Search results for: proofs
Commenced in January 2007
Frequency: Monthly
Edition: International
Paper Count: 28

Search results for: proofs

28 Brain Networks and Mathematical Learning Processes of Children

Authors: Felicitas Pielsticker, Christoph Pielsticker, Ingo Witzke

Abstract:

Neurological findings provide foundational results for many different disciplines. In this article we want to discuss these with a special focus on mathematics education. The intention is to make neuroscience research useful for the description of cognitive mathematical learning processes. A key issue of mathematics education is that students often behave as if their mathematical knowledge is constructed in isolated compartments with respect to the specific context of the original learning situation; supporting students to link these compartments to form a coherent mathematical society of mind is a fundamental task not only for mathematics teachers. This aspect goes hand in hand with the question if there is such a thing as abstract general mathematical knowledge detached from concrete reality. Educational Neuroscience may give answers to the question why students develop their mathematical knowledge in isolated subjective domains of experience and if it is generally possible to think in abstract terms. To address these questions, we will provide examples from different fields of mathematics education e.g. students’ development and understanding of the general concept of variables or the mathematical notion of universal proofs. We want to discuss these aspects in the reflection of functional studies which elucidate the role of specific brain regions in mathematical learning processes. In doing this the paper addresses concept formation processes of students in the mathematics classroom and how to support them adequately considering the results of (educational) neuroscience.

Keywords: brain regions, concept formation processes in mathematics education, proofs, teaching-learning processes

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27 Multidimensional Integral and Discrete Opial–Type Inequalities

Authors: Maja Andrić, Josip Pečarić

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Over the last five decades, an enormous amount of work has been done on Opial’s integral inequality, dealing with new proofs, various generalizations, extensions and discrete analogs. The Opial inequality is recognized as a fundamental result in the analysis of qualitative properties of solution of differential equations. We use submultiplicative convex functions, appropriate representations of functions and inequalities involving means to obtain generalizations and extensions of certain known multidimensional integral and discrete Opial-type inequalities.

Keywords: Opial's inequality, Jensen's inequality, integral inequality, discrete inequality

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26 Towards a Proof Acceptance by Overcoming Challenges in Collecting Digital Evidence

Authors: Lilian Noronha Nassif

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Cybercrime investigation demands an appropriated evidence collection mechanism. If the investigator does not acquire digital proofs in a forensic sound, some important information can be lost, and judges can discard case evidence because the acquisition was inadequate. The correct digital forensic seizing involves preparation of professionals from fields of law, police, and computer science. This paper presents important challenges faced during evidence collection in different perspectives of places. The crime scene can be virtual or real, and technical obstacles and privacy concerns must be considered. All pointed challenges here highlight the precautions to be taken in the digital evidence collection and the suggested procedures contribute to the best practices in the digital forensics field.

Keywords: digital evidence, digital forensics process and procedures, mobile forensics, cloud forensics

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25 Weak Mutually Unbiased Bases versus Mutually Unbiased Bases in Terms of T-Designs

Authors: Mohamed Shalaby, Yasser Kamal, Negm Shawky

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Mutually unbiased bases (MUBs) have an important role in the field of quantum computation and information. A complete set of these bases can be constructed when the system dimension is the power of the prime. Constructing such complete set in composite dimensions is still an open problem. Recently, the concept of weak mutually unbiased bases (WMUBs) in composite dimensions was introduced. A complete set of such bases can be constructed by combining the MUBs in each subsystem. In this paper, we present a comparative study between MUBs and WMUBs in the context of complex projective t-design. Explicit proofs are presented.

Keywords: complex projective t-design, finite quantum systems, mutually unbiased bases, weak mutually unbiased bases

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24 Secure Authentication Scheme Based on Numerical Series Cryptography for Internet of Things

Authors: Maha Aladdin, Khaled Nagaty, Abeer Hamdy

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The rapid advancement cellular networks and wireless networks have laid a solid basis for the Internet of Things. IoT has evolved into a unique standard that allows diverse physical devices to collaborate with one another. A service provider gives a variety of services that may be accessed via smart apps anywhere, at any time, and from any location over the Internet. Because of the public environment of mobile communication and the Internet, these services are highly vulnerable to a several malicious attacks, such as unauthorized disclosure by hostile attackers. As a result, the best option for overcoming these vulnerabilities is a strong authentication method. In this paper, a lightweight authentication scheme that is based on numerical series cryptography is proposed for the IoT environments. It allows mutual authentication between IoT devices Parametric study and formal proofs are utilized to illustrate that the pro-posed approach is resistant to a variety of security threats.

Keywords: internet of things, authentication, cryptography, security protocol

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23 Accelerated Expansion of a Matter-Antimatter Universe and Gravity as an Electromagnetic Force

Authors: Maarten J. Van der Burgt

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A universe containing matter and antimatter can only exist when matter and antimatter repel each other. Such a system, where like attracts like and like repels unlike, will always expand. Calculations made for such a symmetric universe demonstrate that the expansion is consistent with Hubble’s law, the observed increase in the expansion velocity with time, the initial high acceleration and the foam structure of the universe. Conversely, these observations can be considered as proof for a symmetrical universe and for antimatter possessing a negative gravitational mass. A second proof can be found by reinterpreting the behavior of relativistic moving charged particles. Attributing their behavior to a charge defect of √(1-v2/c2) instead of to a mass defect of 1/√(1-v2/c2) makes it plausible that gravitation is an electromagnetic force, as already suggested by Feynman. This would automatically imply that antimatter has a negative gravitational mass. These proofs underpin the untenability of the Weak Equivalence Principle which states that in a gravitational field all structure less point-like particles follow the same path.

