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31. Nonlinear electric field transient finite element equation is performed based on the backward Euler method and the Variational principle.

32. Soon after, Leonhard Euler (1707–1783) published a partial differential equation for the vibrational modes in a stretched string.

33. This is a conflict between the gravity similarity law (Froude) and pressure similarity law (Euler) in a same simulation system, which is not fully caused by the effect of scale.

34. The complete Euler equation set is obtained through the introduction of the partial differential operator.

35. Based on Euler deconvolution, the position and depth of the source of gravity fields was estimated, the northern margin faults of continental slope and Dongsha faults was divided.

36. To propose an improved Euler integral approach and integral controlling algorithm, which obviously reduces accumulated error and provides more accurate data.

37. A gas flow model with laser plasma as heat source was developed based on axial symmetric Euler equations in the laser propulsion rocket engine absorption chamber.

38. Some interpolation on two dimensional Euler space of triangular domain is studied.

39. Introduce the principium and method of Euler angle algorithm, direction cosine algorithm, Quaternion algorithm, and Rotation Vector algorithm.

40. We shall deduce the result from a lemma about Euler trails in directed multigraphs.

41. But this concept did not come from Japan, it came from Latin square. Euler who is Helvetic mathematician in 18 AD invented it.

42. With the kinematic model of satellite's attitude applied, the estimate models of attitude determination based on Euler angle method are presented.

43. The numerical solution of Euler equations is provided as flow solver.

44. Algorithms searching for a directed Euler tour in a Eulerian digraph and the shortest Euler trial in a non-Eulerian digraph are also developed.

45. Firstly, based on the Euler beam theory and the modal superposition method, the vibration equations of the simple beam and continuous beam under the multiple moving forces are established.

46. Project Euler was started by Colin Hughes (a.k.a. euler) in October 2001 as a sub-section on mathschallenge.net.

47. In the stabilized turntable system, the mathematic model of the three-axis turntable is studied through the angular position description with the Euler angle.

48. Using improved euler method to solve the grey system model was simple and rapid. The predicted value accorded basically with the surveying value.

49. The acquired 3 D object satisfied the restrictive conditions of Euler formula.

50. Euclid, Euler and all the others discovered and put into words things that were already there.

50. Wish you can benefit from our online sentence dictionary and make progress day by day!

51. In this dissertation, we present an expanded Euler Path method, which extend the origin Euler Path method to the floor plan of all kind of CMOS circuit as well as the dynamic circuit.

52. In this paper the existence of solution of Cauchy problem for Euler equation is discussed.

53. Thetheory includes Euler angular algorithm, direction cosine algorithm, quaternion algorithm and rotation vector algorithm.