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31. Let us restate the assertions above as a theorem.

32. Mean Value Theorem of small examples.

33. The second theorem disposes of the other two problems.

34. Existence theorem for optimal portfolio is provided.

35. Sometimes it's called the classical equipartition of energy theorem.

36. Theorem 2 The product of a bounded function and an infinitesimal is an infinitesimal.

37. In calculus, it has not been proved whether or not the equivalent substitution theorem can be applied to the limit calculation of power-exp ential factions.

38. Based on the continuity theorem of the air mass variation in the slide guide, dynamic motion equations of the multi-throttle air-lubricated hydrostatic slide guide are also built.

39. Using the new concept, It is clear to identify losses of different wheelings without any hypothesis, and these losses satisfy the superposition theorem.

40. The optimality conditions of saddle points, weakly duality theorem, strong duality theorem and converse duality theorem are obtained under convexity assumptions.

41. This paper will introduce the application of Weda's Theorem and Converse Theorem in analytic geometry.

42. Based on the rigid plastic assumption for soil materials, adopting lower bound theorem, the bearing capacity of rectangular surface footing was calculated.

43. In this thesis we offer detailed proof of main theorem on tori which take symmetric space as the main tool.

44. The existence of co-exist periodic solution is investigated by using the bifurcation theory, the implicit function theorem and the method of asymptotic expansion.

45. Firstly, based on the staged unstructured model of Nosiheptide fermentation process, secondary variables were selected according to the implicit function existence theorem.

46. Focused on the asymptotic behaviour of mediant for fourth order Lagrange's mean value theorem and obtained the main results as followed (The equation is abbreviated).

47. Many of these appear to be fairly uniform, so by the virial theorem the total kinetic energy should be half the total gravitational binding energy of the galaxies.

48. This paper describes two different formulae of the field correlation theorem for the calculation of the efficiency of reflector antennas.

49. This paper has firstly defined the factor struture M/P(M) of commutatiuely residual monoid M by its sub-monoid P(M), then we have studied its properties and given out some isomorphism theorem.

50. The expressions of external and internal coupling were derived from the reciprocity theorem by analysing slot voltage distribution in this paper, which invoked magnetic current to slots.

50. Wish you will love sentencedict.com and make progress everyday!

51. It discusses carefully the basic concepts and inference rule of the resolution principle. According to the discussion, resolution method is used to prove a mathematical theorem through a example.

52. Furthermore, an accurate calculation method for the multiplication of fuzzy numbers is derived, and the fuzzy cost importance of each risk is obtained according to the representation theorem.

53. Hence approximated sampling theorem in the wavelet packets space is obtained.

54. Based on the minimizing vector theorem of the fuzzy inner product space, the pseudo fuzzy orthogonal vector is defined and the projected theorem of the fuzzy inner product space is testified.

55. The Coding Theorem of Secret Sharing Communication System with Three Noise Channels.

56. The article discusses rank of a matrix by the solution theorem of system of homogeneous linear equations, and proves several famous inequalities and two propositions on rank of a matrix.

57. This paper introduces the concepts of product and product topology of completely distributive lattice and defines compact space and T_2 space. Their product theorem is proved.

58. The compact theorem is proved, which states that theory T has model if and only if any finite subset of T has model.

59. As corollaries, a limit theorem for the mth - order nonhomogeneous Markov chains is obtained.

60. We obtain the series solution of the potential of a uniformly charged disc and its equipotential surfaces using the superposition theorem.