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For a given set of parameters, butterfly attractors are emerged from the system.
The numerical integration of the conservation equations gives the flame propagation velocity for a given set of parameters.
Furthermore an analytical model is applied to calculate optimized wire bond shapes for a given set of parameters.
These process maps can be used to select system parameters or predict system response for a given set of parameters.
Another issue with conventional approach is the inconsistency in the volume of dispensed droplets for a given set of parameters.
We show that direct methods for periodic optimal control allow for quick and reliable computation of optimal cycle times for a given set of parameters.
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It is then a matter of multiplication to get the approximate running time for a given dataset and a given set of parameters.
Each point corresponds to a set of simulations preformed with a given set of parameters.
For a given set of parameter values, prediction variability comes from differences in estimated r values.
The output was the electron density for a given set of input parameters.
The equilibrium condition gives rise to a cubic equation whose solution gives the unique shape for a given set of design parameters.
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for a given set of coefficients
for a given set of terms
for a given set of variables
for a given settings of parameters
for a given set of LEDs
for a given range of parameters
for a given set of works
for a given set of materials
for a given set of sensors
for a given set of unknowns
for a given set of functions
for a given set of genomes
for a given combination of parameters
for a given set of inputs
for a given set of weights
for a given set of servers
for a given set of documents
for a given choice of parameters
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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