Table of Contents
What is not defined symbol?
The symbol looks like an tilted 8 or like this ∞. Not defined means the result is not defined for the particular operation. Like divide by zero, OR , lets take an an example, such as 1/0. The result when denominator is zero is not defined .
Is infinite not defined?
The value of infinity is also undefined. What is the difference between Infinity and Undefined? Undefined means, it is impossible to solve. Infinity means, it is without bound.
Is infinite and not defined same?
In mathematics, anything divided by zero is not defined (and not infinity). But ‘limit’ (1/x); x->0 is well defined and is equal to infinity (it is the basic concept of limits).
What is undefined and infinite?
Infinity is an unbounded value. Undefined means we can’t assign a value to it, not even infinity. When we divide 1 by 0 and take the limit from the right, we get positive infinity, if we take it from the left we get negative infinity.
What’s the name of the infinity symbol?
the lemniscate
The symbol for infinity that one sees most often is the lazy eight curve, technically called the lemniscate. This symbol was first used in a seventeenth century treatise on conic sections. It caught on quickly and was soon used to symbolize infinity or eternity in a variety of contexts.
What does the symbol Infinity mean in complex analysis?
In complex analysis the symbol , called “infinity”, denotes an unsigned infinite limit. means that the magnitude of x grows beyond any assigned value. A point labeled can be added to the complex plane as a topological space giving the one-point compactification of the complex plane.
What is the difference between infinite and not defined number?
There is a stark difference between Infinite and not defined number . Any number when divided by zero is a not defined number whereas infinite are vague large number that is dependent on reference or reader . For example – when you divide 5 by 0.1 , then ans. is 5 .
What is the value of Infinity?
Infinity and not defined are two different notions.But at one point they are linked.If you divide any number by 0, the resulting number is so huge that we call it infinity. Practically, no one knows what the value of infinity is.If you want to know why a number when divided by 0 yields infinity, think a number 2 is divided by 10,100,1000..etc.
How does the mathematical concept of Infinity relate to philosophy?
Thus the mathematical concept of infinity refines and extends the old philosophical concept, in particular by introducing infinitely many different sizes of infinite sets. Among the axioms of Zermelo–Fraenkel set theory, on which most of modern mathematics can be developed, is the axiom of infinity, which guarantees the existence of infinite sets.