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.

Journal of Advances in Mathematics and Computer Science

In this paper, exact determinants and inverses of skew symmetric generalized Loeplitz matricesare given by constructing the special transformation matrices. And an example is provided to verify the feasibility of the formulas.

Determinants and Inverses of Skew Symmetric Generalized Foeplitz Matrices

In this paper, explicit determinants and inverses of skew symmetric generalized Foeplitz matrices are given by constructing the special transformation matrices.

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.

Efekti mentalnog opterećenja i nametnutog ritma na parametre nekih psihofizioloških varijabli

Twelve trained subjects took part in an investigation on the effects of mental load and paced work on parameters of sinus arrhytmia, lapping task and the task diffieualty estimation by the use of a 21 point scale and cross-modal comparison on a hand dynamometer.The tasks consisted of numerical, perceptual, maze learning and immediate memoy tasks. They were computer generated and presented ona a VDU. Numerical and perceptual tasks were dealt with in unpaced and paced working conditions, while ihe rest of them in unpaced conditions only.By the use of a special transformation model, the task difficulties were expressed in bits for an easier comparison of the effects on sinus arrhythmia and tapping parameters.While lapping parameters did not show any interprclable change as the task difficulty changed, the sd index of sinus arrhythmia showed a good relationship with the task difficulty. A comparison of the sd index during paced and unpaced performance indicated that paced performance was easier for the subjects. The task difficulty assessment, however, showed Ihe opposite. The authors tried to explain this on the basis of entrainment of imposed work rhythm with the biological rhythm, which, subjectively, acled as an additional stressor, but it did not affect the sinus arrhythmia parameter.

Implementation and Application of Involute Profile Track Processing in General CNC System

Numerical control milling machine with a special transformation can be achieved the involute path processing functions. By using Fan method to process a way to synthesize involute track requirements and involute contour processing. This method is particularly suitable for gear modulus m ≥ 12 ~ 40 of the big modulus gear machining, and omit the big modulus gear-specific complex tool manufacturing. Another advantage is that as the basic parameters of the coordinates programming trajectory calculation as a way to carry out involute trajectories run control, gears accuracy can be effective control and assurance. Furthermore, it can be revised and the edge of the involute tooth surface in the tangential connection.