the vaccination individual increases when the infected individual decreases and simultaneously increases the recovery individual.

Keywords: disease-free equilibrium, effective reproduction number, endemicity, Newcastle disease model, numerical, Sensitivity analysis

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Authors: Sabri Arik

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In this paper, we study the global asymptotic robust stability of delayed neural networks with norm-bounded uncertainties. By employing the Lyapunov stability theory and Homeomorphic mapping theorem, we derive some new types of sufficient conditions ensuring the existence, uniqueness and global asymptotic stability of the equilibrium point for the class of neural networks with discrete time delays under parameter uncertainties and with respect to continuous and slopebounded activation functions. An important aspect of our results is their low computational complexity as the reported results can be verified by checking some properties symmetric matrices associated with the uncertainty sets of network parameters. The obtained results are shown to be generalization of some of the previously published corresponding results. Some comparative numerical examples are also constructed to compare our results with some closely related existing literature results.

Keywords: neural networks, delayed systems, lyapunov functionals, stability analysis

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Authors: Tadas Telksnys, Zenonas Navickas, Minvydas Ragulskis

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Necessary and sufficient conditions for the existence of second order solitary solutions to the Hodgkin-Huxley equation are derived in this paper. The generalized multiplicative operator of differentiation helps not only to construct closed-form solitary solutions but also automatically generates conditions of their existence in the space of the equation's parameters and initial conditions. It is demonstrated that bright, kink-type solitons and solitary solutions with singularities can exist in the Hodgkin-Huxley equation.

Keywords: Hodgkin-Huxley equation, solitary solution, existence condition, operator method

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Authors: Tahar Djebbar Aziza

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The American society, like all societies, is fractured by social divisions between different groups of people. It is divided by race, class, gender, and other social and cultural characteristics. Social divisions affect the way and the manner welfare is delivered for citizens within the American society. The welfare state exists to guarantee the promotion of well –being for all the different components within a society without taking into account their age, gender, their ethnicity/race, or their social belonging (class). Race, class, and even gender issues are the main factors that affected the formal structure, the nature, as well as the evolution of the American welfare state and led to its uniqueness. They have affected the structure and the evolution of the American welfare state since its creation in the 1930s, and led to its uniqueness in an international level. This study aims therefore at enhancing the readers’ awareness of social divisions: race, class, gender and their implications for the distribution of welfare resources and life chances in the USA from the early 1930s to the late 1990s.

Keywords: African Americans, class, gender, minority groups, race, social divisions, social policy, U.S. welfare state

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Authors: A. Giniatoulline

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We consider the internal oscillations of the ocean which are caused by the gravity force and the Coriolis force, for different models with changeable density, heat transfer, and salinity. Traditionally, the mathematical description of the resonance effect is related to the growing amplitude as a result of input vibrations. We offer a different approach: the study of the relation between the spectrum of the internal oscillations and the properties of the limiting amplitude of the solution for the harmonic input vibrations of the external forces. Using the results of the spectral theory of self-adjoint operators in Hilbert functional spaces, we prove that there exists an explicit relation between the localization of the frequency of the external input vibrations with respect to the essential spectrum of proper inner oscillations and the non-uniqueness of the limiting amplitude. The results may find their application in various problems concerning mathematical modeling of turbulent flows in the ocean.

Keywords: computational fluid dynamics, essential spectrum, limiting amplitude, rotating fluid, spectral theory, stratified fluid, the uniqueness of solutions of PDE equations

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Authors: Brankica Bojovic

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Every study of advertising is intrinsically multidisciplinary, as the researcher must take into account the linguistic, social, psychological, economic, political and cultural factors that have all played a significant role in the history of advertising. A linguoculturological analysis of advertising aims to provide insight into the ideologies and archetypal structures that abide in the discourse of advertising messages, and give an overview of the academic research in the area of linguistics, and cultural and social studies that contributed to the demystification of the discourse of advertising. As the process of globalisation is gaining momentum, so is the expansion of businesses and economies, and migration of the population. Yet, the uniqueness of individual cultures prevails, and demonstrates that the process of communication and translation are not only matters of linguistic, but of cultural transferral as well. Therefore, even the world of business and advertising, the world of fast food, fast production, fast living, is programmed in accordance with the uniqueness of those cultures. The fact that culture, beliefs, ideologies, values and societal expectations permeate every sphere of advertising will be addressed through illustrative examples.

