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Paraconsistent Differential Calculus(Part II):Second-Order Paraconsistent Derivative

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Applied Mathematics 2014年第8期5卷 1142-1151页

作者： Joao Inácio Da Silva filho Group of Applied Paraconsistent Logic Santa Cecília University-UNISANTASantosBrazil Institute for Advanced Studies of the University of Sao paulo-IEAUSP Sao PauloBrazil

The Paraconsistent Logic (PL) is a non-classical logic and its main property is to present tolerance for contradiction in its fundamentals without the invalidation of the conclusions. In this paper, we use the PL in its annotated form, denominated Paraconsistent Annotated Logic with annotation of two values-PAL2v. This type of paraconsistent logic has an associated lattice that allows the development of a Paraconsistent Differential Calculus based on fundamentals and equations obtained by geometric interpretations. In this paper (Part II), it is presented a continuation of the first article (Part I) where the Paraconsistent Differential Calculus is given emphasis on the second-order Paraconsistent Derivative. We present some examples applying Paraconsistent Derivatives at functions of first and second-order with the concepts of Paraconsistent Mathematics.

关键词： Paraconsistent Logic Paraconsistent Annotated Logic Paraconsistent Mathematics Paraconsistent Differential Calculus

Paraconsistent Differential Calculus(Part I):First-Order Paraconsistent Derivative

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Applied Mathematics 2014年第6期5卷 904-916页

作者： Joao Inácio Da Silva filho Group of Applied Paraconsistent Logic Santa Cecília University-UNISANTASantosBrazil Institute for Advanced Studies University of Sao Paulo-IEAUSPSao PauloBrazil

A type of Inconsistent Mathematics structured on Paraconsistent Logic (PL) and that has, as the main purpose, the study of common mathematical objects such as sets, numbers and functions, where some contradictions are allowed, is called Paraconsistent Mathematics. The PL is a non-Classical logic and its main property is to present tolerance for contradiction in its fundamentals without the invalidation of the conclusions. In this paper (part 1), we use the PL in its annotated form, denominated Paraconsistent Annotated Logic with annotation of two values—PAL2v for present a first-order Paraconsistent Derivative. The PAL2v has, in its representation, an associated lattice FOUR based on Hasse Diagram. This PAL2v-Lattice allows development of a Para-consistent Differential Calculus based on fundamentals and equations obtained by geometric interpretations. In this first article it is presented some examples applying derivatives of first-order with the concepts of Paraconsistent Mathematics. In the second part of this work we will show the Paraconsistent Derivative of second-order with application examples.

关键词： Paraconsistent Logic Paraconsistent Annotated Logic Paraconsistent Mathematics Paraconsistent Differential Calculus

Pentalogy of Cantrell with Sternum Agenesis—A Case Report

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Open Journal of Thoracic Surgery 2020年第1期10卷 1-5页

作者： Elias Amorim Nilo Antunes Sousa filho Petrucio Abrantes Sarmento Joseval Silva Lacerda Wildel Campos Ferreira paulo Roberto Mocelin Antonio Vieira Dias filho Victor Hugo Dorigo Castilho Joel Fernando Sodré Bayma Silva Rejane Albuquerque Camila Raposo Marineia Vale Thoracic Surgery Service of the Teaching Hospital of the Federal University of Maranhão Maranhão Brazil Thoracic Surgery Service of the Teaching Hospital of the Federal University of Paraiba Paraiba Brazil Cardiac Surgery Service of the Teaching Hospital of the Federal University of Maranhão Maranhão Brazil Plastic Surgery Service of the Teaching Hospital of the Federal University of Maranhão Maranhão Brazil Anesthesiology Service of the Teaching Hospital of the Federal University of Maranhão Maranhão Brazil Medical Student-Researcher of the Teaching Hospital of the Federal University of Maranhão Maranhão Brazil Intensive Therapy Service of the Teaching Hospital of the Federal University of Maranhão Maranhão Brazil

Introduction: Pentalogy of Cantrell is a rare disorder described by Cantrell in 1958 and characterized by heart anomalies, involving defects of the diaphragm, abdominal wall, supraumbilical region and pericardium. Methods: We report a case of the disease that presented with agenesis of the sternum and partial absence of costal cartilage, treated by a multi-disciplinary team. Results: The patient underwent median sternotomy. An enlarged heart, compromising the pulmonary trunk and the right ventricle, and a left superior vena cava were identified. The right atrium was opened and an interventricular communication of around 10 mm in diameter was seen through the tricuspid valve. Following the repair of the heart defects, chondroplasty and placement of biological mesh (Bioway of Gore) were performed. Conclusion: A Successful surgical treatment for Cantrell Syndrome includes correction of the cardiac malformation, a good repair of thoracoabdominal wall.

