- Chinese name
- Analytic expression
- Foreign name
- analytic expression
- Abbreviation
- type
- Example
- Algebraic expression
- Classification
- Mathematical noun
- Definition
- One of the basic concepts of algebra
Analytic expression is one of the basic concepts of algebra. The formula that combines numbers and letters according to certain rules with operation symbols and brackets is called Analytic expression , commonly referred to as type 。 for example
And so on are analytic expressions. Generally, the symbols f (x), g (x), etc. are used to represent the analytic expression containing a variable letter x, and the symbols f (x, y), g (x, y), etc. are used to represent the analytic expression containing two variable numerals x, y. [1] Analytic expressions containing letters can be regarded as functions with the letter as an independent variable. If an analytic expression contains only addition, subtraction, multiplication, division, power and square root operations, such analytic expression is called Algebraic expression 。 A single number or letter is also called an algebraic expression, and an algebraic expression without the square root of variable letters is called Rational formula 。 The rational formula in which the division formula does not contain variable letters is called Integral form or polynomial 。 The integral formula only contains multiplication operations (including non negative integer power) is called monomial The rational formula containing variable letters in the division formula is called fraction 。 The algebraic expression containing the square root operation of variable letters is called Irrational formula 。 Analytic expressions that only contain exponential operation, logarithmic operation, trigonometric operation and anti trigonometric operation for variable letters are called exponential expression, logarithmic expression, trigonometric expression and anti trigonometric expression respectively. Analytic expressions containing the above transcendental operations are collectively referred to as transcendental expressions. [1] Analytic expressions can be classified as follows:
When there are variable letters, the classification of the analytic expression is for the specified variable letters, for example
The letter x, y, or x is transcendental, and the letter y is fractional. [1] The following generalized definition can also be put forward: a meaningful symbol string composed of numbers, letters (literal symbols), operation symbols, brackets and other symbols according to a certain rule, and the string only contains a limited number of symbols. Such symbol string is called analytic expression. [1]
