ArgumentJohannes Kepler published hisAstronomia novain 1609, based upon a huge amount of computations. The aim of this paper is to show that Kepler's new astronomy was grounded on methods from numerical analysis. In his research he applied and improved methods that required iterative calculations, and he developed precompiled mathematical tables to solve the problems, including a transcendental equation. Kepler was aware of the shortcomings of his novel methods, and called for a new Apollonius to offer a formal mathematical deduction. (...) He was also in great need of computational power, and his friend and colleague, Wilhelm Schickard, constructed the first prototype of a true mechanical calculator, although it never came into regular use. The article concludes that Kepler's new astronomy was clearly backed up by numerical methods and embedded concepts and challenges of great importance for the future development of numerical analysis. (shrink)

Chemicals have penetrated everyday lives of men who have sex with men as never before, along with new online and mobile technologies used to seek pleasures and connections. Poststructuralist (including queer) explorations of these new intensities show how bodies exist in the form of (political) surfaces able to connect with other bodies and with other objects where they may find/create a function (e.g., reproduce or disrupt hegemonies). This federally funded netnographic study explored how a variety of chemicals such as recreational (...) drugs, pharmaceuticals and steroids are contributing to the construction of gay, bisexual and other men having sex with men (GBMSM) communities and their interactions with idealized masculinities in the age of increasing technology. Five major thematic categories emerged from our analysis: (1) assembling bodies and technologies, (2) becoming orgiastic, (3) experiencing stigma, (4) becoming machinic and (5) negotiating practices. Our analysis explores how and why GBMSM pursue excesses of pleasure and connection through the assemblages they make with sexualized drug use, online platforms and other men. (shrink)

Tuberculosis is caused by bacillus Mycobacterium tuberculosis. In this study, a mathematical model of tuberculosis is analyzed. The numerical behaviour of the considered model is analyzed including basic reproduction number and stability. We applied three numerical techniques to this model, i.e., nonstandard finite difference scheme, Runge–Kutta method of order 4, and forward Euler scheme. NSFD scheme preserves all the essential properties of the model. Acquired results corroborate that NSFD scheme converges for each step size. While the other two (...) schemes failed to preserve some properties of the model such as positivity and convergence. A graphical comparison presented in this study confirms the numerical stability of the NSFD technique shown here is maintained over a large area. (shrink)

In this article, we investigated a deterministic model of pneumonia-meningitis coinfection. Employing the Atangana–Baleanu fractional derivative operator in the Caputo framework, we analyze a seven-component approach based on ordinary differential equations. Furthermore, the invariant domain, disease-free as well as endemic equilibria, and the validity of the model’s potential results are all investigated. According to controller design evaluation and modelling, the modulation technique devised is effective in diminishing the proportion of incidences in various compartments. A fundamental reproducing value is generated by (...) exploiting the next generation matrix to assess the properties of the equilibrium. The system’s reliability is further evaluated. Sensitivity analysis is used to classify the impact of each component on the spread or prevention of illness. Using simulation studies, the impacts of providing therapy have been determined. Additionally, modelling the appropriate configuration demonstrated that lowering the fractional order from 1 necessitates a rapid initiation of the specified control technique at the largest intensity achievable and retaining it for the bulk of the pandemic’s duration. (shrink)

Energy contributes significantly in almost all aspects of human life as well as economic activities and plays a crucial role in the infrastructural development of a county to alleviate poverty. Generating energy from a renewable source such as small hydropower through the application of pump operating as a turbine mode called Pump as Turbine is one of the best alternatives to provide clean and inexpensive energy. Using Pump as Turbine helps in generating reasonably priced hydroelectric power for communities in underdeveloped (...) counties. This study investigates the effects of internal flow behaviour and performance of Pump as Turbine under different rotational speed and flow rate. The rotational speed is an essential physical parameter as it affects the Pump as Turbine operation. A model-specific speed centrifugal pump model with head 32, flow rate of 12.5 and the rotational speed of 2900 rpm, has been selected for the study. Numerical simulations have been conducted using the k-ω turbulence model to solve three-dimensional equations. The pump mode experimental data were used to confirm the results for better analysis. The results predicted that vortex and turbulent kinetic energy increase per rotational speed increase. Also, at the higher rotational speed, very high recirculation of flow is detected at the blade suction chamber, although the pressure side has a smooth flow. This study provides beneficial information which will serve as a reference to help improve PAT performance along with selecting PAT for a small hydropower site. Future works will consider the impact of blade thickness and cavitation in Pump as Turbine. (shrink)

