Undefined means, it is impossible to solve.What is the difference between Infinity and Undefined? What are the values of ‘infinity-infinity’ and ‘infinity/infinity’? All these are still undefined. In modern mathematics, the square root of -1 is defined as imaginary number i. For example, square root of a negative number was undefined. However, something that is undefined today, may be given a definition in the future. Mathematically, “undefined” can be defined as an expression which is impossible, or an expression which does not have an exact definition, or an expression that cannot be interpreted. However, if you are a mathematician, it is undefined.įor another example what would be the logarithm of a negative number? Since we cannot find a number x, such that n x= -r, where n and r are integers we would say the logarithm of a negative number is undefined. What is the value when you divide any number by zero? Is it infinity? If you are physicist, it can be zero depending on the theory you are applying it. Infinity has various applications in mathematics in set theory, calculus and so many other fields. Therefore, it should be clearly understood that the concept of infinity varies depending on the subject area that we are talking about. In other words, it is possible for one infinite set to contain more elements than another infinite set. It is clear that set of real numbers contain more elements than in the set of integers. In set theory, the set of natural numbers, set of integers, and set of real numbers are said to be infinite sets, because all these sets contain infinitely many numbers.
What is the exact value of infinity? Let us answer this question after considering this example. However, infinity is not the largest number, because it is not a number. The term ‘infinity’ comes from a Latin “infinitas”, which means “unboundedness”. The concept ‘infinity’ could have been introduced as an answer to this question. Widely admired for both its technical prowess and elegant ease of. For three decades, Mathematica has defined the state of the art in technical computingand provided the principal computation environment for millions of innovators, educators, students and others around the world. What is the largest number that you can imagine? Whatever the number you pick, one can introduce a number larger than the number you pick by simply adding one to that. The world's definitive system for modern technical computing.
These are more frequently used concepts in many fields, especially in Mathematics and Physics. ‘Infinity’ and ‘undefined’ are two different concepts.
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