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The cube is also the number multiplied by its square: n 3 = n × n 2 = n × n × n. The cube function is the function x ↦ x 3 (often denoted y = x 3) that maps a number to its cube. It is an odd function, as (−n) 3 = −(n 3). The volume of a geometric cube is the cube of its side length, giving rise to the
In mathematics, the sum of two cubes is a cubed number added to another cubed number. ... The smallest taxicab number after Ta(1) = 1, is Ta(2) = 1729, [4] expressed as
Fourth powers are also formed by multiplying a number by its cube. Furthermore, they are squares of squares. Some people refer to n 4 as n tesseracted, hypercubed, zenzizenzic, biquadrate or supercubed instead of “to the power of 4”. The sequence of fourth powers of integers, known as biquadrates or tesseractic numbers, is:
Cube root of 2 1.25992 10498 94873 16476 [Mw 6] ... where f n = f n−1 ± f n−2, where the signs + or − are chosen at random with equal probability 1/2 ...
Semi-log plot of solutions of + + = for integer , , and , and .Green bands denote values of proven not to have a solution.. In the mathematics of sums of powers, it is an open problem to characterize the numbers that can be expressed as a sum of three cubes of integers, allowing both positive and negative cubes in the sum.
It is, moreover, the smallest number that can be represented as a sum of any number of distinct positive cubes in more than one way. [2] It is a highly powerful number : the product 3 × 3 {\displaystyle 3\times 3} of the exponents in its prime factorization 216 = 2 3 × 3 3 {\displaystyle 216=2^{3}\times 3^{3}} is larger than the product of ...
The cubic inch and the cubic foot are used as units of volume in the United States, although the common SI units of volume, the liter, milliliter, and cubic meter, are also used, especially in manufacturing and high technology. One cubic inch is exactly 16.387 064 mL. One cubic foot is equal to exactly 1,728 cubic inches (28.32 L), as 12 3 = 1728.
may mean that A is a subset of B, and is possibly equal to B; that is, every element of A belongs to B; expressed as a formula, ,. 2. A ⊂ B {\displaystyle A\subset B} may mean that A is a proper subset of B , that is the two sets are different, and every element of A belongs to B ; expressed as a formula, A ≠ B ∧ ∀ x , x ∈ A ⇒ x ∈ ...