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Simplified intrinsic equations for arbitrary elastic shells

International Journal of Engineering Science, 1970
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Intrinsically Executable Informational Field Equations

This document presents the Intrinsically Executable Informational Field Equations (IEIFE)—the core of the Intrinsic Field Theory (IFT)—as the first and only deductively proven structure of physical reality. IFT begins not with assumed axioms, but with a single pre-axiomatic truth: that existence requires discernibility.From this foundational principle,
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On The intrinsic equation behind the Delaunay surfaces

AIP Conference Proceedings, 2008
By balancing the internal and external forces acting on axially symmetric membranes one arrives at a system of two equations describing the equilibrium states. This system allows at least two sets of analytical solutions. One of them presents the Euler’s elasticas and the other one can be recognized as the class of Delaunay surfaces.
Ivaïlo M. Mladenov   +7 more
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Intrinsic equations of motion in dynamical meteorology

Geofisica pura e applicata, 1951
Tangential and normal equations of horizontal motion along and normal to the characteristic lines (for example: stream lines, isobars, isotherms, etc.) are derived in general form. Then the later section of this paper is devoted to applications to natural coordinates and the coordinates chosen to lie parallel and normal to the isobars.
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Intrinsic Non-Invariant Forms of Dirac Equation

1993
Several results that seem to arise quite naturally from Hestenes geometric formulation of Dirac’s equation, and that conflict with the standard view on the relativistic invariance of it, are openly discussed. The result is a better understanding of all quantum theory.
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Intrinsic equations of viscous incompressible steady flows

Applied Scientific Research, 1965
The basic equations governing steady incompressible viscous flow in the absence of extraneous forces are obtained in intrinsic form and the properties arrived at are: (i) geometric relations existing between curvature and torsions of the curves of congruences, formed by the streamlines, principal normals and binormals to them when the fluid is ...
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On the intrinsic geometry of certain nonlinear equations: The sine-Gordon equation

Journal of Mathematical Physics, 1980
The classical relation between two-dimensional spaces of constant curvature and certain nonlinear partial differential equations is formulated in group-theoretic terms by means of the underlying semisimple isometry group. Rather than working with the metric and curvature in the given constant curvature space, it is then possible to consider the ...
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Intrinsic Properties of Stochastic Maxwell Equations

2023
Chuchu Chen, Jialin Hong, Lihai Ji
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Intrinsic Invariance Groups, Mass Operators, and Linear Wave Equations

Physical Review, 1968
Relativity theory permits motions of a free-spinning particle in which the instantaneous velocity and linear momentum are not collinear. Therefore, it is necessary to specify two invariance groups in order to completely describe the space-time symmetry properties of a particle with intrinsic spin.
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Nonlinear wave equation with intrinsic wave particle dualism

Canadian Journal of Physics, 1976
A nonlinear wave equation[Formula: see text]derived from the sine–Gordon equation is shown to possess a variety of solutions, the most interesting of which is a solution that describes a wave packet travelling with velocity uc modulating a carrier wave travelling with velocity uc.
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