The concept of generalized(N)fuzzy integral is introduced, and the elementary properties of this type of integral are investigated. A necessary and sufficient condition that almost equal everywhere fuzzy measurable functions imply integral equal is given, and the absolute integrability of integral is discussed.

The concept of generalized(N)fuzzy integral is introduced,and the elementary properties of this type of integral are investigated. A necessary and sufficient condition that almost equal everywhere fuzzy meas- urable functions imply integral equal is given,and the absolute integrability of integral is discussed.

BPF-Automatic Press Filter is a new equipment for filtration of concentrate. The plate of press filter is designed for composition of filtrate plates and press plates, The plates are symmetrical and stress is equal everywhere.

But this is a sufficient condition to ensure that the continuous functions u and g are equal everywhere, as the following lemma proves.

When the neutron radioactive capture cross section and the. inelastic scattering cross section ((n,γ), (n,n') ) are measured, the neutron flux in the sample isn't equal everywhere due to neutron multiscattering and sel-fabsorption in the finite sample.In the early work, it's supposed that neutron f lux in the sample is equal everywhere in the data processing which brings some uncertainties to the experimental values of (n,γ) and (n,n') cross section.Although it has been tested and verified by experiments...

When the neutron radioactive capture cross section and the. inelastic scattering cross section ((n,γ), (n,n') ) are measured, the neutron flux in the sample isn't equal everywhere due to neutron multiscattering and sel-fabsorption in the finite sample.In the early work, it's supposed that neutron f lux in the sample is equal everywhere in the data processing which brings some uncertainties to the experimental values of (n,γ) and (n,n') cross section.Although it has been tested and verified by experiments that these two kind of effects can be roughly compensated each other in the special geometric sample,in order to get more accurate results, it is necessary to calculate these effects,Present work is to calculate the correction factor for the fast neutron multiscattering and self-absorption in the sample with Monte Carlo simulation method. In the real mathematical processing with Monte Carlo, because geometric size of the sample is more small in general, the forcecollision method is used in the transport procedure.To treat the collision procedure, the weighting process for scattering is adopted.Both expectation estimation method and path-length estimation method are used to record the flux distribution. We calculated the correction factor for 14 MeV neutron multiscattering and self-absorption by 56Fe.The results are in accord with experiment an-alyses.

Using the WKB solutions of incompressible Alfven waves, it is investigated that the propagation of Alfven waves in the background solar wind with a helmet-shaped current sheet obtained by a time-dependent, two dimensional MHD numerical simulation. The results show that: (1) With increasing heliospheric distance, the Alfvenic magnetic amplitude b will decay Tepidly. Near the heliospkeric sheet, the more slowly of the decay, so that the amplitude of b is almost equal everywhere at large distances. (2)...

Using the WKB solutions of incompressible Alfven waves, it is investigated that the propagation of Alfven waves in the background solar wind with a helmet-shaped current sheet obtained by a time-dependent, two dimensional MHD numerical simulation. The results show that: (1) With increasing heliospheric distance, the Alfvenic magnetic amplitude b will decay Tepidly. Near the heliospkeric sheet, the more slowly of the decay, so that the amplitude of b is almost equal everywhere at large distances. (2) Within several solar radii, the velocity fluctuations reach rapidly the maximum at all latitudes, and after that begin to decay gradualy with increasing distances. At large distances the amplitUde of u over solar polar is a little larger than near the current sheet. (3) With increasing heliospheric distance, the relative magnetic field b/B will rise. Over the solar polar the b/B will increase much more slowly than near the current sheet, but above several solar radii, the values of b/B at all latitudes will no longer increase obviously with increasing distance, that is to say, the evolution of the flutuations will reach the so called "saturations", this result may be an important support for Alfven wave acceleration of the solar wind. Another important result is that near the heliospheric current sheet, b/B De 1 so that Alfvenic fluctuations will be main maglletic field compositions at large distance regions. (4) Near the heliospheric current sheet, the values of the relative velocity fluctuation u/U are the largest and decrease most repidly, instead u/U varies vety slowly over the polar. Within several solar radii, the u/U at all latitudes rapidly becomes vary small, after that at almost same slope and same value, decreases very slowly with increasing distance. Above results show firstly that the propagation nature of polar Alfven waves is different to that near the heliospheric current sheet.

The thesis discussed the two formulae on the law of electromagnetic inductionin the college textbook"general physics",i.e.calculating formulae"the induction current inthe closed return circuit"and"induction quantity passing through return circuit or loop".Thetenability of the two formulae is thought prerequisite,that is,the conductivity or resistivityin the closed loop is well-distributed(i.e.equal everywhere).