Euclidean algorithmIn mathematics, the Euclidean algorithm, or Euclid's algorithm, is an efficient method for computing the greatest common divisor (GCD) of two integers (numbers), the largest number that divides them both without a remainder. It is named after the ancient Greek mathematician Euclid, who first described it in his Elements (300 BC). It is an example of an algorithm, a step-by-step procedure for performing a calculation according to well-defined rules, and is one of the oldest algorithms in common use.
Random matrixIn probability theory and mathematical physics, a random matrix is a matrix-valued random variable—that is, a matrix in which some or all elements are random variables. Many important properties of physical systems can be represented mathematically as matrix problems. For example, the thermal conductivity of a lattice can be computed from the dynamical matrix of the particle-particle interactions within the lattice. In nuclear physics, random matrices were introduced by Eugene Wigner to model the nuclei of heavy atoms.
IterationIteration is the repetition of a process in order to generate a (possibly unbounded) sequence of outcomes. Each repetition of the process is a single iteration, and the outcome of each iteration is then the starting point of the next iteration. In mathematics and computer science, iteration (along with the related technique of recursion) is a standard element of algorithms. In mathematics, iteration may refer to the process of iterating a function, i.e. applying a function repeatedly, using the output from one iteration as the input to the next.
Prime Minister of RomaniaThe prime minister of Romania (Prim-ministrul României), officially the prime minister of the Government of Romania (Prim-ministrul Guvernului României), is the head of the Government of Romania. Initially, the office was styled President of the Council of Ministers (Președintele Consiliului de Miniștri), when the term "Government" included more than the Cabinet, and the Cabinet was called the Council of Ministers (Consiliul de Miniștri). The title was officially changed to Prime Minister by the 1965 Constitution of Romania during the communist regime.
Row equivalenceIn linear algebra, two matrices are row equivalent if one can be changed to the other by a sequence of elementary row operations. Alternatively, two m × n matrices are row equivalent if and only if they have the same row space. The concept is most commonly applied to matrices that represent systems of linear equations, in which case two matrices of the same size are row equivalent if and only if the corresponding homogeneous systems have the same set of solutions, or equivalently the matrices have the same null space.
Prime Minister of CanadaThe prime minister of Canada (premier ministre du Canada) is the head of government of Canada. Not outlined in any constitutional document, the office exists only per long-established convention. Under the Westminster system, the prime minister governs with the confidence of a majority of the elected House of Commons; as such, the prime minister typically sits as a member of Parliament (MP) and leads the largest party or a coalition of parties.
Prime Minister of PakistanThe prime minister of Pakistan (, romanized: Wazīr ē Aʿẓam Grand Vizier, ʋəˈziːr-ˌeː ˈɑː.zəm) is the head of government of the Islamic Republic of Pakistan. Executive authority is vested in the prime minister and his chosen cabinet, despite the president of Pakistan serving as the nominal head of executive. The prime minister is often the leader of the party or the coalition with a majority in the lower house of the Parliament of Pakistan, the National Assembly where he serves as Leader of the House.
