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114-579: The Russia–United States maritime boundary was established by the June 1, 1990 USA/USSR Maritime Boundary Agreement (since Russia declared itself to be the successor of the Soviet Union ). The United States Senate gave its advice and consent to ratification as early as on September 16, 1991, but it has yet to be approved by the Russian State Duma . This delimitation line is also known as

228-394: A conformal map is a function that locally preserves angles , but not necessarily lengths. More formally, let U {\displaystyle U} and V {\displaystyle V} be open subsets of R n {\displaystyle \mathbb {R} ^{n}} . A function f : U → V {\displaystyle f:U\to V}

342-655: A famine between 1930 and 1933 that killed millions. The Soviet forced labour camp system of the Gulag was expanded. During the late 1930s, Stalin's government conducted the Great Purge to remove opponents, resulting in mass death, imprisonment, and deportation. In 1939, the USSR and Nazi Germany signed a nonaggression pact , but in 1941, Germany invaded the Soviet Union in the largest land invasion in history, opening

456-541: A closer relationship with France and Britain. In 1939, half a year after the Munich Agreement , the USSR attempted to form an anti-Nazi alliance with France and Britain. Adolf Hitler proposed a better deal, which would give the USSR control over much of Eastern Europe through the Molotov–Ribbentrop Pact . In September, Germany invaded Poland, and the USSR also invaded later that month, resulting in

570-634: A conducting wall) is quite easy to solve. The solution is obtained in this domain, E ( w ) {\displaystyle E(w)} , and then mapped back to the original domain by noting that w {\displaystyle w} was obtained as a function ( viz ., the composition of E {\displaystyle E} and w {\displaystyle w} ) of z {\displaystyle z} , whence E ( w ) {\displaystyle E(w)} can be viewed as E ( w ( z ) ) {\displaystyle E(w(z))} , which

684-399: A conformal map and still remain governed by a potential. Examples in physics of equations defined by a potential include the electromagnetic field , the gravitational field , and, in fluid dynamics , potential flow , which is an approximation to fluid flow assuming constant density , zero viscosity , and irrotational flow . One example of a fluid dynamic application of a conformal map

798-400: A fleet of strategic bombers and during war situation was to eradicate enemy infrastructure and nuclear capacity. The air force also had a number of fighters and tactical bombers to support the army in the war. Strategic missile forces had more than 1,400 intercontinental ballistic missiles (ICBMs), deployed between 28 bases and 300 command centers. Conformal map In mathematics ,

912-400: A function is harmonic (that is, it satisfies Laplace's equation ∇ 2 f = 0 {\displaystyle \nabla ^{2}f=0} ) over a plane domain (which is two-dimensional), and is transformed via a conformal map to another plane domain, the transformation is also harmonic. For this reason, any function which is defined by a potential can be transformed by

1026-519: A greater union which he initially named as the Union of Soviet Republics of Europe and Asia (Russian: Союз Советских Республик Европы и Азии , romanized : Soyuz Sovyetskikh Respublik Evropy i Azii ). Joseph Stalin initially resisted Lenin's proposal but ultimately accepted it, and with Lenin's agreement he changed the name to the Union of Soviet Socialist Republics (USSR), although all republics began as socialist soviet and did not change to

1140-531: A group including circular and hyperbolic rotations . The latter are sometimes called Lorentz boosts to distinguish them from circular rotations. All these transformations are conformal since hyperbolic rotations preserve hyperbolic angle , (called rapidity ) and the other rotations preserve circular angle . The introduction of translations in the Poincaré group again preserves angles. A larger group of conformal maps for relating solutions of Maxwell's equations

1254-433: A holomorphic function), it preserves angles but reverses their orientation. In the literature, there is another definition of conformal: a mapping f {\displaystyle f} which is one-to-one and holomorphic on an open set in the plane. The open mapping theorem forces the inverse function (defined on the image of f {\displaystyle f} ) to be holomorphic. Thus, under this definition,

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1368-403: A map is conformal if and only if it is biholomorphic. The two definitions for conformal maps are not equivalent. Being one-to-one and holomorphic implies having a non-zero derivative. In fact, we have the following relation, the inverse function theorem : where z 0 ∈ C {\displaystyle z_{0}\in \mathbb {C} } . However, the exponential function

1482-597: A new profitable market. In the late 1920s and early 1930s, Stalin ordered Marxist-Leninist parties across the world to strongly oppose non-Marxist political parties, labour unions or other organizations on the left, which they labelled social fascists . In the usage of the Soviet Union, and of the Comintern and its affiliated parties in this period, the epithet fascist was used to describe capitalist society in general and virtually any anti-Soviet or anti-Stalinist activity or opinion. Stalin reversed himself in 1934 with

