Search results for: platonic triples

Authors: Anthony Overmars, Sitalakshmi Venkatraman

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This paper presents a method for determining all of the co-prime right angle triangles in the Euclidean field by looking at the intersection of the Pythagorean and Platonic right angle triangles and the corresponding lattice that this produces. The co-prime properties of each lattice point representing a unique right angle triangle are then considered. This paper proposes a conjunction between these two ancient disparaging theorists. This work has wide applications in information security where cryptography involves improved ways of finding tuples of prime numbers for secure communication systems. In particular, this paper has direct impact in enhancing the encryption and decryption algorithms in cryptography.

Keywords: Pythagorean triples, platonic triples, right angle triangles, co-prime numbers, cryptography

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Authors: P. K. Rahul Krishna, S. Sandeep Kumar, Jayanthi Sunder Raj

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The article explores one of the important relations between numbers-the Pythagorean triples (triplets) which finds its application in distance measurement, construction of roads, towers, buildings and wherever Pythagoras theorem finds its application. The Pythagorean triples are numbers, that satisfy the condition “In a given set of three natural numbers, the sum of squares of two natural numbers is equal to the square of the other natural number”. There are numerous methods and equations to obtain the triplets, which have their own merits and demerits. Here, quadratic approach for generating triples uses the hypotenuse leg difference method. The advantage is that variables are few and finally only three independent variables are present.

Keywords: arithmetic progression, hypotenuse leg difference method, natural numbers, Pythagorean triplets, quadratic equation

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Authors: Yassir I. Dinar

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We computed the weights of the adjoint action of distinguished sl2-triples in Lie algebra of type Dn using mathematical induction.

Keywords: lie algebra, root systems, representation theory, nilpotent orbits

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Authors: Mark Wiebe

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One of the tasks contemporary analytic philosophers have focused on (e.g., Wolterstorff, Alston, Plantinga, Hasker, and Crisp) is the analysis of certain medieval metaphysical frameworks. This growing body of scholarship has helped clarify and prevent distorted readings of medieval and ancient writers. However, as scholars like Dolezal, Duby, and Brower have pointed out, these analyses have been incomplete or inaccurate in some instances, e.g., with regard to analogical speech or the doctrine of divine simplicity (DDS). Additionally, contributors to this work frequently express opposing claims or fail to note substantial differences between ancient and medieval thinkers. This is the case regarding the comparison between Thomas Aquinas and others. Anton Pegis and Étienne Gilson have argued along this line that Thomas’ metaphysical framework represents a fundamental shift. Gilson describes Thomas’ metaphysics as a turn from a form of “essentialism” to “existentialism.” One should argue that this shift distinguishes Thomas from many Analytic philosophers as well as from other classical defenders of the DDS. Moreover, many of the objections Analytic Philosophers make against Thomas presume the same metaphysical principles undergirding the above-mentioned form of essentialism. This weakens their force against Thomas’ positions. In order to demonstrate these claims, it will be helpful to consider Thomas’ metaphysical outlook alongside that of two other prominent figures: Augustine and Ockham. One area of their thinking which brings their differences to the surface has to do with how each relates to Platonic and Neo-Platonic thought. More specifically, it is illuminating to consider whether and how each distinguishes or conceives essence and existence. It is also useful to see how each approaches the Platonic conflicts between essence and individuality, unity and intelligibility. In both of these areas, Thomas stands out from Augustine and Ockham. Although Augustine and Ockham diverge in many ways, both ultimately identify being with particularity and pit particularity against both unity and intelligibility. Contrastingly, Thomas argues that being is distinct from and prior to essence. Being (i.e., Being in itself) rather than essence or form must therefore serve as the ground and ultimate principle for the existence of everything in which being and essence are distinct. Additionally, since change, movement, and addition improve and give definition to finite being, multitude and distinction are, therefore, principles of being rather than non-being. Consequently, each creature imitates and participates in God’s perfect Being in its own way; the perfection of each genus exists pre-eminently in God without being at odds with God’s simplicity, God has knowledge, power, and will, and these and the many other terms assigned to God refer truly to the being of God without being either meaningless or synonymous. The existentialist outlook at work in these claims distinguishes Thomas in a noteworthy way from his contemporaries and predecessors as much as it does from many of the analytic philosophers who have objected to his thought. This suggests that at least these kinds of objections do not apply to Thomas’ thought.

