I. Introduction to Algebraic Expressions
Algebraic formula is the general name of monomial and polynomial, and it is a part of rational formula. In rational expressions, there can be five operations: addition, subtraction, multiplication, division and multiplication, but in algebraic expressions, the divisor cannot contain letters. An algebraic expression consisting of the product of numbers and letters or the product of letters and letters is called a monomial, and a single number or letter is also a monomial.
Generally speaking, if A and B(B is not equal to zero) represent two algebraic expressions, and B contains letters, then the formula A/B is called a fraction, where A is called a numerator and B is called a denominator. Fraction is an algebraic expression different from algebraic expression, and its value changes with the change of letter value in fraction.
Second, matters needing attention
More broadly, the sum of 1 or 0 monomials is also a polynomial. According to this definition, polynomials are algebraic expressions. In fact, there is no theorem that is valid only for narrow polynomials but not for monomials. When 0 is a polynomial, the degree is defined as negative infinity (or 0). Monomial and polynomial are collectively called algebraic expressions.
The origin and application of algebraic expressions;
1, the origin of algebraic expressions
The concept of algebraic expression can be traced back to Euclid's Elements of Geometry in the 3rd century BC. However, the modern forms of algebraic expressions were developed by European mathematicians in16th century and17th century. /kloc-in the 6th century, the Italian mathematician luca pacioli used symbols similar to algebraic expressions for the first time, but did not propose a standardized representation of algebraic expressions.
/kloc-in the 7th century, foreign mathematicians Fran? ois Viette and john wallis independently invented the canonical representation of algebraic expressions, and established the basic theory and algorithm of algebraic expressions.
2. Application area
Mathematical proof: in mathematical proof, algebraic expressions are often used to express some abstract mathematical concepts and connections, as well as the derivation process of these concepts and connections. Applied physics and engineering: Algebraic expressions are also widely used in physics and engineering, such as describing the motion of objects and the characteristics of circuits.