L-Fuzzy Rough Approximation Operators Based on Co-Implication and Their (Single) Axiomatic Characterizations

For L a complete co-residuated lattice and R an L-fuzzy relation, an L-fuzzy upper approximation operator based on co-implication adjoint with L is constructed and discussed. It is proved that, when L is regular, the new approximation operator is the dual operator of the Qiao–Hu L-fuzzy lower approximation operator defined in 2018. Then, the new approximation operator is characterized by using an axiom set (in particular, by single axiom). Furthermore, the L-fuzzy upper approximation operators generated by serial, symmetric, reflexive, mediate, transitive, and Euclidean L-fuzzy relations and their compositions are characterize through axiom set (single axiom), respectively.

Application of cross vortices, according the new Axioms and Laws

This article reveals of an application of a theory of nonparametric and nonlinear processes. This theory is described by new axioms and laws which include 2 new axioms and 8 new laws. They were explained in previous reports by the same author. This new theory expands the Classic Field Theory which is about parametric and linear processes. The theory of new axiom and laws is a more general theory because it consists new philosophy as nonparametric decoding, new objects as an accelerating or a decelerating field and new forms of movement as transverse and longitudinal motion. In present report are used 2 axioms and 5 laws only. It is known that Maxwell’s laws (1864) are based on a single axiom [1]. It states that the movement in a closed loop leads to evenly movement (with constant speed) of a vector E: div rot E = 0. The author changes this classic axiom with a new Axiom 1. According to the new Axiom1 the movement in an open loop (div rot E ≠ 0) or vortex (div Vor E ≠ 0) leads to unevenly movement (with variable speed) of a vector E [2]. The subsequent results are: the evenly movement is replaced with unevenly movement which can be decelerating or accelerating. According to subsequent laws: the cross vortex in 2D is transformed to a longitudinal vortex in 3D (transformation Δ1) and inversely (transformation Δ2); decelerating vortex emits free cross vortices to the environment; accelerating vortex sucks the same ones and so on. The electron is a model that contains a decelerating cross vortex from outside to inside and emits free cross vortices into the environment. The proton is a model that is generated by an accelerating cross vortex from inside to outside and sucks these the same free cross vortices from the environment. According to the Axiom 2 the decelerating (electron) and accelerating (proton) vortices form a resonant circle. In this circle they exchange their energy (accelerating and decelerating) along the real connection and exchange the mass of free vortices (emitted and sucked) along feedback. These free cross vortices then self-organize into something like primary dipoles which resemble electrons but in very smaller scale. The passive primary dipoles resemble electrons from the inner orbits of the atom which are contracted balls with a minimal polarization. This is the reason that these primary dipoles do not react to the amplitude of an applied external Electromagnetic Field. But they react instantly at high acceleration of the EM field. The reason is that the high acceleration strongly polarizes the passive primary dipole (ball), turns it to an active dipole (toroid) and directs it to the active pole of the EM field. In this article is described Nikola Tesla's approach about using of free cross vortices called” free energy”.

New Axioms and Laws

This report contains 2 new axioms and 8 laws. It predicts to include except the Electromagnetic Field and other unknown and unexplored fields, for example the Gravity Field. As it is well known the Classic Field Theory is described mostly by Theory of Electromagnetic Field. The Electromagnetic Field is described by Maxwell’s laws (1864). The Maxwell’s laws are certified by a single axiom which claims that the movement of a vector E in a closed loop (div rot E = 0) is evenly. The author replaces this axiom with a new one, according to which the movement of a vector E in an open loop (div rot E ≠ 0) or an open vortex (div Vor E ≠ 0) is unevenly. If the vortex is in plane (2D), it is named a cross vortex. If the vortex is in volume (3D), it is named a longitudinal vortex. Something more- each vortex can be decelerating (div (VorE) <0) or accelerating (div(VorE)> 0). After the first axiom are obtained immediately 4 types of movements – cross vortex, which can be accelerating or decelerating and longitudinal vortex, which can also be accelerating or decelerating. The following results are obtained : evenly movement is replaced with unevenly movement (decelerating or accelerating); movement in a closed loop is replaced with movement in an open loop or vortex ; a cross vortex in 2D generates a longitudinal vortex in 3D through a special transformation and vice versa- the longitudinal vortex in 3D through another special transformation generates a cross vortex in 2D; the decelerating vortex emits primary vortices to environment, but the accelerating vortex sucks into the same primary vortices from environment; the accelerating longitudinal vortices are attracted to one another, as the faster vortex is inserted into the slower and thus form a funnel, which is the model of gravity funnel. It should be noted, in particular, the results of the second axiom. It claims that two complex (cross-longitudinal) vortex objects in 3D that work in one direction as one complementary pair, are existed simultaneously. This way they are obtained 2 pairs of complementary objects in both directions. As a final result are received many models with similar shapes and content. For example, the pair in one direction of complex complementary vortex objects is a model of the electron-proton chain, and in the opposite direction is an antiproton-positron chain model.