Keywords: culturology, ideology, linguistic analysis in advertising, linguistic and visual metaphors, propaganda, translation of advertisements

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Authors: Siddharatha Sharma

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With the advent of technology and machines, the role of biometrics in society is taking an important place for secured living. Security issues are the major concern in today’s world and continue to grow in intensity and complexity. Biometrics based recognition, which involves precise measurement of the characteristics of living beings, is not a new method. Fingerprints are being used for several years by law enforcement and forensic agencies to identify the culprits and apprehend them. Biometrics is based on four basic principles i.e. (i) uniqueness, (ii) accuracy, (iii) permanency and (iv) peculiarity. In today’s world fingerprints are the most popular and unique biometrics method claiming a social benefit in the government sponsored programs. A remarkable example of the same is UIDAI (Unique Identification Authority of India) in India. In case of fingerprint biometrics the matching accuracy is very high. It has been observed empirically that even the identical twins also do not have similar prints. With the passage of time there has been an immense progress in the techniques of sensing computational speed, operating environment and the storage capabilities and it has become more user convenient. Only a small fraction of the population may be unsuitable for automatic identification because of genetic factors, aging, environmental or occupational reasons for example workers who have cuts and bruises on their hands which keep fingerprints changing. Fingerprints are limited to human beings only because of the presence of volar skin with corrugated ridges which are unique to this species. Fingerprint biometrics has proved to be a high level authentication system for identification of the human beings. Though it has limitations, for example it may be inefficient and ineffective if ridges of finger(s) or palm are moist authentication becomes difficult. This paper would focus on uniqueness of fingerprints to the human beings in comparison to other living beings and review the advancement in emerging technologies and their limitations.

Keywords: fingerprinting, biometrics, human beings, authentication

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Authors: E. Marušić-Paloka, I. Pažanin, M. Prša

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Subject of this study is the stationary heat conduction problem through a pipe filled with incompressible viscous fluid. In previous work, we observed the existence and uniqueness theorems for the corresponding boundary-value problem and within we have taken into account the effects of the pipe's dilatation due to the temperature of the fluid inside of the pipe. The main difficulty comes from the fact that flow domain changes depending on the solution of the observed heat equation leading to a non-standard coupled governing problem. The goal of this work is to find solution estimate since the exact solution of the studied problem is not possible to determine. We use an asymptotic expansion in order of a small parameter which is presented as a heat expansion coefficient of the pipe's material. Furthermore, an error estimate is provided for the mentioned asymptotic approximation of the solution for inner area of the pipe. Close to the boundary, problem becomes more complex so different approaches are observed, mainly Theory of Perturbations and Separations of Variables. In view of that, error estimate for the whole approximation will be provided with additional software simulations of gotten situation.

Keywords: asymptotic analysis, dilated pipe, error estimate, heat conduction

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Authors: Farid Nouioua, Abdelouaheb Ardjouni

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In this article, we study the existence of positive periodic solutions of certain delay differential equations. In the process we convert the differential equation into an equivalent integral equation after which appropriate mappings are constructed. We then employ Krasnoselskii's fixed point theorem to obtain sufficient conditions for the existence of a positive periodic solution of the differential equation. The obtained results improve and extend the results in the literature. Finally, an example is given to illustrate our results.

Keywords: delay differential equations, positive periodic solutions, integral equations, Krasnoselskii fixed point theorem

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Authors: Sadia Arshad

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The new coronavirus disease or COVID-19 still poses an alarming situation around the world. Modeling based on the derivative of fractional order is relatively important to capture real-world problems and to analyze the realistic situation of the proposed model. Weproposed a mathematical model for the investigation of COVID-19 dynamics in a generalized fractional framework. The new model is formulated in the Caputo sense and employs a nonlinear time-varying transmission rate. The existence and uniqueness solutions of the fractional order derivative have been studied using the fixed-point theory. The associated dynamical behaviors are discussed in terms of equilibrium, stability, and basic reproduction number. For the purpose of numerical implementation, an effcient approximation scheme is also employed to solve the fractional COVID-19 model. Numerical simulations are reported for various fractional orders, and simulation results are compared with a real case of COVID-19 pandemic. According to the comparative results with real data, we find the best value of fractional orderand justify the use of the fractional concept in the mathematical modelling, for the new fractional modelsimulates the reality more accurately than the other classical frameworks.

