Social mobilitySocial mobility is the movement of individuals, families, households or other categories of people within or between social strata in a society. It is a change in social status relative to one's current social location within a given society. This movement occurs between layers or tiers in an open system of social stratification. Open stratification systems are those in which at least some value is given to achieved status characteristics in a society. The movement can be in a downward or upward direction.
Transformation matrixIn linear algebra, linear transformations can be represented by matrices. If is a linear transformation mapping to and is a column vector with entries, then for some matrix , called the transformation matrix of . Note that has rows and columns, whereas the transformation is from to . There are alternative expressions of transformation matrices involving row vectors that are preferred by some authors. Matrices allow arbitrary linear transformations to be displayed in a consistent format, suitable for computation.
Geometric transformationIn mathematics, a geometric transformation is any bijection of a set to itself (or to another such set) with some salient geometrical underpinning. More specifically, it is a function whose domain and range are sets of points — most often both or both — such that the function is bijective so that its inverse exists. The study of geometry may be approached by the study of these transformations. Geometric transformations can be classified by the dimension of their operand sets (thus distinguishing between, say, planar transformations and spatial transformations).
TransportTransport (in British English) or transportation (in American English) is the intentional movement of humans, animals, and goods from one location to another. Modes of transport include air, land (rail and road), water, cable, pipelines, and space. The field can be divided into infrastructure, vehicles, and operations. Transport enables human trade, which is essential for the development of civilizations.
CévennesThe Cévennes (seɪˈvɛn , sevɛn; Cevenas) is a cultural region and range of mountains in south-central France, on the south-east edge of the Massif Central. It covers parts of the départements of Ardèche, Gard, Hérault and Lozère. Rich in geographical, natural, and cultural significance, portions of the region are protected within the Cévennes National Park, the Cévennes Biosphere Reserve (UNESCO), as well as a UNESCO World Heritage Site: Causses and the Cévennes, Mediterranean agro-pastoral Cultural Landscape.
Free public transportFree public transport, often called fare-free public transit or zero-fare public transport, refers to public transport funded in full by means other than by collecting fares from passengers. It may be funded by national, regional or local government through taxation, or by commercial sponsorship by businesses. Alternatively, the concept of "free-ness" may take other forms, such as no-fare access via a card which may or may not be paid for in its entirety by the user.
Hundred Years' WarThe Hundred Years' War (La guerre de Cent Ans; Dgère d'Un Chint An; 1337–1453) was a series of armed conflicts fought between the kingdoms of England and France during the Late Middle Ages. It originated from English claims to the French throne. The war grew into a broader power struggle involving factions from across Western Europe, fueled by emerging nationalism on both sides. The Hundred Years' War was a significant conflict in the Middle Ages.
Treaty of LausanneThe Treaty of Lausanne (Traité de Lausanne, Lozan Antlaşması) is a peace treaty negotiated during the Lausanne Conference of 1922–23 and signed in the Palais de Rumine, Lausanne, Switzerland, on 24 July 1923. The treaty officially settled the conflict that had originally existed between the Ottoman Empire and the Allied French Republic, British Empire, Kingdom of Italy, Empire of Japan, Kingdom of Greece, Kingdom of Serbia, and the Kingdom of Romania since the onset of World War I. The original text of the treaty is in French.
Economic mobilityEconomic mobility is the ability of an individual, family or some other group to improve (or lower) their economic status—usually measured in income. Economic mobility is often measured by movement between income quintiles. Economic mobility may be considered a type of social mobility, which is often measured in change in income. There are many different ideas in the literature as to what constitutes a good mathematical measure of mobility, each with their own advantages and drawbacks.
Thirty Years' WarThe Thirty Years' War was one of the longest and most destructive conflicts in European history, lasting from 1618 to 1648. Fought primarily in Central Europe, an estimated 4.5 to 8 million soldiers and civilians died as a result of battle, famine, and disease, while some areas of what is now modern Germany experienced population declines of over 50%. Related conflicts include the Eighty Years' War, the War of the Mantuan Succession, the Franco-Spanish War, the Dutch-Portuguese War and the Portuguese Restoration War.
Transformation (function)In mathematics, a transformation is a function f, usually with some geometrical underpinning, that maps a set X to itself, i.e. f: X → X. Examples include linear transformations of vector spaces and geometric transformations, which include projective transformations, affine transformations, and specific affine transformations, such as rotations, reflections and translations.
