First of all, the laws of mathematical symbols can help us simplify the complicated calculation process. For example, we can use the multiplication distribution law to simplify the multiplication operation of polynomials. This law tells us that each term of a polynomial multiplied by another polynomial is equal to the sum of each term of this polynomial multiplied by another polynomial. This can avoid the tedious process of multiplying one by one and greatly improve the calculation efficiency.
Secondly, the laws of mathematical symbols can help us understand and explain the mathematical phenomena in practical problems. For example, we can use derivatives to describe and analyze the changing trend of functions. Derivative is a very important mathematical concept, which is widely used in physics, engineering, economy and many other fields. By studying the derivative of the function, we can know the tangent slope of the function at a certain point and then predict the future change of the function.
In addition, the laws of mathematical symbols can also help us to establish and solve various mathematical models. For example, we can use calculus to establish and solve optimization problems. In economics, profit maximization or cost minimization is a typical optimization problem. By establishing an appropriate mathematical model, we can use calculus to find the optimal solution.
Generally speaking, the application of mathematical symbol law in practical problems is mainly reflected in simplifying calculation, understanding and explaining mathematical phenomena, establishing and solving mathematical models and so on. Mastering and using these symbolic laws skillfully can better understand and solve practical problems.