Keywords: celestial mechanics, cosmology, gravitation astrophysics, origin of structure, miscellaneous (matter and antimatter)

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22 A Hybrid Watermarking Model Based on Frequency of Occurrence

Authors: Hamza A. A. Al-Sewadi, Adnan H. M. Al-Helali, Samaa A. K. Khamis

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Ownership proofs of multimedia such as text, image, audio or video files can be achieved by the burial of watermark is them. It is achieved by introducing modifications into these files that are imperceptible to the human senses but easily recoverable by a computer program. These modifications would be in the time domain or frequency domain or both. This paper presents a procedure for watermarking by mixing amplitude modulation with frequency transformation histogram; namely a specific value is used to modulate the intensity component Y of the YIQ components of the carrier image. This scheme is referred to as histogram embedding technique (HET). Results comparison with those of other techniques such as discrete wavelet transform (DWT), discrete cosine transform (DCT) and singular value decomposition (SVD) have shown an enhance efficiency in terms of ease and performance. It has manifested a good degree of robustness against various environment effects such as resizing, rotation and different kinds of noise. This method would prove very useful technique for copyright protection and ownership judgment.

Keywords: authentication, copyright protection, information hiding, ownership, watermarking

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21 Rheological Model for Describing Spunlace Nonwoven Behavior

Authors: Sana Ridene, Soumaya Sayeb, Houda Helali, Mohammed Ben Hassen

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Nonwoven structures have a range of applications which include Medical, filtration, geotextile and recently this unconventional fabric is finding a niche in fashion apparel. In this paper, a modified form of Vangheluwe rheological model is used to describe the mechanical behavior of nonwovens fabrics in uniaxial tension. This model is an association in parallel of three Maxwell elements characterized by damping coefficients η1, η2 and η3 and E1, E2, E3 elastic modulus and a nonlinear spring C. The model is verified experimentally with two types of nonwovens (50% viscose /50% Polyester) and (40% viscose/60% Polyester) and a range of three square weights values. Comparative analysis of the theoretical model and the experimental results of tensile test proofs a high correlation between them. The proposed model can fairly well replicate the behavior of nonwoven fabrics during relaxation and sample traction. This allowed us to predict the mechanical behavior in tension and relaxation of fabrics starting only from their technical parameters (composition and weight).

Keywords: mechanical behavior, tensile strength, relaxation, rheological model

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20 Relativistic Effects of Rotation

Authors: Yin Rui, Yin Ming, Wang Yang

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For a rotational reference frame of the theory of special relativity, the critical radius is defined as the distance from the axis to the point where the tangential velocity is equal to the speed of light, and the critical cylinder as the set of all points separated from the axis by this critical radius. Based on these terms, two relativistic effects of rotation are discovered: (i) the tangential velocity in the region of Outside Critical Cylinder (OCC) is not superluminal due to the existence of space-time exchange; (ii) some of the physical quantities of the rotational body have an opposite mathematic sign at OCC versus those at Inside Critical Cylinder (ICC), which is termed as the Critical Cylindrical Effect (CCE). The laboratory experiments demonstrate that the repulsive force exerted on an anion by electrons will change to an attractive force by the electrons in precession while the anion is at OCC of the precession. Thirty-six screenshots from four experimental videos are provided. Theoretical proofs for both space-time exchange and CCE are then presented. The CCEs of field force are also discussed.

Keywords: critical radius, critical cylindrical effect, special relativity, space-time exchange

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19 A Refinement Strategy Coupling Event-B and Planning Domain Definition Language (PDDL) for Planning Problems

Authors: Sabrine Ammar, Mohamed Tahar Bhiri

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Automatic planning has a de facto standard language called Planning Domain Definition Language (PDDL) for describing planning problems. It aims to formalize the planning problems described by the concept of state space. PDDL-related dynamic analysis tools, namely planners and validators, are insufficient for verifying and validating PDDL descriptions. Indeed, these tools made it possible to detect errors a posteriori by means of test activity. In this paper, we recommend a formal approach coupling the two languages Event-B and PDDL, for automatic planning. Event-B is used for formal modeling by stepwise refinement with mathematical proofs of planning problems. Thus, this paper proposes a refinement strategy allowing to obtain reliable PDDL descriptions from an ultimate Event-B model correct by construction. The ultimate Event-B model, correct by construction which is supposed to be translatable into PDDL, is automatically translated into PDDL using our MDE Event-B2PDDL tool.

Keywords: code generation, event-b, PDDL, refinement strategy, translation rules

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18 Small Farm Diversification Opportunities in Viticulture-Winemaking Sector of Georgia

Authors: E. Kharaishvili

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The paper analyses the role of small farms in socio-economic development of agriculture in Georgia and evaluates modern concepts regarding the development of the farms of this size. The scale of farms in Georgia is studied and the major problems are revealed. Opportunities and directions of diversification are discussed from the point of increasing the share of Georgian grapes and wine both on domestic and international markets. It’s shown that the size of vineyard areas is directly reflected on the grape and wine production potential. Accordingly, vineyard area and grape production dynamics is discussed. Comparative analysis of small farms in Georgia and Italy is made and the major differences are identified. Diversification is evaluated based on cost-benefit analysis on the one hand and on the other hand, from the point of promoting economic activities, protecting nature and rural area development. The paper provides proofs for the outcomes of diversification. The key hindering factors for the development of small farms are identified and corresponding conclusions are made, based on which recommendations for diversification of the farms of this size are developed.