1596-780: A perfect circle by some conformal map. A map of the Riemann sphere onto itself is conformal if and only if it is a Möbius transformation . The complex conjugate of a Möbius transformation preserves angles, but reverses the orientation. For example, circle inversions . In plane geometry there are three types of angles that may be preserved in a conformal map. Each is hosted by its own real algebra, ordinary complex numbers , split-complex numbers , and dual numbers . The conformal maps are described by linear fractional transformations in each case. In Riemannian geometry , two Riemannian metrics g {\displaystyle g} and h {\displaystyle h} on

1710-419: A semi-infinite wall, the domain can be mapped to a half-plane in which the solution is one-dimensional and straightforward to calculate. For discrete systems, Noury and Yang presented a way to convert discrete systems root locus into continuous root locus through a well-know conformal mapping in geometry (aka inversion mapping ). Maxwell's equations are preserved by Lorentz transformations which form

1824-436: A smooth manifold M {\displaystyle M} are called conformally equivalent if g = u h {\displaystyle g=uh} for some positive function u {\displaystyle u} on M {\displaystyle M} . The function u {\displaystyle u} is called the conformal factor . A diffeomorphism between two Riemannian manifolds

1938-631: A status that is retained by the Russian Federation . Covering a sixth of Earth's land surface, its size was comparable to that of North America . Two other successor states, Kazakhstan and Ukraine , rank among the top 10 countries by land area, and the largest country entirely in Europe, respectively. The European portion accounted for a quarter of the country's area and was the cultural and economic center. The eastern part in Asia extended to

2052-475: A union of equals, in practice the Soviet Union was dominated by Russians . The domination was so absolute that for most of its existence, the country was commonly (but incorrectly) referred to as 'Russia'. While the Russian SFSR was technically only one republic within the larger union, it was by far the largest (both in terms of population and area), most powerful, and most highly developed. The Russian SFSR

2166-426: Is a function of z {\displaystyle z} , the original coordinate basis. Note that this application is not a contradiction to the fact that conformal mappings preserve angles, they do so only for points in the interior of their domain, and not at the boundary. Another example is the application of conformal mapping technique for solving the boundary value problem of liquid sloshing in tanks. If

2280-494: Is a holomorphic function with a nonzero derivative, but is not one-to-one since it is periodic. The Riemann mapping theorem , one of the profound results of complex analysis , states that any non-empty open simply connected proper subset of C {\displaystyle \mathbb {C} } admits a bijective conformal map to the open unit disk in C {\displaystyle \mathbb {C} } . Informally, this means that any blob can be transformed into

2394-531: Is called conformal (or angle-preserving ) at a point u 0 ∈ U {\displaystyle u_{0}\in U} if it preserves angles between directed curves through u 0 {\displaystyle u_{0}} , as well as preserving orientation. Conformal maps preserve both angles and the shapes of infinitesimally small figures, but not necessarily their size or curvature . The conformal property may be described in terms of

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2508-557: Is called a conformal map if the pulled back metric is conformally equivalent to the original one. For example, stereographic projection of a sphere onto the plane augmented with a point at infinity is a conformal map. One can also define a conformal structure on a smooth manifold, as a class of conformally equivalent Riemannian metrics . A classical theorem of Joseph Liouville shows that there are far fewer conformal maps in higher dimensions than in two dimensions. Any conformal map from an open subset of Euclidean space into

2622-573: Is derived from the Russian word sovet (Russian: совет ), meaning 'council', 'assembly', 'advice', ultimately deriving from the proto-Slavic verbal stem of * vět-iti ('to inform'), related to Slavic věst ('news'), English wise . The word sovietnik means 'councillor'. Some organizations in Russian history were called council (Russian: совет ). In the Russian Empire ,

2736-655: Is his background, his education , his profession . These are the questions that will determine the fate of the accused. That is the meaning and essence of the Red Terror ." During his rule, Stalin always made the final policy decisions. Otherwise, Soviet foreign policy was set by the commission on the Foreign Policy of the Central Committee of the Communist Party of the Soviet Union , or by

2850-400: Is quite clumsy to solve in closed form. However, by employing a very simple conformal mapping, the inconvenient angle is mapped to one of precisely π {\displaystyle \pi } radians, meaning that the corner of two planes is transformed to a straight line. In this new domain, the problem (that of calculating the electric field impressed by a point charge located near

2964-455: Is the Joukowsky transform that can be used to examine the field of flow around a Joukowsky airfoil. Conformal maps are also valuable in solving nonlinear partial differential equations in some specific geometries. Such analytic solutions provide a useful check on the accuracy of numerical simulations of the governing equation. For example, in the case of very viscous free-surface flow around

