0 0
Remember that a b means the number which when multiplied by b gives a for example the reason 1 0 is undefined is because there is no number x such that 0 x 1 the situation with 0 0 is strange because every number x satisfies 0 x 0.
0 0. Another one can argue that 0 0 is 1 because anything divided by itself is 1. Devices assigned 0 0 0 0 are not connected to a tcp ip network and might have experienced a failure. This had previously been the subject of some debate in the mathematical community until donald knuth set things straight in 1992 so it s understandable that some confusion lingers but the modern convention is to define math 0 0 1 math for. 0 cdot x 0.
0 0 0 0 is an ip address but not a normal one. To avoid breaking math we simply say that 0 0 is undetermined. And that s exactly the problem. The most common possibilities are 1 or leaving the expression undefined with justifications existing for each depending on context.
But kahan has argued that 0 0 0 0 should be 1 because if f x g x 0 as x approaches some limit and f x and g x are analytic functions then f x g x 1. The situation with 0 0 frac 0 0 0 0 is strange because every number x x x satisfies 0 x 0. Then we argue the value is perfectly well defined contrary to what many texts say. For math science nutrition history geography engineering mathematics linguistics sports finance music wolfram alpha brings expert level knowledge and.
But what if 0 is just a number. Square of course there are many possible counterarguments to this. Compute answers using wolfram s breakthrough technology knowledgebase relied on by millions of students professionals. One can argue that 0 0 is 0 because 0 divided by anything is 0.
Whatever we say 0 0 equals to we contradict one crucial property of numbers or another. As a rule of thumb one can say that 0 0 1 but 0 0 0 0 is undefined meaning that when approaching from a different direction there is no clearly predetermined value to assign to 0 0 0 0. Because there s no single choice of x x x that works there s no obvious way to define 0 0 frac 0 0 0 0 so by convention it is left undefined.