Keywords: fractional calculus, modeling, stability, numerical solution

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Authors: Saowapa Phaithayawat

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The objectives of the study are the following: 1) To study the way of life in terms of one hundred years co-existence of the Muslim and local community in this area 2) To analyze factors affect to this community with happy co-existence. The study requires quantitative research to study a history together with the study of humanity. The result of this study showed that the area of Petchburi 7 community is an ancient area which has owned by the Muslim for almost 100 years. There is a sanctuary as the center of unity. Later Bangkok becomes more developed and provides more infrastructures like the motorway and other transportation: however, the owners of lands in this community still keep their lands and build many buildings to run the business. With this purpose, there are many non-Muslim people come to live here with co-existence. Not only do they convenient to work but also easy to transport by sky train. There are factors that make them live harmonious as following: 1) All Muslims in this area are strict to follow their rules and allocate their community for business. 2) All people, who come and live here, are middle-aged and working men and women. They rent rooms closed to their work. 3) There are Muslim food and desserts, especially Roti, the popular fried flour, and local Chachak, tea originated from the south of Thailand. All these food and deserts are famous for working men and women to home and join after work 4) All Muslim in this area are independent to lead their own lives although a society changes rapidly.

Keywords: co-existence, Muslims, other group of people, the ancient community, social sciences

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Authors: Kettawa Boonprakarn, Jedsarid Sangkaphan, Bejapornd Deekhuntod, Nuntharat Suriyo

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This study aimed to investigate the existence of field corn networks on the Thailand-Burma border under the patron-client contract farming system. The data of this qualitative study were collected through in-depth interviews with nine key informants. The results of the study revealed that the existence of the field corn networks was associated with the relationship where farmers had to share their crops with protectors in the areas under the influence of the KNU (Karen National Union) and the DKBA (Democratic Karen Buddhist Army) or Burmese soldiers. A Mae Liang, the person who starts a network has a connection with a Thaokae, Luk Rai Hua Chai or the head of a group of farmers, and farmers. They are under the patron-client system with trust and loyalty that enable the head of the group and the farmers in the Burma border side to remain under the same Mae Liang even though the business has been passed down to later generations.

Keywords: existence, field-corn networks, patron-client system, contract farming

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Authors: Noor Hayati Binti Ismail, Mastor Bin Surat, Raja Nafida Binti Raja Shahminan, Shahrul Kamil Bin Yunus

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Traditional Malay house built in the various custom and culture for every state in Malaysia. Each state has its characteristics, design and different concepts that form the distinctive identity. The uniqueness of a traditional house design is a symbolize of Negeri Sembilan society. The purpose of this paper is to introduce the feature, a traditional Malay house in Negeri Sembilan, Malaysia. This typology will describe five types of traditional Malay houses in Negeri Sembilan by briefly about the concept of a traditional Malay house design. The design represents a variety of purposes that are often associated with its own culture and customs practiced by the community. In addition, the design of long tapering roof with both ends of the roof went up a little bit architecture has become an identity of its own in Negeri Sembilan. The study involves several villages of traditional houses in Negeri Sembilan, Malaysia. Data collection was obtained through a process of observation, interviews, questionnaire and taking photos related. Through this research, We are expected to provide awareness and also a reference to the next generation of traditional houses in Malaysia especially in Negeri Sembilan. Identity and uniqueness of traditional houses Negeri Sembilan increasingly difficult to maintain and can be kept from being lost in their own land.