Keywords: small farms, scale of farms, diversification, Georgia

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17 Leviathan, the Myth of Evil, Based on Northrop Frye's Archetypal Criticism

Authors: Maryam Pirdehghan

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The myth of Leviathan, its ontology and appearance is often one of the problems of Judeo-Christian religious commentators so that some of them have tried to interpret and explain formation or symbolic implications of this myth in different contexts their specific methods and proofs. However, the Bible has presented only vague references in this field and it is not clear why and how to develop such mentions to create a powerful myth with allegorical and symbolic capacity as Leviathan. Therefore, the paper aims to clarify the process of formation of Leviathan and explore the mythical and symbolic systems related to it, first by adopting the imagological approach and then using the Northrop Frye's Archetypal Criticism. Finally, it is concluded that The Leviathan is rooted in the stories of legendary battles of the beginning of creation and almost continues to live with the same nature into the Old Testament, but continuously, in an interactive process between the Greek and Egyptian mythological networks, it attracts more stories and implications about his existence while maintaining its satanic nature. After intense metamorphosis in Jewish interpretations, it appears in the book of Revelation and finally, becomes one of the princes of Hell in the tradition of Christian demonology. The myth, that has become the archetype and fluidized symbol of evil because of the ambiguity and lack of objectivity on its apparent characteristics, finds symbolical extensive capabilities in Judeo-Christian culture, especially in the mysticism, so that its presence or death has special implications and also fighting against it is taken into account as an external and more internal action.

Keywords: Leviathan, The Evil, Bible, myth, Northrop Frye

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16 A Supervised Approach for Detection of Singleton Spam Reviews

Authors: Atefeh Heydari, Mohammadali Tavakoli, Naomie Salim

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In recent years, we have witnessed that online reviews are the most important source of customers’ opinion. They are progressively more used by individuals and organisations to make purchase and business decisions. Unfortunately, for the reason of profit or fame, frauds produce deceptive reviews to hoodwink potential customers. Their activities mislead not only potential customers to make appropriate purchasing decisions and organisations to reshape their business, but also opinion mining techniques by preventing them from reaching accurate results. Spam reviews could be divided into two main groups, i.e. multiple and singleton spam reviews. Detecting a singleton spam review that is the only review written by a user ID is extremely challenging due to lack of clue for detection purposes. Singleton spam reviews are very harmful and various features and proofs used in multiple spam reviews detection are not applicable in this case. Current research aims to propose a novel supervised technique to detect singleton spam reviews. To achieve this, various features are proposed in this study and are to be combined with the most appropriate features extracted from literature and employed in a classifier. In order to compare the performance of different classifiers, SVM and naive Bayes classification algorithms were used for model building. The results revealed that SVM was more accurate than naive Bayes and our proposed technique is capable to detect singleton spam reviews effectively.

Keywords: classification algorithms, Naïve Bayes, opinion review spam detection, singleton review spam detection, support vector machine

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15 Birth Path and the Vitality of Caring Models in the Continuity of Midwifery

Authors: Elnaz Lalezari, Ramin Ghasemi Shaya

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The birth way is influenced by a fracture within the quiet care handle, making a brokenness of this final one. The pregnant lady has got to interface with numerous experts, both amid the pregnancy, the childbirth, and the puerperium. Be that as it may, amid the final ten a long time, there has been an expanding of the pregnancy care worked by the midwife, who is considered to be the administrator with the correct competences, who can beware of each pregnancy and may profit herself of other professionals' commitments in arrange to make strides the results of maternal and neonatal health. To confirm whether there are proofs of viability that bolster the caseload birthing assistance care show, and in case it is conceivable to apply this show within the birth way in Italy. A amendment of writing has been done utilizing a few look motor (Google, Bing) and particular databases (MEDLINE, CINAHL, Embase, Domestic - ClinicalTrials.gov). There has, too, been a discussion of the Italian directions, the national rules, and the proposals of WHO. Results: The look string, legitimately adjusted to the three databases, has given the taking after comes about: MEDLINE 64 articles, CINAHL 94 articles, Embase 88 articles. From this choice, 14 articles have been extricated: 1 orderly survey, 3 controlled arbitrary trial, 7 observational ponders, 3 subjective studies. The caseload maternity care appears to be an successful and dependable organisational/caring strategy. It reacts to the criterions of quality and security, to the requirements of ladies not as it were amid the pregnancy but moreover amid the post-partum stage. For these reasons, it appears exceptionally valuable also for the birth way within the Italian reality.

Keywords: midwifery, care, caseload, maternity

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14 A Controlled Natural Language Assisted Approach for the Design and Automated Processing of Service Level Agreements

Authors: Christopher Schwarz, Katrin Riegler, Erwin Zinser

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The management of outsourcing relationships between IT service providers and their customers proofs to be a critical issue that has to be stipulated by means of Service Level Agreements (SLAs). Since service requirements differ from customer to customer, SLA content and language structures vary largely, standardized SLA templates may not be used and an automated processing of SLA content is not possible. Hence, SLA management is usually a time-consuming and inefficient manual process. For overcoming these challenges, this paper presents an innovative and ITIL V3-conform approach for automated SLA design and management using controlled natural language in enterprise collaboration portals. The proposed novel concept is based on a self-developed controlled natural language that follows a subject-predicate-object approach to specify well-defined SLA content structures that act as templates for customized contracts and support automated SLA processing. The derived results eventually enable IT service providers to automate several SLA request, approval and negotiation processes by means of workflows and business rules within an enterprise collaboration portal. The illustrated prototypical realization gives evidence of the practical relevance in service-oriented scenarios as well as the high flexibility and adaptability of the presented model. Thus, the prototype enables the automated creation of well defined, customized SLA documents, providing a knowledge representation that is both human understandable and machine processable.