Keywords: theology, philosophy of religion, metaphysics, philosophy

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Authors: Dumont Maxime, Correia Carlos, Sauvage Jean-François, Schwartz Noah, Gray Morgan

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Context: The concept of the segmented telescope is unavoidable to build extremely large telescopes (ELT) in the quest for spatial resolution, but it also allows one to fit a large telescope within a reduced volume of space (JWST) or into an even smaller volume (Standard Cubesat). Cubesats have tight constraints on the computational burden available and the small payload volume allowed. At the same time, they undergo thermal gradients leading to large and evolving optical aberrations. The pupil segmentation comes nevertheless with an obvious difficulty: to co-phase the different segments. The CubeSat constraints prevent the use of a dedicated wavefront sensor (WFS), making the focal-plane images acquired by the science detector the most practical alternative. Yet, one of the challenges for the wavefront sensing is the non-linearity between the image intensity and the phase aberrations. Plus, for Earth observation, the object is unknown and unrepeatable. Recently, several studies have suggested Neural Networks (NN) for wavefront sensing; especially convolutional NN, which are well known for being non-linear and image-friendly problem solvers. Aims: We study in this paper the prospect of using NN to measure the phasing aberrations of a segmented pupil from the focal-plane image directly without a dedicated wavefront sensing. Methods: In our application, we take the case of a deployable telescope fitting in a CubeSat for Earth observations which triples the aperture size (compared to the 10cm CubeSat standard) and therefore triples the angular resolution capacity. In order to reach the diffraction-limited regime in the visible wavelength, typically, a wavefront error below lambda/50 is required. The telescope focal-plane detector, used for imaging, will be used as a wavefront-sensor. In this work, we study a point source, i.e. the Point Spread Function [PSF] of the optical system as an input of a VGG-net neural network, an architecture designed for image regression/classification. Results: This approach shows some promising results (about 2nm RMS, which is sub lambda/50 of residual WFE with 40-100nm RMS of input WFE) using a relatively fast computational time less than 30 ms which translates a small computation burder. These results allow one further study for higher aberrations and noise.

Keywords: wavefront sensing, deep learning, deployable telescope, space telescope

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Authors: Peter M. Maurer Maurer

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DGL is a context free grammar-based tool for generating random data. Many types of simulator input data require some computation to be placed in the proper format. For example, it might be necessary to generate ordered triples in which the third element is the sum of the first two elements, or it might be necessary to generate random numbers in some sorted order. Although DGL is universal in computational power, generating these types of data is extremely difficult. To overcome this problem, we have enhanced DGL to include features that permit direct computation within the structure of a context free grammar. The features have been implemented as special types of productions, preserving the context free flavor of DGL specifications.

Keywords: DGL, Enhanced Context Free Grammars, Programming Constructs, Random Data Generation

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Authors: Yurii Bloshko, Oksana Olar

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This paper presents the analysis of 6 different classes of Petri nets: fuzzy Petri nets (FPN), generalized fuzzy Petri nets (GFPN), parameterized fuzzy Petri nets (PFPN), T2GFPN, flexible generalized fuzzy Petri nets (FGFPN), binary Petri nets (BPN). These classes were simulated in the special software PNeS® for the analysis of its pros and cons on the example of models which are dedicated to the decision-making process of passenger transport logistics. The paper includes the analysis of two approaches: when input values are filled with the experts’ knowledge; when fuzzy expectations represented by output values are added to the point. These approaches fulfill the possibilities of triples of functions which are replaced with different combinations of t-/s-norms.

Keywords: fuzzy petri net, intelligent computational techniques, knowledge representation, triangular norms

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Authors: Yip Mei Loh

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Plato, as a poet, employs muthos extensively to express his philosophical dialectical development, so the majority of his dialogues are comprised of muthoi. We cannot separate his muthos from his philosophical thought, since the former has great influence in the latter. So the methodology of this paper is first to discuss the dialogue Theaetetus to find out why he compares Socrates to the Greek goddess Artemis; then his concept of Maieutikē will be investigated. At the beginning of Plato’s Theaetetus, Socrates first likens himself to the goddess Artemis, who, though unmarried, has a duty to assist women in labour. Socrates’ role, as Plato portrays, is the same as that of Artemis; and the technē he possesses is Maieutikē, which is to assist his students in giving birth to their mental offspring. This paper will focus on discussion on the Socratic mythological role in Platonic interpretation and dialectics so as to reveal the philosophical meaning of Socratic ignorance.

