1. With Anharmonic perturbation ( )

2. Asymptotic Perturbation Theory. Higher - Order Effects.

3. Because of the perturbation, Mars experiences some torque.

4. An improved algorithm for zeroth order perturbation solution is presented.

5. This message caused perturbation in the Middle East Headquarters.

6. We add an Anharmonic perturbation to the Harmonic Oscillator problem

7. Convergence rate of moments for stochastic perturbation gradient approximation.

8. Inserting yields algebraic equations arranged in the order of perturbation.

9. Thus, the radius of convergence of the perturbation series is increased.

10. The equations defining the zero - order perturbation simply govern the static solution.

11. Antonyms for Collectedness include agitation, discomposure, perturbation, anxiety, worry, disquiet, unease, uneasiness, fear and apprehension

12. Other systems study the influence of perturbation frequency and motion amplitude on postural coordination practices.

13. Special attention is given to the problem of convergency of the perturbation series.

14. The method is quite general and can be applied to other singular perturbation problems.

15. The Boundary conditions given in a linear perturbation step will not affect subsequent steps.

16. In the strong field case the inter-electronic effects are treated as a perturbation.

17. But Atkins's introduction and chapters on operators, perturbation theory and group theory are enjoyable.

18. I am also happy to say that the perturbation maneuver has been successfully completed.

19. Antonyms for Coolheadedness include agitation, discomposure, nervousness, perturbation, impatience, arousal, disagreement, disproportion, disturbance and excitability

20. Antonyms for Countenance include agitation, discomposure, perturbation, anxiety, worry, disquiet, unease, uneasiness, fear and apprehension

21. The first order convergence uniform in the perturbation parameter is proved in the discreteL1-norm.

22. Even a small non-self-adjoint perturbation could produce a point spectrum with extremely rich structure.

23. Perturbation theory allows a simple account for electronic correlation, when a universal function of interelectronic distance is introduced.

24. The perturbation expansion is carried out in terms of dimensionless amplitude ɛ of the base temperature oscillation.

25. Action-angle coordinates are also useful in perturbation theory of Hamiltonian mechanics, especially in determining adiabatic invariants.

26. Thirdly, a dual-mode dual-band bandpass filter with rectangular-loop perturbation and stacked structure is presented.

27. An argument by Freeman Dyson shows that the radius of convergence of the perturbation series in QED is zero.

28. This nonlinear partial differential equation is resolved by perturbation theory for the particular case of a homogeneous system.

29. With many-body perturbation theory, 1D–3D term intervals of helium 1snd (n = 12 ∼ 20) configurations are calculated.

30. The orbit variation in one day under the nonspherical perturbation is shown and the motion of the orbit...

31. The degeneracy in a quantum mechanical system may be removed if the underlying symmetry is broken by an external perturbation.

32. The frequency stability, amplitude stability and harmonic content can be deduced from the second order perturbation solution of that equation.

33. Based on no-preemptive priority queuing network model and infinitesimal perturbation analysis schemes, new dynamic scheduling algorithm is presented.

34. By using the nonlinear programming theory, a optimal impulse satellite evasive trajectory planning model considering earth oblateness perturbation had been established.

35. The amplitude and phase fluctuations on the waves due to the inhomogeneity of the magnetic field are obtained using a perturbation method.

36. For a class of two-grid method we prove uniform convergence for allh (mesh size parameter) and ε (perturbation parameter).

37. Numerical results to three problems with known perturbation solutions are given and demonstrate the accuracy and stability of the method.

38. With an appropriate choice of perturbation (i.e. an oscillating electric potential), this allows one to calculate the AC permittivity of the gas.

39. The non self-adjoint differential equation and boundary conditions are considered to have random field coefficients. The standard perturbation method is employed.

40. A class of nonlinear singularly perturbed elliptical problems with boundary perturbation are considered. The uniform valid of the constructed asymptotic expansion is proved.

41. Lyapunov function Perturbation theory LaSalle's invariance principle Lyapunov, A. M. The General Problem of the Stability of Motion (In Russian), Doctoral dissertation, Univ.

