The coefficient is the numerical value of the relationship. Once a coefficient is estimated, it shows the relationship between two or more variables. For example, the Pearson correlation between variables X and Y accurately quantifies the relationship between them, indicating that the relationship between them is very strong.
concept
For example, the coefficient of abc is 1 and the degree is 3. Literal meaning of coefficient: related figures. For example, the algebraic expression "3x" represents the product of a constant 3 and an unknown X, that is, 3xx, which is equal to x+x+x, and "3x" represents a numerical value, which is only related to X. What is the relationship? "3" means relationship-it is the sum of the three.
So "coefficient" can be interpreted as "how many unknowns (sum of addition)". In an item, the index and number of unknown items are called this item. Items that do not contain unknowns are called constant items. For example: 1, 2, 3, 100 and so on. The degree of a constant is 0.
meaning
The usage of the word "coefficient" here is different from the original usage, but it can still be borrowed. Suppose that the social relationship to be reflected is 3x = y, where x represents the basic situation (population, resources and other facts), and the situation in different countries is different, and 3 represents the number system-the number representing the relationship. Through this multiplication, we can get the actual situation of the corresponding country that it wants to sketch, that is, the number Y.
Of course, it is uncertain whether this can truly reflect the actual social relations. Mathematical summary. When discussing mathematical problems, in expressions or equations related to specific variables (or unknown functions) and their derivatives, known functions or constants multiplied by unknowns are called coefficients. The term coefficient is also widely used in physics, engineering and computer technology.
Such as the ratio of the partial value of a quantity to the total value, or some related figures in the relationship between the change of one quantity and the change of other quantities, are called coefficients. At this time, the coefficient is often preceded by the proper names of related phenomena or things, such as "expansion coefficient" and "carbolic acid coefficient".
The numerical factor in the monomial is also called the coefficient of this monomial. The factor of the highest power term in a polynomial is called the coefficient of the polynomial. The numerical factor in a monomial is its coefficient.