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In mathematics, the term undefined refers to a value, function, or other expression that cannot be assigned a meaning within a specific formal system. [1]Attempting to assign or use an undefined value within a particular formal system, may produce contradictory or meaningless results within that system.
The value of a partial function is undefined when its argument is out of its domain of definition.This include numerous arithmetical cases such as division by zero, square root or logarithm of a negative number etc.
For a function of several real variables, a point P (that is a set of values for the input variables, which is viewed as a point in ) is critical if it is a point where the gradient is zero or undefined. [5] The critical values are the values of the function at the critical points.
On the other hand, if a function's domain is continuous, a table can give the values of the function at specific values of the domain. If an intermediate value is needed, interpolation can be used to estimate the value of the function. For example, a portion of a table for the sine function might be given as follows, with values rounded to 6 ...
The value of "undefined" is assigned to all uninitialized variables, and is also returned when checking for object properties that do not exist. In a Boolean context, the undefined value is considered a false value. Note: undefined is considered a genuine primitive type.
This is an accepted version of this page This is the latest accepted revision, reviewed on 9 January 2025. Undefined may refer to: Mathematics Undefined (mathematics), with several related meanings Indeterminate form, in calculus Computing Undefined behavior, computer code whose behavior is not specified under certain conditions Undefined value, a condition where an expression does not have a ...
In section 6.2 of the old IEEE 754-2008 standard, there are two anomalous functions (the maxNum and minNum functions, which return the maximum and the minimum, respectively, of two operands that are expected to be numbers) that favor numbers — if just one of the operands is a NaN then the value of the other operand is returned.
The function whose value at equals ′ whenever ′ is defined and elsewhere is undefined is also called the derivative of . It is still a function, but its domain may be smaller than the domain of f {\displaystyle f} .