42. The asymptotic stability of the rarefaction wave has been established for the impermeable wall problem under small perturbation conditions and non-isothermal conditions.

43. In astronomy he undertook measurements of variable stars , using photography. He also worked on improving optical systems, devising a perturbation equation to investigate geometrical aberrations.

44. Chalkboard perturbation experiments graphically display the consequences of molecular activities and pathway links as a tool to identify downstream effects and inconsistencies with current knowledge

45. The effect of a strong perturbation, recorded by the terrestrial magnetic observatories on March 15, 1948, on the F2-layer of the ionosphere is investigated.

46. To solve this problem, a new algorithm namely many-to-one matching decision algorithm based on correction of perturbation for matching measure matrix is proposed.

47. The signal processor eliminates at least one term which includes a perturbation function based, at least in part, upon the signal propagation properties of the abnormality.

48. Boundary conditions given within the model definition are always regarded as part of the base state, even if the first analysis step is a linear perturbation step

49. The TIDALSENSE LRU sensor array excites and detects LRU signals along with propagating acoustic elastic waves from external perturbation, making it particularly flexible in terms of potential applications.

50. He also gave essential contributions to the development of areas such as p-adic functional and stochastic analysis as well as to the singular perturbation theory for differential operators.

51. The stability of a kind of missile guidance system is analyzed,(sentence dictionary) and the effect of perturbation of radome boresight error slope A on the stability is investigated.

52. In this paper, problems of bending of thin plates under the combined action of lateral loading and in-plane forces are studied by means of perturbation method.

53. 2OverviewofD-Branes 2.1 Properties of D-Branes The study of string theory beyond perturbation theory has led to the introduction of new objects in string theory, D-Branes

54. The simulation results show that the simple and direct control can also reach rapid settling time without overshoot and steady-state error,[Sentencedict.com ] and has satisfactory robust stability to model perturbation.

55. Englert & Brout (1964), whose paper was the first to be published, based their argument on a calculation of the vacuum polarization in lowest-order perturbation theory about the assumed symmetry-breaking vacuum state

56. When we put a jet pack on them, or give them a perturbation like an earthquake, we discovered that their wonderfully tuned legs allow them to self-stabilize without using any of their brainpower.

57. A perturbation solution is given for the special case of aNewtonian liquid with pressure and temperature dependent viscosity and expressions for the velocity components, pressure distribution and flow rate are obtained for both isothermal and adiabatic wall conditions.

58. Optical perturbation of Archt-expressing neurons in the brain of an awake rhesus macaque resulted in a rapid and complete (∼100%) silencing of most recorded cells, with suppressed cells achieving a median firing rate of 0 spikes/s upon illumination.

59. A series of size‐consistent Approximations to the equation‐of‐motion coupled cluster method in the singles and doubles approximation (EOM‐CCSD) are developed by subjecting the similarity transformed Hamiltonian H ̄=exp (− T) H exp (T) to a perturbation expansion.

60. The Bartel lab uses genetic, genomic, cell biological, and biochemical approaches to decipher peroxisome biology in the reference plant Arabidopsis thaliana; the novel peroxisomal functions and facile genetics of this organism allow straightforward perturbation and enhancement of peroxisomal processes in an intact multicellular organism.

61. The fluidizing perturbation is generated by the emission of electromagnetic waves by means of a pair of electrodes, at least one of which is directly associated to a tubular perforator (9, 10) through which the diluent solution is infiltrated and/or the fluidized adipose tissue is extracted.

62. Method and apparatus for the cosmetical treatment of the human body through removal of the adipose tissue masses by means of the combined effect of the infiltration of a diluent solution and the application of a fluidizing perturbation within the adipose tissue (A), so as to enable the subsequent extraction thereof.

63. An adder (42) adds a rectangular wave voltage outputted from an oscillator (32) to a center value outputted from a center value setter (40) and feeds the sum to a variable dispersion compensator (16) as a control voltage so as to impart perturbation to the wavelength dispersion of the transmission line.