In this study, we implemented a new numerical method known as the Chebyshev Pseudospectral method for solving nonlinear delay differential equations having fractional order. The fractional derivative is defined in Caputo manner. The proposed method is simple, effective, and straightforward as compared to other numerical techniques. To check the validity and accuracy of the proposed method, some illustrative examples are solved by using the present scenario. The obtained results have confirmed the greater accuracy than the modified Laguerre wavelet (...) method, the Chebyshev wavelet method, and the modified wavelet-based algorithm. Moreover, based on the novelty and scientific importance, the present method can be extended to solve other nonlinear fractional-order delay differential equations. (shrink)

To solve fractional delay differential equation systems, the Laguerre Wavelets Method is presented and coupled with the steps method in this article. Caputo fractional derivative is used in the proposed technique. The results show that the current procedure is accurate and reliable. Different nonlinear systems have been solved, and the results have been compared to the exact solution and different methods. Furthermore, it is clear from the figures that the LWM error converges quickly when compared to other approaches. When compared (...) with the exact solution to other approaches, it is clear that LWM is more accurate and gets closer to the exact solution faster. Moreover, on the basis of the novelty and scientific importance, the present method can be extended to solve other nonlinear fractional-order delay differential equations. (shrink)

Solid-state processing of metal material is a very complex physical and chemical process, which is coupled by a series of variations including heat transfer, momentum transfer, mass transfer, and phase change. Applying three-dimensional finite element numerical method to the simulation of solid-state processing can perform analysis of metal material’s forging processes before production trial production, can obtain their relevant information such as material flow law, temperature field, and strain field under the minimum physical test conditions, thereby predicting metal material’s (...) forming defects and improving their forging quality. On the basis of summarizing and analyzing previous research works, this paper expounded the current status and significance of solid-state processing of metal materials, elaborated the development background, current status, and future challenges of 3D finite element numerical simulation, introduced the discrimination method and free surface solution method of numerical simulation calculation, conducted finite element model’s geometric assumptions, material selection, element division, model establishment, parameter selection, and initial and boundary condition determination, and simulated and analyzed rheological casting, remelting heating, thixoforming, and rotary piercing processes of metal materials. The results show that the 3D finite element numerical method can not only simulate various processes of flow field, temperature field, stress field, and microstructure in solid-state processing but also can provide a reliable basis for effectively obtaining a reasonable description and finding a more optimized design plan for metal material processing in a short time, which plays an important role in understanding and analyzing solid metal forming process, controlling and optimizing process parameters, guiding and mastering rheological casting, and secondary heating and rotary piercing of metal materials. (shrink)

The domain of numbers provides a paradigmatic case for investigating interactions of culture, language, and cognition: Numerical competencies are considered a core domain of knowledge, and yet the development of specifically human abilities presupposes cultural and linguistic input by way of counting sequences. These sequences constitute systems with distinct structural properties, the cross-linguistic variability of which has implications for number representation and processing. Such representational effects are scrutinized for two types of verbal numeration systems—general and object-specific ones—that were in (...) parallel use in several Oceanic languages. The analysis indicates that the object-specific systems outperform the general systems with respect to counting and mental arithmetic, largely due to their regular and more compact representation. What these findings reveal on cognitive diversity, how the conjectures involved speak to more general issues in cognitive science, and how the approach taken here might help to bridge the gap between anthropology and other cognitive sciences is discussed in the conclusion. (shrink)

The dynamics of single populations up to ecosystems, are often described by one or a set of non-linear ordinary differential equations. In this paper we review the use of bifurcation theory to analyse these non-linear dynamical systems. Bifurcation analysis gives regimes in the parameter space with quantitatively different asymptotic dynamic behaviour of the system. In small-scale systems the underlying models for the populations and their interaction are simple Lotka-Volterra models or more elaborated models with more biological detail. The latter ones (...) are more difficult to analyse, especially when the number of populations is large. Therefore for large-scale systems the Lotka-Volterra equations are still popular despite the limited realism. Various approaches are discussed in which the different time-scale of ecological and evolutionary biological processes are considered together. (shrink)

