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An algebraic equation is an equation involving polynomials, for which algebraic expressions may be solutions. If you restrict your set of constants to be numbers, any algebraic expression can be called an arithmetic expression. However, algebraic expressions can be used on more abstract objects such as in Abstract algebra.
Thus an expression represents an operation over constants and free variables and whose output is the resulting value of the expression. [ 22 ] For a non-formalized language, that is, in most mathematical texts outside of mathematical logic , for an individual expression it is not always possible to identify which variables are free and bound.
In mathematical logic, a sentence (or closed formula) [1] of a predicate logic is a Boolean-valued well-formed formula with no free variables. A sentence can be viewed as expressing a proposition , something that must be true or false.
Currently, Pennsylvania's elk herd numbers more than 800 and their range covers approximately 800 square miles. [ 6 ] [ 7 ] In 1990, feasibility studies were conducted to determine if wild, free-ranging elk still had a place in some of their former eastern habitats.
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An expression contains often some operators, and may therefore be evaluated by the action of the operators in it. For example, 3 + 2 {\displaystyle 3+2} is an expression in which the operator + {\displaystyle +} can be evaluated for giving the result 5. {\displaystyle 5.}
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A ground term is a term that contains no variables. Ground terms may be defined by logical recursion (formula-recursion): Elements of are ground terms;; If is an -ary function symbol and ,, …, are ground terms, then (,, …,) is a ground term.