Search results for: existence value

Authors: Mohammad Mahmoud Mandurah

Abstract:

The existence of InfoMiracles in scripture is evidence that the scripture has a divine origin. It is also evidence to the existence of God. An InfoMiracle is an information-based miracle. The basic component of an InfoMiracle is a piece of information that could not be obtained by a human except through a divine channel. The existence of a sufficient number of convincing InfoMiracles in a scripture necessitates the existence of the divine source to these InfoMiracles. A mathematical equation is developed to prove that the Qur’an has a divine origin, and hence, prove the existence of God. The equation depends on a single variable only, which is the number of InfoMiracles in the Qur’an. The Qur’an is rich with InfoMiracles. It is shown that the existence of less than 30 InfoMiracles in the Qur’an is sufficient proof to the existence of God and that the Qur’an is a revelation from God.

Keywords: InfoMiracle, God, mathematical proof, miracle, probability

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Authors: Mohamed Houas, Maamar Benbachir

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In this paper, under weak assumptions, we study the existence and uniqueness of solutions for a nonlinear fractional boundary value problem. New existence and uniqueness results are established using Banach contraction principle. Other existence results are obtained using scheafer and krasnoselskii's fixed point theorem. At the end, some illustrative examples are presented.

Keywords: caputo derivative, boundary value problem, fixed point theorem, local conditions

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Authors: Mohammad Motiee

Abstract:

From Kierkegaard to Sartre, the concept of 'being' was debated over various angles in the philosophy of being. Then, the futility, nothingness and absurdity of human condition in the world were all justified and led to a kind of solution by different approaches like Christianity, loss of faith, authentic existence and responsibility. In an extreme concern, the human condition in the world was pondered in different ways and the philosophy of thought tried to render an awareness of such condition for human beings. The present study aims at illustration of some approaches presented by prominent existentialists to justify the controversies in the concept of existence in human life.

Keywords: existence, existentialism, alienation, being

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Authors: Mohammad Motiee

Abstract:

The present study aims at presenting Samuel Beckett's attempts to pierce the world of knowledge and understanding with a hope to approach it though he knew it is unattainable. To know about Beckett more and to get the idea about the notion of the absurd, we found it necessary to find the real meaning of existence both in the notion of the absurd and in Existentialism. Among many philosophers, as is evident in this paper, who worked on the concept of existence, Beckett reveals a very peculiar path by which some labelled him a mere absurdist. In this study, we tried to show that unlike this label and also unlike many philosophers' premise, Beckett did not assign his contemplation on the boundaries of existence but to find a way to retreat from it. This is the only way for him to find the real meaning of Self. While Existentialism advocates primary existence, Beckett's Absurdity appreciates a reliable being in a realm out of limits of the world. The Absurd person has no tendency to put himself in the barriers of time and language. Time imprisons one in the frame of days and nights, the solid dimensions in which the Self cannot be evidenced. Beckett shows sadly how the boundaries and dimensions blind the being and how the absurd meaning of existence arises from such a limit in the mundane realm.

Keywords: existence, absurdity, existentialism, self, alienation, being

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Authors: Reham Alwazzan

Abstract:

Ibn Sina (d. 1037) is perhaps the most important philosopher of the pre-modern era. Among his many contributions, the proof for the existence of the necessary existent stands out. Ibn Sina proceeds to extract each of God’s attributes (sifat) from His necessary existence. Although his ideas met with resistance in some quarters, they found a warm reception in the Akbarian school, particularly in the works of Sadr al-Din al-Qunawi (d. 1274) and ‘Abd al-Razzaq al-Qashani (d. 1335). This paper argues that the influence of Ibn Sina’s concept of necessity (wujub) had a great impact on the founder of the Akbarian school, Muhyi al-Din ibn ‘Arabi (d. 1240). Ibn ‘Arabi reformulates God’s necessary existence (wujud) as God’s necessary/metaphysical mercy (rahma) in order to extract all of the divine names from this primary attribute of God. Even as he denies all influences and insists his work is the product of spiritual unveiling (kashf), Ibn ‘Arabi seems to be following the same path delineated by his illustrious predecessor, if in his own way.

Keywords: existence, Ibn ‘Arabi, Ibn Sina, mercy, necessity

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Authors: Saheed Biodun Qaasim-Badmusi

Abstract:

A lot has been written on peaceful co-existence with non-Muslims in Islam, but little attention is paid to the conflict between Ahadith relating to dissociation from non-Muslims as a kernel of Islamic faith, and the one indicating peaceful co-existence with them. Undoubtedly, proper understanding of seemingly contradictory prophetic traditions is an antidote to the bane of pervasive extremism in our society. This is what calls for need to shed light on ‘Harmonization of Conflict Ahadith between Dissociation and Peaceful Co-existence with Non-Muslims. It is in view of the above that efforts are made in this paper to collate Ahadith pertaining to dissociation from non-Muslims as well as co-existence with them. Consequently, a critical study of their authenticity is briefly explained before proceeding to analysis of their linguistic and contextual meanings. To arrive at the accurate interpretation, harmonization is graphically applied. The result shows that dissociation from non –Muslims as a bedrock of Islamic faith could be explained in Sunnah by prohibition of participating or getting satisfaction from their religious matters, and anti-Islamic activities. Also, freedom of apostasy, ignoring da`wah with wisdom and seeking non-Muslims support against Muslims are frowned upon in Sunnah as phenomenon of dissociation from non –Muslims. All the aforementioned are strictly prohibited in Sunnah whether under the pretext of enhancing peaceful co-existence with non-Muslims or not. While peaceful co-existence with non-Muslims is evidenced in Sunnah by permissibility of visiting the sick among them, exchange of gift with them, forgiving the wrong among them, having good relationship with non-Muslim neighbours, ties of non-Muslim kinship, legal business transaction with them and the like. Finally, the degree of peaceful co-existence with non-Muslims is determined by their attitude towards Islam and Muslims.

Keywords: Ahadith, conflict, co-existence, non-Muslims

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Authors: Thanin Sitthiwirattham, Jiraporn Reunsumrit

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We study the existence of positive solutions to the three points difference summation boundary value problem. We show the existence of at least one positive solution if f is either superlinear or sublinear by applying the fixed point theorem due to Krasnoselskii in cones.

Keywords: positive solution, boundary value problem, fixed point theorem, cone

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Authors: Aycan Gurluyer

Abstract:

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: 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: 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: Saowapa Phaithayawat

Abstract:

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: Yacine Arioua

Abstract:

In this paper, we investigate the existence and uniqueness of solutions for a coupled system of nonlinear Caputo-type Katugampola fractional differential equations with integral boundary conditions. Based upon a contraction mapping principle, Schauders fixed point theorems, some new existence and uniqueness results of solutions for the given problems are obtained. For application, some examples are given to illustrate the usefulness of our main results.

Keywords: fractional differential equations, coupled system, Caputo-Katugampola derivative, fixed point theorems, existence, uniqueness

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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: 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

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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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Authors: Rajkumar N. Ingle

Abstract:

In this paper, the existence of a solution of nonlinear functional random differential equations of the first order is proved under caratheodory condition. The study of the functional random differential equation has got importance in the random analysis of the dynamical systems of universal phenomena. Objectives: Nonlinear functional random differential equation is useful to the scientists, engineers, and mathematicians, who are engaged in N.F.R.D.E. analyzing a universal random phenomenon, govern by nonlinear random initial value problems of D.E. Applications of this in the theory of diffusion or heat conduction. Methodology: Using the concepts of probability theory, functional analysis, generally the existence theorems for the nonlinear F.R.D.E. are prove by using some tools such as fixed point theorem. The significance of the study: Our contribution will be the generalization of some well-known results in the theory of Nonlinear F.R.D.E.s. Further, it seems that our study will be useful to scientist, engineers, economists and mathematicians in their endeavors to analyses the nonlinear random problems of the universe in a better way.

Keywords: Random Fixed Point Theorem, functional random differential equation, N.F.R.D.E., universal random phenomenon

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Authors: Zhenjie Liu

Abstract:

This paper investigates the existence and uniqueness of solutions for singular higher order boundary value problems on time scales by using mixed monotone method. The theorems obtained are very general. For the different time scale, the problem may be the corresponding continuous or discrete boundary value problem.

Keywords: mixed monotone operator, boundary value problem, time scale, green's function, positive solution, singularity

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Authors: D. S. Palimkar

Abstract:

The FRIGDI (functional random integrodifferential inclusion) seems to be new and includes several known random differential inclusions already studied in the literature as special cases have been discussed in the literature for various aspects of the solutions. In this paper, we prove the existence result for FIGDI under the non-convex case of multi-valued function involved in it.Using random fixed point theorem of B. C. Dhage and caratheodory condition. This result is new to the theory of differential inclusion.