Keywords: design, identity, traditional Malay house, typology

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Authors: Prompassorn Chunhabunyatip

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The objectives of this research were to study the factors affecting the participation of local people and the obstacles and recommendations towards local people’s participation in illuminated boat procession culture. The study looked at both qualitative, and quantitative data were collected by in-depth interview and analyzed by the descriptive approach. The 296 samplings were a local community who participated in constructing the illuminated boat in each community for 14 communities. The results of this study showed that the factor that encourages local people’s participation in illuminated both procession is the awareness of an importance of cultural uniqueness in the local. The problems and obstacles to the participation in illuminated boat procession include the resources for constructing illuminated both such as bamboos are run out of and price increasing, lack of proper cooperation between local people and government officers and conflict in interests between in local government office. So, the result of this study recommended that the government officers should be taken into account about community participation in the illuminated boat procession culture because without local people, the uniqueness culture of Nakhon Phanom Province would not exist and they would not reach the sustainable tourism goal.

Keywords: illuminated both culture, community participation, sustainable tourism management, Nakhon Phanom province

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Authors: Rafal Sochaczewski, Grzegorz Baranski, Adam Majczak

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This paper presents the bench research results on a CNG injector at steady state. The quantities measured included voltage and current in a solenoid, pressure of gas behind an injector and injector’s flow rate. Accordingly, injector’s operation parameters were determined according to needle’s lift and injection pressure. The discrepancies between the theoretical (electric) and actual time of injection were defined to specify injector’s opening and closing lag times and the uniqueness of these values in successive cycles of gas injection. It has been demonstrated that needle’s lift has got a stronger impact on injector’s operating parameters than injection pressure. With increasing injection pressure, the force increases and closes an injection valve, which adversely affects uniqueness of injector’s operation. The paper also describes the concept of an injector dedicated to direct CNG injection into a combustion chamber in a dual-fuel engine. The injector’s design enables us to replace 80% of diesel fuel in a dual-fuel engine with a maximum power of 85 kW. Minimum injection pressure is 1,4 MPa then. Simultaneously, injector’s characteristics for varied needle’s lifts and injector’s nonlinear operating points were developed. Acknowledgement: This work has been financed by the Polish National Centre for Research and Development, under Grant Agreement No. PBS1/A6/4/2012.

Keywords: CNG injector, diesel engine, direct injection, dual fuel

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Authors: Catarina Cruz, Ana Breda

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Tiling problems have been capturing the attention of many mathematicians due to their real-life applications. In this study, we deal with tilings of Zⁿ by Lee spheres, where n is a positive integer number, being these tilings related with error correcting codes on the transmission of information over a noisy channel. We focus our attention on the question ‘for what values of n and r does the n-dimensional Lee sphere of radius r tile Zⁿ?’. It seems that the n-dimensional Lee sphere of radius r does not tile Zⁿ for n ≥ 3 and r ≥ 2. Here, we prove that is not possible to tile Z⁷ with Lee spheres of radius 2 presenting a proof based on a combinatorial method and faithful to the geometric idea of the problem. The non-existence of such tilings has been studied by several authors being considered the most difficult cases those in which the radius of the Lee spheres is equal to 2. The relation between these tilings and error correcting codes is established considering the center of a Lee sphere as a codeword and the other elements of the sphere as words which are decoded by the central codeword. When the Lee spheres of radius r centered at elements of a set M ⊂ Zⁿ tile Zⁿ, M is a perfect r-error correcting Lee code of word length n over Z, denoted by PL(n, r). Our strategy to prove the non-existence of PL(7, 2) codes are based on the assumption of the existence of such code M. Without loss of generality, we suppose that O ∈ M, where O = (0, ..., 0). In this sense and taking into account that we are dealing with Lee spheres of radius 2, O covers all words which are distant two or fewer units from it. By the definition of PL(7, 2) code, each word which is distant three units from O must be covered by a unique codeword of M. These words have to be covered by codewords which dist five units from O. We prove the non-existence of PL(7, 2) codes showing that it is not possible to cover all the referred words without superposition of Lee spheres whose centers are distant five units from O, contradicting the definition of PL(7, 2) code. We achieve this contradiction by combining the cardinality of particular subsets of codewords which are distant five units from O. There exists an extensive literature on codes in the Lee metric. Here, we present a new approach to prove the non-existence of PL(7, 2) codes.

