Maximum and minimum values of 1. function

The maximum and minimum values of a function refer to the maximum and minimum function values obtained by the function within the definition domain. The commonly used solutions are derivative method and interval method.

2. Find the maximum value of a quadratic equation.

The maximum problem of a quadratic equation in one variable refers to solving the maximum and minimum values of an equation in the form of AX 2+BX+C = 0 under given conditions. It can be solved by derivation, collocation and square complement.

3. Maximum and minimum values in linear programming

In linear programming, the maximum and minimum values refer to the maximum and minimum values that the objective function can achieve under a set of constraints. It can be solved by linear programming model and simplex method.

4. The largest angle in a right triangle

In a right triangle, the problem of angle maximum refers to solving the maximum and minimum values of an angle in a right triangle under given conditions. It can be solved by the properties of trigonometric functions and trigonometric identities.

5. Maximum area in plane geometry

The common problem of maximum area in plane geometry includes the maximum or minimum area of rectangle, square and circle. It can be solved by geometric theorem and mathematical deduction.

6. Maximum volume in solid geometry

The problem of maximum volume in solid geometry refers to solving the maximum or minimum volume of a solid figure under given conditions. It can be solved by geometric theorem and mathematical deduction.

7. Maximum likelihood estimation in probability statistics

In probability statistics, maximum likelihood estimation is a commonly used parameter estimation method, and the goal is to find the parameter values that make the observed values of known samples most likely.

8. The principle of minimum action in physics

The principle of minimum action is a basic principle in physics, which describes the laws followed by various physical processes in nature. According to this principle, the physical process in nature will make the amount of action get a minimum.

9. Maximizing utility and minimizing cost in economics.

In economics, the maximization of utility and the minimization of cost are the goals pursued by economic subjects in the face of scarce resources. Solve it by optimization method and economic model.

10. Shortest Path and Minimum Spanning Tree in Operational Research

In operational research, the shortest path and minimum spanning tree are the problems to solve the optimal path and minimum spanning tree in the network. It can be solved by graph theory algorithm and optimization method.

The Minimum Huffman Code in 1 1. Coding Theory

In coding theory, the minimum Huffman code is a coding method with the smallest average coding length, which can be solved by greedy algorithm and dynamic programming.

12. Optimal parameter selection in numerical calculation

In numerical calculation, optimal parameter selection refers to selecting the parameters that make the objective function get the optimal value under a given numerical calculation model and objective function. It can be solved by optimization algorithm and numerical method.