1, equation
Equation is a mathematical term, which refers to a mathematical statement with an equal sign (=), indicating the equal relationship between two expressions or numbers. Equations can contain variables, constants and operators, as well as various mathematical symbols and functions.
2+3=5 This is a simple addition equation, which means that the expression 2+3 on the left is equal to the expression 5 on the right. X+7= 12: This is an equation with variables, which means that the result of adding 7 to the unknown X is equal to 12.
The purpose of an equation is to solve the value of an unknown quantity or variable, that is, to find a solution that satisfies the equation. In mathematics and science, equations are important tools for solving problems, deducing proofs and establishing mathematical models.
2. Identity
Identity is a mathematical term, which refers to an equation that holds no matter what value a variable takes. Simply put, an identity is an equation that all legal values can satisfy.
Logos are usually represented by an identification symbol (≡) instead of an ordinary equal sign (=) to emphasize their special properties.
A+B) 2 ≡ A 2+2AB+B 2 This is the identity of quadratic expansion, which holds for any real numbers A and B.
Sin 2 (x)+cos 2 (x) ≡ 1 This is the square sum identity of trigonometric functions, which holds for any real number X.
3. Inequality
Inequality is a declarative form that describes the relationship between the size of a numerical value or expression in mathematics.
Greater than (>) means that the value or expression on the left is greater than that on the right. Less than (
Greater than or equal to (≥) means that the value or expression on the left is greater than or equal to the value or expression on the right. Less than or equal to (≤) means that the value or expression on the left is less than or equal to the value or expression on the right.