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If the exponent n is positive (n > 0), the n th power of zero is zero: 0 n = 0. If the exponent n is negative (n < 0), the n th power of zero 0 n is undefined, because it must equal / with −n > 0, and this would be / according to above. The expression 0 0 is either defined as 1, or it is left undefined.
In some applications and programming languages, notably Microsoft Excel, PlanMaker (and other spreadsheet applications) and the programming language bc, unary operations have a higher priority than binary operations, that is, the unary minus has higher precedence than exponentiation, so in those languages −3 2 will be interpreted as (−3) 2 ...
However, in some programming languages (Microsoft Excel in particular), unary operators bind strongest, so in those cases −5^2 is 25, but 0−5^2 is −25. [20] Similar to the plus sign, the minus sign is also used in chemistry and physics. For more, see § Other uses below.
Unary operation. In mathematics, a unary operation is an operation with only one operand, i.e. a single input. [1] This is in contrast to binary operations, which use two operands. [2] An example is any function f : A → A, where A is a set. The function f is a unary operation on A .
In mathematics, a basic algebraic operation is any one of the common operations of elementary algebra, which include addition, subtraction, multiplication, division, raising to a whole number power, and taking roots ( fractional power). [1] These operations may be performed on numbers, in which case they are often called arithmetic operations.
Tetration is also defined recursively as. allowing for attempts to extend tetration to non-natural numbers such as real, complex, and ordinal numbers . The two inverses of tetration are called super-root and super-logarithm, analogous to the nth root and the logarithmic functions.
Exponential functions with bases 2 and 1/2. The exponential function is a mathematical function denoted by () = or (where the argument x is written as an exponent).Unless otherwise specified, the term generally refers to the positive-valued function of a real variable, although it can be extended to the complex numbers or generalized to other mathematical objects like matrices or Lie algebras.
Sign (mathematics) The plus and minus symbols are used to show the sign of a number. In mathematics, the sign of a real number is its property of being either positive, negative, or 0. Depending on local conventions, zero may be considered as having its own unique sign, having no sign, or having both positive and negative sign.