1. With the method of calculus of variations, a most optimal consumption ratio is confirmed, which is helpful for the development of economics.

2. Using calculus of variationS, necessary conditions of the optimization problem are developed.

3. Parameter estimation method with constraints based on calculus of variations was introduced in order to get an asymptotic and unbiased estimation of parameters.

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4. The calculus of variations equation turns to FEM equation group and solve the equation group to gain the electromagnetic value.

5. The main methods are calculus of variations, finite element method and boundary element method.

6. Using theorems for calculus of variations, the algorithm of image restoration is strictly proved.

7. The necessary conditions for optimality were derived by calculus of variations.

8. After dispersing, the calculus of variations equation turn to FEM equation group and solve the equation group to gain the electromagnetic value.

9. Now anyone versed in the calculus of variations knows exactly the meaning of this Lagrangian multiplier.

10. The inverse problem in calculus of variations is studied, By introducing a new concept called variational integral.

11. The necessary conditions for optimality were derived calculus of variations.

12. The unifying theme is the application of energy methods, developed without the formal mathematics of the calculus of variations.

13. The necessary conditions of the OCP for polymer flooding were deduced by using calculus of variations. Both continuous and discrete cases are studied.

14. It covers arithmetic, elementary and analytic geometry, algebra, differential and integral calculus , special functions, calculus of variations, and probability theory.

15. A criterion of orbit stability in the general central force field is given by calculus of variations.