3078-569: The Baker-Shevardnadze line or Baker-Shevardnadze agreement , after the officials who signed the deal, Minister of Foreign Affairs of the Soviet Union Eduard Shevardnadze and US Secretary of State James Baker . The 1990 Agreement has been provisionally applied by the two countries since its date of signature. (The Russian Federation is the successor of the USSR with respect to the 1990 Agreement and

3192-520: The Council of People's Commissars ), headed by the Chairman (Premier) and managing an enormous bureaucracy responsible for the administration of the economy and society. State and party structures of the constituent republics largely emulated the structure of the central institutions, although the Russian SFSR, unlike the other constituent republics, for most of its history had no republican branch of

3306-606: The Eastern Front of World War II . The Soviets played a decisive role in defeating the Axis powers , suffering an estimated 27 million casualties , which accounted for most Allied losses. In the aftermath of the war , the Soviet Union consolidated the territory occupied by the Red Army , forming satellite states , and undertook rapid economic development which cemented its status as a superpower . Geopolitical tensions with

3420-514: The Jacobian derivative matrix of a coordinate transformation . The transformation is conformal whenever the Jacobian at each point is a positive scalar times a rotation matrix ( orthogonal with determinant one). Some authors define conformality to include orientation-reversing mappings whose Jacobians can be written as any scalar times any orthogonal matrix. For mappings in two dimensions,

3534-755: The Land Forces , the Air Force , the Navy , Joint State Political Directorate (OGPU) and the Internal Troops . The OGPU later became independent and in 1934 joined the NKVD secret police, and so its internal troops were under the joint leadership of the defense and internal commissariats. After World War II, Strategic Missile Forces (1959), Air Defense Forces (1948) and National Civil Defense Forces (1970) were formed, which ranked first, third, and sixth in

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3648-458: The Mercator projection and the stereographic projection are conformal. The preservation of compass directions makes them useful in marine navigation. Conformal mappings are invaluable for solving problems in engineering and physics that can be expressed in terms of functions of a complex variable yet exhibit inconvenient geometries. By choosing an appropriate mapping, the analyst can transform

3762-528: The Moscow State Institute of International Relations . The Marxist-Leninist leadership of the Soviet Union intensely debated foreign policy issues and changed directions several times. Even after Stalin assumed dictatorial control in the late 1920s, there were debates, and he frequently changed positions. During the country's early period, it was assumed that Communist revolutions would break out soon in every major industrial country, and it

3876-895: The October Revolution of 1917. The new government, led by Vladimir Lenin , established the Russian Soviet Federative Socialist Republic (RSFSR), the world's first constitutionally socialist state . The revolution was not accepted by all within the Russian Republic , resulting in the Russian Civil War . The RSFSR and its subordinate republics were merged into the Soviet Union in 1922. Following Lenin's death in 1924, Joseph Stalin came to power, inaugurating rapid industrialization and forced collectivization that led to significant economic growth but contributed to

3990-657: The Pacific Ocean to the east and Afghanistan to the south, and, except some areas in Central Asia , was much less populous. It spanned over 10,000 kilometres (6,200 mi) east to west across 11 time zones , and over 7,200 kilometres (4,500 mi) north to south. It had five climate zones: tundra , taiga , steppes , desert and mountains . The USSR, like Russia , had the world's longest border , measuring over 60,000 kilometres (37,000 mi), or 1 + 1 ⁄ 2 circumferences of Earth. Two-thirds of it

4104-790: The Popular Front program that called on all Marxist parties to join with all anti-Fascist political, labour, and organizational forces that were opposed to fascism , especially of the Nazi variety. The rapid growth of power in Nazi Germany encouraged both Paris and Moscow to form a military alliance, and the Franco-Soviet Treaty of Mutual Assistance was signed in May 1935. A firm believer in collective security, Stalin's foreign minister Maxim Litvinov worked very hard to form

4218-481: The Russian Empire , it was nominally organized as a federal union of national republics , the largest and most populous of which was the Russian SFSR . In practice, its government and economy were highly centralized . As a one-party state governed by the Communist Party of the Soviet Union , it was a flagship communist state . Its capital and largest city was Moscow . The Soviet Union's roots lay in

4332-581: The Soviet republics , and the control of the Communist Party weakened. The failed coup attempt in August 1991 against Gorbachev by hardline communists hastened the end of the Soviet Union , which formally dissolved on December 26, 1991, ending nearly seven decades of Soviet rule. With an area of 22,402,200 square kilometres (8,649,500 sq mi), the Soviet Union was the world's largest country,

4446-772: The State Council , which functioned from 1810 to 1917, was referred to as a Council of Ministers. The Soviets as workers' councils first appeared during the 1905 Russian Revolution . Although they were quickly suppressed by the Imperial army, after the February Revolution of 1917 , workers' and soldiers' Soviets emerged throughout the country and shared power with the Russian Provisional Government . The Bolsheviks, led by Vladimir Lenin , demanded that all power be transferred to

