Downhill creepDownhill creep, also known as soil creep or commonly just creep, is a type of creep characterized by the slow, downward progression of rock and soil down a low grade slope; it can also refer to slow deformation of such materials as a result of prolonged pressure and stress. Creep may appear to an observer to be continuous, but it really is the sum of numerous minute, discrete movements of slope material caused by the force of gravity.
Ample line bundleIn mathematics, a distinctive feature of algebraic geometry is that some line bundles on a projective variety can be considered "positive", while others are "negative" (or a mixture of the two). The most important notion of positivity is that of an ample line bundle, although there are several related classes of line bundles. Roughly speaking, positivity properties of a line bundle are related to having many global sections. Understanding the ample line bundles on a given variety X amounts to understanding the different ways of mapping X into projective space.
Coherent sheaf cohomologyIn mathematics, especially in algebraic geometry and the theory of complex manifolds, coherent sheaf cohomology is a technique for producing functions with specified properties. Many geometric questions can be formulated as questions about the existence of sections of line bundles or of more general coherent sheaves; such sections can be viewed as generalized functions. Cohomology provides computable tools for producing sections, or explaining why they do not exist. It also provides invariants to distinguish one algebraic variety from another.
CiliciaCilicia (sɪˈlɪʃə) is a geographical region in southern Anatolia, extending inland from the northeastern coasts of the Mediterranean Sea. Cilicia has a population ranging over six million, concentrated mostly at the Cilicia plain. The region includes the provinces of Mersin, Adana, Osmaniye and Hatay. Cilicia extends along the Mediterranean coast east from Pamphylia to the Nur Mountains, which separates it from Syria.
Cartographic generalizationCartographic generalization, or map generalization, includes all changes in a map that are made when one derives a smaller-scale map from a larger-scale map or map data. It is a core part of cartographic design. Whether done manually by a cartographer or by a computer or set of algorithms, generalization seeks to abstract spatial information at a high level of detail to information that can be rendered on a map at a lower level of detail.
Swiss mercenariesThe Swiss mercenaries (Reisläufer) were a powerful infantry force constituted by professional soldiers originating from the cantons of the Old Swiss Confederacy. They were notable for their service in foreign armies, especially among the military forces of the Kings of France, throughout the Early Modern period of European history, from the Late Middle Ages into the Renaissance. Their service as mercenaries was at its peak during the Renaissance, when their proven battlefield capabilities made them sought-after mercenary troops.
Aftermath of World War IThe aftermath of World War I saw cultural, economic, and social change across Eurasia, Africa, and even in areas outside those that were directly involved. Four empires collapsed due to the war, old countries were abolished, new ones were formed, boundaries were redrawn, international organizations were established, and many new and old ideologies took a firm hold in people's minds.
TurkeyTurkey (Türkiye, ˈtyɾcije), officially the Republic of Türkiye (Türkiye Cumhuriyeti ˈtyɾcije dʒumˈhuːɾijeti), is a country located mainly on the Anatolian Peninsula in West Asia, with a small portion on the Balkan Peninsula in Southeast Europe. It borders the Black Sea to the north; Georgia to the northeast; Armenia, Azerbaijan, and Iran to the east; Iraq to the southeast; Syria and the Mediterranean Sea to the south; the Aegean Sea to the west; and Greece and Bulgaria to the northwest. Cyprus is off the south coast.
Cartographic designCartographic design or map design is the process of crafting the appearance of a map, applying the principles of design and knowledge of how maps are used to create a map that has both aesthetic appeal and practical function. It shares this dual goal with almost all forms of design; it also shares with other design, especially graphic design, the three skill sets of artistic talent, scientific reasoning, and technology. As a discipline, it integrates design, geography, and geographic information science.
Coherent dualityIn mathematics, coherent duality is any of a number of generalisations of Serre duality, applying to coherent sheaves, in algebraic geometry and complex manifold theory, as well as some aspects of commutative algebra that are part of the 'local' theory. The historical roots of the theory lie in the idea of the adjoint linear system of a linear system of divisors in classical algebraic geometry. This was re-expressed, with the advent of sheaf theory, in a way that made an analogy with Poincaré duality more apparent.