Although it would make the maths more difficult, you could solve
the equations of motion for the positions of our star, the planets and the elements of the Centauri system.
Global models of the tide height and depth - averaged tidal currents are based on the well - understood physics of gravitational forcing by the Moon and the Sun, and
the equations of motion for the ocean.
The software solves
equations of motion for every frame of an effect, as it understands the physics of how things are supposed to move and behave.
A classical computer would have to run for thousands of years to compute the quantum
equations of motion for just 100 atoms.
He sat in his office and scrutinized 30 published attempts at writing
the equations of motion for a bicycle.
Not exact matches
«When the physical model
of wave -
motion in a material medium had to be abandoned in physics», writes Mary Hesse, «it left its traces in the kind
of mathematics which was used,
for this was still a mathematical language derived from the wave
equations of fluid
motion, and so,
for the mathematician, it carried some
of the imaginative associations
of the original physical picture.»
He was interested primarily in simplicity and coherence — in particular, the symmetry
of the forms
of the
equations for electrical and magnetic fields in
motion.38 The variability
of individual weighting among various criteria, which Kuhn describes, is also most noticeable in the early stages
of a new theory.
Of course the Newtonian equations for the motion of an object can all be obtained from Einstein's equations as limiting cases for velocities which are small compared to the velocity of ligh
Of course the Newtonian
equations for the
motion of an object can all be obtained from Einstein's equations as limiting cases for velocities which are small compared to the velocity of ligh
of an object can all be obtained from Einstein's
equations as limiting cases
for velocities which are small compared to the velocity
of ligh
of light.
The orbit
of an electron around a nucleus conceived as a route
of occasions would not significantly differ from that orbit conceived as the route
of the continuous
motion of the electron.2 Hence, Whitehead gave up his work on reformulating the
equations of relativity theory, as well as any quest
for ways in which his initial work would yield some confirmably different prediction from those
of the
equations of orthodox relativity theory.
Newton explained many things and allowed us to calculate the orbits
of planets with his laws
of motion, yet his idea
of a static universe was wrong - like wise Einstein with his energy
equation for many years thought / claimed the universe was static rather than dynamic.
In this regard, they develop
equations for describing the particles»
motion; the solutions to these
equations describe the trajectories
of these colloidal particles.
What he was looking
for was an
equation describing the
motion of the pendulums.
The discrepancy has consequences
for equations such as those that describe the
motion of particles or the propagation
of waves.
It also uses random number generator
equations for timing signals, trigonometric
equations to compute location, and special and general relativity
for precise tracking
of the satellites»
motion under the Earth's gravity.
While many basic aspects
of physics can be included (conservation
of mass, energy etc.), many need to be approximated
for reasons
of efficiency or resolutions (i.e. the
equations of motion need estimates
of sub-gridscale turbulent effects, radiative transfer codes approximate the line - by - line calculations using band averaging), and still others are only known empirically (the formula
for how fast clouds turn to rain
for instance).
The problem here is that the «forcings» are in fact some other inherent variables
of the very same climate - bearing system, but there is no clear separation
of time scales that allow
for any sort
of coherent theories like «averaging
of fast
motion» that results in Landau - Ginzburg - type
equations for «slow envelopes».
The hydrostatic
equation is the vertical component
of the momentum
equation (Newton's
equation of motion)
for the fluid parcel when the forces are in perfect balance and the net acceleration = 0.»
Equations for shallow atmospheric
motions; thermal instability
of a fluid layer; atmospheric turbulence; flow stability; 1 - D mixed layer models
For example, there are two conflicting derivations
of the
equation of motion in the presence
of droplets, the one
of Bannon (2002)(sorry 2005 above was an error) and Ooyama (2001).
For the atmospheric
equations of motion that system is not the hydrostatic
equations of motion that all climate models are based on, e.g., vertical columnar heating does not lead to a solution that is smooth (large scale) in space.