Keywords: Golomb-Welch conjecture, Lee metric, perfect Lee codes, tilings

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Authors: Ayan Chakraborty, BV. Rathish Kumar

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Off-late many models in viscoelasticity, signal processing or anomalous diffusion equations are formulated in fractional calculus. Tempered fractional calculus is the generalization of fractional calculus and in the last few years several important partial differential equations occurring in the different field of science have been reconsidered in this term like diffusion wave equations, Schr$\ddot{o}$dinger equation and so on. In the present paper, a time-dependent tempered fractional diffusion equation of order $\gamma \in (0,1)$ with forcing function is considered. Existence, uniqueness, stability, and regularity of the solution has been proved. Crank-Nicolson discretization is used in the time direction. B spline finite element approximation is implemented. Generally, B-splines basis are useful for representing the geometry of a finite element model, interfacing a finite element analysis program. By utilizing this technique a priori space-time estimate in finite element analysis has been derived and we proved that the convergent order is $\mathcal{O}(h²+T²)$ where $h$ is the space step size and $T$ is the time. A couple of numerical examples have been presented to confirm the accuracy of theoretical results. Finally, we conclude that the studied method is useful for solving tempered fractional diffusion equations.

Keywords: B-spline finite element, error estimates, Gronwall's lemma, stability, tempered fractional

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Authors: They Shao Peng

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Machine vision system for inspection is an automated technology that is normally utilized to analyze items on the production line for quality control purposes, it also can be known as an automated visual inspection (AVI) system. By applying automated visual inspection, the existence of items, defects, contaminants, flaws, and other irregularities in manufactured products can be easily detected in a short time and accurately. However, AVI systems are still inflexible and expensive due to their uniqueness for a specific task and consuming a lot of set-up time and space. With the rapid development of mobile devices, smartphones can be an alternative device for the visual system to solve the existing problems of AVI. Since the smartphone-based AVI system is still at a nascent stage, this led to the motivation to investigate the smartphone-based AVI system. This study is aimed to provide a low-cost AVI system with high efficiency and flexibility. In this project, the object detection models, which are You Only Look Once (YOLO) model and Single Shot MultiBox Detector (SSD) model, are trained, evaluated, and integrated with the smartphone and webcam devices. The performance of the smartphone-based AVI is compared with the webcam-based AVI according to the precision and inference time in this study. Additionally, a mobile application is developed which allows users to implement real-time object detection and object detection from image storage.

Keywords: automated visual inspection, deep learning, machine vision, mobile application

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Authors: Hiba Alkhalaf

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Historic cities and places of cultural significance is continuously under the pressure of economic development and social change that threaten its natural and cultural environment. The challenge here is to find a balance between preserving the cultural character while ensuring the socio-economic gains and continuity of its uniqueness. That is by sustaining the use, character, meaning and social interaction associated with the place, in other words the sense of place. The main argument here is what we attempt to conserve is the cultural physical and non-physical dimensions of the historic city. It is based on the proposition that what give the historic city its character is its strong sense of place- whether it is historic or current. When properly identified, its various dimensions (use, meaning and form) would help determine what to sustain and what not by making the development meaningfully related to the uniqueness of the historic place. Accordingly, those socio-economic features within the context of a changing historic environment needed to be clarified. This paper, thus, explores the various perspectives of the role of sense of place within the historic city and its connection to cultural heritage. It also reviews urban conservation practice as it is currently understood in the context of historic city development. It concludes that sense of place lies in complex interrelated relationships between various users of the place and the physical, economic, cultural, political, and environmental contexts in which they interact. This calls for the need to sustain the sense of place as part of the overall urban development and conservation strategies.

Keywords: cultural heritage, historic urban areas, urban development, sense of place

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Authors: Bhaddiya Tanchangya

