Prime minister

A prime minister is the most senior minister of cabinet in the executive branch of government, often in a parliamentary or semi-presidential system. In many systems, the prime minister selects and may dismiss other members of the cabinet, and allocates posts to members within the government. In most systems, the prime minister is the presiding member and chairman of the cabinet. In a minority of systems, notably in semi-presidential systems of government, a prime minister is the official who is appointed to manage the civil service and execute the directives of the head of state.

In parliamentary systems fashioned after the Westminster system, the prime minister is the presiding and actual head of government and head of the executive branch. In such systems, the head of state or the head of state's official representative (i.e. the monarch, president, or governor-general) usually holds a largely ceremonial position, although often with reserve powers.

The prime minister is often, but not always, a member of parliament and is expected with other ministers to ensure the passage of bills through the legislature. In some monarchies the monarch may also exercise executive powers (known as the royal prerogative) that are constitutionally vested in the crown and may be exercised without the approval of parliament.

Prime number

A prime number (or a prime) is a natural number greater than 1 that has no positive divisors other than 1 and itself. A natural number greater than 1 that is not a prime number is called a composite number. For example, 5 is prime because 1 and 5 are its only positive integer factors, whereas 6 is composite because it has the divisors 2 and 3 in addition to 1 and 6. The fundamental theorem of arithmetic establishes the central role of primes in number theory: any integer greater than 1 can be expressed as a product of primes that is unique up to ordering. The uniqueness in this theorem requires excluding 1 as a prime because one can include arbitrarily many instances of 1 in any factorization, e.g., 3, 1 · 3, 1 · 1 · 3, etc. are all valid factorizations of 3.

The property of being prime (or not) is called primality. A simple but slow method of verifying the primality of a given number n is known as trial division. It consists of testing whether n is a multiple of any integer between 2 and . Algorithms much more efficient than trial division have been devised to test the primality of large numbers. These include the Miller–Rabin primality test, which is fast but has a small probability of error, and the AKS primality test, which always produces the correct answer in polynomial time but is too slow to be practical. Particularly fast methods are available for numbers of special forms, such as Mersenne numbers. As of January 2016, the largest known prime number has 22,338,618 decimal digits.

Prime (liturgy)

Prime, or the First Hour, is a fixed time of prayer of the traditional Divine Office (Canonical Hours), said at the first hour of daylight (approximately 7:00 a.m.), between the morning Hour of Lauds and the 9 a.m. Hour of Terce. It is part of the Christian liturgies of Eastern Christianity, but in the Latin Rite it was suppressed by the liturgical reforms following the Second Vatican Council. However, clergy who have an obligation to celebrate the Liturgy of the Hours may still fulfil their obligation by using the Roman Breviary promulgated by Pope John XXIII in 1962, which contains the Hour of Prime. Like all the liturgical hours, except the Office of Readings, it consists primarily of Psalms. It is one of the Little Hours.

Name

The word "Prime" comes from Latin and refers to the first hour of daylight (i.e., dawn). Originally, in the West, Prime was called matitutina (hora), "morning hour". Later, in order to distinguish it from the nocturnal offices of Matins and Lauds, and to include it among hours of the day, it was called prima. The name is first met with in the Rule of St. Benedict. In the Antiphonary of Bangor it is called secunda.

Prime (film)

Prime is a 2005 American romantic comedy film starring Uma Thurman, Meryl Streep and Bryan Greenberg. It was written and directed by Ben Younger. The film grossed $67,937,503 worldwide.

Plot

Rafi (Uma Thurman) is a recently divorced, 37-year-old career woman from Manhattan who becomes romantically involved with David (Bryan Greenberg), a talented 23-year-old Jewish painter from the Upper West Side. Rafi shares all her secrets with her therapist Lisa (Meryl Streep) who, unbeknownst to Rafi, is David's mother. Lisa, supportive of Rafi's relationship with a younger man, discovers the connection and finds herself not only faced with the ethical and moral dilemma of counseling David's girlfriend, but also the reality that she feels differently about the relationship now that she knows her son is involved. Lisa consults her own therapist, and they decide that it is in the best interest of her patient Rafi for Lisa to continue treatment, as long as the relationship remains the "fling" it appears to be.

