In mathematics, division by zero, division where the divisor (denominator) is zero, is a unique and problematic special case. Using fraction notation,...

"Division by Zero" is a science fiction short story by American author Ted Chiang, initially published in 1991 in Full Spectrum 3 magazine and subsequently...

level mathematics division by zero is possible by the zero ring and algebras such as wheels. In these algebras, the meaning of division is different from...

Division by zero is a term used in mathematics if the divisor (denominator) is zero. Division by Zero or Dividing by Zero or Divide by Zero may also refer...

exhaustive. In arithmetic, and therefore algebra, division by zero is undefined. Use of a division by zero in an arithmetical calculation or proof, can produce...

other algebraic structures. Multiplying any number by 0 results in 0, and consequently division by zero has no meaning in arithmetic. As a numerical digit...

allow for the existence of two zeros, often denoted by −0 (negative zero) and +0 (positive zero), regarded as equal by the numerical comparison operations...

example, the reason why validity fails may be attributed to a division by zero that is hidden by algebraic notation. There is a certain quality of the mathematical...

drowning in a lake near his house. Cryptic Crunch (Koyote Records, 1999) Division by Zero (Spiral Trax, 2003) Cryptic Crunch (Avatar Records / ProFile, remastered...

have at least one seat to avoid a division by zero error. In the U.S. House of Representatives, this is ensured by guaranteeing each state at least one...

challenges of providing a rigorous meaning of "division by infinity" are analogous to those of defining division by zero. As infinity is difficult to deal with...

exception handling: indications of exceptional conditions (such as division by zero, overflow, etc.) IEEE 754-2008, published in August 2008, includes...

positive; the product of zero and a negative, of zero and a positive, or of two zeros is zero. But his description of division by zero differs from our modern...

designer and then a photographer. "Tower of Babylon", Omni, 1990 "Division by Zero", Full Spectrum 3, 1991 "Understand", Asimov's Science Fiction, 1991...

algebra (in the sense of universal algebra) where division is always defined. In particular, division by zero is meaningful. The real numbers can be extended...

winner) "Understand" (originally published in Asimov's, August 1991) "Division by Zero" (originally published in Full Spectrum 3, June 1991) "Story of Your...

other root contains division by zero, because when a = 0, the quadratic equation becomes a linear equation, which has one root. By contrast, in this case...

added to itself). On the other hand, this kind of infinity enables division by zero, namely z / 0 = ∞ {\displaystyle z/0=\infty } for any nonzero complex...

complex numbers are useful in complex analysis because they allow for division by zero in some circumstances, in a way that makes expressions such as 1 /...

x=0} , where the value of the function is not defined, as involving a division by zero. The absolute value function g ( x ) = | x | {\displaystyle g(x)=|x|}...

{\displaystyle r=r\times 1=r\times 0=0.} In this case it is possible to define division by zero, since the single element is its own multiplicative inverse. Some properties...

A1 and B1 are not empty, and B1 is not zero, then divide A1 by B1, if B1 is zero, then display "Division by zero", and do not display anything if either...

runtime errors exist and are handled differently by different programming languages, such as division by zero errors, domain errors, array subscript out of...

them, the sin ⁡ π z {\displaystyle \sin \pi z} term would produce a division by zero. The result of this extension process is an analytic function, the...

errors. Division by zero is an unsafe and incorrect operation, but a type checker which only runs at compile time does not scan for division by zero in most...

Brahmagupta allows division by zero resulting in a fraction with a 0 in the denominator, and defines 0/0 = 0. In modern mathematics, division by zero is undefined...

a field by four binary operations (addition, subtraction, multiplication, and division) and their required properties. Division by zero is, by definition...

because it loops endlessly or because it aborts due to an error such as division by zero. A function that is not strict is called non-strict. A strict programming...

necessarily over real numbers), but standard algorithms may encounter division by zero in this more general setting. Methods for performing orthogonalization...

that attempt to prove that 1=2, which often rely on an inconspicuous division by zero. The horse paradox, which falsely generalises from true specific statements...