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Once we have a prediction for how the beach ball universe looked, we can use the equations of physics to run the clock forward to the present day.
To express the magma ascent process, we use the equations of mass conservation, motion and state of gas and melt phases.
The basic idea of numerical weather prediction is to sample the state of the fluid at a given time and use the equations of fluid dynamics and thermodynamics to estimate the state of the fluid at some time in the future.
As such, the idea of numerical weather prediction is to sample the state of the fluid at a given time and use the equations of fluid dynamics and thermodynamics to estimate the state of the fluid at some time in the future.
For thick shapes, one can use the equations of filament dynamics in a general anisotropic medium derived in [ 28].
As an alternative to extrapolating from metabolic equations, a different approach seeks to use the equations of motion to understand metabolic energy expenditure.
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The ability to predict certain developments in the future using the equations of maths is something that not only mathematicians but also climate scientists, astronomers and economists would love to develop.
The method is implemented using the equations of gas dynamics.
This chapter describes the idea of an expanding universe, without using the equations of general relativity.
The production rates are calculated using the equations of motion, ablation, and energy.
The deflection of buckled panel is described using the equations of the engineering theory of orthotropic cylindrical shells.
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