(1) The free energy is analytic function in temperature.

(2) The result generalizes the corresponding theory of analytic function.

(3) Two proving method for Chain rule of analytic function.

(4) Analytic function is the primary object of complex function theory, which has important properties and widespread applications.

(5) This will definitely affect the outcome of any analytic function.

(6) A analytic function can be derived to fit the observed amplitude value curve.

(7) This paper discusses several equivalent propositions in analytic function and their application to the nonsource and irrotation problems of plane field in physics.

(8) You can use it as an aggregate or analytic function.

(9) Based on the polarization sensitive array, the joint spectrum is defined and its analytic function is presented by using MUSIC method.

(10) The windowing clause gives us a way to define a sliding or anchored window of data, on which the analytic function will operate, within a group.

(11) Applying association rule mining to CRM can deepen the analytic function of CRM.

(12) The proposed adaptive optimization method has been validated using several analytic function tests. Numerical results show that the algorithm has the property of fast global searching.

(13) In this paper(), the problem of boundary value for analytic function system is discussed by introducing exponential matrix and logarithmic matrix.

(14) Maximum modulus principle plays an important role in the complex analytics, and it is a powerful tool in studying the analytic function.

(15) And the distributed boundary value's integral formula of another set of analytic function in upper half-plane is established.

(16) Based on the conformal conversion method to simplify the shape of the region, derives an analytic function formula of temperature distribution field around a cylindrical heating pipe.

(17) The total field is represented by the production of the vertical eigen-modes and the radial analytic function.

(18) Meanwhile, the solutions to the problem and solvability conditions are obtained, and we extend the solution space from analytic function space into the meromorphic function space.

(19) The sub-system of Project Monitor resolves the difficult problem of monitoring the project's real-time status by the managers and has a certain analytic function for the statistic data.

(20) The factorization theory of meromorphic and entire functions is one of interesting problems in complex analytic function theory.