关键词： Pentalogy of Cantrell Agenesis Diaphragm Pericardium

Study of the Interactions between Particles Based in Paraquantum Logic

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Journal of Modern Physics 2012年第5期3卷 362-376页

作者： Joao Inacio Da Silva filho Group of Applied Paraconsistent Logic Santa Cecilia UniversitySantosBrazil Institute for Advanced Studies University of Sao PauloSao PauloBrazil

Paraquantum Logic (P QL ) has its origins in the fundamental concepts of the Paraconsistent Annotated Logic (PAL) whose main feature is to be capable of treating contradictory information. In this work we presented a study of application of the P QL in resolution of phenomena of physical systems that involves the interactions between physical bodies or particles. Initially is considered that each particle or physical body that is in the physical world has a representative Lattice in the Paraquantum world. From this consideration is made a study of the phenomena of Paraquantum Entanglement modeling the interaction between particles based in fundamental concepts of the Paraquantum Logic. The mathematical relationships of representative Lattices of the Paraquantum Logic originate models with values that are identified with some physical constants. In this work these paraquantum values are identified with the Universal constant of Gravity, proposed by Newton, and the constant K, that relates the Interaction Force in charged particles in the Coulomb’s Law. The results showed that the Paraquantum Logical Model elaborated starting from the fundamental concepts of the Paraquantum Logic (P QL ) is adequate to support theories based in a Paraquantum Universe built by an infinite amount of Lattices and forming a Paraquantum net of infinite dimensions.

关键词： Paraconsistent Logic Paraquantum Logic Classical Physic Relativity Theory Quantum Mechanics

Unwrapping reworked crust at the Columbia supercontinent margin within central southern Amazon Craton using multi-source geophysics and geochronology data synergy

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Geoscience Frontiers 2022年第3期13卷 35-52页

作者： João G.Motta P.G.Betts V.T.Meira V.G.Trevisan C.R.de Souza filho Institute of Geosciences University of CampinasCampinasSão PauloBrazil Camborne School of Mines University of ExeterPenryn CampusPenrynCornwallUnited Kingdom School of Earth Atmosphere and EnvironmentMonash University(Clayton Campus)ClaytonVICAustralia Anglo American Níquel Brasil Ltda. Avenida Interlândia502 QD 87LST 68 e 10GoiâniaGoiásBrazil

The geometry and evolution of pre-existing basement in accretionary belts bordering supercontinents are often *** interpretation of long-wavelength potential field satellite data can image deep crust structure,improving our understanding of lithospheric processes that formed these margins ***,we present a multidisciplinary interpretation of the lithospheric architecture of the central southern Amazon Craton,a fragment of an accretionary belt at the southwestern Columbia supercontinent ***-borne gravity and magnetic data,airborne magnetic data,passive seismic(V_(p)/V_(s) ratio,crustal thickness)and seismic tomography data reveals that basement terranes from the interior of the craton extend into the accretionary margin of *** demonstrate a vertically heterogeneous structure with an underlying strongly reworked pre-Columbia tectonic wedge that sustained prolonged modification during the supercontinent assembly as corroborated by Nd isotope and geochronology *** isotope data suggest that the protracted orogenic wedge was influenced by subduction angle shifts over time,including addition of substantial juvenile material during slab retreat *** interplay promoted Craton growth at the supercontinent margin while keeping a subtle record of the pre-existing *** findings point to the possible misrepresentation of basement extension and geometry of supercontinent margins elsewhere.

关键词： Satellite gravity Satellite magnetics Columbia Accretionary belt Amazon Craton Geochronology

Introducing the Paraquantum Equations and Applications

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Journal of Modern Physics 2013年第6期4卷 712-733页

作者： Joao Inácio Da Silva filho Santa Cecília University Group of Applied Paraconsistent LogicSantos-SPBrazil Institute for Advanced Studies of the University of Sao paulo Sao Paulo-SPBrazil

In this paper, we present an equationing method based on non-classical logics applied to resolution of problems which involves phenomena of physical science. A non-classical logic denominated of the Paraquantum Logic (PQL), which is based on the fundamental concepts of the Paraconsistent Annotated logic with annotation of two values (PAL2v), is used. The formalizations of the PQL concepts, which are represented by a lattice with four vertices, lead us to consider Paraquantum logical states ψ which are propagated by means of variations of the evidence Degrees extracted from measurements performed on the Observable Variables of the physical world. The studies on the lattice of PQL give us equations that quantify values of physical largenesses from where we obtain the effects of the propagation of the Paraquantum logical states ψ. The PQL lattice with such features can be extensively studied and we obtain a Paraquantum Logical Model with the capacity of contraction or expansion which can represent any physical universe. In this paper the Paraquantum Logical Model is applied to the Newton Laws where we obtain equations and verify the action of an expansion factor the PQL lattice called Paraquantum Gamma Factor γPψ and its correlation with another important factor called Paraquantum Factor of quantization hψ. We present numerical examples applied to real physical systems through the equations which deal with paraquantum physical largenesses and how these values are transmitted to the physical world. With the results of these studies we can verify that the Paraquantum Logical Model has the property of interconnect several fields of the Physical Science.