The Phenomena of Superconductivity, According to the New Axioms and Laws

The article describes the application of brand new field type through New Axioms and Laws. The present study uses Expanded Field Theory. It changes the Classic Field Theory to a much more general theory that consists of 2 new axioms and 8 laws. It was described from previous works of the same author .In this report is used only 2 axioms and 6 laws only. It is known that Maxwell’s laws (1864) are based on a single axiom [1]. It states that the movement in a closed loop leads to evenly movement (with constant speed) of a vector E: div rot E = 0. The author change this axiom with a new one, according which the movement in an open loop or vortex leads to unevenly movement (with variable speed) of a vector E: div rot E ≠ 0, div V or E ≠ 0 for vortex [2]. The subsequent results are: the evenly movement is replaced with unevenly movement which can be decelerating or accelerating; in 2D it exists a cross vortex and in 3D it exists a longitudinal vortex ;the cross vortex in 2D is transformed to a longitudinal vortex in 3D through a transformation Δ1; the longitudinal vortex in 3D is transformed to a cross vortex in 2D through special transformation Δ2; decelerating vortex emits free cross vortices to the environment that are called “free energy”; accelerating vortex sucks the same ones free cross vortices and so on. The vector E is not a simple .It turns to be a complex vector: E=A+iV, E=V+ iA or E=-A-iV, E= -V- iA. It can has or amplitude A in a real part, or velocity V as a real part. Cross vortices can form two kinds vortices: a vortex that is generated by amplitude A and the vortex that is generated by velocity V. Each of these may be accelerating or decelerating .Both of them are generators. They are prototypes of material particles. Due to the suction of cross vortices by the accelerating vortex the temperature decreases and due to the emitting of cross vortices by the decelerating field the temperature increases. Inside of the conductor the velocity of Electromagnetic field is constant. On the periphery it decelerates because of resistance to the wall of conductor. This report offers a specific application of the above theory. In order to understand the nature of superconductivity we have to t understand first the nature of conductivity by conductor. Then we can very easily model a superconductor by constructing it orthogonally on the conductor.

About the Phenomenon of Free Energy, Described by the New Axioms and Laws

I decided to follow the advice of the great Einstein and to try changing the way of thinking. The article describes brand new field type through new axioms and laws. The present study uses Expanded Field Theory. It changes the Classic Field Theory to a much more general theory that consists of two new axioms and eight laws. It was described from previous works of the same author. In this report is used only one (first) axiom and six laws. It is known that Maxwell’s laws (1864) are based on a single axiom [1]. It states that the movement in a closed loop leads to evenly movement (with constant speed) of a vector E: div rot E= 0. The author change this axiom with a new one, according which the movement in an open loop or vortex leads to unevenly movement (with variable speed) of a vector E: div rot E ≠ 0, div Vor E ≠ 0 for vortex [2]. The subsequent results are: the evenly movement is replaced with unevenly movement which can be decelerating or accelerating; in 2D there is a cross vortex and in 3D there is a longitudinal vortex; the cross vortex in 2D is transformed to a longitudinal vortex in 3D through a transformation Δ1; the longitudinal vortex in 3D is transformed to a cross vortex in 2D through another special transformation Δ2; decelerating vortex emits free cross vortices to the environment that are called “free energy”; accelerating vortex sucks the same ones free cross vortices and so on. Cross vortices are visible to an external observer because they reflect the sun’s rays but longitudinal vortices are invisible because they diffract (do not reflect) sun’s rays. The vector E is not a simple .It turns to be a complex vector: E= A+iV, E=V+ iA or E= -A-iV, E= -V- iA. It can has or amplitude A, or velocity V as a real part. Cross vortices can form two kinds’ vortices: a vortex that is generated by amplitude A and the vortex that is generated by velocity V. Each of these may be accelerating or decelerating and both of them are generators. They are prototypes of material particles. Due to the suction of cross vortices by the accelerating vortex the temperature decreases and due to the emitting of cross vortices by the decelerating field the temperature increases. Inside of the conductor the velocity of Electromagnetic field is constant (v max=c). On the periphery it decelerates because of resistance to the wall of conductor .So an increase in the size of voltage leads only to an increase in the size of current but not to an increase in the velocity. This report offers a new type of field - accelerating field .It suck in free cross vortices that are called “free energy” from environment. The mechanism of Positive Feedback turns acceleration process to a generation process.

