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In number theory, a pentatope number is a number in the fifth cell of any row of Pascal's triangle starting with the 5-term row 1 4 6 4 1, either from left to right or from right to left. It is named because it represents the number of 3-dimensional unit spheres which can be packed into a pentatope (a 4-dimensional tetrahedron ) of increasing ...
A numeric keypad, number pad, numpad, or ten key, [1] [2] [3] is the palm-sized, usually-17-key section of a standard computer keyboard, usually on the far right. It provides calculator -style efficiency for entering numbers.
This number pad (commonly abbreviated to numpad) is usually positioned on the right side of the keyboard because most people are right-handed. Many laptop computers have special function keys that turn part of the alphabetical keyboard into a numerical keypad as there is insufficient space to allow a separate keypad to be built into the laptop ...
The transformations of the 15 puzzle form a groupoid (not a group, as not all moves can be composed); [12] [13] [14] this groupoid acts on configurations.. Because the combinations of the 15 puzzle can be generated by 3-cycles, it can be proved that the 15 puzzle can be represented by the alternating group. [15]
This is the minimum number of characters needed to encode a 32 bit number into 5 printable characters in a process similar to MIME-64 encoding, since 85 5 is only slightly bigger than 2 32. Such method is 6.7% more efficient than MIME-64 which encodes a 24 bit number into 4 printable characters.
Such a number is algebraic and can be expressed as the sum of a rational number and the square root of a rational number. Constructible number: A number representing a length that can be constructed using a compass and straightedge. Constructible numbers form a subfield of the field of algebraic numbers, and include the quadratic surds.
To be clear for those playing along at home, while the canonical formuations are 1 m by 3 m by 6 m and 1 m x 3 m x 6 m, MOS currently makes an exception allowing 1 by 3 by 6 m (specifically in the case where all the quantities are in the same unit -- in this case metres), but no corresponding exception allowing 1 x 3 x 6 m. While it may offend ...
The number of Farey fractions with denominators equal to k in F n is given by φ(k) when k ≤ n and zero otherwise. Concerning the numerators one can define the function () that returns the number of Farey fractions with numerators equal to h in F n. This function has some interesting properties as [7]