Sentences with phrase «equations of motion for»

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 lighOf 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 lighof an object can all be obtained from Einstein's equations as limiting cases for velocities which are small compared to the velocity of lighof 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.
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