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Examples include: Simplification of algebraic expressions, in computer algebra; Simplification of boolean expressions i.e. logic optimization; Simplification by conjunction elimination in inference in logic yields a simpler, but generally non-equivalent formula; Simplification of fractions
Text simplification is an operation used in natural language processing to change, enhance, classify, or otherwise process an existing body of human-readable text so its grammar and structure is greatly simplified while the underlying meaning and information remain the same. Text simplification is an important area of research because of ...
For example, is an expression, while the inequality is a formula. To evaluate an expression means to find a numerical value equivalent to the expression. [ 3 ] [ 4 ] Expressions can be evaluated or simplified by replacing operations that appear in them with their result.
In mathematics, specifically in elementary arithmetic and elementary algebra, given an equation between two fractions or rational expressions, one can cross-multiply to simplify the equation or determine the value of a variable.
For example, the word "test" is only approved as a noun (the test) but not as a verb (to test). There are few exceptions to the "One word, one part of speech, one meaning" principle. Approved meaning/ALTERNATIVES – This column gives the approved meaning (or definition) of an approved word in STE. In the example table, "ACCESS" and "ACCIDENT ...
The same term can also be used more informally to refer to something "standard" or "classic". For example, one might say that Euclid's proof is the "canonical proof" of the infinitude of primes. There are two canonical proofs that are always used to show non-mathematicians what a mathematical proof is like:
A popular example is King Tut's funeral mask which is adorned with turquoise, the Geological Institute of America reports. The stone spans from blue to green in color.
In this example, the equation can be solved in y, giving =, but, in more complicated examples, this is impossible. For example, the relation y 5 + y + x = 0 {\displaystyle y^{5}+y+x=0} defines y as an implicit function of x , called the Bring radical , which has R {\displaystyle \mathbb {R} } as domain and range.