Search results
Results from the WOW.Com Content Network
Division by zero. The reciprocal function y = 1 x. As x approaches zero from the right, y tends to positive infinity. As x approaches zero from the left, y tends to negative infinity. In mathematics, division by zero, division where the divisor (denominator) is zero, is a unique and problematic special case. Using fraction notation, the general ...
The void type, in several programming languages derived from C and Algol68, is the return type of a function that returns normally, but does not provide a result value to its caller. Usually such functions are called for their side effects, such as performing some task or writing to their output parameters. The usage of the void type in such ...
The value of x cannot be negative and, given that signed integer overflow is undefined behavior in C, the compiler can assume that value < 2147483600 will always be false. . Thus the if statement, including the call to the function bar, can be ignored by the compiler since the test expression in the if has no side effects and its condition will never be satisf
The number of elements of the empty set (i.e., its cardinality) is zero. The empty set is the only set with either of these properties. For any set A : The empty set is a subset of A. The union of A with the empty set is A. The intersection of A with the empty set is the empty set. The Cartesian product of A and the empty set is the empty set.
Null pointer. In computing, a null pointer or null reference is a value saved for indicating that the pointer or reference does not refer to a valid object. Programs routinely use null pointers to represent conditions such as the end of a list of unknown length or the failure to perform some action; this use of null pointers can be compared to ...
Undefined terms. In ancient times, geometers attempted to define every term. For example, Euclid defined a point as "that which has no part". In modern times, mathematicians recognize that attempting to define every word inevitably leads to circular definitions, and therefore leave some terms (such as "point") undefined (see primitive notion for more).
The multiplicative identity of R[x] is the polynomial x 0; that is, x 0 times any polynomial p(x) is just p(x). Also, polynomials can be evaluated by specializing x to a real number. More precisely, for any given real number r, there is a unique unital R-algebra homomorphism ev r : R[x] → R such that ev r (x) = r. Because ev r is unital, ev r ...
Well-defined expression. In mathematics, a well-defined expression or unambiguous expression is an expression whose definition assigns it a unique interpretation or value. Otherwise, the expression is said to be not well defined, ill defined or ambiguous. [1] A function is well defined if it gives the same result when the representation of the ...