Keywords: Artemis, ignorance, Maieutikē, muthos

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Authors: Xuewen Yu, Danhui Dan

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The identification of impact load and some hard-to-obtain system parameters is crucial for the activities of analysis, validation, and evaluation in the engineering field. This paper proposes a method that utilizes neural networks based on 1D-CNN to identify the impact load and partial system parameters from measured responses. To this end, forward computations are conducted to provide datasets consisting of the triples (parameter θ, input u, output y). Then neural networks are trained to learn the mapping from input to output, fu|{θ} : y → u, as well as from input and output to parameter, fθ : (u, y) → θ. Afterward, feeding the trained neural networks the measured output response, the input impact load and system parameter can be calculated, respectively. The method is tested on two simulated examples and shows sound accuracy in estimating the impact load (waveform and location) and system parameters.

Keywords: convolutional neural network, impact load identification, system parameter identification, inverse problem

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Authors: Edward J. Kansa, Pavel Holoborodko

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Continuously differentiable radial basis functions (RBFs) are meshfree, converge faster as the dimensionality increases, and is theoretically spectrally convergent. When implemented on current single and double precision computers, such RBFs can suffer from ill-conditioning because the systems of equations needed to be solved to find the expansion coefficients are full. However, the Advanpix extended precision software package allows computer mathematics to resemble asymptotically ideal Platonic mathematics. Additionally, full systems with extended precision execute faster graphical processors units and field-programmable gate arrays because no branching is needed. Sparse equation systems are fast for iterative solvers in a very limited number of cases.

Keywords: partial differential equations, Meshfree radial basis functions, , no restrictions on spatial dimensions, Extended arithmetic precision.

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Authors: Catherine Oluyemo

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In Africa, patriarchy has manifested itself in the socio-cultural, political, economic and legal institutions. The decree of the father as the male head of the family has contributed to the powerlessness of women in African nations. To buttress this perception, in his work Meno, Plato made a declaration in the platonic dialogue that the desirable quality of a man should be the capacity to administer the state, and in the administration of it to benefit his friends and harm his enemies; and he must also be careful not to suffer harm himself. Furthermore, he said: a woman's good worth may also be easily described as ordering her house, keep what is indoors, and obey her husband. The works of Aristotle portrayed women as morally, intellectually, and physically inferior to men; they saw women as the property of men; claimed that women's role in society was to reproduce and serve men in the household; and saw male domination of women as natural and virtuous. This has been sustained for ages and is incessantly impinging on the involvement of women in African leadership positions. The purpose of this paper is to make sense of the concept of patriarchy in relations to women participation in Africa leadership, and its challenges in the participation of women in the leadership positions of Africa. It seeks to discover what women should do to make their voices heard, to participate in leadership arrangements so as to actualize their potentials in contributing to the development of Africa.

Keywords: women, leadership, patriarchy, development, actualize, potentials

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Authors: Yula Milshteyn

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The present study focuses on the science of the “Soul” in Islamic Medieval Psychology.The main objective of the current essay is to analyze the concept of the “soul” in relation to “mental” disorders, in the philosophical psychology and medicinal treatise of Ibn Sina, a Muslim Persian physician-philosopher (known as Avicenna in the Western world) (981-1037 CE). The examination will concentrate on the nature of the soul, and the relationship of the soul to the body, as well as the manifestation of health and sickness in soul and body, The analysis draws on Avicenna’s Psychology (Kitab al-Najat or The Book of Salvation), Remarks and Admonitions (Al-isharat wa al-tanbihat), and the medical treatise – The Canon of Medicine (al-Qānūn fī al-Ṭibb). Avicenna’s psychology of the soul is primarily based on Aristotelian and Neo-platonic paradigms. For Avicenna, soul is a metaphysical, independent substance, which in modern terms implies independence of human consciousness from the material body. The soul however, is linked to the body and controls all its’ faculties or functions. It is suggested that in the specific case study of schizophrenia, it is a disorder pertained to both, soul and body and can be characterized as a multi-faceted neurobiological, physiological, psychological and metaphysical spiritual phenomenon.