This paper studies general numerical networks with support and attack. Our starting point is argumentation networks with the Caminada labelling of three values 1=in, 0=out and ½=undecided. This is generalised to arbitrary values in [01], which enables us to compare with other numerical networks such as predator–prey ecological networks, flow networks, logical modal networks and more. This new point of view allows us to see the place of argumentation networks in the overall landscape of networks and import and (...) export ideas to and from argumentation networks. We make a special effort to make clear how general concepts in general networks relate to the special case of argumentation networks. We pay special attention to the handling of loops and to the special features of numerical support. We find surprising connections with the Dempster–Shafer rule and with the cross-ratio in projective geometry. This paper is an expansion of our 2005 paper and so we also consider higher level features such as numerical attacks on attacks, and propagation of numerical values.We conclude with a brief view of temporal numerical argumentation and with a detailed comparison with related papers published since 2005. (shrink)

The present collection is the very first contribution of this type in the field of sparse recovery. Compressed sensing is one of the important facets of the broader concept presented in the book, which by now has made connections with other branches such as mathematical imaging, inverse problems, numerical analysis and simulation. The book consists of four lecture notes of courses given at the Summer School on "Theoretical Foundations and Numerical Methods for Sparse Recovery" held at the Johann (...) Radon Institute for Computational and Applied Mathematics in Linz, Austria, in September 2009. This unique collection will be of value for a broad community and may serve as a textbook for graduate courses. (shrink)

In philosophical studies regarding mathematical models of dynamical systems, instability due to sensitive dependence on initial conditions, on the one side, and instability due to sensitive dependence on model structure, on the other, have by now been extensively discussed. Yet there is a third kind of instability, which by contrast has thus far been rather overlooked, that is also a challenge for model predictions about dynamical systems. This is the numerical instability due to the employment of numerical methods (...) involving a discretization process, where discretization is required to solve the differential equations of dynamical systems on a computer. We argue that the criteria for numerical stability, as usually provided by numerical analysis textbooks, are insufficient, and, after mentioning the promising development of backward analysis, we discuss to what extent, in practice, numerical instability can be controlled or avoided. (shrink)

This work is devoted to the testing, research and comparative analysis of the most well-known and widely used methods and algorithms for clustering numerical data sets. Multidimensional scaling was applied to evaluate the results of solving the clustering problem by visualizing datasets at all stages of the implementation of the studied algorithms. All algorithms were tested for artificial and real data sets. As a result, for each of the investigated algorithms, the main characteristics were formulated in the form of (...) their relative strengths and weaknesses. Based on the test results, conclusions and recommendations for using these algorithms are formulated. (shrink)

A numerical classification was performed on 69 elements with 54 chemicaland physicochemical properties. The elements fell into clusters in closeaccord with the electron shell s-, p- andd-blocks. The f-block elements were not included forlack of sufficiently complete data. The successive periods ofs- and p-block elements appeared in an ovalconfiguration, with d-block elements lying to one side. Morethan three axes were required to give good representation of thevariation, although the interpretation of the higher axes is difficult.Only 15 properties were scorable (...) for the noble gases, but despite thepaucity of properties reflecting chemical reactivity, analysis of the 69elements on these properties still showed the major features seen fromthe full set. (shrink)

The progress of Mathematics during the nineteenth century was characterised both by an enormous acquisition of new knowledge and by the attempts to introduce rigour in reasoning patterns and mathematical writing. Cauchy’s presentation of Mathematical Analysis was not immediately accepted, and many writers, though aware of that new style, did not use it in their own mathematical production. This paper is devoted to an episode of this sort that took place in Spain during the first half of the century: It (...) deals with the presentation of a method for numerically solving algebraic equations by José Mariano Vallejo, a late Spanish follower of the Enlightenment ideas, politician, writer, and mathematician who published it in the fourth (1840) edition of his book Compendio de Matemáticas Puras y Mistas, claiming to have discovered it on his own. Vallejo’s main achievement was to write down the whole procedure in a very careful way taking into account the different types of roots, although he paid little attention to questions such as convergence checks and the fulfilment of the hypotheses of Rolle’s Theorem. For sure this lack of mathematical care prevented Vallejo to occupy a place among the forerunners of Computational Algebra. (shrink)