Keywords: automated processing, controlled natural language, knowledge representation, information technology outsourcing, service level management

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13 First Order Moment Bounds on DMRL and IMRL Classes of Life Distributions

Authors: Debasis Sengupta, Sudipta Das

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The class of life distributions with decreasing mean residual life (DMRL) is well known in the field of reliability modeling. It contains the IFR class of distributions and is contained in the NBUE class of distributions. While upper and lower bounds of the reliability distribution function of aging classes such as IFR, IFRA, NBU, NBUE, and HNBUE have discussed in the literature for a long time, there is no analogous result available for the DMRL class. We obtain the upper and lower bounds for the reliability function of the DMRL class in terms of first order finite moment. The lower bound is obtained by showing that for any fixed time, the minimization of the reliability function over the class of all DMRL distributions with a fixed mean is equivalent to its minimization over a smaller class of distribution with a special form. Optimization over this restricted set can be made algebraically. Likewise, the maximization of the reliability function over the class of all DMRL distributions with a fixed mean turns out to be a parametric optimization problem over the class of DMRL distributions of a special form. The constructive proofs also establish that both the upper and lower bounds are sharp. Further, the DMRL upper bound coincides with the HNBUE upper bound and the lower bound coincides with the IFR lower bound. We also prove that a pair of sharp upper and lower bounds for the reliability function when the distribution is increasing mean residual life (IMRL) with a fixed mean. This result is proved in a similar way. These inequalities fill a long-standing void in the literature of the life distribution modeling.

Keywords: DMRL, IMRL, reliability bounds, hazard functions

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12 The Concept of Accounting in Islamic Transactions

Authors: Ahmad Abdulkadir Ibrahim

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The Islamic law of transactions laid down the methods and instruments of accounting and analyzed its basic assumptions in the modern world. There is a need to examine the implications of accounting initiatives in the Muslim world and attempt to outline the important characteristics of Islamic accounting and how Islamic accounting resolves the problem of measuring the cost of Murabaha goods in case of exchange rate variation. The research tends to discuss an analytical approach to the Islamic accounting concept as well as elaborating the jurisprudential matter and practical aspects of accounting in Islamic financial transactions. It also aims to alert the practitioners of accounting in the Islamic world to be aware of the concept of accounting in Islamic jurisprudence and its historical development. The methodology adopted in this research is the qualitative method through the consultation of relevant literature, which focuses on the thematic study of the subject matter. This is followed by an analysis and discussion of the contents of the materials used. It is concluded that Islamic accounting is unique in its norms as it has been characterized by fairness, accuracy in measuring tools, truthfulness, mutual trust, moderation in making a profit, and tolerance. It was also qualified by capacity and flexibility in terms of the tools and terminology used and invented by Islamic jurisprudence in the accounting system, which indicates its validity and consistency anytime and anywhere. An important conclusion of the research also lies in the refutation of the popular idea that an Italian writer known as Luca Pacilio was the first writer who developed the basis of double-entry due to the presented proofs by Muslim scholars of critical accounting developments, which cannot be ignored. It concludes further that Islamic jurisprudence draws the accounting system codified in the foundations of a market that is far from usury, fraud, cheating, and unfair competition in all areas.

Keywords: accounting, Islamic accounting, Islamic transactions, Islamic jurisprudence, double entry, murabaha, characteristics

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11 Symmetry Properties of Linear Algebraic Systems with Non-Canonical Scalar Multiplication

Authors: Krish Jhurani

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The research paper presents an in-depth analysis of symmetry properties in linear algebraic systems under the operation of non-canonical scalar multiplication structures, specifically semirings, and near-rings. The objective is to unveil the profound alterations that occur in traditional linear algebraic structures when we replace conventional field multiplication with these non-canonical operations. In the methodology, we first establish the theoretical foundations of non-canonical scalar multiplication, followed by a meticulous investigation into the resulting symmetry properties, focusing on eigenvectors, eigenspaces, and invariant subspaces. The methodology involves a combination of rigorous mathematical proofs and derivations, supplemented by illustrative examples that exhibit these discovered symmetry properties in tangible mathematical scenarios. The core findings uncover unique symmetry attributes. For linear algebraic systems with semiring scalar multiplication, we reveal eigenvectors and eigenvalues. Systems operating under near-ring scalar multiplication disclose unique invariant subspaces. These discoveries drastically broaden the traditional landscape of symmetry properties in linear algebraic systems. With the application of these findings, potential practical implications span across various fields such as physics, coding theory, and cryptography. They could enhance error detection and correction codes, devise more secure cryptographic algorithms, and even influence theoretical physics. This expansion of applicability accentuates the significance of the presented research. The research paper thus contributes to the mathematical community by bringing forth perspectives on linear algebraic systems and their symmetry properties through the lens of non-canonical scalar multiplication, coupled with an exploration of practical applications.

Keywords: eigenspaces, eigenvectors, invariant subspaces, near-rings, non-canonical scalar multiplication, semirings, symmetry properties

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10 Designing of Oat Drink with Phytonutrients Assigned for Pro-Health Oriented Consumers

Authors: Gramza-Michalowska Anna, Skrety Joanna, Anna Zywica, Kobus-Cisowska Joanna, Kmiecik Dominik, Korczak Jozef

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Background: Modern consumer highly appreciates the positive influence of consumed products on well-being and overall health. High acceptance of new food is a result of intensified research showing many proofs confirming that food offers significant prophylactic and therapeutic potential, next to its basic nutritional function. Objective: Proposition of the technology of unsweetened oat drinks enriched with plant extracts for pro-health oriented individuals. We investigated the effects of selected plant extracts addition on antioxidative capacity and consumer’s acceptance of drinks as representative of all day diet product. Methods: The analysis of the basic composition and antioxidant properties of the drinking product was conducted. Basic composition included protein, lipids and fiber content. Antioxidant capacity of drink was evaluated with use radical scavenging methods (DPPH, ABTS), ORAC value and FRAP. Proposed drink as new product was also characterized with sensory analysis, which included color, aroma, taste, consistency and overall acceptance. Results: Results showed that addition of plant extracts into a oat drink allowed to enhance its antioxidant potential and influenced significantly its sensory values. The preferred composition and properties of designed beverage permit claim that it can have a positive impact on the health of the consumers. Conclusion: Designed oat drink would be an answer for pro-healthy life style of the consumers. Results showed that product with plant extracts addition would be accepted by the consumers and because of its antioxidative potential could be an important factor in prevention of free radicals influence on human organism.