Keywords: Avicenna, canon of the medicine, mental disorders, psychology, schizophrenia, soul-body

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Authors: Antonio Breda d’Azevedo

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Regularity has often been present in the form of regular polyhedra or tessellations; classical examples are the nine regular polyhedra consisting of the five Platonic solids (regular convex polyhedra) and the four Kleper-Poinsot polyhedra. These polytopes can be seen as regular maps. Maps are cellular embeddings of graphs (with possibly multiple edges, loops or dangling edges) on compact connected (closed) surfaces with or without boundary. The n-dimensional abstract polytopes, particularly the regular ones, have gained popularity over recent years. The main focus of research has been their symmetries and regularity. Planification of polyhedra helps its spatial construction, yet it destroys its symmetries. To our knowledge there is no “planification” for n-dimensional polytopes. However we show that it is possible to make a “surfacification” of the n-dimensional polytope, that is, it is possible to construct a restrictedly-marked map representation of the abstract polytope on some surface that describes its combinatorial structures as well as all of its symmetries. We also show that there are infinitely many ways to do this; yet there is one that is more natural that describes reflections on the sides ((n−1)-faces) of n-simplices with reflections on the sides of n-polygons. We illustrate this construction with the 4-tetrahedron (a regular 4-polytope with automorphism group of size 120) and the 4-cube (a regular 4-polytope with automorphism group of size 384).

Keywords: abstract polytope, automorphism group, N-simplicies, symmetry

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Authors: Mayuko Matsuoka

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This presentation reports the relationships among EFL(English as a Foreign Language) students’ story comprehension in reading a story written in English and Japanese and empathic reactions. The main focus is put on their self-reflection on past study experiences, one of the empathic reactions after reading a story. One hundred fifty-five first-year university students in Japan read three SRL-themed stories written in English (their foreign language) and those written in Japanese (their mother tongue). The levels of the stories are equivalent, at CEFR(Common European Framework of Reference for Languages) B2 level. The result of categorical correlation analysis shows significant moderate correlations among three empathic reactions in a group reading English versions: having similar emotions as a protagonist, reflecting on their past study experiences, and getting lessons from a story. In addition, the result of logistic regression analysis for the data in a group reading English versions shows the chance of getting lessons from a story significantly approximately doubles if participants’ scores of a comprehension test increases by one, while it approximately triples if participants’ self-reflection occurs. These results do not appear in a group reading Japanese versions. The findings imply that self-reflection may support their comprehension of the English texts and leads to the participants’ getting lessons about SRL.

Keywords: comprehension, lesson, self-reflection, SRL

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Authors: Iris Sauerbrei, Jörg Trojan, Erich Lehner

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Introduction and significance of the study: This study examines if three-dimensional shapes elicit distinct patterns of perceptions. If so, it is relevant for all fields of design, especially for the design of the built environment. Description of basic methodologies: The five platonic solids are the geometrical base for all other three-dimensional shapes, among which tetrahedron and icosahedron provide the clearest representation of the qualities sharp and round. The component pair of attributes ‘sharp versus round’ has already been examined in various surveys in a psychology of perception and in neuroscience by means of graphics, images of products of daily use, as well as by photographs and walk-through-videos of landscapes and architecture. To verify a transfer of outcomes of the existing surveys to the perception of three-dimensional shapes, walk-in models (total height 2.2m) of tetrahedron and icosahedron were set up in a public park in Frankfurt am Main, Germany. Preferences of park visitors were tested by questionnaire; also they were asked to write down associations in a free text. In summer 2015, the tetrahedron was assembled eight times, the icosahedron seven times. In total 288 participants took part in the study; 116 rated the tetrahedron, 172 rated the icosahedron. Findings: Preliminary analyses of the collected data using Wilcoxon Rank-Sum tests show that the perceptions of the two solids differ in respect to several attributes and that each of the tested model show significance for specific attributes. Conclusion: These findings confirm the assumptions and provide first evidence that the perception of three-dimensional shapes are associated to characteristic attributes and to which. In order to enable conscious choices for spatial arrangements in design processes for the built environment, future studies should examine attributes for the other three basic bodies - Octahedron, Cube, and Dodecahedron. Additionally, similarities and differences between the perceptions of two- and three-dimensional shapes as well as shapes that are more complex need further research.