Flight dynamics

Flight dynamics is the study of the performance, stability, and control of vehicles flying through the air or in outer space. It is concerned with how forces acting on the vehicle influence its speed and attitude with respect to time.

In fixed-wing aircraft, the changing orientation of the vehicle with respect to the local air flow is represented by two critical parameters, angle of attack ("alpha") and angle of sideslip ("beta"). These angles describe the vector direction of airspeed, important because it is the principal source of modulations in the aerodynamic forces and moments applied to the aircraft.

Spacecraft flight dynamics involve three forces: propulsive (rocket engine), gravitational, and lift and drag (when traveling through the earths or any other celestial atmosphere). Because aerodynamic forces involved with spacecraft flight are very small, this leaves gravity as the dominant force.

Aircraft and spacecraft share a critical interest in their orientation with respect to the earth horizon and heading, and this is represented by another set of angles, "yaw," "pitch" and "roll" which angles match their colloquial meaning, but also have formal definition as an Euler sequence. These angles are the product of the rotational equations of motion, where orientation responds to torque, just as the velocity of a vehicle responds to forces. For all flight vehicles, these two sets of dynamics, rotational and translational, operate simultaneously and in a coupled fashion to evolve the vehicle's state (orientation and velocity) trajectory.

List auf Sylt

List auf Sylt (known as List until 31 December 2008) is the northernmost municipality in Germany, located on the North Sea island of Sylt close to Denmark in the district of Nordfriesland in the state of Schleswig-Holstein.

Etymology

List derived from the Middle Low German Liste (ledge, bar or edge).

History

List was originally a Danish settlement. It was first mentioned in 1292 (Lystum). The original village was destroyed by the great flood of 1364. The settlement was rebuilt further east from the previous location. In the mid-15th century, a church named St. Jürgen was mentioned. In a treaty of 1460, Schleswig and Holstein were linked to the Danish crown, but List remained part of the royal enclaves, small areas of the Kingdom of Denmark situated within the Duchy of Schleswig, but directly controlled by the Danish king.

From the 16th century, the people of List mostly made a living from Oyster farming, raising sheep and collecting and selling gull eggs. At the time, List was an important protective anchorage. In 1644, a Swedish-Dutch fleet of 26 ships commanded by Admiral Thijssen was attacked in the Lister Tief and defeated by Danish ships commanded by king Christian IV of Denmark. The anchorage north of today's town was named Königshafen to honour this event.

List (abstract data type)

In computer science, a list or sequence is an abstract data type that represents an ordered sequence of values, where the same value may occur more than once. An instance of a list is a computer representation of the mathematical concept of a finite sequence; the (potentially) infinite analog of a list is a stream. Lists are a basic example of containers, as they contain other values. If the same value occurs multiple times, each occurrence is considered a distinct item.

The name list is also used for several concrete data structures that can be used to implement abstract lists, especially linked lists.

Many programming languages provide support for list data types, and have special syntax and semantics for lists and list operations. A list can often be constructed by writing the items in sequence, separated by commas, semicolons, or spaces, within a pair of delimiters such as parentheses '()', brackets '[]', braces '{}', or angle brackets '<>'. Some languages may allow list types to be indexed or sliced like array types, in which case the data type is more accurately described as an array. In object-oriented programming languages, lists are usually provided as instances of subclasses of a generic "list" class, and traversed via separate iterators. List data types are often implemented using array data structures or linked lists of some sort, but other data structures may be more appropriate for some applications. In some contexts, such as in Lisp programming, the term list may refer specifically to a linked list rather than an array.