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Analogously, the inverses of tetration are often called the super-root, and the super-logarithm (In fact, all hyperoperations greater than or equal to 3 have analogous inverses); e.g., in the function =, the two inverses are the cube super-root of y and the super-logarithm base y of x.
The new text would read: "In mathematics, a cube root of a number, denoted or x 1/3, is a number a such that a 3 = x. All real numbers have exactly one real cube root and 2 complex roots, and all nonzero complex numbers have 3 distinct complex cube roots." DRE 18:01, 20 February 2007 (UTC) Sounds good.
Rectangles of area 6, including 2x3 and 3x2 (solid black), and a square of side geometric mean of 2 and 3, or square root of 6 (red dashed); plus a square of side arithmetic mean of 2 and 3 (black dotted) with area 6.25 Distances between vertices of a double unit cube are square roots of the first six natural numbers, including the square root ...
Expected fraction of seats won, s vs fraction of votes received, v (solid black) according to the cube rule, with a plot of the seat:vote ratio (dashed red) The cube rule or cube law is an empirical observation regarding elections under the first-past-the-post system. The rule suggests that the party getting the most votes is over-represented ...
The cube roots of unity. ... It follows from the discussion in the previous section that this is a primitive n th-root if and only if the fraction ...
A related question is whether it can be expressed using cube roots. The following two approaches can be used, but both result in an expression that involves the cube root of a complex number . Using the triple-angle identity, we can identify sin ( 1 ∘ ) {\displaystyle \sin(1^{\circ })} as a root of a cubic polynomial: sin ( 3 ∘ ...
The real numbers include the rational numbers, such as the integer −5 and the fraction 4 / 3. The rest of the real numbers are called irrational numbers. Some irrational numbers (as well as all the rationals) are the root of a polynomial with integer coefficients, such as the square root √2 = 1.414...; these are called algebraic numbers.
The n th roots of unity allow expressing all n th roots of a complex number z as the n products of a given n th roots of z with a n th root of unity. Geometrically, the n th roots of unity lie on the unit circle of the complex plane at the vertices of a regular n -gon with one vertex on the real number 1.
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