Search results
Results from the WOW.Com Content Network
This is an example of an equation that holds off shell, since it is true for any fields configuration regardless of whether it respects the equations of motion (in this case, the Euler–Lagrange equation given above). However, we can derive an on shell equation by simply substituting the Euler–Lagrange equation:
For translational invariant functions : it is () = (+).The Lebesgue measure is an example for such a function.. In physics and mathematics, continuous translational symmetry is the invariance of a system of equations under any translation (without rotation).
The solitary wave (water waves) or wave of translation, as observed by John Scott Russell in 1834, the prototype for a soliton. A soliton, a generalization of the wave of translation to general systems of partial differential equations
For example, if the xy-system is translated a distance h to the right and a distance k upward, then P will appear to have been translated a distance h to the left and a distance k downward in the x'y'-system . A translation of axes in more than two dimensions is defined similarly. [3] A translation of axes is a rigid transformation, but not a ...
A mathematical symbol is a figure or a combination of figures that is used to represent a mathematical object, an action on mathematical objects, a relation between mathematical objects, or for structuring the other symbols that occur in a formula.
Time-translation symmetry is a rigorous way to formulate the idea that the laws of physics are the same throughout history. Time-translation symmetry is closely connected, via Noether's theorem, to conservation of energy. [1] In mathematics, the set of all time translations on a given system form a Lie group.
The original work on statistical machine translation at IBM proposed five models, and a model 6 was proposed later. The sequence of the six models can be summarized as: Model 1: lexical translation; Model 2: additional absolute alignment model; Model 3: extra fertility model; Model 4: added relative alignment model; Model 5: fixed deficiency ...
Further, the Hamiltonian operator also commutes with the infinitesimal translation operator [^, ^] = [^, ^] = ^ = [^, ^] = In summary, whenever the Hamiltonian for a system remains invariant under continuous translation, then the system has conservation of momentum, meaning that the expectation value of the momentum operator remains constant.