Keywords: caratheodory condition, random differential inclusion, random solution, integro-differential inclusion

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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 a massive 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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Authors: Krishnendra Shekhawat

Abstract:

Given a graph G = (V, E), a rectangular dual of G represents the vertices of G by a set of interior-disjoint rectangles such that two rectangles touch if and only if there is an edge between the two corresponding vertices in G. Rectangular duals do not exist for every graph, so we can define maximal rectangular duals. A maximal rectangular dual is a rectangular dual of a graph G such that there exists no graph G ′ with a rectangular dual where G is a subgraph of G ′. In this paper, we enumerate all maximal rectangular duals (or, to be precise, the corresponding planar graphs) up to six nodes and presents a necessary condition for the existence of a rectangular dual. This work allegedly has applications in integrated circuit design and architectural floor plans.

Keywords: adjacency, degree sequence, dual graph, rectangular dual

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Authors: Abdelati El Allaoui, Said Melliani, Lalla Saadia Chadli

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The objective of this paper is to study the existence and uniqueness of Mild solutions for a complex fuzzy evolution equation with nonlocal conditions that accommodates the notion of fuzzy sets defined by complex-valued membership functions. We first propose definition of complex fuzzy strongly continuous semigroups. We then give existence and uniqueness result relevant to the complex fuzzy evolution equation.

Keywords: Complex fuzzy evolution equations, nonlocal conditions, mild solution, complex fuzzy semigroups

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Authors: Triyanto, Rima Vien Permata Hartanto

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Indonesia is a legal state. The consequence of this status is the recognition and protection of the existence of indigenous peoples. This paper aims to describe the dynamics of legal recognition and protection for indigenous peoples within the framework of Indonesian law. This paper is library research based on literature. The result states that although the constitution has normatively recognized the existence of indigenous peoples and their traditional rights, in reality, not all rights were recognized and protected. The protection and recognition for indigenous people need to be strengthened.

Keywords: indigenous peoples, customary law, state law, state of law

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Authors: D. S. Palimkar

Abstract:

Random fixed point theory has received much attention in recent years, and it is needed for the study of various classes of random equations. The study of random fixed point theorems was initiated by the Prague school of probabilistic in the 1950s. The existence and uniqueness of fixed points for the self-maps of a metric space by altering distances between the points with the use of a control function is an interesting aspect in the classical fixed point theory. In a new category of fixed point problems for a single self-map with the help of a control function that alters the distance between two points in a metric space which they called an altering distance function. In this paper, we prove the results of existence of random common fixed point and its uniqueness for a pair of random mappings under weakly contractive condition for generalizing alter distance function in polish spaces using Random Common Fixed Point Theorem for Generalized Weakly Contractions.

Keywords: Polish space, random common fixed point theorem, weakly contractive mapping, altering function

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Authors: Renukha Devi Anandan

Abstract:

Charles Forsman’s The End of The Fxxxing World, I Am Not Okay With This, and Slasher invariably deals with existential themes. They reflect the perplexed situation of the characters torn between the search for existence and the constraints of human conditions that impede them from such realization, ensuing a dilemma deeply-rooted in absurdity and alienation. These characters are social misfits who fail to fashion their existence and develop harmoniously. Therefore, the present paper adopts an Existential approach to examine the vignettes of alienation and absurdity vis-à-vis the characters’ speech, actions, and thoughts. Furthermore, this paper explores the role of death either as a self-destructive behavior or the eternal freedom of man in graphic novels. Findings portrayed how the characters’ absurd existence surrounded by the void, would eventually develop into death. Finally, the study revealed that Forsman’s distinctive serial illustration not only unveiled the predicaments of the characters through their hard-boiled smokescreens in the 21st-century social paradigm but also established graphic novels as part and parcel of a literary genre.

Keywords: existentialism, absurdity, alienation, death, self-destruction, eternal freedom

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Authors: Bireswar Paul, Amitava Datta

Abstract:

Indoor air environment is a big concern in the last few decades in the developing countries, with increased focus on monitoring the air quality. In this work, an experimental study has been conducted to establish the existence of carbon nanoparticles below the size range of 10 nm in the non-sooting zone of a LPG/air partially premixed flame. Mainly, four optical techniques, UV absorption spectroscopy, fluorescence spectroscopy, dynamic light scattering and TEM have been used to characterize and measure the size of carbon nanoparticles in the sampled materials collected from the inner surface of the flame front. The existence of the carbon nanoparticles in the sampled material has been confirmed with the typical nature of the absorption and fluorescence spectra already reported in the literature. The band gap energy shows that the particles are made up of three to six aromatic rings. The size measurement by DLS technique also shows that the particles below the size range of 10 nm. The results of DLS are also corroborated by the TEM image of the same material. 

Keywords: indoor air, carbon nanoparticle, lpg, partially premixed flame, optical techniques

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