Coefficient in different fields.
1, the coefficient in algebra.
In algebra, coefficients are usually multiplied by unknowns to indicate the weight or size of terms in polynomials. For example, in the algebraic expression 2x 2+3x 4, 2, 3 and 4 are the coefficients of each term. They determine the weight of each term, that is, the product of the power of unknown x and the coefficient.
2, the coefficient in the equation.
In the equation, the product of the coefficient and the unknown constitutes the terms of the equation. For example, the linear equation 2x+5=0, and 2 is the coefficient of X. The value of the coefficient can affect the solution of the equation.
3. Coefficients in the fields of science and engineering.
In the field of science and engineering, coefficients are often used to express the relationship and proportion between physical quantities. For example, the regression coefficient in linear regression indicates the degree of influence of independent variables on dependent variables. Refractive index is a coefficient that describes the change of light propagation speed in optics.
4. Coefficients in chemical equations.
Coefficient can also be used to express the molar ratio of reactants and products in chemical equation and the rate constant in chemical reaction rate equation.
The source and application of coefficient;
1, the origin of the coefficient.
The original text of coefficient is coefficient, which is said to be a vocabulary created by the French mathematician Veda. It can be understood as "realizing together", which realizes the whole result and variables together.
The word "coefficient" is said to have been translated by Li, a famous mathematician in Qing Dynasty. Li is a famous mathematician in modern China, who has made three great achievements in mathematical research: prime number theory, stacking technique and sharp cone technique. The theory of pointed cone technology is mainly found in three works: revealing secrets with arrows, explaining mysteries with Fiona Fang, and exploring the source with logarithm.
2. Application of coefficient.
In linear algebra, a coefficient is an element in a matrix, which is used to represent the weight of each vector in the matrix. In calculus, coefficient is a constant factor of derivative, which is used to express the rate of change of function; In probability theory, coefficient is a constant factor in probability distribution function, which is used to represent the probability of events.