A new class of polynomials investigates the numerical solution of the fractional pantograph delay ordinary differential equations. These polynomials are equipped with an auxiliary unknown parameter a, which is obtained using the collocation and least-squares methods. In this study, the numerical solution of the fractional pantograph delay differential equation is displayed in the truncated series form. The upper bound of the solution as well as the error analysis and the rate of convergence theorem are also investigated in this (...) study. In five examples, the numerical results of the present method have been compared with other methods. For the first time, a -polynomials are used in this study to numerically solve delay equations, and accurate approximations have been displayed. (shrink)

Mangarevan traditionally contained two numeration systems: a general one, which was highly regular, decimal, and extraordinarily extensive; and a specific one, which was restricted to specific objects, based on diverging counting units, and interspersed with binary steps. While most of these characteristics are shared by numeration systems in related languages in Oceania, the binary steps are unique. To account for these characteristics, this article draws on—and tries to integrate—insights from anthropology, archeology, linguistics, psychology, and cognitive science more generally. The analysis (...) of mental arithmetic with these systems reveals that both types of systems entailed cognitive advantages and served important functions in the cultural context of their application. How these findings speak to more general questions revolving around the theoretical models and evolutionary trajectory of numerical cognition will be discussed in the. (shrink)

Robot-assisted retinal cannulation is an eye surgical procedure which can dissolve the obstruction by using robot to inject anticoagulant into occluded vessel. The current research on the critical parameters of cannulation for human is scarce because of the immature technology. Considering the influence of microneedle, this work investigated the effects of drug concentration, injection velocity, injection position, and size of clot on cannulation by theoretical analysis and finite element analysis. For finite element analysis, the multiphysics continuum model was established to (...) demonstrate species transport and reaction which simulates the entire lytic process of the occlusive clot, and four cell zones were established to describe the generation of plasmin with the addition of tissue-type plasminogen activator and fibrinolysis of clot by importing subroutines into each cell zone under the conditions of constant clot size and variable size, respectively. The results imply that the most efficient value of tPA concentration is 50 nM, injection velocity is 60 mm/s for clot length of 0.1 mm, and the best position to insert the cannula is 0.5 mm in front of the thrombus. For different clot lengths of 0.1 mm to 0.6 mm, the optimal range of tPA concentration and injection velocity is from 20 nM to 70 nM and from 40 mm/s to 60 mm/s, respectively, and explores the reasonable injection position of 0.3 mm to 0.5 mm in front of clot in a vein of 100 μm. This conclusion can be used to perform robot-assisted cannulation surgery to improve fibrinolytic efficiency. (shrink)

An astonishing volume and diversity of evidence is available for many hypotheses in the biomedical and social sciences. Some of this evidence—usually from randomized controlled trials (RCTs)—is amalgamated by meta-analysis. Despite the ongoing debate regarding whether or not RCTs are the ‘gold-standard’ of evidence, it is usually meta-analysis which is considered the best source of evidence: meta-analysis is thought by many to be the platinum standard of evidence. However, I argue that meta-analysis falls far short of that standard. Different meta-analyses (...) of the same evidence can reach contradictory conclusions. Meta-analysis fails to provide objective grounds for intersubjective assessments of hypotheses because numerous decisions must be made when performing a meta-analysis which allow wide latitude for subjective idiosyncrasies to influence its outcome. I end by suggesting that an older tradition of evidence in medicine—the plurality of reasoning strategies appealed to by the epidemiologist Sir Bradford Hill—is a superior strategy for assessing a large volume and diversity of evidence. (shrink)

