The concrete form of the sum formula is σ (Greek letter sigma, which stands for sum), followed by each item requiring sum, followed by the serial number of the item in parentheses, starting from 1, and the serial number of the last item is n.
For example, if you need the sum of 1+2+3+4+5, you can use the summation formula σ (1+2+3+4+5). According to the summation formula, the first term is 1, the second term is 2, and so on, and the last term is 5. Add all these items together and the total is 20.
In addition to simple summation, summation formula can also be used to calculate more complex mathematical expressions. For example, the summation formula can be used to calculate the sum of squares, cubes and so on of a series. These advanced usages require certain mathematical knowledge and skills.
In practical application, the summation formula can be used in various fields. For example, in economics, the summation formula can be used to calculate a company's total income, total expenditure and so on. In statistics, the summation formula can be used to calculate the average and median of a set of data. In computer science, summation formula can be used to calculate the sum of all variables in a program and so on.
Function of calculation formula:
1, solving problems: calculation formulas are often used to solve practical and theoretical problems. For example, in physics, Newton's second law F=ma can be used to solve problems about force and acceleration. In economics, calculation formulas can be used to solve problems such as income, cost and profit.
2. Describe the law: the calculation formula can be used to describe the law of natural and social phenomena. For example, in mathematics, Fibonacci series can be expressed by a calculation formula, which describes the law of plant growth. In physics, Einstein's mass-energy equation E=mc? The relationship between energy and matter is described.
3. Simplify the problem: The calculation formula can simplify complex problems and make them easier to understand and solve. For example, in mathematics, the sum-difference product formula of trigonometric functions can transform complex trigonometric function problems into simple algebraic problems.
4. Forecast the future: By analyzing and forecasting the data with calculation formulas, the results of future events can be predicted. For example, in statistics, the formula of regression analysis can be used to predict the future value of variables.
5. Communication: Calculation formula is a universal language, which can be used for communication and cooperation between different fields and disciplines. For example, in scientific research, it is easier to compare research results in different fields by using standard calculation formulas.