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2. Division by zero - Wikipedia

   en.wikipedia.org/wiki/Division_by_zero

   Division by zero. The reciprocal function y = 1 x. As x approaches zero from the right, y tends to positive infinity. As x approaches zero from the left, y tends to negative infinity. In mathematics, division by zero, division where the divisor (denominator) is zero, is a unique and problematic special case. Using fraction notation, the general ...

3. Aleph number - Wikipedia

   en.wikipedia.org/wiki/Aleph_number

   Aleph-nought, aleph-zero, or aleph-null, the smallest infinite cardinal number. In mathematics, particularly in set theory, the aleph numbers are a sequence of numbers used to represent the cardinality (or size) of infinite sets that can be well-ordered. They were introduced by the mathematician Georg Cantor [1] and are named after the symbol ...

4. Zero to the power of zero - Wikipedia

   en.wikipedia.org/wiki/Zero_to_the_power_of_zero

   Zero to the power of zero. Zero to the power of zero, denoted by 00, is a mathematical expression that is either defined as 1 or left undefined, depending on context. In algebra and combinatorics, one typically defines 00 = 1. In mathematical analysis, the expression is sometimes left undefined. Computer programming languages and software also ...

5. Euler's identity - Wikipedia

   en.wikipedia.org/wiki/Euler's_identity

   Euler's identity. In mathematics, Euler's identity [note 1] (also known as Euler's equation) is the equality. is pi, the ratio of the circumference of a circle to its diameter. Euler's identity is named after the Swiss mathematician Leonhard Euler. It is a special case of Euler's formula when evaluated for .

6. 0 - Wikipedia

   en.wikipedia.org/wiki/0

   0 ( zero) is a number representing an empty quantity. Adding 0 to any number leaves that number unchanged. In mathematical terminology, 0 is the additive identity of the integers, rational numbers, real numbers, and complex numbers, as well as other algebraic structures.

7. Zero-based numbering - Wikipedia

   en.wikipedia.org/wiki/Zero-based_numbering

   Zero-based numbering is a way of numbering in which the initial element of a sequence is assigned the index 0, rather than the index 1 as is typical in everyday non-mathematical or non-programming circumstances. Under zero-based numbering, the initial element is sometimes termed the zeroth element, [1] rather than the first element; zeroth is a ...