query: Why don't we define division by zero as an arbritrary constant such as $j$?
positive_passages.docid: 19655
positive_passages.text: Why don't we define "imaginary" numbers for every "impossibility"?
negative_passages.docid: 26764
negative_passages.text: Proving that $\mathbb R^3$ cannot be made into a real division algebra (and that extending complex multiplication would not work)
negative_passages.docid: 46798
negative_passages.text: Is it possible that the zeroes of a polynomial form an infinite field?
negative_passages.docid: 43385
negative_passages.text: Why is $\frac{\operatorname dy'}{\operatorname dy}$ zero, since $y'$ depends on $y$?
negative_passages.docid: 151017
negative_passages.text: Division in $1$ variable
negative_passages.docid: 80635
negative_passages.text: Why does division by zero with floating point (or double precision) numbers not throw java.lang.ArithmeticException: / by zero in Java
negative_passages.docid: 124662
negative_passages.text: Why do we believe the equation $ax+by+c=0$ represents a line?
negative_passages.docid: 104158
negative_passages.text: $\frac 00=$ ? Why It is un answerable?
negative_passages.docid: 50543
negative_passages.text: Simple division in Java - is this a bug or a feature?
negative_passages.docid: 31783
negative_passages.text: Is this proof of $ab = 0$ correct?
negative_passages.docid: 65416
negative_passages.text: Is there a different way to define multiplication on Complex numbers?
negative_passages.docid: 128446
negative_passages.text: Why polynomial division algorithm works for $x-a$ or any monic polynomial?
negative_passages.docid: 127934
negative_passages.text: Division result is always zero
negative_passages.docid: 23615
negative_passages.text: Why does zero derivative imply a function is locally constant?
negative_passages.docid: 52621
negative_passages.text: Why is $\det(A - \lambda I)$ zero?
negative_passages.docid: 94627
negative_passages.text: What's wrong with this derivation that $i\hbar = 0$?
negative_passages.docid: 97890
negative_passages.text: $\{1,1\}=\{1\}$, origin of this convention