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Prime (other)
A prime is a natural number that has exactly two distinct natural number divisors: 1 and itself. Prime or PRIME may also refer to: Arts, entertainment, and media Fictional characters * Prime (comics), a comic book character * Dyson Aliens or The Primes, aliens in Peter Hamilton's ''Commonwealth Saga'' Music * Prime (music) * Prime Boys, Canadian hip hop collective * Prime (percussion), to lightly strike an instrument such as a gong in preparation for playing * Prime form (music) * Unison, an interval also called a ''prime'' Television channels * Prime (Canadian TV channel) or DTour * Prime (Moldovan TV channel) * Prime (New Zealand TV channel) * Prime TV (Sri Lanka) * AFN Prime, part of the American Forces Network * BBC Prime, a television channel in Europe and the Middle East * Prime Media Group, an Australian media corporation * Prime Network, a defunct cable sports network in the United States * Prime Televisie, a Flemish pay television channel * Prime7, a television ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Prime
A 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, or , involve 5 itself. However, 4 is composite because it is a product (2 × 2) in which both numbers are smaller than 4. Primes are central in number theory because of the fundamental theorem of arithmetic: every natural number greater than 1 is either a prime itself or can be factorized as a product of primes that is unique up to their order. The property of being prime is called primality. A simple but slow method of checking the primality of a given number n, called trial division, tests whether n is a multiple of any integer between 2 and \sqrt. Faster algorithms include the Miller–Rabin primality test, which is fast but has a small chance of error, and the AKS primality test, which always pr ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Prime7
Prime7, formerly Prime Television and other names, was an Australian television network. Prime Television launched on 17 March 1962 as '' CBN-8'' in Orange, and later expanded to cover regional New South Wales, Victoria and the Australian Capital Territory. It was initially an independent affiliate owned by Prime Media Group before the network, and its sister GWN7, were acquired by Seven West Media on 31 December 2021. Prime7 along with GWN7 national broadcast facilities were based in Canberra, with playout facilities (since 2021) shared with hybrid-funded broadcaster SBS Television at a facility operated by Australian telecommunications provider Telstra. Seven West Media head office/administration is located in Pyrmont, Sydney. History Origins Prime Television originally began as a group of separate stations and networks – Midstate Television in Orange, Dubbo and Griffith; RVN/AMV in Wagga Wagga and Albury; and 9-8 Television in Tamworth and Taree. CBN-8 Orange first ai ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Prime Element
In mathematics, specifically in abstract algebra, a prime element of a commutative ring is an object satisfying certain properties similar to the prime numbers in the integers and to irreducible polynomials. Care should be taken to distinguish prime elements from irreducible elements, a concept which is the same in UFDs but not the same in general. Definition An element of a commutative ring is said to be prime if it is not the zero element or a unit and whenever divides for some and in , then divides or divides . With this definition, Euclid's lemma is the assertion that prime numbers are prime elements in the ring of integers. Equivalently, an element is prime if, and only if, the principal ideal generated by is a nonzero prime ideal. (Note that in an integral domain, the ideal is a prime ideal, but is an exception in the definition of 'prime element'.) Interest in prime elements comes from the fundamental theorem of arithmetic, which asserts that each nonzero in ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Prime 3-manifold
In mathematics, the prime decomposition theorem for 3-manifolds states that every compact, orientable 3-manifold is the connected sum of a unique (up to homeomorphism) finite collection of prime 3-manifolds. A manifold is ''prime'' if it cannot be presented as a connected sum of more than one manifold, none of which is the sphere of the same dimension. This condition is necessary since for any manifold M of dimension n it is true that M = M \# S^n. (where M \# S^n means the connected sum of M and S^n). If P is a prime 3-manifold then either it is S^2 \times S^1 or the non-orientable S^2 bundle over S^1, or it is irreducible, which means that any embedded 2-sphere bounds a ball. So the theorem can be restated to say that there is a unique connected sum decomposition into irreducible 3-manifolds and fiber bundles of S^2 over S^1. The prime decomposition holds also for non-orientable 3-manifolds, but the uniqueness statement must be modified slightly: every compact, non-orientable ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Prime (order Theory)
In mathematics, an element ''p'' of a partial order (P, ≤) is a meet prime element when ''p'' is the principal element of a principal prime ideal. Equivalently, if ''P'' is a lattice, ''p'' ≠ ''top'', and for all ''a'', ''b'' in ''P'', :''a''∧''b'' ≤ ''p'' implies ''a'' ≤ ''p'' or ''b'' ≤ ''p''. See also * Join and meet In mathematics, specifically order theory, the join of a subset S of a partially ordered set P is the supremum (least upper bound) of S, denoted \bigvee S, and similarly, the meet of S is the infimum (greatest lower bound), denoted \bigwedge S. I ... References *. Order theory {{algebra-stub ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Prime Rate
A prime rate or prime lending rate is an interest rate used by banks, usually the interest rate at which banks lend to customers with good credit. Some variable interest rates may be expressed as a percentage above or below prime rate. Use in different banking systems United States and Canada Historically, in North American banking, the prime rate was the actual interest rate, although this is no longer the case. The prime rate varies little among banks and adjustments are generally made by banks at the same time, although this does not happen frequently. the prime rate is 6.25% in the United States and 5.45% in Canada. In the United States, the prime rate runs approximately 300 basis points (or 3 percentage points) above the federal funds rate, which is the interest rate that banks charge each other for overnight loans made to fulfill reserve funding requirements. The Federal funds rate plus a much smaller increment is frequently used for lending to the most creditworthy bor ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Prime (finance)
In finance, subprime lending (also referred to as near-prime, subpar, non-prime, and second-chance lending) is the provision of loans to people in the United States who may have difficulty maintaining the repayment schedule. Historically, subprime borrowers were defined as having FICO scores below 600, although this threshold has varied over time. These loans are characterized by higher interest rates, poor quality collateral, and less favorable terms in order to compensate for higher credit risk. Many subprime loans were packaged into mortgage-backed securities (MBS) and ultimately defaulted, contributing to the financial crisis of 2007–2008.Lemke, Lins and Picard, ''Mortgage-Backed Securities'', Chapter 3 (Thomson West, 2013 ed.). Defining subprime risk The term ''subprime'' refers to the credit quality of particular borrowers, who have weakened credit histories and a greater risk of loan default than prime borrowers. As people become economically active, records are cre ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
