expression tree - definition. What is expression tree
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FORMULA THAT REPRESENTS A MATHEMATICAL OBJECT
Mathematical expression; Expression (math); Compound expression; Algebraical quantity; Arithmetic expression; Finite expression; Mathematical expressions; Numeric expression

expression tree         
  • Binary algebraic expression tree equivalent to ((5 + z) / -8) * (4 ^ 2)
  • Binary boolean expression tree equivalent to ((true <math>\lor</math> false) <math>\land</math> <math>\neg</math>false) <math>\lor</math> (true <math>\lor</math> false))
  • Stack growing from left to right
  • Formation of a new tree
  • Creating a one-node tree
  • Merging two trees
  • Forming a new tree with a root
  • Steps to construct an expression tree  a b + c d e + * *
BINARY TREE REPRESENTING A MATHEMATICAL EXPRESSION
Expression tree
<mathematics, grammar> The syntax tree of an expression. (1998-11-14)
Binary expression tree         
  • Binary algebraic expression tree equivalent to ((5 + z) / -8) * (4 ^ 2)
  • Binary boolean expression tree equivalent to ((true <math>\lor</math> false) <math>\land</math> <math>\neg</math>false) <math>\lor</math> (true <math>\lor</math> false))
  • Stack growing from left to right
  • Formation of a new tree
  • Creating a one-node tree
  • Merging two trees
  • Forming a new tree with a root
  • Steps to construct an expression tree  a b + c d e + * *
BINARY TREE REPRESENTING A MATHEMATICAL EXPRESSION
Expression tree
A binary expression tree is a specific kind of a binary tree used to represent expressions. Two common types of expressions that a binary expression tree can represent are algebraic and boolean.
Expression (mathematics)         
In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context. Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

ويكيبيديا

Expression (mathematics)

In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context. Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

Many authors distinguish an expression from a formula, the former denoting a mathematical object, and the latter denoting a statement about mathematical objects. For example, 8 x 5 {\displaystyle 8x-5} is an expression, while 8 x 5 5 x 8 {\displaystyle 8x-5\geq 5x-8} is a formula. However, in modern mathematics, and in particular in computer algebra, formulas are viewed as expressions that can be evaluated to true or false, depending on the values that are given to the variables occurring in the expressions. For example 8 x 5 5 x 8 {\displaystyle 8x-5\geq 5x-8} takes the value false if x is given a value less than –1, and the value true otherwise.