Regimealign|right|Highlighted world map by country| Map of V-Dem's 2022 Regimes of the World (RoW) |scale = 80|CA=lightblue|US=darkblue|MX=lightblue|GB=darkblue|IS=darkblue|NO=darkblue|SE=darkblue|FI=darkblue|EE=darkblue|LV=darkblue|LT=lightblue|PL=lightblue|DE=darkblue|DK=darkblue|NL=darkblue|BE=darkblue|FR=darkblue|ES=darkblue|PT=lightblue|IT=darkblue|CH=darkblue|IE=darkblue|GL=black|CZ=darkblue|SK=darkblue|RU=orange|BY=orange|UA=orange|RO=lightblue|AT=lightblue|GR=lightblue|TR=orange|BG=lightblue|RS=orange|MK=
Hybrid regimeA hybrid regime is a type of political system often created as a result of an incomplete democratic transition from an authoritarian regime to a democratic one (or vice versa). Hybrid regimes are categorized as having a combination of autocratic features with democratic ones and can simultaneously hold political repressions and regular elections. Hybrid regimes are commonly found in developing countries with abundant natural resources such as petro-states.
Political spectrumA political spectrum is a system to characterize and classify different political positions in relation to one another. These positions sit upon one or more geometric axes that represent independent political dimensions. The expressions political compass and political map are used to refer to the political spectrum as well, especially to popular two-dimensional models of it.
Banach spaceIn mathematics, more specifically in functional analysis, a Banach space (pronounced ˈbanax) is a complete normed vector space. Thus, a Banach space is a vector space with a metric that allows the computation of vector length and distance between vectors and is complete in the sense that a Cauchy sequence of vectors always converges to a well-defined limit that is within the space. Banach spaces are named after the Polish mathematician Stefan Banach, who introduced this concept and studied it systematically in 1920–1922 along with Hans Hahn and Eduard Helly.
Fréchet spaceIn functional analysis and related areas of mathematics, Fréchet spaces, named after Maurice Fréchet, are special topological vector spaces. They are generalizations of Banach spaces (normed vector spaces that are complete with respect to the metric induced by the norm). All Banach and Hilbert spaces are Fréchet spaces. Spaces of infinitely differentiable functions are typical examples of Fréchet spaces, many of which are typically Banach spaces.
Spatial analysisSpatial analysis is any of the formal techniques which studies entities using their topological, geometric, or geographic properties. Spatial analysis includes a variety of techniques using different analytic approaches, especially spatial statistics. It may be applied in fields as diverse as astronomy, with its studies of the placement of galaxies in the cosmos, or to chip fabrication engineering, with its use of "place and route" algorithms to build complex wiring structures.
Political economyPolitical economy is a branch of political science and economics studying economic systems (e.g. markets and national economies) and their governance by political systems (e.g. law, institutions, and government). Widely studied phenomena within the discipline are systems such as labour markets and financial markets, as well as phenomena such as growth, distribution, inequality, and trade, and how these are shaped by institutions, laws, and government policy. Originating in the 16th century, it is the precursor to the modern discipline of economics.
Hilbert spaceIn mathematics, Hilbert spaces (named after David Hilbert) allow the methods of linear algebra and calculus to be generalized from (finite-dimensional) Euclidean vector spaces to spaces that may be infinite-dimensional. Hilbert spaces arise naturally and frequently in mathematics and physics, typically as function spaces. Formally, a Hilbert space is a vector space equipped with an inner product that induces a distance function for which the space is a complete metric space.
Political sciencePolitical science is the scientific study of politics which is a social science dealing with the analysis and implementation of systems of governance and its impact on societies. Modern political science can generally be divided into the five sub-disciplines of political philosophy, political methodology, comparative politics, international relations, public policy and public administration.
GovernmentA government is the system or group of people governing an organized community, generally a state. In the case of its broad associative definition, government normally consists of legislature, executive, and judiciary. Government is a means by which organizational policies are enforced, as well as a mechanism for determining policy. In many countries, the government has a kind of constitution, a statement of its governing principles and philosophy.