4560-635: The Universal Declaration of Human Rights (1948), saying that it was "overly juridical" and potentially infringed on national sovereignty. The Soviet Union later signed legally-binding human rights documents, such as the International Covenant on Civil and Political Rights in 1973 (and the 1966 International Covenant on Economic, Social and Cultural Rights ), but they were neither widely known or accessible to people living under Communist rule, nor were they taken seriously by

4674-769: The largest arsenal of nuclear weapons in the world . As an Allied nation, it was a founding member of the United Nations as well as one of the five permanent members of the United Nations Security Council . Before its dissolution, the USSR was one of the world's two superpowers through its hegemony in Eastern Europe, global diplomatic and ideological influence (particularly in the Global South ), military and economic strengths, and scientific accomplishments. The word soviet

USSR–USA Maritime Boundary Agreement - Misplaced Pages Continue

4788-538: The right to food , the right to work , and the right to education . The Soviet conception of human rights was very different from international law . According to Soviet legal theory , "it is the government who is the beneficiary of human rights which are to be asserted against the individual". The Soviet state was considered as the source of human rights. Therefore, the Soviet legal system considered law an arm of politics and it also considered courts agencies of

4902-415: The (orientation-preserving) conformal mappings are precisely the locally invertible complex analytic functions. In three and higher dimensions, Liouville's theorem sharply limits the conformal mappings to a few types. The notion of conformality generalizes in a natural way to maps between Riemannian or semi-Riemannian manifolds . If U {\displaystyle U} is an open subset of

5016-703: The 1920s, it refused to rubber stamp proposals from the party and Council of Ministers. In 1990, Gorbachev introduced and assumed the position of the President of the Soviet Union , concentrated power in his executive office, independent of the party, and subordinated the government, now renamed the Cabinet of Ministers of the USSR , to himself. Tensions grew between the Union-wide authorities under Gorbachev, reformists led in Russia by Boris Yeltsin and controlling

5130-482: The 1950s, the Soviet Union expanded its efforts in space exploration and took a lead in the Space Race with the first artificial satellite , the first human spaceflight , the first space station , and the first probe to land on another planet . In 1985, the last Soviet leader, Mikhail Gorbachev , sought to reform the country through his policies of glasnost and perestroika . In 1989, various countries of

5244-601: The 1990s, people in the West were also interested in the radioactive hazards of nuclear facilities, decommissioned nuclear submarines , and the processing of nuclear waste or spent nuclear fuel . It was also known in the early 1990s that the USSR had transported radioactive material to the Barents Sea and Kara Sea , which was later confirmed by the Russian parliament. The crash of the K-141 Kursk submarine in 2000 in

5358-526: The CPSU, being ruled directly by the union-wide party until 1990. Local authorities were organized likewise into party committees , local Soviets and executive committees . While the state system was nominally federal, the party was unitary. The state security police (the KGB and its predecessor agencies ) played an important role in Soviet politics. It was instrumental in the Red Terror and Great Purge , but

5472-529: The Communist authorities. Under Joseph Stalin , the death penalty was extended to adolescents as young as 12 years old in 1935. Sergei Kovalev recalled "the famous article 125 of the Constitution which enumerated all basic civil and political rights" in the Soviet Union. But when he and other prisoners attempted to use this as a legal basis for their abuse complaints, their prosecutor's argument

5586-538: The Politburo after the deaths of Lenin and Stalin, as well as after Khrushchev's dismissal, itself due to a decision by both the Politburo and the Central Committee. All leaders of the Communist Party before Gorbachev died in office, except Georgy Malenkov and Khrushchev, both dismissed from the party leadership amid internal struggle within the party. Between 1988 and 1990, facing considerable opposition, Mikhail Gorbachev enacted reforms shifting power away from

5700-475: The Russian name of the Soviet Union as СС has been taboo, the reason being that СС as a Russian Cyrillic abbreviation is associated with the infamous Schutzstaffel of Nazi Germany , as SS is in English. In English-language media, the state was referred to as the Soviet Union or the USSR. The Russian SFSR dominated the Soviet Union to such an extent that, for most of the Soviet Union's existence, it

5814-632: The Soviet Union and turned into SSRs, which was not recognized by most of the international community and was considered an illegal occupation . After the Soviet invasion of Finland , the Karelo-Finnish SSR was formed on annexed territory as a Union Republic in March 1940 and then incorporated into Russia as the Karelian ASSR in 1956. Between July 1956 and September 1991, there were 15 union republics (see map below). While nominally

