Is undefined infinity or zero?

Is undefined infinity or zero?

In mathematics, expressions like 1/0 are undefined. But the limit of the expression 1/x as x tends to zero is infinity. Similarly, expressions like 0/0 are undefined. But the limit of some expressions may take such forms when the variable takes a certain value and these are called indeterminate.

Is undefined greater than infinity?

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.

Is infinity undefined or indeterminate?

The big difference between undefined and indeterminate is the relationship between zero and infinity. When something is undefined, this means that there are no solutions. However, when something in indeterminate, this means that there are infinitely many solutions to the question.

Is indeterminate the same as infinity?

It cannot be determined. Indeterminate means ‘impossible to calculate an exact value’. For example a system of N equations and M variables with M>N is indeterminate because every variable can assume more than one value. Infinite means a set of elements with cardinality of N or C.

Does undefined mean does not exist?

An expression is “undefined” if it’s gibberish, i.e., it can’t be parsed in the rules of the system we’re working in. Something “does not exist” if the expression potentially referring to that something can be parsed but nothing fulfills the criteria that expression establishes.

Is no solution the same as undefined?

If something is undefined in mathematics, that just means that there’s no object/operation in the system we’re working in that has a given property. If an equation or system of equations has no solution, that means there’s no object in the relevant system that satisfies the equation(s).

Is undefined equal to zero?

We can say, zero over zero equals x. Just say that it equals “undefined.” In summary with all of this, we can say that zero over 1 equals zero. We can say that zero over zero equals “undefined.” And of course, last but not least, that we’re a lot of times faced with, is 1 divided by zero, which is still undefined.

What does undefined mean in physics?

An undefined or an infinity means that the mathematical model fails and a new physics model/theory has to be found. In your example the model fails for 0 density and either a new formula is needed for the vacuum, or the target ( terminal velocity) is meaningless in vacuum.

What does undefined mean in mathematics?

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.

What is difference between ‘Infinity’ and ‘undefined’?

Difference Between Infinity and Undefined • Undefined means, it is impossible to solve. • Infinity means, it is without bound.

Why is zero times infinity undefined?

If you are interested, here is the proof that infinity divided by infinity does not equal to one. In actuality, when any number (including zero) is multiplied with infinity, then the results are always undefined. Therefore, zero times infinity is undefined.

Does undefined always mean Infinity?

Infinity is undefined, but that does not mean that anything that is undefined, is infinity. Infinity is a concept, not a number that we can play with. Although it does not apply well to this example, there is a lot more rigorous mathematics regarding infinity, different magnitudes, and different orders of infinity than you probably would expect.

Is infinity minus one still Infinity?

Infinity is a concept, an idea – not a number. Something that never ends minus one, would still never end. In this sense, infinity minus 1 is still infinity. Or you can say that infinity minus 1 is infinity minus 1. Infinity is not a number so you cannot add or subtract it.