Different analyses of complex cardinal numerals have been proposed in Generative Grammar. This article provides an analysis of these expressions based on the Strong Minimalist Thesis, according to which the derivations of linguistic expressions are generated by a simple combinatorial operation, applying in accord with principles external to the language faculty. The proposed derivations account for the asymmetrical structure of additive and multiplicative complexes and for the instructions they provide to the external systems for their interpretation. They harmonize with those (...) of coordinate nouns, and thus offer a unified Minimalist account of their core properties. Firstly, the empirical problem addressed is stated. Secondly, the theoretical framework is presented. Thirdly, Minimalist derivations for additive and multiplicative complexes are provided. Fourthly, the proposed derivations are contrasted with derivations not relying on the Strong Minimalist Thesis. Lastly, consequences for linguistic theory are identified as well as questions open to further inquiry. (shrink)

Phenomenological psychology has emphasized that experience as it is immediately "given" to the experiencing individual is an appropriate subject matter for psychological investigation. Consideration of the methodological implications of this stance suggests that certain text analytic and cluster analytic methods could be used to discern the identifying properties of different types of experience. We present results of a study in which textual analysis was used to identify recurrent properties of participants' verbal accounts of their experience, cluster analysis was used to (...) classify participants' accounts according to the similarity of their profiles of properties, and the resulting clusters were examined for their more or less characteristic prpoerties. Using these methods, three distinct types of experience of a Renaissance painting were identified and described. This demonstration of numerically aided phenomenological methods indicates the compatibility of rigorous and sensitive descriptions of experiential accounts. (shrink)

Identification figures prominently in moral psychological explanations. I argue that in identification the subject has an ‘identity-thought’, which is a thought about her numerical identity with the figure she identifies with. In Freud's psychoanalytic psychology character is founded on unconscious identification with parental figures. Moral philosophers have drawn on psychoanalysis to explain how undesirable or disadvantageous character dispositions are resistant to insight through being unconscious. According to Richard Wollheim's analysis of Freud's theory, identification is the subject's disposition to imagine, (...) unconsciously, her bodily merging with the figure she identifies with. I argue that this explanation of identification is not adequate. Human character is held to be capable of change when self-reflection brings unconscious identifications to conscious self-knowledge. I argue that for self-knowledge these identifications must be an intelligible part of the subject's self-conception, and that Wollheim's ‘merging phantasy’ is not intelligible to the subject in this way. By contrast, the subject's thought that she is numerically identical to the figure she identifies with does provide an intelligible starting-point for reflecting on this identification. This psychoanalytic account provides a clear conception of identification with which to investigate puzzle cases in the moral psychology of character. (shrink)

The world’s diverse written numeral systems are affected by human cognition; in turn, written numeral systems affect mathematical cognition in social environments. The present study investigates the constraints on graphic numerical notation, treating it neither as a byproduct of lexical numeration, nor a mere adjunct to writing, but as a specific written modality with its own cognitive properties. Constraints do not refute the notion of infinite cultural variability; rather, they recognize the infinity of variability within defined limits, thus transcending (...) the universalist/particularist dichotomy. In place of strictly innatist perspectives on mathematical cognition, a model is proposed that invokes domain-specific and notationally-specific constraints to explain patterns in numerical notations. The analysis of exceptions to cross-cultural generalizations makes the study of near-universals highly productive theoretically. The cross-cultural study of patterns in written numbers thus provides a rich complement to the cognitive analysis of writing systems. (shrink)

In this paper, a 3D jerk chaotic system with hidden attractor was explored, and the dissipativity, equilibrium, and stability of this system were investigated. The attractor types, Lyapunov exponents, and Poincare section of the system under different parameters were analyzed. Additionally, a circuit was carried out, and a good similarity between the circuit experimental results and the theoretical analysis testifies the feasibility and practicality of the original system. Furthermore, a robust feedback controller was designed based on the finite-time stability theory, (...) which guarantees the synchronization of 3D jerk master-slave system in finite time and asymptotically converges to the origin. Finally, we also give verification for the discussion in this paper by numerical simulation. (shrink)

This article criticizes the thesis, Suggested by wittgenstein and elaborated and defended by malcolm and others, That the concepts of numerical identity and difference do not apply to pains, Afterimages, Sudden thoughts, And other contents of consciousness. I argue that the arguments offered in support of this thesis cannot account for much of our common practice and language concerning these contents while acknowledging that these categories apply to these contents can account for these practices and language as well as (...) for the examples malcolm emphasizes. On the basis of this analysis I draw some conclusions about the relation of ordinary language to common sense. (shrink)

