A Group of Invariant Equations Alejandro A. Torassa Creative Commons Attribution 3.0 License (2014) Buenos Aires, Argentina [email protected]

Abstract In classical mechanics, this paper presents a group of equations, which are invariant under transformations between reference frames.

Group of Invariant Equations If we consider two particles A and B then the group of invariant equations is: (ra − rb ) · (ra − rb ) = invariant (ra − rb ) · (va − vb ) = invariant (va − vb ) · (va − vb ) + (ra − rb ) · (aa − ab ) = invariant where ra and rb are the positions of particles A and B, va and vb are the velocities of particles A and B, and aa and ab are the accelerations of particles A and B.

1

A Group of Invariant Equations - viXra

where ra and rb are the positions of particles A and B, va and vb are the velocities of particles A and B, and aa and ab are the accelerations of particles A and B.
Download PDF
9KB Sizes 1 Downloads 223 Views
Report

Recommend Documents

A Generalization of the Einstein-Maxwell Equations - viXra
Bi = εijkAk;j. (2.1a). Di = ϵijEj − γjiBj ... be the spatial part of Tµν , which is defined so that T4 ... We will define the force density and the power loss density. Fi = −T.
A Generalization of the Einstein-Maxwell Equations II - viXra
the gravitational side of the equations. These terms arise from the non-metric components of a general symmetric connection and are essential to all of the 4-dimensional solutions. We will begin by looking at Maxwell's equations in a 3-dimensional no
A Generalization of the Einstein-Maxwell Equations II - viXra
the gravitational side of the equations. These terms arise from the non-metric components of a general symmetric connection and are essential to all of the 4-dimensional solutions. We will begin by looking at Maxwell's equations in a 3-dimensional no
Investigating a Nonconservative Invariant of Motion in ...
Page 1. Page 2. Page 3. Page 4. Page 5. Page 6. Page 7. Page 8. Page 9. Page 10. Page 11. Page 12. Page 13. Page 14. Page 15. Page 16. Page 17. Page 18 ...
questions: group a group b problems: group a
measured by comparison with a physi· cal object? Why? 4. A box of crackers at the grocery store is labeled "1 pound (454 g)." What is wrong with this label?
Observation of time-invariant coherence in a room temperature ...
Oct 14, 2016 - placeable resource for quantum-enhanced technologies. However, decoherence effects .... theory [3, 26, 27, 37], the degree of quantum coherence in the state ρ of a quantum ..... and E. R. de Azevedo, NMR Quantum Information Processing
Observation of time-invariant coherence in a room temperature ...
Oct 14, 2016 - ena and thermodynamics) or by a task for which coherence is required ... ρ t free induction decay. 1. 2J. Cl. Cl. 13C. 1H. Cl. A t. B. C. E. F. = 0.
Approximation of the Invariant Probability Measure of ...
Sep 14, 2007 - Since Pg E 9+the last summand tends to zero as k*~. Therefore we ... which is not a consequence of (ii)' and lim sup,,, Pmgmd Pg. Of course.
Linearizing a set of regular differential equations.
−∇cos f), we can't solve this thing easily, but in some small-enough neighborhood of some point. (i.e. a point in phase space containing z) we can make a linear approximation. Suppose our initial phase space point is z0, and we wish to solve for
A statistical video content recognition method using invariant ... - Irisa
class detection in order to understand object behaviors. ... to the most relevant (nearest) class. ..... using Pv equal to 95% gave the best efficiency so that in ...... Activity representation and probabilistic recognition methods. Computer. Vision
Maxwell's Equations
Jan 9, 2017 - ϵr = 1.33, but at RF down to dc, it has n = 9. In Sec. 1.9, we discuss simple models of ..... The real and imaginary parts of ϵ(ω) characterize the refractive and absorptive properties of the material. ... exhibits strong absorption.
Maxwell's Equations
Jan 9, 2017 - The quantities ρ and J are the volume charge density and electric current density. (charge flux) of any ... The electric and magnetic flux densities D, B are related to the field intensities E, H via the so-called .... nonlinear effect
dimensionality of invariant sets for nonautonomous ...
that W.(t,s)qb -n-,/ V(t, s)dp for each t/ and each bK uniformly in sR. ...... v a+ eu. We will prove that the system (4.13), (4.14) satisfies the asymptotic compactness.
Invariant random subgroups of locally finite groups
Observation. Suppose that G r (Z,µ) is a measure-preserving action on a probability space. Let f : Z → SubG be the G-equivariant map defined by z ↦→ Gz = {g ...
The existence of quasi-invariant measures of a given cocycle, I
Given a Polish space X, a countable Borel equivalence relation E on X, and a ... equivalence classes are finite, and countable if all of its equivalence classes are ...
Determinants of Paternity Success in a Group of ...
Dec 18, 2010 - Paternity analysis . Vervets ... the species' degree of reproductive seasonality. ... For this, we present genetic data from wild-caught vervets.
Determinants of Paternity Success in a Group of ...
Dec 18, 2010 - M. Krützen. Anthropological Institute and Museum, University of Zurich, 8057 Zurich, Switzerland e-mail: .... different location than the females on St. Kitts and Nevis. Post hoc genetic ..... Princeton: Princeton. University Press.
Dynamics of Differential Equations
26 Jul 2004 - the system x + f(x) ˙x + g(x)=0. We could write it as a system using y = ˙x, but it is more usual to introduce y = ˙x + F(x), where F(x) = ∫ x. 0 f(x)dx. Then. ˙x = y − F(x). ˙y = −g(x). This reflects the original motivation: