# Hamiltonian sentence example

hamiltonian

- Among his principal publications are An Examination of Ferrier's "Knowing and Being," and the Scottish Philosophy - (a work which gave him the reputation of being an independent Hamiltonian in philosophy); Memoir of John Brown, D.D.
- If the system is supposed to obey the conservation of energy and to move solely under its own internal forces, the changes in the co-ordinates and momenta can be found from the Hamiltonian equations aE aE qr = 49 - 1 57., gr where q r denotes dg r ldt, &c., and E is the total energy expressed as a function of pi, qi,.
- To this reaction Hamilton explicitly appealed in the convention of 1787; and of this reaction various features of the constitution, and Hamiltonian federalism generally, were direct fruits.
- It is, however, unquestionably true, that as a startling protest against measures" to silence,"in Jefferson's words," by force and not by reason the complaints or criticisms, just or unjust, of our citizens against the conduct of our agents,"they served, in this respect, a useful purpose; and as a counterblast against Hamiltonian principles of centralization they were probably, at that moment, very salutary; while even as pieces of constitutional interpretation it is to be remembered that they did not contemplate nullification by any single state, and, moreover, are not to be judged by constitutional principles established later by courts and war.
- He summed up as follows the difference between himself and the Hamiltonian group: "One feared most the ignorance of the people; the other the selfishness of rulers independent of them."Advertisement
- In the development of the United States the influence of Hamiltonian nationalism and Jeffersonian democracy has been a reactive union; but changed conditions since Hamilton's time, and particularly since the Civil War, are likely to create misconceptions as to Hamilton's position in his own day.
- A special class of such systems are Hamiltonian flows and their discrete analog, symplectic maps.
- John has worked on a range of topics related to Hamiltonian mechanics and variational calculus, and in particular their application to water waves.
- Solution method: A molecular Hamiltonian describing carbon dioxide, which is a linear triatomic, is diagonalized.
- Hamiltonian matrix is then calculated using the discrete Fast Fourier Transform method to compute the kinetic energy part of the operator.Advertisement
- In this equation, H is the Hamiltonian operator associated with the classical Hamiltonian operator associated with the classical Hamiltonian function.
- Hamiltonian dynamics introduced, gently.
- Hamiltonian theory is an important element of integrable systems, whether discrete, ordinary differential or partial differential equations.
- The parameters of the rotor Hamiltonian are the three principal moments of inertia.
- The coefficients are obtained by solving the spin Hamiltonian.Advertisement
- For Hamiltonian systems, one can exactly preserve the symplectic structure of the system using numerical methods the have become known as symplectic integrators.
- We consider the phenomenon of forced symmetry breaking in a symmetric Hamiltonian system on a symplectic manifold.
- The research will focus on the analysis of infinite dimensional Hamiltonian systems in continuum mechanics.
- The scope of his researches was described by Arthur Cayley, his friend and fellow worker, in the following words: "They relate chiefly to finite analysis, and cover by their subjects a large part of it - algebra, determinants, elimination, the theory of equations, partitions, tactic, the theory of forms, matrices, reciprocants, the Hamiltonian numbers, &c.; analytical and pure geometry occupy a less prominent position; and mechanics, optics and astronomy are not absent."
- Hamiltonian Theory An important idea introduced within soliton theory was that of a bi-Hamiltonian system.Advertisement
- Optimal solutions lie on the two-dimensional stable manifold of the corresponding Hamiltonian system.