## Study on adaptive connection equation in discontinuous area of data curve

**YAN Kun(Xi'an Modern Nonlinear Science Applying Institute,Xi'an 710061,China)**

In this paper,by discussing the properties in discontinuous area of data curve,a form of adaptive connection equation and the method determining parameters in discontinuous area are given.Subsequently,a computing example is given too.For the step discontinuous area of slowly varying data curve,its form of adaptive connection equation can be obtained by automatic calculating.And in this paper,based on the form of adaptive connection equation,equations of magnetic hysteresis loop for magnetic material,smooth average energy equation (such as zero-point energy equation and average energy equation at negative absolute temperature,etc),equation of average binding energy per nucleon in stable nuclide,potential energy functional equation (such as potential energy functional equation of diatomic molecule,etc),equation of natural saturation process (such as tree growth and physical reaction or chemical reaction process,equation of fracture toughness for steel material,etc) and equation of typical creep process for metal or rock material are explored and analyzed tentatively.

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