Improved Taylor formula and its numerical simulation;

Taylor Formula Applied in Deciding the Covergence and Divergence of Infinite Series and Improper Integral;

We use the Taylor expansion to analyze the signature space,which is obtained from calculating the input-output cross-correlation of the DUT(Device Under Testing),to get the delay time of signature-pair.

We can popularize real analysis to complex analysis by the Taylor expansion of analytic function and Laurent expansion in function of the complex variable.

Used method of data collection,"Tyler model" and China s Sports New Curriculum for the collection,clear both their intrinsic significance,discovered "Tyler model," Curriculum to give teachers a lot of room for New Curriculum sports and physical education teachers were given more rights.

Taylor expansion gives proof to the uniqueness theorem and the maximum modules principle, which is simple and clear at a glance, compared with the traditional proo

This paper is devoted to the study of the Taylor expansions of smooth functions on groups of Heisenberg type G , the Taylor expansions of smooth functions onG× R+ , and then existence and uniqueness for viscosity solutions of a kind of partialdifferential equations on groups of Heisenberg type.

By making use of the integral property of geometrically convex functions and geometrical convexity of the two exponential functions,this paper obtains two new estimation formulas of the remainder term in Taylor expansion of ex(x>0) and e-x(x>0),and two new inequalities.