Expanded Field Theory. New Axioms, Laws and Consequences

The present study attempts to expand the Classic Field Theory to a more general theory of the field. This more general field theory is named Expanded Field Theory. This new theory contains 2 new axioms and 8 laws. It predicts to include the gravitational field and other unknown and unexplored fields. As it is well known the Classic Field Theory is described mostly by Theory of Electromagnetic Field. The Electromagnetic Field is described by Maxwell’s laws (1864). The Maxwell’s laws are certified by a single axiom which claims that the movement of a vector E in a closed loop (div rot E = 0) is evenly. The author replaces this axiom with a new one, according to which the movement of a vector E in an open loop (div rot E ≠ 0) or an open vortex (div Vor E ≠ 0) is unevenly. If the vortex is in plane (2D), it is named a cross vortex. If the vortex is in volume (3D), it is named a longitudinal vortex. Something more- each vortex can be decelerating (div (VorE) <0) or accelerating (div (VorE)> 0). After the first axiom are obtained immediately 4 types of movements – cross vortex , which can be accelerating or decelerating and longitudinal vortex , which can also be accelerating or decelerating. The following results are obtained : evenly movement is replaced with unevenly movement (decelerating or accelerating); movement in a closed loop is replaced with movement in an open loop or vortex ; a cross vortex in 2D generates a longitudinal vortex in 3D through a special transformation and vice versa- the longitudinal vortex in 3D through another special transformation generates a cross vortex in 2D; the decelerating vortex emits primary vortices to environment, but the accelerating vortex sucks into the same primary vortices from environment ; the accelerating longitudinal vortices are attracted to one another, as the faster is inserted into the slower and thus form a funnel- this is the model of gravity funnel . It should be noted, in particular, the results of the second axiom. It claims that two complex (cross- longitudinal) vortex objects in 3D that work in one direction as one complementary pair, are existed simultaneously. This way they are obtained 2 pairs of complementary objects in both directions. As a final result are received many models with similar shapes and content. For example, the pair in one direction of complex complementary vortex objects is a model of the electron-proton chain, and in the opposite direction is an antiproton-positron chain model.

Generating Natural Language Descriptions from OWL Ontologies: the NaturalOWL System

We present NaturalOWL, a natural language generation system that produces texts describing individuals or classes of OWL ontologies. Unlike simpler OWL verbalizers, which typically express a single axiom at a time in controlled, often not entirely fluent natural language primarily for the benefit of domain experts, we aim to generate fluent and coherent multi-sentence texts for end-users. With a system like NaturalOWL, one can publish information in OWL on the Web, along with automatically produced corresponding texts in multiple languages, making the information accessible not only to computer programs and domain experts, but also end-users. We discuss the processing stages of NaturalOWL, the optional domain-dependent linguistic resources that the system can use at each stage, and why they are useful. We also present trials showing that when the domain-dependent llinguistic resources are available, NaturalOWL produces significantly better texts compared to a simpler verbalizer, and that the resources can be created with relatively light effort.

F. NIETZSCHE IR G. DELEUZE: SĖSLUMO SIMPTOMATIKA IR NOMADIŠKO MĄSTYMO AKISTATOS

Remiantis F. Nietzsche’s ir G. Deleuze’o tekstų analize, siekiama parodyti, kad pagal klasikinio mąstymo kanonus ypač problemišku dalyku tampa naujos minties pasirodymo galimybė. Klasikinis mąstymas traktuojamas kaip sėslios egzistencijos tipas ir jam priešinamas klajokliškas, nomadiškas mąstymas. Pasitelkiant Deleuze’s išskirtus atpažinimo ir susitikimo modelius, pirma, siekiama pagrįsti požiūrį, kad ir Nietzsche’s filosofiją galime vadinti nomadišku mąstymu ir atitinkančią susitikimo modelį ir antra, siekiama išryškinti naujybės specifiką ir jos steigties transcendentalines sąlygas.Reikšminiai žodžiai: valia siekti galios, interpretacija, simptomatika, sėslusis mąstymas, nomadizmas, atpažinimo modelis, susitikimo modelis. F. NIETZSCHE AND G. DELEUZE: THE SEDENTARY LIFE SYMPTOMATICS AND NOMADIC THINKING CONFRONTATIONSArūnas Mickevičius SummaryThe article deals with F. Nietzsche’s and G. Deleuze’s attitude to classical thought. Nietzsche’s theoretical constructs are based on the principle Wille zur Macht, where he emphatically praised active forces and accused all classical thinking of turning away from life and associating it with reactive, negative forces. Nietzsche’s philosophy denies the exceptionally unique true opinion of the world and offers, instead, a variety of interpretations, i. e. a perspectivist approach to the world. In describing architectural metaphors of classical thinking he shows that it is reactive, life-denying, that its assumed grandeur in fact hides the poverty of life. On the other hand, Nietzsche attempts to release the metaphoric power from the single axiom of Truth, to release creativity, to legitimize a perspective, interpretative view of the world, based on the mentioned “will-to-power” principle and related to assertive powers of active life. Also, there are analyzed two models of knowledge, recognition and encounter, proposed by G. Deleuze. The main aims of the article is to demonstrate first, that Nietzsche’s philosophy can be named as nomadic thinking which corresponds to the model of encounter and, second, reveal the transcendental conditions of innovation. Keywords: will to power, interpretation, symptomatics, sedentary life, nomadism, encounter model, recognition model.