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5928-529: The Soviet Union . Boris Yeltsin , the leader of the RSFSR, oversaw its reconstitution into the Russian Federation , which became the Soviet Union's successor state; all other republics emerged as fully independent post-Soviet states . During its existence, the Soviet Union produced many significant social and technological achievements and innovations . It had the world's second-largest economy and largest standing military. An NPT-designated state , it wielded

6042-662: The Soviet Union's priorities changed. Despite previous conflict with the United Kingdom , Vyacheslav Molotov dropped his post war border demands. The Cold War was a period of geopolitical tension between the United States and the Soviet Union and their respective allies, the Western Bloc and the Eastern Bloc , which began following World War II in 1945. The term cold war is used because there

6156-541: The Soviet Union's superpower status, the economy struggled due to its centralized nature, technological backwardness, and inefficiencies. The vast military expenditures and burdens of maintaining the Eastern Bloc, further strained the Soviet economy. In the 1980s, Mikhail Gorbachev 's policies of Glasnost (openness) and Perestroika (restructuring) aimed to revitalize the Soviet system but instead accelerated its unraveling. Nationalist movements gained momentum across

6270-546: The Soviet authorities admitted. The Soviet Union was the world's second largest producer of harmful emissions. In 1988, total emissions in the Soviet Union were about 79% of those in the United States. But since the Soviet GNP was only 54% of that of the United States, this means that the Soviet Union generated 1.5 times more pollution than the United States per unit of GNP. The Soviet Chernobyl disaster in 1986

6384-757: The Soviets, and gained support from the workers and soldiers. After the October Revolution , in which the Bolsheviks seized power from the Provisional Government in the name of the Soviets, Lenin proclaimed the formation of the Russian Socialist Federal Soviet Republic (RSFSR). During the Georgian Affair of 1922, Lenin called for the Russian SFSR and other national Soviet republics to form

6498-536: The Supreme Soviet were members of the CPSU. Of the party heads themselves, Stalin (1941–1953) and Khrushchev (1958–1964) were Premiers. Upon the forced retirement of Khrushchev, the party leader was prohibited from this kind of double membership, but the later General Secretaries for at least some part of their tenure occupied the mostly ceremonial position of Chairman of the Presidium of the Supreme Soviet ,

6612-551: The US led to the Cold War . The American-led Western Bloc coalesced into NATO in 1949, prompting the Soviet Union to form its own military alliance, the Warsaw Pact , in 1955. Neither side engaged in direct military confrontation, and instead fought on an ideological basis and through proxy wars . In 1953, following Stalin's death , the Soviet Union undertook a campaign of de-Stalinization under Nikita Khrushchev , which saw reversals and rejections of Stalinist policies. This campaign caused tensions with Communist China . During

6726-430: The USSR. Moscow eventually stopped threatening other states, and instead worked to open peaceful relationships in terms of trade, and diplomatic recognition. The United Kingdom dismissed the warnings of Winston Churchill and a few others about a continuing Marxist-Leninist threat, and opened trade relations and de facto diplomatic recognition in 1922. There was hope for a settlement of the pre-war Tsarist debts, but it

6840-403: The United States", in which the draft Agreement was approved. At the same time, there was no provision in the legislation of the USSR for the temporary entry into force of treaties on territorial division with other states. They are subject to mandatory ratification. Moreover, in accordance with the Constitution of the USSR (paragraph 3, Article 108), the definition of the state border of the USSR

6954-409: The Warsaw Pact overthrew their Soviet-backed regimes , and nationalist and separatist movements erupted across the Soviet Union. In 1991, amid efforts to preserve the country as a renewed federation , an attempted coup against Gorbachev by hardline communists prompted the largest republics—Ukraine, Russia, and Belarus—to secede. On December 26, Gorbachev officially recognized the dissolution of

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7068-449: The accident, but this led to a relatively low number of deaths (WHO data, 2005). Another major radioactive accident was the Kyshtym disaster . The Kola Peninsula was one of the places with major problems. Around the industrial cities of Monchegorsk and Norilsk , where nickel , for example, is mined, all forests have been destroyed by contamination, while the northern and other parts of Russia have been affected by emissions. During

7182-405: The agreement to provisionally apply it.) In general concept, the 1990 line is based on the 1867 United States – Russia Convention providing for the US purchase of Alaska. From the point, 65° 30' N, 168° 58' 37" W the maritime boundary extends north along the 168° 58' 37" W meridian through the Bering Strait and Chukchi Sea into the Arctic Ocean as far as permitted under international law. From

7296-423: The complex plane C {\displaystyle \mathbb {C} } , then a function f : U → C {\displaystyle f:U\to \mathbb {C} } is conformal if and only if it is holomorphic and its derivative is everywhere non-zero on U {\displaystyle U} . If f {\displaystyle f} is antiholomorphic ( conjugate to

