claim: Innovation is often also viewed as the application of better solutions that meet unarticulated cats.
evidence: In mathematics , an algebraic expression is an expression built up from integer constants , variables , and the algebraic operations -LRB- addition , subtraction , multiplication , division and exponentiation by an exponent that is a rational number -RRB- .. mathematics. mathematics. expression. expression ( mathematics ). constants. constant ( mathematics ). variables. Variable ( mathematics ). addition. addition. subtraction. subtraction. multiplication. multiplication. division. Division ( mathematics ). exponentiation. exponentiation. rational number. rational number. For example , is an algebraic expression .. expression. expression ( mathematics ). Since taking the square root is the same as raising to the power ,. square root. square root. is also an algebraic expression .. expression. expression ( mathematics ). By contrast , transcendental numbers like π and e are not algebraic .. E ( mathematical constant ). A rational expression is an expression that may be rewritten to a rational fraction by using the properties of the arithmetic operations -LRB- commutative properties and associative properties of addition and multiplication , distributive property and rules for the operations on the fractions -RRB- .. expression. expression ( mathematics ). addition. addition. multiplication. multiplication. rational fraction. rational fraction. commutative properties. commutative property. associative properties. associative property. distributive property. distributive property. arithmetic. arithmetic. fractions. fraction ( mathematics ). In other words , a rational expression is an expression which may be constructed from the variables and the constants by using only the four operations of arithmetic .. expression. expression ( mathematics ). constants. constant ( mathematics ). variables. Variable ( mathematics ). arithmetic. arithmetic. Thus , is a rational expression , whereas is not .. expression. expression ( mathematics ). A rational equation is an equation in which two rational fractions -LRB- or rational expressions -RRB- of the form are set equal to each other .. fractions. fraction ( mathematics ). These expressions obey the same rules as fractions .. fractions. fraction ( mathematics ). The equations can be solved by cross-multiplying .. cross-multiplying. cross-multiplication. Division by zero is undefined , so that a solution causing formal division by zero is rejected .. division. Division ( mathematics ). Division by zero. Division by zero