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The general relation gives the Newton series = () = (, +), [citation needed] where is the Hurwitz zeta function and () the Bernoulli polynomial. The series does not converge, the identity holds formally.
Classical mechanics is the branch of physics used to describe the motion of macroscopic objects. [1] It is the most familiar of the theories of physics. The concepts it covers, such as mass, acceleration, and force, are commonly used and known. [2]
There are two main descriptions of motion: dynamics and kinematics.Dynamics is general, since the momenta, forces and energy of the particles are taken into account. In this instance, sometimes the term dynamics refers to the differential equations that the system satisfies (e.g., Newton's second law or Euler–Lagrange equations), and sometimes to the solutions to those equations.
Newton's laws of motion; Newton's law of universal gravitation; Newton–Laplace equation; Newton's metal; Newton's minimal resistance problem; Newton's reflector, see also Newtonian telescope – a different design; Newton's reflecting quadrant; Newton number, another name for Power number; Newton's rings; Newton's rotating sphere argument ...
Domains of major fields of physics. Branches of physics include classical mechanics; thermodynamics and statistical mechanics; electromagnetism and photonics; relativity; quantum mechanics, atomic physics, and molecular physics; optics and acoustics; condensed matter physics; high-energy particle physics and nuclear physics; cosmology; and interdisciplinary fields.
The configuration space and the phase space of the dynamical system both are Euclidean spaces, i. e. they are equipped with a Euclidean structure.The Euclidean structure of them is defined so that the kinetic energy of the single multidimensional particle with the unit mass = is equal to the sum of kinetic energies of the three-dimensional particles with the masses , …,:
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The binomial series, first proved by Isaac Newton. Topics referred to by the same term This disambiguation page lists articles associated with the title Newton's series .