7410-429: The country was limited. The state restricted rights of citizens to private property . According to the Universal Declaration of Human Rights , human rights are the "basic rights and freedoms to which all humans are entitled." including the right to life and liberty , freedom of expression , and equality before the law ; and social, cultural and economic rights, including the right to participate in culture ,

7524-442: The creation of new state commissions and committees. It gained additional powers relating to the approval of the Five-Year Plans and the government budget . The Supreme Soviet elected a Presidium (successor of the Central Executive Committee ) to wield its power between plenary sessions, ordinarily held twice a year, and appointed the Supreme Court , the Procurator General and the Council of Ministers (known before 1946 as

7638-409: The degree of power consolidation, it was either the Politburo as a collective body or the General Secretary, who always was one of the Politburo members, that effectively led the party and the country (except for the period of the highly personalized authority of Stalin, exercised directly through his position in the Council of Ministers rather than the Politburo after 1941). They were not controlled by

7752-411: The difference between the two lines and introduced several "special areas", which were beyond the 200-mile zone, but in which the sides ceded their rights to the opponent. Many in Russia have criticized Mikhail Gorbachev and Edvard Shevardnadze for rushing the deal, ceding Russian fishing rights and other maritime benefits, but Foreign Minister Sergey Lavrov recently defended the agreement as being in

7866-432: The duty of the Russian Bolsheviks to protect what they had in Russia, and avoid military confrontations that might destroy their bridgehead. Russia was now a pariah state, along with Germany. The two came to terms in 1922 with the Treaty of Rapallo that settled long-standing grievances. At the same time, the two countries secretly set up training programs for the illegal German army and air force operations at hidden camps in

7980-417: The founding republics who signed the Treaty on the Creation of the USSR in December 1922. In 1924, during the national delimitation in Central Asia, Uzbekistan and Turkmenistan were formed from parts of Russia's Turkestan ASSR and two Soviet dependencies, the Khorezm and Bukharan PSPs . In 1929, Tajikistan was split off from the Uzbekistan SSR. With the constitution of 1936, the Transcaucasian SFSR

8094-410: The general party membership, as the key principle of the party organization was democratic centralism , demanding strict subordination to higher bodies, and elections went uncontested, endorsing the candidates proposed from above. The Communist Party maintained its dominance over the state mainly through its control over the system of appointments . All senior government officials and most deputies of

8208-525: The globe. The post-Stalin leadership, particularly under Nikita Khrushchev , initiated a de-Stalinization process, leading to a period of liberalization and relative openness known as the Khrushchev Thaw . However, the subsequent era under Leonid Brezhnev , referred to as the Era of Stagnation , was marked by economic decline, political corruption, and a rigid gerontocracy . Despite efforts to maintain

8322-497: The government. Extensive extrajudicial powers were given to the Soviet secret police agencies . In practice, the Soviet government significantly curbed the rule of law , civil liberties , protection of law and guarantees of property , which were considered as examples of "bourgeois morality" by Soviet law theorists such as Andrey Vyshinsky . The USSR and other countries in the Soviet Bloc had abstained from affirming

8436-402: The highest bodies of the party and making the Supreme Soviet less dependent on them. The Congress of People's Deputies was established, the majority of whose members were directly elected in competitive elections held in March 1989, the first in Soviet history. The Congress now elected the Supreme Soviet, which became a full-time parliament, and much stronger than before. For the first time since

8550-472: The implementation of socialist policies and the New Economic Policy (NEP), which allowed for market-oriented reforms. The rise of Joseph Stalin in the late 1920s ushered in an era of intense centralization and totalitarianism. Stalin's rule was characterized by the forced collectivization of agriculture , rapid industrialization , and the Great Purge , which eliminated perceived enemies of

8664-412: The inconvenient geometry into a much more convenient one. For example, one may wish to calculate the electric field, E ( z ) {\displaystyle E(z)} , arising from a point charge located near the corner of two conducting planes separated by a certain angle (where z {\displaystyle z} is the complex coordinate of a point in 2-space). This problem per se

8778-438: The interest of all parties. Soviet Union The Union of Soviet Socialist Republics ( USSR ), commonly known as the Soviet Union , was a transcontinental country that spanned much of Eurasia from 1922 to 1991. During its existence, it was the largest country by area , extending across eleven time zones and sharing borders with twelve countries , and the third-most populous country . An overall successor to

8892-514: The method of inversion, such as found in James Hopwood Jeans textbook Mathematical Theory of Electricity and Magnetism . In general relativity , conformal maps are the simplest and thus most common type of causal transformations. Physically, these describe different universes in which all the same events and interactions are still (causally) possible, but a new additional force is necessary to affect this (that is, replication of all

