Expressions
A mathematical expression is a sequence of symbols which can be evaluated. For example, if the symbols represent numbers, the expressions are evaluated according to a conventional order of operations which provides for calculation, if possible, of any expressions within parentheses, followed by any exponents and roots, then multiplications and divisions and finally any additions or subtractions, all done from left to right. In a computer language, these rules are implemented by the compilers. For more on expression evaluation, see the computer science topics: eager evaluation, lazy evaluation, and evaluation operator.
Read more about this topic: Mathematical Notation
Famous quotes containing the word expressions:
“Those expressions are omitted which can not with propriety be read aloud in the family.”
—Thomas Bowdler (1754–1825)
“The expressions of the poet cannot be analyzed; his sentence is one word, whose syllables are words. There are indeed no words quite worthy to be set to his music. But what matter if we do not hear the words always, if we hear the music?”
—Henry David Thoreau (1817–1862)
“Compare the history of the novel to that of rock ‘n’ roll. Both started out a minority taste, became a mass taste, and then splintered into several subgenres. Both have been the typical cultural expressions of classes and epochs. Both started out aggressively fighting for their share of attention, novels attacking the drama, the tract, and the poem, rock attacking jazz and pop and rolling over classical music.”
—W. T. Lhamon, U.S. educator, critic. “Material Differences,” Deliberate Speed: The Origins of a Cultural Style in the American 1950s, Smithsonian (1990)