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Exponentiation (^) n th root (√) Logarithm (log) log. v. t. e. In mathematics, exponentiation is an operation involving two numbers: the base and the exponent or power. Exponentiation is written as bn, where b is the base and n is the power; this is pronounced as " b (raised) to the (power of) n ". [1]
In mathematics, taking the nth root is an operation involving two numbers, the radicand and the index or degree. Taking the nth root is written as , where x is the radicand and n is the index (also sometimes called the degree). This is pronounced as "the nth root of x". The definition then of an nth root of a number x is a number r (the root ...
For the case of roots of unity in fields of nonzero characteristic, see Finite field § Roots of unity. For the case of roots of unity in rings of modular integers, see Root of unity modulo n. Elementary properties. Every n th root of unity z is a primitive a th root of unity for some a ≤ n, which is the smallest positive integer such that z ...
The number n is called the exponent and the expression is known formally as exponentiation of b by n or the exponential of n with base b. It is more commonly expressed as "the n th power of b ", " b to the n th power" or " b to the power n ". For example, the fourth power of 10 is 10,000 because 104 = 10 × 10 × 10 × 10 = 10,000.
16 777 216: Host Used for loopback addresses to the local host: 169.254.0.0/16 169.254.0.0–169.254.255.255 65 536: Subnet Used for link-local addresses between two hosts on a single link when no IP address is otherwise specified, such as would have normally been retrieved from a DHCP server 172.16.0.0/12 172.16.0.0–172.31.255.255 1 048 576
Argand system. In mathematics, an n th-order Argand system (named after French mathematician Jean-Robert Argand) is a coordinate system constructed around the n th roots of unity. From the origin, n axes extend such that the angle between each axis and the axes immediately before and after it is 360/ n degrees. For example, the number line is ...
root of unity. An imaginary number is the product of a real number and the imaginary unit i, [note 1] which is defined by its property i2 = −1. [1] [2] The square of an imaginary number bi is −b2. For example, 5i is an imaginary number, and its square is −25. The number zero is considered to be both real and imaginary.
Bring radical. Plot of the Bring radical for real argument. In algebra, the Bring radical or ultraradical of a real number a is the unique real root of the polynomial. The Bring radical of a complex number a is either any of the five roots of the above polynomial (it is thus multi-valued ), or a specific root, which is usually chosen such that ...