Keywords: phytonutrients, pro-health, well-being, antioxidant potential, sensory value

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9 The Political Economy of Adult Education and Development: A Review in European Union

Authors: Pantelis Sklias, Panagiota Chatzimichailidou

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This study intents to clarify the nexus of adult education and economic development within the methodological framework of political economy within EU. The main logic behind this study is that economies with a higher level of adult education have higher levels of economic development. Despite the assumption that policy making in adult education will clearly be facilitated by any ‘proofs’ of efficiency, mainly monetary, this study acknowledges the limitations following the use of the narrow economic approaches embedded in the neoclassical framework and proposes that the methodological framework of political economy is the most relevant to explore the correlation between adult education and economic development. Focusing only on neoclassical economics to explore the financial impact of adult education, it will marginalize the consideration of its history, producing a short of historical amnesia, besides the social harm, namely the devaluation of its socio-cultural influences. On the other side the political economy perspective offers a wider perception of adult education’s profits from a quantitative and a qualitative perspective too. The understanding of adult education engages questions of political economy because it is identified mainly as means of transformation, either personal or societal, serving humanistic values, besides its accepted monetary attributes. The political economy elevates questions regarding how the three institutional arrangements -the state, the market, and the civil society, are engaged in promoting adult education and therefore how adult education could reinforce economic development. Here the economic substance is still considered but it is placed into a wider social spectrum, where politics, economy, and history interact with one another. This study restricts itself in EU and explores the role of the three institutional arrangements both in the formulation of policy planning, and in the mental transformational process of the individual learners, which opens the path to a deeper understanding of the interaction between the individual and the social action, and therefore between adult education and economic development. This study also elevates the idea that economic development can have a positive impact on the unification of Europe, which encompasses economic, political, and cultural components.

Keywords: adult education, economic development, EU, political economy, unification of Europe

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8 Designing of Food Products with Seasoned Plant Components Assigned for Obese and Diabetic Individuals

Authors: A. Gramza-Michałowska, J. Skręty, M. Antczak, J. Kobus-Cisowska, D. Kmiecik, J. Korczak, Kulczyński Bartosz

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Background: Modern consumer highly appreciates the correlation between eating habits and health. Intensified research showed many proofs confirming that food besides its basic nutritional function, possess also significant prophylactic and therapeutic potential. Preventive potential of selected food is commonly used as improvement factor of patients life standard. World Health Organization indicates that diabetes (Diabetes mellitus) and obesity are two of the most common and dangerous diseases. Diet therapy is an element of diabetes education program and a part of healing process, allowing maintaining and remaining the optimal metabolic state of the system. It must be remembered that diabetes treatment should be individualized to each patient. One of highly recommended vegetable for diabetes is asparagus (Asparagus officinalis L.), low calories common plant, growing in European countries. Objective: To propose the technology of unsweetened muesli production with addition of new components, we investigated the effects of selected vegetable addition on antioxidative capacity and consumer’s acceptance of muesli as representative of breakfast product. Methods: Muesli was formulated from a composition of oat flakes, flaxseed, bran, carrots, broccoli and asparagus. Basic composition of muesli was evaluated as content of protein, lipids, fatty acid composition, ash, selected minerals and caloricity. Antioxidant capacity of muesli was evaluated with use radical scavenging methods (DPPH, ABTS), ORAC value and PCL - photochemiluminescence antiradical potential. Proposed muesli as new product was also characterized with sensory analysis, which included color, scent, taste, consistency and overall acceptance of a product. Results: Results showed that addition of freeze-dried asparagus into muesli allowed to lower the fat content and caloricity of a product according to the base product. No significant loss in antioxidant potential was evaluated, also the sensory value of a product was not negative. Conclusion: Designed muesli would be an answer for obese people looking for healthy snack during the daytime. Results showed that product with asparagus addition would be accepted by the consumers and because of its antidiabetic potential could be a n important factor in prevention of diabetes or obesity. Financial support by the UE Project no PO IG 01.01.00.00-061/09

Keywords: muesli, vegetables, asparagus, antioxidant potential, lipids

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7 The Incoherence of the Philosophers as a Defense of Philosophy against Theology

Authors: Edward R. Moad

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Al-Ghazali’s Tahāfat al Falāsifa is widely construed as an attack on philosophy in favor of theological fideism. Consequently, he has been blamed for ‘death of philosophy’ in the Muslim world. ‘Falsifa’ however is not philosophy itself, but rather a range of philosophical doctrines mainly influenced by or inherited form Greek thought. In these terms, this work represents a defense of philosophy against what we could call ‘falsifical’ fideism. In the introduction, Ghazali describes his target audience as, not the falasifa, but a group of pretenders engaged in taqlid to a misconceived understanding of falasifa, including the belief that they were capable of demonstrative certainty in the field of metaphysics. He promises to use falsifa standards of logic (with which he independently agrees), to show that that the falasifa failed to demonstratively prove many of their positions. Whether or not he succeeds in that, the exercise of subjecting alleged proofs to critical scrutiny is quintessentially philosophical, while uncritical adherence to a doctrine, in the name of its being ‘philosophical’, is decidedly unphilosophical. If we are to blame the intellectual decline of the Muslim world on someone’s ‘bad’ way of thinking, rather than more material historical circumstances (which is already a mistake), then blame more appropriately rests with modernist Muslim thinkers who, under the influence of orientalism (and like Ghazali’s philosophical pretenders) mistook taqlid to the falasifa as philosophy itself. The discussion of the Tahāfut takes place in the context of an epistemic (and related social) hierarchy envisioned by the falasifa, corresponding to the faculties of the sense, the ‘estimative imagination’ (wahm), and the pure intellect, along with the respective forms of discourse – rhetoric, dialectic, and demonstration – appropriate to each category of that order. Al-Farabi in his Book of Letters describes a relation between dialectic and demonstration on the one hand, and theology and philosophy on the other. The latter two are distinguished by method rather than subject matter. Theology is that which proceeds dialectically, while philosophy is (or aims to be?) demonstrative. Yet, Al-Farabi tells us, dialectic precedes philosophy like ‘nourishment for the tree precedes its fruit.’ That is, dialectic is part of the process, by which we interrogate common and imaginative notions in the pursuit of clearly understood first principles that we can then deploy in the demonstrative argument. Philosophy is, therefore, something we aspire to through, and from a discursive condition of, dialectic. This stands in apparent contrast to the understanding of Ibn Sina, for whom one arrives at the knowledge of first principles through contact with the Active Intellect. It also stands in contrast to that of Ibn Rushd, who seems to think our knowledge of first principles can only come through reading Aristotle. In conclusion, based on Al-Farabi’s framework, Ghazali’s Tahafut is a truly an exercise in philosophy, and an effort to keep the door open for true philosophy in the Muslim mind, against the threat of a kind of developing theology going by the name of falsifa.

Keywords: philosophy, incoherence, theology, Tahafut

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6 A Content Analysis of the Introduction to the Philosophy of Religion Literature Published in the West between 1950-2010 in Terms of Definition, Method and Subjects

Authors: Fatih Topaloğlu

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Although philosophy is inherently a theoretical and intellectual activity, it should not be denied that environmental conditions influence the formation and shaping of philosophical thought. In this context, it should be noted that the Philosophy of Religion has been influential in the debates in the West, especially since the beginning of the 20th century, and that this influence has dimensions that cannot be limited to academic or intellectual fields. The issues and problems that fall within the field of interest of Philosophy of Religion are followed with interest by a significant proportion of society through popular publications. Philosophy of Religion has its share in many social, economic, cultural, scientific, political and ethical developments. Philosophy of Religion, in the most general sense, can be defined as a philosophical approach to religion or a philosophical way of thinking and discussing religion. Philosophy of Religion tries to explain the epistemological foundations of concepts such as belief and faith that shape religious life by revealing their meaning for the individual. Thus, Philosophy of Religion tries to evaluate the effect of beliefs on the individual's values, judgments and behaviours with a comprehensive and critical eye. The Philosophy of Religion, which tries to create new solutions and perspectives by applying the methods of philosophy to religious problems, tries to solve these problems not by referring to the holy book or religious teachings but by logical proofs obtained through the possibilities of reason and evidence filtered through the filter of criticism. Although there is no standard method for doing Philosophy of Religion, it can be said that an approach that can be expressed as thinking about religion in a rational, objective, and consistent way is generally accepted. The evaluations made within the scope of Philosophy of Religion have two stages. The first is the definition stage, and the second is the evaluation stage. In the first stage, the data of different scientific disciplines, especially other religious sciences, are utilized to define the issues objectively. In the second stage, philosophical evaluations are made based on this foundation. During these evaluations, the issue of how the relationship between religion and philosophy should be established is extremely sensitive. The main thesis of this paper is that the Philosophy of Religion, as a branch of philosophy, has been affected by the conditions caused by the historical experience through which it has passed and has differentiated its subjects and the methods it uses to realize its philosophical acts over time under the influence of these conditions. This study will attempt to evaluate the validity of this study based on the "Introduction to Philosophy of Religion" literature, which we assume reflects this differentiation. As a result of this examination will aim to reach some factual conclusions about the nature of both philosophical and religious thought, to determine the phases that the Philosophy of Religion as a discipline has gone through since the day it emerged, and to investigate the possibilities of a holistic view of the field.

Keywords: content analysis, culture, history, philosophy of religion, method

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5 Acrylate-Based Photopolymer Resin Combined with Acrylated Epoxidized Soybean Oil for 3D-Printing

Authors: Raphael Palucci Rosa, Giuseppe Rosace

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Stereolithography (SLA) is one of the 3D-printing technologies that has been steadily growing in popularity for both industrial and personal applications due to its versatility, high accuracy, and low cost. Its printing process consists of using a light emitter to solidify photosensitive liquid resins layer-by-layer to produce solid objects. However, the majority of the resins used in SLA are derived from petroleum and characterized by toxicity, stability, and recalcitrance to degradation in natural environments. Aiming to develop an eco-friendly resin, in this work, different combinations of a standard commercial SLA resin (Peopoly UV professional) with a vegetable-based resin were investigated. To reach this goal, different mass concentrations (varying from 10 to 50 wt%) of acrylated epoxidized soybean oil (AESO), a vegetable resin produced from soyabean oil, were mixed with a commercial acrylate-based resin. 1.0 wt% of Diphenyl(2,4,6-trimethylbenzoyl) phosphine oxide (TPO) was used as photo-initiator, and the samples were printed using a Peopoly moai 130. The machine was set to operate at standard configurations when printing commercial resins. After the print was finished, the excess resin was drained off, and the samples were washed in isopropanol and water to remove any non-reacted resin. Finally, the samples were post-cured for 30 min in a UV chamber. FT-IR analysis was used to confirm the UV polymerization of the formulated resin with different AESO/Peopoly ratios. The signals from 1643.7 to 1616, which corresponds to the C=C stretching of the AESO acrylic acids and Peopoly acrylic groups, significantly decreases after the reaction. The signal decrease indicates the consumption of the double bonds during the radical polymerization. Furthermore, the slight change of the C-O-C signal from 1186.1 to 1159.9 decrease of the signals at 809.5 and 983.1, which corresponds to unsaturated double bonds, are both proofs of the successful polymerization. Mechanical analyses showed a decrease of 50.44% on tensile strength when adding 10 wt% of AESO, but it was still in the same range as other commercial resins. The elongation of break increased by 24% with 10 wt% of AESO and swelling analysis showed that samples with a higher concentration of AESO mixed absorbed less water than their counterparts. Furthermore, high-resolution prototypes were printed using both resins, and visual analysis did not show any significant difference between both products. In conclusion, the AESO resin was successful incorporated into a commercial resin without affecting its printability. The bio-based resin showed lower tensile strength than the Peopoly resin due to network loosening, but it was still in the range of other commercial resins. The hybrid resin also showed better flexibility and water resistance than Peopoly resin without affecting its resolution. Finally, the development of new types of SLA resins is essential to provide new sustainable alternatives to the commercial petroleum-based ones.

