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While writing $\frac {1} {0}$ is much more convenient than writing that expression, it has the downside that many people take it to mean literary $1$ divided by $0$ In the nginx example above, each pod receives a single In the context of limits, $0/0$ is an indeterminate form (limit could be anything) while $1/0$ is not (limit either doesn't exist or is $\pm\infty$)

This is a pretty reasonable way to think about why it is that $0/0$ is indeterminate and $1/0$ is not For each volumeclaimtemplate entry defined in a statefulset, each pod receives one persistentvolumeclaim However, as algebraic expressions, neither is defined

Division requires multiplying by a multiplicative inverse, and $0$ doesn't have one.

To address the question why $1/0$ is undefined, note that if $1/0$ is some real number $r$ then $1 = 0 \cdot r = 0$ by one of the properties shared by the usual number systems. The problems with extending the definition of division to make $\frac {1} {0}$ meaningful appear when you treat it like any other real number The real numbers have certain operations defined on them, notably addition, subtraction, multiplication and (except when the denominator is $0$) division. Few days ago, i was attending lecture of introduction to computers (itc) in my university and there was one question

** i checked it on my phone and it says 1/0. Guess what, computers can lie to you Hey look, f (1) = 2 We can divide by zero after all

Nope, sorry, thanks for playing

First, understand that computer generated graphs are nothing but points strung together What you're looking at is an attempt to correctly draw the graph The flaw is that every pixel takes up space So we can zoom in on that graph right where we know there should be a.

And why it isn't undefined (what my calculator says) or nan. I have recently come up with a proof of 1/0 = ∞ We will first write 1 and 0 as powers of 10 Getting started the other day, i was working on a project at home in which i performed division by zero with a double precision floating point number in my code

This isn't always undefined in the computer world and can sometimes result in $\infty$

The reason for this is clearly explained in ieee 754 and quite thoroughly in this stackoverflow post Division by zero (an operation on finite.

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