1. Definition:
Equation: An equation is an equal relationship between two numbers or expressions, connected by an equal sign "=". The equation expresses the relationship that two quantities are equal in some cases, such as 2+3 = 5.
Equation: An equation is a mathematical expression, which contains an unknown number and the relationship between this unknown number and the known number or other unknowns. Equations are usually connected by an equal sign "=", indicating the relationship between the unknown and the known number, for example, 2x+3 = 7, where x is the unknown.
2. Nature:
Equality: the condition of equality is that the numbers or expressions on both sides of the equal sign are equal. Do the same operation on both sides of the equation, and the equation still holds.
Equation: The condition that the equation holds is that the unknown in the equation can make the equation hold. Solving an equation is to find the value of an unknown quantity that can satisfy the conditions of the equation.
3. Application:
Equation: Equation is mainly used for mathematical calculation, simplification of expression, derivation of equation, etc. It plays an important basic role in mathematics and is the basis of mathematical reasoning and operation.
Equation: Equations are used to solve practical problems and describe the relationships in the real world by establishing mathematical models. Solving equations can solve unknown values, thus solving problems related to the real world, such as problems in physics, engineering, economy and other fields.
4. Contact person:
An equation is a special case of an equation: if both sides are completely equal, the equation is an equation. For example, the equation 2x+3 = 2x+3 is an equation, because the expressions on both sides are equal.
Equations can contain equations: Equations can contain equations, thus establishing the relationship between a plurality of unknowns. For example, a system of linear equations is a combination of multiple equations, each of which represents a different equality relationship.
To sum up, equations and equations are important concepts in mathematics. Both involve the relation and operation of numbers, but they have different definitions, properties and applications. An equation is a statement that two numbers or expressions are equal, while an equation is a mathematical statement that contains unknowns. They play an important role in mathematics and practical problems, and provide powerful tools for mathematical research and practical application.