The impact proof mass on the gyros performance is discussed on the basis of microgyro dynamic equation and several important parameters in the design of micromechanical vibrating gyros, including equivalent moment of inertia constraint conditions in the inner and outer gimbals, sensitivity, etc .

Two new equivalent conditions of extensively subexponential densities;

Some equivalent conditions of one class of heavy-tailed distributions;

Equivalent condition of minimal square solution in Hilbert space and its application;

quasi_invex vector function, Ⅰ_strictly quasi_invex vector function and KT _Ⅰ_strictly quasi_invex vector function are defined, and then the equivalent conditions that every stationary point or Kuhn_Tucker point is an efficient point are obtained for multiobjective programming.

The present paper deals with the conditions of two-parameter σ-fields in the two-parameter martingales theory, and presents some equivalent conditions of (F5)-condition and G(F4′)-condition and their verification.

Lessee s pre-emption right refers to the transfer of housing lessor,under the same conditions,lessee has priority to purchase the house over other people according to the law.