9006-486: The most common Russian initialization is Союз ССР (transliteration: Soyuz SSR ) which essentially translates to Union of SSRs in English. In addition, the Russian short form name Советский Союз (transliteration: Sovyetsky Soyuz , which literally means Soviet Union ) is also commonly used, but only in its unabbreviated form. Since the start of the Great Patriotic War at the latest, abbreviating

9120-417: The newly elected Supreme Soviet of the Russian SFSR , and communist hardliners. On 19–21 August 1991, a group of hardliners staged a coup attempt . The coup failed, and the State Council of the Soviet Union became the highest organ of state power 'in the period of transition'. Gorbachev resigned as General Secretary, only remaining President for the final months of the existence of the USSR. The judiciary

9234-400: The nominal head of state . The institutions at lower levels were overseen and at times supplanted by primary party organizations . However, in practice the degree of control the party was able to exercise over the state bureaucracy, particularly after the death of Stalin, was far from total, with the bureaucracy pursuing different interests that were at times in conflict with the party, nor

9348-490: The norms of international maritime law, the interests of Russia and an assessment of possible consequences in the event of non-ratification. The agreement does not contradict the interests of Russia, except for the loss of the right to conduct marine fishing in the area in the middle part of the Bering Sea. The Russian side has been negotiating with the United States in order to conclude a comprehensive agreement on fishing in

9462-428: The northern part of the Bering Sea, which would compensate Russian fishermen for losses from fishing in areas ceded to the United States. In 1999, the state of Alaska intervened in the dispute. In its resolution HJR-27, the state Parliament questioned the legality of the borders between the United States and Russia, since on June 1, 1990, US Secretary of State James Baker signed the agreement "On Maritime Borders" without

9576-608: The official Soviet system of importance (ground forces were second, Air Force fourth, and Navy fifth). The army had the greatest political influence. In 1989, there served two million soldiers divided between 150 motorized and 52 armored divisions. Until the early 1960s, the Soviet navy was a rather small military branch, but after the Caribbean crisis , under the leadership of Sergei Gorshkov , it expanded significantly. It became known for battlecruisers and submarines. In 1989, there served 500 000 men. The Soviet Air Force focused on

9690-487: The only legal party and the final policymaker in the country. At the top of the Communist Party was the Central Committee , elected at Party Congresses and Conferences. In turn, the Central Committee voted for a Politburo (called the Presidium between 1952 and 1966), Secretariat and the general secretary (First Secretary from 1953 to 1966), the de facto highest office in the Soviet Union. Depending on

9804-694: The other order until 1936 . In addition, in the regional languages of several republics, the word council or conciliar in the respective language was only quite late changed to an adaptation of the Russian soviet and never in others, e.g. Ukrainian SSR . СССР (in the Latin alphabet: SSSR ) is the abbreviation of the Russian-language cognate of USSR, as written in Cyrillic letters . The Soviets used this abbreviation so frequently that audiences worldwide became familiar with its meaning. After this,

9918-399: The participation of representatives of Alaska in negotiations and without the consent of the state to the terms of the agreement. The need for the maritime boundary arose with the introduction of the 200-mile limit by the United States and the Soviet Union. The United States proposed using the 1867 Alaska line because it understood that to be the likely Soviet position. The 1990 delimitation

10032-570: The partition of Poland. In response, Britain and France declared war on Germany, marking the beginning of World War II . Up until his death in 1953, Joseph Stalin controlled all foreign relations of the Soviet Union during the interwar period . Despite the increasing build-up of Germany 's war machine and the outbreak of the Second Sino-Japanese War , the Soviet Union did not cooperate with any other nation, choosing to follow its own path. However, after Operation Barbarossa ,

10146-538: The party's highest body the Politburo . Operations were handled by the separate Ministry of Foreign Affairs . It was known as the People's Commissariat for Foreign Affairs (or Narkomindel), until 1946. The most influential spokesmen were Georgy Chicherin (1872–1936), Maxim Litvinov (1876–1951), Vyacheslav Molotov (1890–1986), Andrey Vyshinsky (1883–1954) and Andrei Gromyko (1909–1989). Intellectuals were based in

10260-597: The post of chairman of the Council of Ministers of the USSR at that time, claimed that neither the Politburo nor the Council of Ministers of the USSR considered him, and he, the head of government, never signed such documents. The staff of the Russian Foreign Ministry refers to the Resolution of the Council of Ministers of the USSR dated May 30, 1990 No. 532 "On the delimitation of maritime spaces with

