Video game consoleA video game console is an electronic device that outputs a video signal or image to display a video game that can be played with a game controller. These may be home consoles, which are generally placed in a permanent location connected to a television or other display devices and controlled with a separate game controller, or handheld consoles, which include their own display unit and controller functions built into the unit and which can be played anywhere. Hybrid consoles combine elements of both home and handheld consoles.
Handheld game consoleA handheld game console, or simply handheld console, is a small, portable self-contained video game console with a built-in screen, game controls and speakers. Handheld game consoles are smaller than home video game consoles and contain the console, screen, speakers, and controls in one unit, allowing people to carry them and play them at any time or place. In 1976, Mattel introduced the first handheld electronic game with the release of Auto Race.
Sixth generation of video game consolesIn the history of video games, the sixth generation era (sometimes called the 128-bit era; see "bits and system power" below) is the era of computer and video games, video game consoles, and handheld gaming devices available at the turn of the 21st century, starting on November 27, 1998. Platforms in the sixth generation include consoles from four companies: the Sega Dreamcast (DC), Sony PlayStation 2 (PS2), Nintendo GameCube (GC), and Microsoft Xbox.
Nintendo video game consolesThe Japanese multinational consumer electronics company Nintendo has developed seven home video game consoles and multiple portable consoles for use with external media, as well as dedicated consoles and other hardware for their consoles. , in addition to Nintendo Switch, Nintendo has sold over 863.07 million hardware units. The company's first console, the Color TV-Game, was a success in Japan but was never released outside of Japan.
Seventh generation of video game consolesThe seventh generation of home video game consoles began on November 22, 2005, with the release of Microsoft's Xbox 360 home console. This was followed by the release of Sony's PlayStation 3 on November 17, 2006, and Nintendo's Wii on November 19, 2006. Each new console introduced new technologies. The Xbox 360 offered games rendered natively at high-definition video (HD) resolutions, the PlayStation 3 offered HD movie playback via a built-in 3D Blu-ray Disc player, and the Wii focused on integrating controllers with movement sensors as well as joysticks.
Elliptic-curve cryptographyElliptic-curve cryptography (ECC) is an approach to public-key cryptography based on the algebraic structure of elliptic curves over finite fields. ECC allows smaller keys compared to non-EC cryptography (based on plain Galois fields) to provide equivalent security. Elliptic curves are applicable for key agreement, digital signatures, pseudo-random generators and other tasks. Indirectly, they can be used for encryption by combining the key agreement with a symmetric encryption scheme.
PlayStation (console)The PlayStation (abbreviated as PS, commonly known as the PS1/PS one or its codename PSX) is a home video game console developed and marketed by Sony Computer Entertainment. It was released in Japan on 3 December 1994, in North America on 9 September 1995, in Europe on 29 September 1995, and in Australia on 15 November 1995. As a fifth-generation console, the PlayStation primarily competed with the Nintendo 64 and the Sega Saturn.
Finite fieldIn mathematics, a finite field or Galois field (so-named in honor of Évariste Galois) is a field that contains a finite number of elements. As with any field, a finite field is a set on which the operations of multiplication, addition, subtraction and division are defined and satisfy certain basic rules. The most common examples of finite fields are given by the integers mod p when p is a prime number. The order of a finite field is its number of elements, which is either a prime number or a prime power.
Prime numberA prime number (or a prime) is a natural number greater than 1 that is not a product of two smaller natural numbers. A natural number greater than 1 that is not prime is called a composite number. For example, 5 is prime because the only ways of writing it as a product, 1 × 5 or 5 × 1, involve 5 itself. However, 4 is composite because it is a product (2 × 2) in which both numbers are smaller than 4.
First generation of video game consolesIn the history of video games, the first generation era refers to the video games, video game consoles, and handheld video game consoles available from 1972 to 1983. Notable consoles of the first generation include the Odyssey series (excluding the Magnavox Odyssey 2), the Atari Home Pong, the Coleco Telstar series and the Color TV-Game series. The generation ended with the Computer TV-Game in 1980, but many manufacturers had left the market prior due to the market decline in the year of 1977 and the start of the second generation of video game consoles.
