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Experimental conditions of bubble Reynolds number and bubble distance divided by bubble diameter were from 300 to 650 and from 6.5 to 300, respectively.
Moreover, the influence of several parameters (e.g., the pressure amplitude, the bubble distance and the phase difference between sound waves) on the secondary Bjerknes force is also investigated numerically.
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It's always lived in a bubble, distanced from the outside, but up to now there's always been a realistic influence on it.
The bubble-hole thickness is estimated in essence as the bubble-cap distance along the cap central axis in this limiting state.
The route to chaos is altered via antimonotinicity with increasing bubble-wall distance.
When the credit expansion reaches bubble proportions, the distance to the mean is longer and deeper.
With the proportion of simple ash particles generated by fragmentation of later-nucleated bubbles increasing with distance from the vent, the apparent fraction of smaller bubbles also increases with distance.
Then the other bubbles will be placed sequentially according to their importance (which means from the second largest bubble), and the distances among all the bubbles are calculated by the formula 2.
Moreover, the energy associated with the agitation of the bubbles reaches a maximum value when the distance between bubbles decreases.
For a range of the proximity parameter γ (the ratio of the distance the bubble is created from the boundary to the maximum bubble radius), we record the impulsive forces generated by the bubble collapse.
Relevance to the topics of the current learner (colors of bubbles), relevancy among topics in the community topic map (distance between bubbles), and the number of learning resources under one topic (size of each bubble) give the learners hints for choosing learning resources of interest.
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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