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Now consider a simple example for the transition rules.
Fig. 4 Example for the transition of a pulse from gas thrust to convective buoyancy: a 1.7 s after occurrence, the pulse enters the transitional stage and subsequently starts to show clear signs of radial expansion.
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This article is focusing on opportunities and constraints of bioenergy within the German electricity market, as an example for the energy transition in Europe.
Thinking about DNA, for instance, this works: For example, the transition from A to G can be reverted by another substitution of the same type, namely a transition from G to A. This symmetry condition is fulfilled by the Klein-Four-group, but not by the cyclic group on four states.
Analogous numbers were calculated for other divergences; for example, the transition rate constant within artiodactyls was estimated to be 3.0 × 10.-9 transitions/site/year (data not shown).
Based on this evidence, narrative explanations of unique historical phenomena such as major transitional events, for example, the transition from amphibians to land dwellers can be described.
For example, the transition rate matrix for network system (1) with r operation modes can be expressed as [ π 11 ? … ? π 21 ? … π 2 r ⋮ ⋮ ⋱ ⋮ ? π r 2 … π r r ], where '?' represents the unknown transition rate.
For example, the transition rate matrix Θ for system (1) with N operation modes may be described as Theta = begin{bmatrix} gamma_{11} & ?
For example, the transition from industrial to consumer capitalism, which he chronicled in America decades ago, is now happening in China and India.
For example, the transition from Emergency Operating Procedures to the Severe Accident Management Guidelines may be triggered by core exit temperatures exceeding set limits.
These revolutionary phases – for example the transition from Newtonian mechanics to quantum physics – correspond to great conceptual breakthroughs and lay the basis for a succeeding phase of business as usual.
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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