PlayStationis a video gaming brand that consists of five home video game consoles, two handhelds, a media center, and a smartphone, as well as an online service and multiple magazines. The brand is produced by Sony Interactive Entertainment, a division of Sony; the first PlayStation console was released in Japan in December 1994, and worldwide the following year. The original console in the series was the first console of any type to ship over 100 million units, doing so in under a decade.
Cell (processor)Cell is a 64-bit multi-core microprocessor microarchitecture that combines a general-purpose PowerPC core of modest performance with streamlined coprocessing elements which greatly accelerate multimedia and vector processing applications, as well as many other forms of dedicated computation. It was developed by Sony, Toshiba, and IBM, an alliance known as "STI". The architectural design and first implementation were carried out at the STI Design Center in Austin, Texas over a four-year period beginning March 2001 on a budget reported by Sony as approaching US$400 million.
Fourth generation of video game consolesIn the history of video games, the fourth generation of video game consoles, more commonly referred to as the 16-bit era, began on October 30, 1987, with the Japanese release of NEC Home Electronics' PC Engine (known as the TurboGrafx-16 in North America). Though NEC released the first console of this era, sales were mostly dominated by the rivalry between Sega and Nintendo across most markets: the Sega Mega Drive (Sega Genesis in North America) and the Super Nintendo Entertainment System (SNES; Super Famicom in Japan).
Quadratic fieldIn algebraic number theory, a quadratic field is an algebraic number field of degree two over , the rational numbers. Every such quadratic field is some where is a (uniquely defined) square-free integer different from and . If , the corresponding quadratic field is called a real quadratic field, and, if , it is called an imaginary quadratic field or a complex quadratic field, corresponding to whether or not it is a subfield of the field of the real numbers.
Regular primeIn number theory, a regular prime is a special kind of prime number, defined by Ernst Kummer in 1850 to prove certain cases of Fermat's Last Theorem. Regular primes may be defined via the divisibility of either class numbers or of Bernoulli numbers. The first few regular odd primes are: 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 41, 43, 47, 53, 61, 71, 73, 79, 83, 89, 97, 107, 109, 113, 127, 137, 139, 151, 163, 167, 173, 179, 181, 191, 193, 197, 199, ... . In 1850, Kummer proved that Fermat's Last Theorem is true for a prime exponent p if p is regular.
Elliptic curveIn mathematics, an elliptic curve is a smooth, projective, algebraic curve of genus one, on which there is a specified point O. An elliptic curve is defined over a field K and describes points in K^2, the Cartesian product of K with itself. If the field's characteristic is different from 2 and 3, then the curve can be described as a plane algebraic curve which consists of solutions (x, y) for: for some coefficients a and b in K. The curve is required to be non-singular, which means that the curve has no cusps or self-intersections.
Splitting of prime ideals in Galois extensionsIn mathematics, the interplay between the Galois group G of a Galois extension L of a number field K, and the way the prime ideals P of the ring of integers OK factorise as products of prime ideals of OL, provides one of the richest parts of algebraic number theory. The splitting of prime ideals in Galois extensions is sometimes attributed to David Hilbert by calling it Hilbert theory. There is a geometric analogue, for ramified coverings of Riemann surfaces, which is simpler in that only one kind of subgroup of G need be considered, rather than two.
Characteristic (algebra)In mathematics, the characteristic of a ring R, often denoted char(R), is defined to be the smallest number of times one must use the ring's multiplicative identity (1) in a sum to get the additive identity (0). If this sum never reaches the additive identity the ring is said to have characteristic zero. That is, char(R) is the smallest positive number n such that: if such a number n exists, and 0 otherwise.
Processor (computing)In computing and computer science, a processor or processing unit is an electrical component (digital circuit) that performs operations on an external data source, usually memory or some other data stream. It typically takes the form of a microprocessor, which can be implemented on a single metal–oxide–semiconductor integrated circuit chip. In the past, processors were constructed using multiple individual vacuum tubes, multiple individual transistors, or multiple integrated circuits. Today, processors use built-in transistors.
Multi-core processorA multi-core processor is a microprocessor on a single integrated circuit with two or more separate processing units, called cores, each of which reads and executes program instructions. The instructions are ordinary CPU instructions (such as add, move data, and branch) but the single processor can run instructions on separate cores at the same time, increasing overall speed for programs that support multithreading or other parallel computing techniques.