Keywords: 3D shapes, architecture, geometrical features, space perception, walk-in models

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Authors: Jutharat Attawet, Alex Y. Wang, Cindy M. Farquhar, Elizabeth A. Sullivan

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Background: Adverse maternal and perinatal outcomes of multiple pregnancies resulting from multiple embryo transfers (ET) has become significant concerns. This is particularly relevant for gestational carriers since they usually do not have infertility issues. Single embryo transfer (SET) therefore has been encouraged to assist reproductive technology (ART) practice in order to reduce multiple pregnancies. Objectives: This systematic review aims to investigate the pregnancy and birth outcomes of SET and multiple ET in surrogacy arrangements. Search methods: This study is a systematic review. Electronic databases were searched from CINAHL, Medline, Embase, Scopus and ProQuest for studies from 1980 to 2017. Cross-references and national ART reports were also manual searchings. Articles without restriction of English language and study types were accessed. Carrier cycles involving in SET and multiple ET were identified in database searching. The main outcome measures including clinical pregnancy, live delivery and multiple deliveries per gestational carrier cycle were compared between SET and multiple ET. Mantel-Haenzel risk ratios (RRs) with 95% confidence intervals (CIs), using the numbers of outcome events in SET and multiple ET of each study were calculated suing RevMan5.3. Outcomes: The search returned 97 articles of which 5 met the inclusion criteria. Approximately 50% of carrier cycles were transferred a single embryo and 50% were transferred more than one embryo. The clinical pregnancy rate (CPR) was 39% for SET and 53% for multiple ET, which was not significantly different with RR = 0.83 (95% CI: 0.67-1.03). The live delivery rate was 33% for SET and 57% for multiple ET which was not significantly different with RR = 0.78 (95% CI: 0.61-1.00). The multiple delivery rate per carrier was greater risks in the multiple ET carrier cycles (RR =0.4, 95% CI: 0.01-0.26). There were 104 sets of twins (including one set of twins selectively reduced from triplets to twins) and 1 set of triples in the multiple ET carrier cycle. In the SET carrier cycles, there were 2 sets of twins. Significance of the study: SET should be advocated among surrogate carriers to prevent multiple pregnancies and subsequent adverse outcomes for both carrier and baby. Surrogacy practice should be reviewed and surrogate carriers should be fully informed of the risk of adverse maternal and birth outcome of multiple pregnancies due to multiple embryo transfers.

Keywords: assisted reproduction, birth outcomes, carrier, gestational surrogacy, multiple embryo transfer, multiple pregnancy, pregnancy outcomes, single embryo transfer, surrogate mother, systematic review

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Authors: Paramita Banerjee, K. R. S. Chandrakumar, G. P. Das

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Bulk MgH2 has drawn much attention for the purpose of hydrogen storage because of its high hydrogen storage capacity (~7.7 wt %) as well as low cost and abundant availability. However, its practical usage has been hindered because of its high hydrogen desorption enthalpy (~0.8 eV/H2 molecule), which results in an undesirable desorption temperature of 3000C at 1 bar H2 pressure. To surmount the limitations of bulk MgH2 for the purpose of hydrogen storage, a detailed first-principles density functional theory (DFT) based study on the structure and stability of neutral (Mgm) and positively charged (Mgm+) Mg nanoclusters of different sizes (m = 2, 4, 8 and 12), as well as their interaction with molecular hydrogen (H2), is reported here. It has been found that due to the absence of d-electrons within the Mg atoms, hydrogen remained in molecular form even after its interaction with neutral and charged Mg nanoclusters. Interestingly, the H2 molecules do not enter into the interstitial positions of the nanoclusters. Rather, they remain on the surface by ornamenting these nanoclusters and forming new structures with a gravimetric density higher than 15 wt %. Our observation is that the inclusion of Grimme’s DFT-D3 dispersion correction in this weakly interacting system has a significant effect on binding of the H2 molecules with these nanoclusters. The dispersion corrected interaction energy (IE) values (0.1-0.14 eV/H2 molecule) fall in the right energy window, that is ideal for hydrogen storage. These IE values are further verified by using high-level coupled-cluster calculations with non-iterative triples corrections i.e. CCSD(T), (which has been considered to be a highly accurate quantum chemical method) and thereby confirming the accuracy of our ‘dispersion correction’ incorporated DFT calculations. The significance of the polarization and dispersion energy in binding of the H2 molecules are confirmed by performing energy decomposition analysis (EDA). A total of 16, 24, 32 and 36 H2 molecules can be attached to the neutral and charged nanoclusters of size m = 2, 4, 8 and 12 respectively. Ab-initio molecular dynamics (AIMD) simulation shows that the outermost H2 molecules are desorbed at a rather low temperature viz. 150 K (-1230C) which is expected. However, complete dehydrogenation of these nanoclusters occur at around 1000C. Most importantly, the host nanoclusters remain stable up to ~500 K (2270C). All these results on the adsorption and desorption of molecular hydrogen with neutral and charged Mg nanocluster systems indicate towards the possibility of reducing the dehydrogenation temperature of bulk MgH2 by designing new Mg-based nano materials which will be able to adsorb molecular hydrogen via this weak Mg-H2 interaction, rather than the strong Mg-H bonding. Notwithstanding the fact that in practical applications, these interactions will be further complicated by the effect of substrates as well as interactions with other clusters, the present study has implications on our fundamental understanding to this problem.