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This article discusses the Four Noble Truths, the foundational teachings of Buddhism, and their significance to Buddhist philosophy. The Four Noble Truths are the Noble Truth of Suffering, the Noble Truth of the Cause of Suffering, the Noble Truth of the End of Suffering, and the Noble Truth of the Path Leading to the End of Suffering. The first truth, the Noble Truth of Suffering, explains that suffering or dukkha is an inherent part of existence, including emotional, physical, and existential forms of suffering, including the Five Aggregates, which refer to the five components that make up a sentient being's experience of existence, as they are all conditioned, interdependent, subject to the Three Characteristics of Existence: impermanence, unsatisfactoriness and emptiness. The second truth, the Noble Truth of the Cause of Suffering, states that craving or attachment to the sensory experiences of the Five Aggregates leads to suffering and identifies three types of craving: craving for sensual pleasures, craving for existence, and craving for non-existence. Through the doctrine of Dependent Origination (Paṭiccasamuppāda), the Buddha graphically shows how the entire process of suffering arises and ceases. The third truth, the Noble Truth of the End of Suffering, asserts that there is a way to end suffering and attain a state of liberation called Nibbāna that marks the end of the cycle of birth and death by removing that very craving towards the sensory experiences by cultivating the Noble Eightfold Path. The fourth truth, the Noble Truth of the Path Leading to the End of Suffering, describes the Noble Eightfold Path, a set of guidelines to develop insight and wisdom to overcome craving and attachment and attain liberation from suffering. The article emphasizes that the Four Noble Truths are universal, applicable to all people regardless of culture, background, or beliefs, and form the foundation of Buddhist philosophy and practice.

Keywords: four noble truths, impermanence, suffering, not-self-ness, interconnectedness, emptiness, morality, concentration, wisdom, nirvana, happiness

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Authors: Sebastiana Viphindratin, Silvi Asna

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The under ground economy phenomenon is exist in Indonesia. There are some factors which affect the existence this underground economy activity. One of them is a hierarchy power structure that handles the underground economy existence. The example of the existence of underground economy is the occurring informal market in Indonesia. Malang city is one of the city which has this kind of market. Junk night market (JNM) as an underground economy activity is arising in that city. The JNM is located in Gatot Subroto Sidewalk Street. The JNM is a illegal market which sell thrift, antique, imitation and black market goods. The JNM is interesting topic to be discussed, because this market is running in long time without any policy from local government. The JNM activity has their own “power” that run the market rules. Thus, it is important to analyze how the existence and power structure of JNM actors community are in Malang city. This research using qualitative method with phenomenological approach where we try to understand the phenomenon and related actors deeply. The aim of this research is to know the existence and power structure of JNM actors community in Malang. In JNM, there is no any entry barriers and tax charge from Malang government itself. Price competition also occurs because the buyer can do a bargain with the seller. In maintaining buyer loyalty, the JNM actors also do pre-order system. Even though, this market is an illegal market but the JNM actors also give the goods guarantee (without legal contract) as a formal market. In JNM actor’s community, there is no hierarchy and formal power structure. The role in JNM is managed by informal leaders who come up from the trading activity problems that are sidewalk and parking area dividing. Therefore, can be concluded that even the JNM is illegal market but it can survive with natural market pattern. In JNM development, JNM has positive and negative impact for Malang city. The positive impact of JNM is this market can open a new employment but the negative impact is there is no tax income from that market. Therefore, suggested that the government of Malang city should manage and give appropriate policies in this case.

Keywords: junk night market (JNM), Malang city, underground economy, illegal

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Authors: Ana Lambelho

Abstract:

Nowadays is very common that an activity may be performed independently or dependently. In Portugal, the Labour Law exclusively protects the dependent labour relations. The independent work is regulated by civil law, where the autonomy of the will is the main principle. For companies is more advantageous to hire people under a service agreement since, in that case, the relation is not submitted to the limits established in Labour law and collective bargaining. This practice has nothing wrong, if the performance of work is, in fact, made autonomously. The problem is the increased frequency of the celebration of service agreements to hide a legal relation of subordination. Aware of this and regarding the huge difficulty to demonstrate the existence of subordinated work (that often runs against the employee), the Portuguese legislator devoted some legislative rules in order to facilitate the evidence of legal subordination and, on the other hand, to avoid the misuse of the provision of service agreements. This study focuses precisely on the analysis of this solution, namely the so-called presumption of ‘laboralidade’ and on the lawsuit to recognize the existence of a labour contract. The presumption of the existence of a labour contract is present in the Portuguese legal system since 2003, and received, with the 2009 Labour Code, a new redaction that, according to the doctrine and the jurisprudence, finally approached it to a legal presumption, with the consequent reversal of the burden of proof and, in consequence, made easier to proof the legal subordination, because the employee will just have to plead and prove the existence of two of the elements described in the law to use this presumption. Another change in the Portuguese legal framework is related with the competencies of the Authority for Working Conditions (AWC): now, if during an inspection, the Authority finds a situation that seems to be an undeclared employment situation, it may access the company and, if it does not regularize voluntarily the situation, AWC has a duty to communicate to the public prosecutor, who will begin the lawsuit for the recognition of the existence of an employment contract. To defend the public interest, the action to recognize the existence of an employment contract will follow its terms, even against the employee will. Although the existence of these mechanisms does not solve by itself the problem of evasion of labour law and false ‘green receipts’, it is undeniable that it is an important step in combating fraud in this field.

