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Specifying the Hamiltonian functionals generates the evolution equations for these state variables from the Poisson brackets.
In that case we say that generates the evolution family.
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The kinetic and potential energies are transformed into the Hamiltonian which acts upon the wave-function to generate the evolution of the wave-function in time and space.
The loss of photosynthesis has occurred often in eukaryotic evolution, even more than its acquisition, which occurred at least nine times independently and which generated the evolution of the supergroups Archaeplastida, Rhizaria, Chromalveolata and Excavata.
To the contrary, the standard description of a CA does not take the space-time evolution for granted: it takes the automaton's initial conditions as given, and generates the system evolution over time via the CA transition function.
A system which is apparently but not sensitively dependent on initial conditions will be unpredictable to us, but there will exist an algorithm that, given some finite specification of the initial conditions, generates the future evolution of the system perfectly.
The master equation is linear, and can be written in a Schrödinger-type form <img src="http://journals.plos.org/plosone/article/asset?id=info?doi/10.1371/journal.pone.0006855.e017.PNG" class= inline-graphic"/> The linear operator, H, which generates the time evolution is called the Hamiltonian.
The Hamiltonian operator, acting on quantum states, would then generate the dynamical evolution.
There is no tandem repeat of Vtg genes found in the genomes of genus Culex, Aedes or Ochlerotatus, suggesting that gene conversion rather than unequal crossover generated the concerted evolution of Vtg genes in these mosquito species.
It is the relentless shifting and mutating, the probing and testing of every possibility on the part of DNA, after all, that generates the raw material for evolution to act on and ensures the success of life on Earth (and perhaps beyond).
In order to understand the economics of cooperative conflict, we have to understand how evolution generates the tension between cooperation and conflict, both biological and economic.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com