Keywords: 3D-printing, bio-based, resin, soybean, stereolithography

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4 Teachers’ Instructional Decisions When Teaching Geometric Transformations

Authors: Lisa Kasmer

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Teachers’ instructional decisions shape the structure and content of mathematics lessons and influence the mathematics that students are given the opportunity to learn. Therefore, it is important to better understand how teachers make instructional decisions and thus find new ways to help practicing and future teachers give their students a more effective and robust learning experience. Understanding the relationship between teachers’ instructional decisions and their goals, resources, and orientations (beliefs) is important given the heightened focus on geometric transformations in the middle school mathematics curriculum. This work is significant as the development and support of current and future teachers need more effective ways to teach geometry to their students. The following research questions frame this study: (1) As middle school mathematics teachers plan and enact instruction related to teaching transformations, what thinking processes do they engage in to make decisions about teaching transformations with or without a coordinate system and (2) How do the goals, resources and orientations of these teachers impact their instructional decisions and reveal about their understanding of teaching transformations? Teachers and students alike struggle with understanding transformations; many teachers skip or hurriedly teach transformations at the end of the school year. However, transformations are an important mathematical topic as this topic supports students’ understanding of geometric and spatial reasoning. Geometric transformations are a foundational concept in mathematics, not only for understanding congruence and similarity but for proofs, algebraic functions, and calculus etc. Geometric transformations also underpin the secondary mathematics curriculum, as features of transformations transfer to other areas of mathematics. Teachers’ instructional decisions in terms of goals, orientations, and resources that support these instructional decisions were analyzed using open-coding. Open-coding is recognized as an initial first step in qualitative analysis, where comparisons are made, and preliminary categories are considered. Initial codes and categories from current research on teachers’ thinking processes that are related to the decisions they make while planning and reflecting on the lessons were also noted. Surfacing ideas and additional themes common across teachers while seeking patterns, were compared and analyzed. Finally, attributes of teachers’ goals, orientations and resources were identified in order to begin to build a picture of the reasoning behind their instructional decisions. These categories became the basis for the organization and conceptualization of the data. Preliminary results suggest that teachers often rely on their own orientations about teaching geometric transformations. These beliefs are underpinned by the teachers’ own mathematical knowledge related to teaching transformations. When a teacher does not have a robust understanding of transformations, they are limited by this lack of knowledge. These shortcomings impact students’ opportunities to learn, and thus disadvantage their own understanding of transformations. Teachers’ goals are also limited by their paucity of knowledge regarding transformations, as these goals do not fully represent the range of comprehension a teacher needs to teach this topic well.

Keywords: coordinate plane, geometric transformations, instructional decisions, middle school mathematics

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3 Investigations at the Settlement of Oglankala

Authors: Ayten Tahirli

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Settlements and grave monuments discovered by archeological excavations conducted in Nakhchivan Autonomous Republic have a special place in studying the Ancient history of Azerbaijan between the 4th century B.C. and the 3rd century A.C. From this point of view, the archeological excavations and investigations conducted at Oglankala, Goshatapa, Babatapa, Pusyan, Agvantapa, Meydantapa and other monuments in Nakhchivan have a specific place. From this point of view, the conclusions of archeological research conducted at the Oglankala settlement enable studying of Nakhchivan history, economic life and trade relationships broadly. Oglankala, which is located on Garatapa Mountain with a space of 50 ha, was the largest fortress in Nakhchivan and one of the largest fortresses in the South Caucasus during the Middle Iron Age. The territory where the monument is located is very important in terms of keeping Sharur Lowland, which has great importance for agriculture and is the most productive territory in Nakhchivan, where Arpachay passes starting from the Lesser Caucasus. During the excavations between 1988 and 1989 at Oglankala, covering the fortress's history belonging to the Early and Middle Iron Ages, indisputable proofs showing that the territory was an important political center were discovered at that territory. Oglankala was the capital city of an independent government during the Middle Iron Age. It maintained economic and cultural relationships with the neighboring Urartu Government and was the capital city of a city government covered by a strong protection system in the centuries after the collapse of the Achaemenid Empire. It is need say that broader archeological excavations at Oglankala City were first started by Vali Bakhshaliyev, the Department Head of the Institute of History, Ethnography and Archeology of ANAS Nakhchivan Branch. Between 1988 and 1989, V.B. Bakhshaliyev conducted an excavation within an area of 320 square meters at Oglankala. Since 2006, Oglankala has become a research object for the International Azerbaijan-USA archeological expedition. In 2006, Lauren Ristvet from Pennsylvania State University, Veli Bakhshaliyev from the Nakhchivan Branch of Azerbaijan National Academy of Sciences and Safar Ashurov from Baku Office of Azerbaijan National Academy of Sciences, together with their other colleagues and students, started to study the ancient history of that magic area. During the archeological research conducted by an international expedition between 2008 and 2011 under the supervision of Vali Bakhshaliyev, the remnants of a palace and the protective walls of a citadel constructed between late 9th century B.C. and early 8th century A.C. were discovered in that residential area. It was found out that Oglankala was the capital city of a small government established at Sharur Lowland during the Middle Iron Age and struggled against the Urartu by establishing a union with the local tribes. That government had a specific cuneiform script. Between the 4th and 2nd centuries B.C., Oglankala and the territory it covered was one of the major political centers of the Atropathena Government.