Keywords: independent work, labour contract, Portugal, service agreement

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Authors: Soniya Takshak, R. K. Sharma

Abstract:

Let q and n be positive integers, then Fᵩ denotes the finite field of q elements, and Fqn denotes the extension of Fᵩ of degree n. Also, Fᵩ* represents the multiplicative group of non-zero elements of Fᵩ, and the generators of Fᵩ* are called primitive elements. A normal element α of a finite field Fᵩⁿ is such that {α, αᵠ, . . . , αᵠⁿ⁻¹} forms a basis for Fᵩⁿ over Fᵩ. Primitive normal elements have several applications in coding theory and cryptography. So, establishing the existence of primitive normal elements under certain conditions is both theoretically important and a natural issue. In this article, we provide a sufficient condition for the existence of a primitive normal element α in Fᵩⁿ of a prescribed primitive norm and non-zero trace over Fᵩ such that f(α) is also primitive, where f(x) ∈ Fᵩⁿ(x) is a rational function of degree sum m. Particularly, we investigated the rational functions of degree sum 4 over Fᵩⁿ, where q = 11ᵏ and demonstrated that there are only 3 exceptional pairs (q, n), n ≥ 7 for which such kind of primitive normal elements may not exist. In general, we show that such elements always exist except for finitely many choices of (q, n). To arrive to our conclusion, we used additive and multiplicative character sums.

Keywords: finite field, primitive element, normal element, norm, trace, character

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Authors: Ibrahim M. S. Shnawa, Naeem R. R. Algebory

Abstract:

The procedure for the assessment of the urinary mucosal cryoglobulin (UMCG) is being reviewed, testified and evaluated. The major features of UMCG are rather similar to that of serum cryoglobulin. Such evident similarities are forming the reality for the existence of the UMCG. There were seven characterizing criteria useable for the identification for UMCG. Upon matching them to the Irish criteria for serum cryoglobulin, some modifications are being proposed to the 16th standards that has been formulated and built as an Irish criterion. The existence of UMCG is being reported for the first time in human chronic infectious bacterial disease.

Keywords: urinary, mucosal, cryoglubulin, standard immunofixation

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Authors: K. A. Tharanga, K. H. H. Damayanthi

Abstract:

Perception is an epistemological concept discussed in Philosophy. Perception, in other word, vision, is one of the ways that human beings get empirical knowledge after five senses. However, we face innumerable problems when achieving knowledge from perception, and therefore the knowledge gained through perception is uncertain. what we see in the external world is not real. These are the major issues that we face when receiving knowledge through perception. Sometimes there is no physical existence of what we really see. In such cases, the perception is relative. The following frames will be taken into consideration when perception is analyzed illusions and delusions, the figure of a physical object, appearance and the reality of a physical object, time factor, and colour of a physical object.seeing and knowing become vary according to the above conceptual frames. We cannot come to a proper conclusion of what we see in the empirical world. Because the things that we see are not really there. Hence the scientific knowledge which is gained from observation is doubtful. All the factors discussed in science remain in the physical world. There is a leap from ones existence to the existence of a world outside his/her mind. Indeed, one can suppose that what he/she takes to be real is just anmassive deception. However, depending on the above facts, if someone begins to doubt about the whole world, it is unavoidable to become his/her view a scepticism or nihilism. This is a certain reality.

Keywords: empirical, perception, sceptisism, nihilism

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