An extension of Benford's law predicts the distribution of first digits in other bases besides decimal; in fact, any base b ≥ 2.The general form is = ⁡ (+) ⁡ = ⁡ (+).For b = 2, 1 (the binary and unary) number systems, Benford's law is true but trivial: All binary and unary numbers (except for 0 or the empty set) start with the digit 1.(On the other hand, the generalization of Benford's ...

Counting is the process of determining the number of elements of a finite set of objects, i.e., determining the size of a set. The traditional way of counting consists of continually increasing a (mental or spoken) counter by a unit for every element of the set, in some order, while marking (or displacing) those elements to avoid visiting the same element more than once, until no …

An N-bit ones' complement numeral system can only represent integers in the range −(2 N−1 −1) to 2 N−1 −1 while two's complement can express −2 N−1 to 2 N−1 −1. It is one of three common representations for negative integers in microprocessors , along with two's complement and sign-magnitude .

A color space is a specific organization of colors.In combination with color profiling supported by various physical devices, it supports reproducible representations of color – whether such representation entails an analog or a digital representation. A color space may be arbitrary, i.e. with physically realized colors assigned to a set of physical color swatches with corresponding …

In computing, Deflate (stylized as DEFLATE) is a lossless data compression file format that uses a combination of LZ77 and Huffman coding.It was designed by Phil Katz, for version 2 of his PKZIP archiving tool. Deflate was later specified in RFC 1951 (1996).. Katz also designed the original algorithm used to construct Deflate streams. This algorithm was patented as U.S. …

Software versioning is the process of assigning either unique version names or unique version numbers to unique states of computer software. Within a given version number category (e.g., major or minor), these numbers are generally assigned in increasing order and correspond to new developments in the software.

Arity (/ ˈ ær ɪ t i / ()) is the number of arguments or operands taken by a function, operation or relation in logic, mathematics, and computer science.In mathematics, arity may also be named rank, but this word can have many other meanings in mathematics. In logic and philosophy, it is also called adicity and degree. In linguistics, it is usually named valency.

A senary (/ ˈ s iː n ər i, ˈ s ɛ n ər i /) numeral system (also known as base-6, heximal, or seximal) has six as its base.It has been adopted independently by a small number of cultures. Like decimal, it is a semiprime, though it is unique as the product of the only two consecutive numbers that are both prime (2 and 3).As six is a superior highly composite number, many of the …

In arithmetic and algebra, the cube of a number n is its third power, that is, the result of multiplying three instances of n together. The cube of a number or any other mathematical expression is denoted by a superscript 3, for example 2 3 = 8 or (x + 1) 3.. 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 ...

Properties. The last digit of a fourth power in decimal can only be 0 (in fact 0000), 1, 5 (in fact 0625), or 6.. Every positive integer can be expressed as the sum of at most 19 fourth powers; every integer larger than 13792 can be expressed as the sum of at most 16 fourth powers (see Waring's problem).. Fermat knew that a fourth power cannot be the sum of two other fourth …

In Irish and Scottish Gaelic, the character ⁊ is used in place of the ampersand. This character is a survival of Tironian notes, a medieval shorthand system. This character is known as the Tironian Et in English, the agus in Irish, and the agusan in Scottish Gaelic.. The logical conjunction symbol, ∧, is often pronounced "and," but is not related to the ampersand.

In information technology, lossy compression or irreversible compression is the class of data compression methods that uses inexact approximations and partial data discarding to represent the content. These techniques are used to reduce data size for storing, handling, and transmitting content. The different versions of the photo of the cat on this page show how higher degrees of …

A bit array (also known as bitmask, bit map, bit set, bit string, or bit vector) is an array data structure that compactly stores bits.It can be used to implement a simple set data structure.A bit array is effective at exploiting bit-level parallelism in hardware to perform operations quickly. A typical bit array stores kw bits, where w is the number of bits in the unit of storage, such as a ...

The display resolution or display modes of a digital television, computer monitor or display device is the number of distinct pixels in each dimension that can be displayed. It can be an ambiguous term especially as the displayed resolution is controlled by different factors in cathode ray tube (CRT) displays, flat-panel displays (including liquid-crystal displays) and projection …