关键词： Paraconsistent Logic Paraquantum Logic Classical Physic Relativity Theory Quantum Mechanics

Dark Energy Calculations Using the Paraquantum Gamma Factor(γ_(Pψ)) on the Relativistic Energy Equation

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Journal of Modern Physics 2014年第6期5卷 319-334页

A Paraconsistent Logic (PL) is a non-classical logic which revokes the principle of non-Contradiction and admits the treatment of contradictory information in its theoretical structure. Paraquantum Logic (PQL) is based on a type of PL denominated Paraconsistent Annotated Logic with annotation of two values (PAL2v). The PAL2v have a representative Lattice of four vertices (Lattice FOUR) where are made interpretations with construction of Paraquantum Logical Model and equations capable computation values extract of Observable Variable measurements. The studies of the PQL are based on propagation of Paraquantum logical states ψ in a Paraquantum Universe represented by PQL-Lattice of four vertices. These studies of PQL are based in two Paraquantum factors: the Paraquantum Gamma Factor (γPψ) that has his action in the measurements of Observable Variables in the Physical world and the Paraquantum Factor of quantization hψ, which has his action in the Paraquantum Universe. In this paper we analyze the application of Paraquantum Gamma Factor γPψ and its intrinsic characteristics that add important information into the equation of Einstein’s relativistic Energy (E = MC2). In this article were made several calculations to demonstrate the effects of applying the Paraquantum Gamma Factor (γPψ) in relativistic energy equation. It is found that the factors of using the Paraquantum Logical Model make an adjustment in the equation of Einstein’s relativistic Energy and identify related values with recent results found for the Dark Energy and dark matter. In the Paraquantum/Relativistic Energy equation the γPψ appears as an important factor of transition between the relativistic universe and the Newtonian Universe. The results suggest that its use would be very important in the interpretation of the behavior of other astronomical factors as the cosmological constant and gravitation.

关键词： Paraconsistent Logic Paraquantum Logic Dark Energy Dark Matter Relativity Theory

Relativity Theory and Paraquantum Logic—Part I:The Time and Space in the Paraquantum Logical Model

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Journal of Modern Physics 2012年第9期3卷 957-971页

作者： Joao Inacio Da Silva filho Group of Applied Paraconsistent Logic-Santa Cecilia University SantosBrazil Institute for Advanced Studies of the University of Sao paulo Cidade Universitaria Sao PauloBrazil

From fundamental concepts of the Paraconsistent Annotated Logic with annotation of two values (PAL2v), whose main feature is to be capable of treating contradictory information, was created the Paraquantum Logic (PQL). The studies of the PQL are based on propagation of Paraquantum logical states ψ in a representative Lattice of four vertices. Based in interpretations that consider resulting information of measurements in physical systems, are found two Paraquantum factors: the Paraquantum Gamma Factor γPΨ, that has his action in the measurements of Observable Variables in the Physical world and the Paraquantum Factor of quantization hΨ, which has his action in the Paraquantum World represented by the PQL Lattice. Correlation between γPΨ and hΨ produces paraquantum equations for computation of the physical quantities in real physical systems. In this work we present a study of application of the PQL in resolution of phenomena of physical systems that involve concepts of the Relativity Theory. Initially the time t is considered like an Observable Variable and the paraquantum analysis is done with the same conditions assumed in the relativity theory for the study of the time dilatation. After the time considerations, paraquantum equations are involved with the space-time and velocity creating conditions for a relativistic/paraquantum analysis. In the part II of this work a new approaches of the relativistic phenomena in the Paraquantum Logical Model will show the correlation of these effects with the Newtonian universe and with quantum mechanics.

关键词： Paraconsistent Logic Paraquantum Logic Classical Physic Relativity Theory Quantum Mechanics

An Introduction to Paraconsistent Integral Differential Calculus:With Application Examples

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Applied Mathematics 2014年第6期5卷 949-962页

作者： Joao Inácio Da Silva filho Group of Applied Paraconsistent Logic Santa Cecília UniversitySantosBrazil Institute for Advanced Studies University of Sao PauloSao PauloBrazil

In this paper we show that it is possible to integrate functions with concepts and fundamentals of Paraconsistent Logic (PL). The PL is a non-classical Logic that tolerates the contradiction without trivializing its results. In several works the PL in his annotated form, called Paraconsistent logic annotated with annotation of two values (PAL2v), has presented good results in analysis of information signals. Geometric interpretations based on PAL2v-Lattice associate were obtained forms of Differential Calculus to a Paraconsistent Derivative of first and second-order functions. Now, in this paper we extend the calculations for a form of Paraconsistent Integral Calculus that can be viewed through the analysis in the PAL2v-Lattice. Despite improvements that can develop calculations in complex functions, it is verified that the use of Paraconsistent Mathematics in differential and Integral Calculus opens a promising path in researches developed for solving linear and nonlinear systems. Therefore the Paraconsistent Integral Differential Calculus can be an important tool in systems by modeling and solving problems related to Physical Sciences.

关键词： Paraconsistent Logic Paraconsistent Annotated Logic Paraconsistent Mathematics Paraconsistent Integral Differential Calculus