Keywords: density functional theory, DFT, hydrogen storage, molecular dynamics, molecular hydrogen adsorption, nanoclusters, physisorption

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Authors: Ahlam Ali, Katrina Lappin, Jaine Blayney, Ken Mills

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Leukaemia is the most frequently (30%) occurring type of paediatric cancer. Of these, approximately 80% are acute lymphoblastic leukaemia (ALL) with acute myeloid leukaemia (AML) cases making up the remaining 20% alongside other leukaemias. Unfortunately, children with AML do not have promising prognosis with only 60% surviving 5 years or longer. It has been highlighted recently the need for age-specific therapies for AML patients, with paediatric AML cases having a different mutational landscape compared with AML diagnosed in adult patients. Drug Repurposing is a recognized strategy in drug discovery and development where an already approved drug is used for diseases other than originally indicated. We aim to identify novel combination therapies with the promise of providing alternative more effective and less toxic induction therapy options. Our in-silico analysis highlighted ‘cell death and survival’ as an aberrant, potentially targetable pathway in paediatric AML patients. On this basis, 83 apoptotic inducing compounds were screened. A preliminary single agent screen was also performed to eliminate potentially toxic chemicals, then drugs were constructed into a pooled library with 10 drugs per well over 160 wells, with 45 possible pairs and 120 triples in each well. Seven cell lines were used during this study to represent the clonality of AML in paediatric patients (Kasumi-1, CMK, CMS, MV11-14, PL21, THP1, MOLM-13). Cytotoxicity was assessed up to 72 hours using CellTox™ Green reagent. Fluorescence readings were normalized to a DMSO control. Z-Score was assigned to each well based on the mean and standard deviation of all the data. Combinations with a Z-Score <2 were eliminated and the remaining wells were taken forward for further analysis. A well was considered ‘successful’ if each drug individually demonstrated a Z-Score <2, while the combination exhibited a Z-Score >2. Each of the ten compounds in one well (155) had minimal or no effect as single agents on cell viability however, a combination of two or more of the compounds resulted in a substantial increase in cell death, therefore the ten compounds were de-convoluted to identify a possible synergistic pair/triple combinations. The screen identified two possible ‘novel’ drug pairing, with BCL2 inhibitor ABT-737, combined with either a CDK inhibitor Purvalanol A, or AKT/ PI3K inhibitor LY294002. (ABT-737- 100 nM+ Purvalanol A- 1 µM) (ABT-737- 100 nM+ LY294002- 2 µM). Three possible triple combinations were identified (LY2409881+Akti-1/2+Purvalanol A, SU9516+Akti-1/2+Purvalanol A, and ABT-737+LY2409881+Purvalanol A), which will be taken forward for examining their efficacy at varying concentrations and dosing schedules, across multiple paediatric AML cell lines for optimisation of maximum synergy. We believe that our combination screening approach has potential for future use with a larger cohort of drugs including FDA approved compounds and patient material.