Keywords: Nakhchivan, Oglankala, settlement, ceramic, archaeological excavation

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2 Medicompills Architecture: A Mathematical Precise Tool to Reduce the Risk of Diagnosis Errors on Precise Medicine

Authors: Adriana Haulica

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Powered by Machine Learning, Precise medicine is tailored by now to use genetic and molecular profiling, with the aim of optimizing the therapeutic benefits for cohorts of patients. As the majority of Machine Language algorithms come from heuristics, the outputs have contextual validity. This is not very restrictive in the sense that medicine itself is not an exact science. Meanwhile, the progress made in Molecular Biology, Bioinformatics, Computational Biology, and Precise Medicine, correlated with the huge amount of human biology data and the increase in computational power, opens new healthcare challenges. A more accurate diagnosis is needed along with real-time treatments by processing as much as possible from the available information. The purpose of this paper is to present a deeper vision for the future of Artificial Intelligence in Precise medicine. In fact, actual Machine Learning algorithms use standard mathematical knowledge, mostly Euclidian metrics and standard computation rules. The loss of information arising from the classical methods prevents obtaining 100% evidence on the diagnosis process. To overcome these problems, we introduce MEDICOMPILLS, a new architectural concept tool of information processing in Precise medicine that delivers diagnosis and therapy advice. This tool processes poly-field digital resources: global knowledge related to biomedicine in a direct or indirect manner but also technical databases, Natural Language Processing algorithms, and strong class optimization functions. As the name suggests, the heart of this tool is a compiler. The approach is completely new, tailored for omics and clinical data. Firstly, the intrinsic biological intuition is different from the well-known “a needle in a haystack” approach usually used when Machine Learning algorithms have to process differential genomic or molecular data to find biomarkers. Also, even if the input is seized from various types of data, the working engine inside the MEDICOMPILLS does not search for patterns as an integrative tool. This approach deciphers the biological meaning of input data up to the metabolic and physiologic mechanisms, based on a compiler with grammars issued from bio-algebra-inspired mathematics. It translates input data into bio-semantic units with the help of contextual information iteratively until Bio-Logical operations can be performed on the base of the “common denominator “rule. The rigorousness of MEDICOMPILLS comes from the structure of the contextual information on functions, built to be analogous to mathematical “proofs”. The major impact of this architecture is expressed by the high accuracy of the diagnosis. Detected as a multiple conditions diagnostic, constituted by some main diseases along with unhealthy biological states, this format is highly suitable for therapy proposal and disease prevention. The use of MEDICOMPILLS architecture is highly beneficial for the healthcare industry. The expectation is to generate a strategic trend in Precise medicine, making medicine more like an exact science and reducing the considerable risk of errors in diagnostics and therapies. The tool can be used by pharmaceutical laboratories for the discovery of new cures. It will also contribute to better design of clinical trials and speed them up.

Keywords: bio-semantic units, multiple conditions diagnosis, NLP, omics

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1 A Regional Comparison of Hunter and Harvest Trends of Sika Deer (Cervus n. nippon) and Wild Boar (Sus s. leucomystax) in Japan from 1990 to 2013

Authors: Arthur Müller

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The study treats human dimensions of hunting by conducting statistical data analysis and providing decision-making support by examples of good prefectural governance and successful wildlife management, crucial to reduce pest species and sustain a stable hunter population in the future. Therefore it analyzes recent revision of wildlife legislation, reveals differences in administrative management structures, as well as socio-demographic characteristics of hunters in correlation with harvest trends of sika deer and wild boar in 47 prefectures in Japan between 1990 and 2013. In a wider context, Japan’s decentralized license hunting system might take the potential future role of a regional pioneer in East Asia. Consequently, the study contributes to similar issues in premature hunting systems of South Korea and Taiwan. Firstly, a quantitative comparison of seven mainland regions was conducted in Hokkaido, Tohoku, Kanto, Chubu, Kinki, Chugoku, and Kyushu. Example prefectures were chosen by a cluster analysis. Shifts, differences, mean values and exponential growth rates between trap and gun hunters, age classes and common occupation types of hunters were statistically exterminated. While western Japan is characterized by high numbers of aged trap-hunters, occupied in agricultural- and forestry, the north-eastern prefectures show higher relative numbers of younger gun-hunters occupied in the field of production and process workers. With the exception of Okinawa island, most hunters in all prefectures are 60 years and older. Hence, unemployed and retired hunters are the fastest growing occupation group. Despite to drastic decrease in hunter population in absolute numbers, Hunting Recruitment Index indicated that all age classes tend to continue their hunting activity over a longer period, above ten years from 2004 to 2013 than during the former decade. Associated with a rapid population increase and distribution of sika deer and wild boar since 1978, a number of harvest from hunting and culling also have been rapidly increasing. Both wild boar hunting and culling is particularly high in western Japan, while sika hunting and culling proofs most successful in Hokkaido, central and western Japan. Since the Wildlife Protection and Proper Hunting Act in 1999 distinct prefectural hunting management authorities with different power, sets apply management approaches under the principles of subsidiarity and guidelines of the Ministry of Environment. Additionally, the Act on Special Measures for Prevention of Damage Related to Agriculture, Forestry, and Fisheries Caused by Wildlife from 2008 supports local hunters in damage prevention measures through subsidies by the Ministry of Agriculture and Forestry, which caused a rise of trap hunting, especially in western Japan. Secondly, prefectural staff in charge of wildlife management in seven regions was contacted. In summary, Hokkaido serves as a role model for dynamic, integrative, adaptive “feedback” management of Ezo sika deer, as well as a diverse network between management organizations, while Hyogo takes active measures to trap-hunt wild boars effectively. Both prefectures take the leadership in institutional performance and capacity. Northern prefectures in Tohoku, Chubu and Kanto region, firstly confronted with the emergence of wild boars and rising sika deer numbers, demand new institution and capacity building, as well as organizational learning.

Keywords: hunting and culling harvest trends, hunter socio-demographics, regional comparison, wildlife management approach

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