This book presents a philosophical interpretation to numerical cognition based on dual process theories and heuristics. It shows how investigations in cognitive science can shed light on issues traditionally raised by philosophers of mathematics. The analysis will also help readers to better understand the relationship between current neuroscientific research and the philosophical reflection on mathematics. The author seeks to explain the acquisition of mathematical concepts. To accomplish this, he needs to answer two questions. How can the concepts of approximate (...) numerosity become an object of thought that is so accessible to our consciousness? How are these concepts refined and specified in such a way as to become numbers? Unfortunately, there is currently no model that can truly demonstrate the role of language in the development of numerical skills starting from approximate pre-verbal skills. However, the author details a solution to this problem: dual process theories. It is an approach widely used by theorists focusing on reasoning, decision making, social cognition, and consciousness. Here, he applies this approach to the studies on mathematical knowledge. He details the results brought about by psychological and neuroscientific studies conducted on numerical cognition by key neuroscientists. In the process, he develops the foundations of a new, potential philosophical explanation on mathematical knowledge. (shrink)

The quality of the products coming from different lines of production requires some tests called comparative life tests. For lines having the same facility, the lifetime of the product is distributed by Burr XII, the lifetime distribution, and units are tested under type-I generalized hybrid censoring scheme. The observed censoring data are used under maximum likelihood and the Bayes method to estimate the model parameters. The theoretical results are discussed and assessed through data analysis and Monte Carlo simulation study. Finally, (...) we reported some brief comments obtained from numerical computation. (shrink)

To analyze the task of mental arithmetic with external representations in different number systems we model algorithms for addition and multiplication with Arabic and Roman numerals. This demonstrates that Roman numerals are not only informationally equivalent to Arabic ones but also computationally similar—a claim that is widely disputed. An analysis of our models' elementary processing steps reveals intricate tradeoffs between problem representation, algorithm, and interactive resources. Our simulations allow for a more nuanced view of the received wisdom on Roman numerals. (...) While symbolic computation with Roman numerals requires fewer internal resources than with Arabic ones, the large number of needed symbols inflates the number of external processing steps. (shrink)

The Sciences of the Qurʾān contain information about the process of Qurʾān and its structural characteristics, language and stylistic features, as well as statistical data on the content of the Qurʾān. This information, which contributes significantly to the understanding of the Qurʾān, is generally classified within the relevant narratives and the classifications are sometimes associated with verses. In this context, the way in which the Sciences of the Qurʾān explain the verses, which do not act solely on methodical premises, differs (...) from the Qurʾānic exegesis books. In the Sciences of the Qurʾān, the subject of revelation forms are classified within the frame of the narrations, and the 51st verse of the Sūrat al-Shūrā is frequently referred to. In other words, the related classifications are matched with the 51st verse of the Sūrat al-Shūrā. In the exegesis, this verse is handled more comprehensively considering its context and the literal possibilities. There are two remarkable comments about this verse in terms of its reflection in the revelation classifications. However, on the contrary, it is possible to encounter examples where the verse is subject to specific discussions. One of them belongs to Jār Allāh al-Zamakhsharī (d.538/1144) and the other to Nāṣir al-Dīn al-Bayḍāwī (d. 685/1286). When the exegesis of al-Zamakhsharī and al-Bayḍāwī are examined, it is seen that this verse is the subject of ru’yat Allah (seeing Allah) discussion between Muʿtazila and Ahl al-Sunnah and the classifications are made in this context. However, it is interesting to note that the classification of al-Zamakhsharī is more suitable for the perspective of the Sciences of the Qurʾān. In this study, the codes of the determinations made by al-Zamakhsharī and al-Bayḍāwī related to the 51st verse of Sūrat al-Shūrā was read on the commentaries. While al-Zamakhsharī explains this verse as a proof for the argument that God cannot be seen, al-Bayḍāwī develops an example of reactionary interpretation upon Zamakhsharī’s view. The Sciences of the Qurʾān (as a discipline), which opens a separate title to the ways of revelation, uses this verse as a template and takes it away from the discussion. In the study, the subjective dimensions of the discussion and classifications made in the context of this verse were evaluated. As a result, it is concluded that a classification similar to classification of al-Zamakhsharī has been made in the literature of the Sciences of the Qurʾān as it provides more comprehensive framework. Summary: During the period of revelation of the Holy Qurʾān not only the sunnah and actions of the Prophet which explained the Holy Qurʾān, but also various sources of information based on language and consultation, were used in order to understand the Holy Qurʾān. The first people introduced to the revelation used their own language/oratory skills, which were natural them, to understand the Qurʾān and were also able to observe the events and problems that brought about the revelation of the verses. These elements, used by those first people for understanding the Qurʾān, were readily available in their society. Therefore, understanding of the Qurʾān while the Prophet was still alive did not require a codification of those resources or treatment of the matter on a theoretical level. Subsequent generations mostly compensated the lack of those advantages by the use of the Sciences of the Qurʾān books penned individually after 2nd Century (A.H.), and those written systematically under the collective name "the Sciences of the Qurʾān" starting from the 6th century (A.H.). These works covered many subjects such as the beginning of the revelation, the accentuation of the Qurʾān, the physical development process of the Qurʾānic text, information based on observation as well as the tone and content of the Qurʾān and provided information details for Qurʾānic interpretations. Over time, this information was classified in the Sciences of the Qurʾān literature, organized under various relevant titles and enhanced with examples, numerical and qualitative information. One of the main topics of the Sciences of the Qurʾān is the subject of “revelation and its forms”. In the literature of the Sciences of the Qurʾān, the classifications made under this topic are generally associated with the verse 51 of Sūrat al-Shūrā. In this verse, the forms of communication between Allah (Jalla Jalaluhu) and the servant/prophet are categorized. The context of the verse 51 of the Sūrat al-Shūrā in the tafsīr literature is different from the context in the Sciences of the Qurʾān literature. As a matter of fact, while this verse is examined in detail with respect to the context, concept analysis, and the possibilities of i‘rāb (classical Arabic grammar), it is merely referred to in the Sciences of the Qurʾān. This is due to the fact that the determinations and classifications made in the Sciences of the Qurʾān are shaped mostly in the light of the historical context and narrations of the subject.It is also possible to encounter examples of tafsīr where the 51st verse is made the topic of detailed discussions. There are two remarkable comments about this verse in terms of its reflection in the revelation classifications. One of them belongs to Jār Allāh al-Zamakhsharī (d.538/1144) and the other belongs to Nāṣir al-Dīn al-Bayḍāwī (d. 685/1286). The tafsīr s of al-Zamakhsharī and al-Bayḍāwī make it clear that this verse is the subject of ru’yat Allah discussion between the Muʿtazila and Ahl al-Sunnah and the classifications are made accordingly. The fact that i‘rāb examinations of the two authors are similar and both took into account other linguistic possibilities despite their preferences, which also prove that the points of conflict are not literal. Al-Zamakhsharī thinks that this verse determines the way Allah speaks not only with his prophets but also with all people. According to al-Zamakhsharī, the 51st verse refers to the three forms of communication that takes place between God and any of His servants. Allah communicates with His servants; a) through inspiration, inspiration to heart or through dreams, b) by making His words heard through certain channels, c) by sending one of his angels as a messenger. In the verse, the first is expressed as revelation, the second is to speak behind a veil, and the third is to send a messenger. According to al-Zamakhsharī, Allah's inspiration to the mother of Moses, the dream that He showed to Abraham regarding the sacrificing of his son and inspiration of Psalms to David, all relate to the revelation concept mentioned in the first option. Al-Zamakhsharī believes that revelation from behind a veil is an adage. This adage can be compared to a king speaking with one of those at his service behind a veil/curtain, where the person hears the voice of the king but cannot see him. Allah only spoke to Moses and angels in that manner, and sent angels to speak to His other servants/prophets.As a response to al-Zamakhsharī, al-Bayḍāwī interpreted the verse concisely explaining the 'revelation' (وحيا) as a secret word that is quickly understood. Because, in terms of its nature, revelation is not a word made up of sound waves that come one after another to make words. In the verse, this word refers both to the Night Journey (Mi‘rāj) and the talk mentioned in the hadiths regarding the ru’yat Allah, and Allah speaking to Moses without Moses seeing Allah. However, in the verse min verâi ḥicâb/attributed to the word 'revelation 'من وراء حجاب makes it clear that the expression refers to a form of speech in which Allah is heard but not seen. Therefore, the word 'revelation' refers to a mutual talk and according to al-Bayḍāwī, this is proof that ru’yat Allah is possible. The fact that the classifications made in the Sciences of the Qurʾān literature agrees with the classification of al-Zamakhsharī, not al-Bayḍāwī. This result is closely related to the structural features of the Sciences of the Qurʾān in which authors strive to make general explanations that are beyond sectarian preferences and views. Understanding the verse as a conversation between Allah and man, and not between Allah and His prophet, provides a more comprehensive classification in terms of the use of revelations (not only the use of the word revelation) in the Qurʾān. Thus, the address that was made to Abraham in his dream, the revelation of to Moses' mother, and inspiration to our holy Prophet and other people can be interpreted according to this verse. In addition, the ru’yat Allah debate was excluded from the subject in the classifications made in the Sciences of the Qurʾān and implication of the verse was limited to the talks made in a worldly manner. (shrink)