Keywords: AML, drug repurposing, ABT-737, apoptosis

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Authors: Merina Islam

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The feminists have identified the traditional western ethical theories as basically male centered. Feminists are committed to develop a critique showing how the traditional western ethics together with traditional philosophy, irrespective of the claim for gender neutrality, all throughout remained gender-biased. This exclusion of women’s experiences from the moral discourse is justified on the ground that women cannot be moral agents, since they are not rational. By way of entailment, we are thus led to the position that virtues of traditional ethics, so viewed, can nothing but rational and hence male. The ears of traditional Western ethicists have been attuned to male rather than female ethical voices. Right from the Plato, Aristotle, Augustine, Aquinas, Rousseau, Kant, Hegel and even philosophers like Freud, Schopenhauer, Nietzsche and many others the dualism between reason-passion or mind and body started gaining prominence. These, according to them, have either intentionally excluded women or else have used certain male moral experience as the standard for all moral experiences, thereby resulting once again in exclusion of women’s experiences. Men are identified with rationality and hence contrasted with women whose sphere is believed to be that of emotion and feeling. This act of exclusion of women’s experience from moral discourse has given birth to a tradition that emphasizes reason over emotion, universal over the particular, and justice over caring. That patriarchy’s use of gender distinctions in the realm of Ethics has resulted in gender discriminations is an undeniable fact. Hence women’s moral agency is said to have often been denied, not simply by the act of exclusion of women from moral debate or sheer ignorance of their contributions, but through philosophical claims to the effect that women lack moral reason. Traditional or mainstream ethics cannot justify its claim for universality, objectivity and gender neutrality the standards from which were drawn the legitimacy of the various moral maxims or principles of it. Right from the Platonic and Aristotelian period the dualism between reason-passion or mind and body started gaining prominence. Men are identified with rationality and hence contrasted with women whose sphere is believed to be that of emotion and feeling. Through the Association of the masculine values with reason (the feminine with irrational), was created the standard prototype of moral virtues The feminists’ critique of the traditional mainstream Ethics is based on this charge that because of its inherent gender bias, in the name of gender distinctions, Ethics has so far been justifying discriminations. In this paper, attempt would make upon the gender biased-ness of traditional ethics. But Feminists are committed to develop a critique showing how the traditional ethics together with traditional philosophy, irrespective of the claim for gender neutrality, all throughout remained gender-biased. We would try to show to what extent traditional ethics is male centered and consequentially fails to justify its claims for universality and gender neutrality.

Keywords: ethics, gender, male-centered, traditional

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Authors: Brad Fox

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Between something and nothing, a bit of both, neither/nor, a figment of the imagination, the womb of the universe - questions of what matter is, where it exists and what it means continue to surge up from the bottom of our concepts and theories. This paper looks at divergences and convergences, intimations and mistranslations, in a lineage of thought that begins with Plato’s Timaeus, travels through Arabic Spain and Syria, finally to end up in the language of science. Up to the 13th century, philosophers in Christian France based such inquiries on a questionable and fragmented translation of the Timaeus by Calcidius, with a commentary that conflated the Platonic concept of khora (‘space’ or ‘void’) with Aristotle’s hyle (‘primal matter’ as derived from ‘wood’ as a building material). Both terms were translated by Calcidius as silva. For 700 years, this was the only source for philosophers of matter in the Latin-speaking world. Bernard Silvestris, in his Cosmographia, exemplifies the concepts developed before new translations from Arabic began to pour into the Latin world from such centers as the court of Toledo. Unlike their counterparts across the Pyrenees, 13th century philosophers in Muslim Spain had access to a broad vocabulary for notions of primal matter. The prolific and visionary theologian, philosopher, and poet Muhyiddin Ibn Arabi could draw on the Ikhwan Al-Safa’s 10th Century renderings of Aristotle, which translated the Greek hyle as the everyday Arabic word maddah, still used for building materials today. He also often used the simple transliteration of hyle as hayula, probably taken from Ibn Sina. The prophet’s son-in-law Ali talked of dust in the air, invisible until it is struck by sunlight. Ibn Arabi adopted this dust - haba - as an expression for an original metaphysical substance, nonexistent but susceptible to manifesting forms. Ibn Arabi compares the dust to a phoenix, because we have heard about it and can conceive of it, but it has no existence unto itself and can be described only in similes. Elsewhere he refers to it as quwwa wa salahiyya - pure potentiality and readiness. The final portion of the paper will compare Bernard and Ibn Arabi’s notions of matter to the recent ontology developed by theoretical physicist and philosopher Karen Barad. Looking at Barad’s work with the work of Nils Bohr, it will argue that there is a rich resonance between Ibn Arabi’s paradoxical conceptions of matter and the quantum vacuum fluctuations verified by recent lab experiments. The inseparability of matter and meaning in Barad recall Ibn Arabi’s original response to Ibn Rushd’s question: Does revelation offer the same knowledge as rationality? ‘Yes and No,’ Ibn Arabi said, ‘and between the yes and no spirit is divided from matter and heads are separated from bodies.’ Ibn Arabi’s double affirmation continues to offer insight into our relationship to momentary experience at its most fundamental level.

Keywords: Karen Barad, Muhyiddin Ibn Arabi, primal matter, Bernard Silvestris

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