https://en.wikipedia.org › wiki › Undefined_(mathematics)

Learn the meaning and usage of the term undefined in various branches of mathematics, such as geometry, algebra, analysis, and computability theory. Find out how undefined terms, functions, and expressions are related to concepts like domain, singularity, and infinity.

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When referring to the result of a mathematical operation, undefined means there is no meaningful result. When referring to a mathematical object which satisfies some mathematical relationship, undefined means no object satisfies that relationship.

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Much like the empty set is used to illustrate the fact that no value satisfies a given equation, the undefined set illustrates the fact that the equation is satisfied by exactly two values, i.e $\infty$ and $-\infty$. So by definition, this undefined set could be $\ {\infty, -\infty\}$.

https://www.khanacademy.org › math › algebra › x2f8bb11595b61c86:foundation-algebra › x2f8bb...

Watch this video to learn how to deal with undefined and indeterminate expressions in algebra, and why they are different from each other.

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In a function f (x), "x" is the domain. if there is a value of x where you can not work out f (x) it means that f (x) is undefined for that value of x. Let's analyze an example: f (x)=a/b This function is defined for every value of b (with b been a real number) different from zero, remember we can not divide by zero.

https://mathworld.wolfram.com › Undefined.html

An expression in mathematics which does not have meaning and so which is not assigned an interpretation. For example, division by zero is undefined in the field of real numbers.

https://www.themathdoctors.org › zero-divided-by-zero-undefined-and-indeterminate

Here is what we mean by "indeterminate." The value of 1/0 is called "undefined" because there is NO number x that satisfies the equation 1/0 = x, or equivalently, 0*x = 1. In contrast, EVERY number x satisfies the equation 0/0 = x, or equivalently, 0*x = 0.