A novel conservative chaotic system with no equilibrium is investigated in this study. Various dynamics such as the conservativeness, coexistence, symmetry, and invariance are presented. Furthermore, a partial-state feedback control scheme is proposed, and the stable domain of control parameters is analyzed based on the degenerate Hopf bifurcation. In order to verify the numerical simulation analysis, an analog circuit is designed. The simulation results show that the output of the analog circuit system can reproduce the numerical simulation results (...) and verify the correctness of the theoretical analysis. (shrink)

Introduction Numerous guidelines and policies for ethical research practice have evolved over time, how this translates to global health practice in resource-constrained settings is unclear. The purpose of this paper is to describe how the concept of ancillary care has evolved over time and how it is included in the ethics guidelines and policy documents that guide the conduct of research in the global south with both an international focus and providing a specific example of Malawi, where the first author (...) lives and works, as a case study. Methods Discourse analysis was conducted on 34 international ethics guidelines and policy documents. Documents were purposively selected if they contained a set of key terms that reflect the concept of ancillary care. Following a process of inductive discourse analysis, five key interrelated text phrases relating to ancillary care were extracted from the documents. The evolution of these phrases over time was explored as they represented the development of the concept of ancillary care as a component of ethical health research guidance and practice. Results We found key interrelated phrases that represent discourses regarding the evolution of ancillary care including participant protection; provide care as appropriate; supererogation; patient needs prevail over science; and ancillary care as an obligation. Arguments for the provision of ancillary care were characterised by safeguarding the safety, health rights and well-being of study participants. However, despite the evolution of discourse around ethical obligations to provide ancillary care, this is rarely made explicit within guidance documents, leaving interpretive space for differential application in practice. Conclusion While there have been major changes to the ethics guidance that reflect significant evolution in the ethical conduct of research, the specific vocabulary or language used to explain the ethics of researchers' ancillary care obligations to the health needs of their research participants, lacks clarity and consistency. As a result, the concept of ancillary care continues to be under-represented in local ethical guidelines and regulations, with no clear directives for country-level research ethics committees to apply in regulating ancillary care responsibilities. (shrink)

This book is a comprehensive account of what it means to try to quantify health in distributing resources for health care. It examines the concept of QALYs which supposedly makes it more accurate to talk about life in terms of both quality and quantity of years lived when referring to health care policy. It offers an elegant new approach to comparing the costs and benefits of medical interventions. Cost-Utility Analysis is a method designed by economists to aid decision makers distribute (...) scarce resources to areas of health care where they will yield the greatest benefits. Erik Nord questions the feasibility of measuring patients' quality of life meaningfully in numerical terms, as CUA presupposes. He presents an alternative approach called cost-value analysis in which representative samples of the general public express preferences between different health-care programs. In this approach, subjects are allowed to include concerns for fairness that go beyond concerns for efficiency of conventional health economics. (shrink)