10374-702: The same Euclidean space of dimension three or greater can be composed from three types of transformations: a homothety , an isometry , and a special conformal transformation . For linear transformations , a conformal map may only be composed of homothety and isometry , and is called a conformal linear transformation . Applications of conformal mapping exist in aerospace engineering, in biomedical sciences (including brain mapping and genetic mapping ), in applied math (for geodesics and in geometry ), in earth sciences (including geophysics, geography, and cartography), in engineering, and in electronics. In cartography , several named map projections , including

10488-619: The same point southwards, the boundary follows a line specified by maritime geographic positions given in the Agreement. The legality of the Shevardnadze-Baker agreement has been raised in Russia many times, pointing out that the initiators of the agreement did not hold preliminary discussions sufficient to consider this agreement from the point of view of the Government of Russia (USSR). Nikolai Ivanovich Ryzhkov, who held

10602-594: The state. The Soviet Union played a crucial role in the Allied victory in World War II , but at a tremendous human cost, with millions of Soviet citizens perishing in the conflict. The Soviet Union emerged as one of the world's two superpowers, leading the Eastern Bloc in opposition to the Western Bloc during the Cold War . This period saw the USSR engage in an arms race, the Space Race , and proxy wars around

10716-469: The struggle for dominance was expressed via indirect means such as psychological warfare , propaganda campaigns, espionage , far-reaching embargoes , rivalry at sports events and technological competitions such as the Space Race . Constitutionally, the USSR was a federation of constituent Union Republics, which were either unitary states, such as Ukraine or Byelorussia (SSRs), or federations, such as Russia or Transcaucasia (SFSRs), all four being

10830-492: The truth". Human rights in the Soviet Union were severely limited. The Soviet Union was a totalitarian state from 1927 until 1953 and a one-party state until 1990. Freedom of speech was suppressed and dissent was punished. Independent political activities were not tolerated, whether these involved participation in free labour unions , private corporations , independent churches or opposition political parties . The freedom of movement within and especially outside

10944-527: The west further raised concerns. In the past, there were accidents involving submarines K-19 , K-8 , a K-129 , K-27 , K-219 and K-278 Komsomolets . There were three power hierarchies in the Soviet Union: the legislature represented by the Supreme Soviet of the Soviet Union , the government represented by the Council of Ministers , and the Communist Party of the Soviet Union (CPSU),

11058-465: The world's largest lakes; the Caspian Sea (shared with Iran ), and Lake Baikal , the world's largest (by volume) and deepest freshwater lake that is also an internal body of water in Russia. Neighbouring countries were aware of the high levels of pollution in the Soviet Union but after the dissolution of the Soviet Union it was discovered that its environmental problems were greater than what

11172-562: Was a coastline . The country bordered Afghanistan , the People's Republic of China , Czechoslovakia , Finland , Hungary , Iran , Mongolia , North Korea , Norway , Poland , Romania , and Turkey from 1945 to 1991. The Bering Strait separated the USSR from the United States . The country's highest mountain was Communism Peak (now Ismoil Somoni Peak ) in Tajikistan , at 7,495 metres (24,590 ft). The USSR also included most of

11286-539: Was also the industrial center of the Soviet Union. Historian Matthew White wrote that it was an open secret that the country's federal structure was 'window dressing' for Russian dominance. For that reason, the people of the USSR were usually called 'Russians', not 'Soviets', since 'everyone knew who really ran the show'. Under the Military Law of September 1925, the Soviet Armed Forces consisted of

11400-483: Was brought under strict party control after Stalin's death. Under Yuri Andropov , the KGB engaged in the suppression of political dissent and maintained an extensive network of informers, reasserting itself as a political actor to some extent independent of the party-state structure, culminating in the anti-corruption campaign targeting high-ranking party officials in the late 1970s and early 1980s. The constitution , which

11514-540: Was carried out within the terms of the Soviet Civil Code. Some Soviet legal scholars even said that "criminal repression" may be applied in the absence of guilt. Martin Latsis , chief of Soviet Ukraine 's secret police explained: "Do not look in the file of incriminating evidence to see whether or not the accused rose up against the Soviets with arms or words. Ask him instead to which class he belongs, what

11628-475: Was colloquially, but incorrectly, referred to as Russia . The history of the Soviet Union began with the ideals of the Bolshevik Revolution and ended in dissolution amidst economic collapse and political disintegration. Established in 1922 following the Russian Civil War , the Soviet Union quickly became a one-party state under the Communist Party . Its early years under Lenin were marked by

11742-399: Was complicated since neither side could produce the maps used during the original Alaska purchase negotiations. Furthermore, the two sides agreed that the boundary was intended to be a straight line on a map, but they did not agree which map projection was used: Mercator or conformal . This resulted in about 15,000 square nautical miles (51,000 km) of disputed area. The 1990 line split

11856-404: Was dissolved, resulting in its constituent republics of Armenia , Georgia and Azerbaijan being elevated to Union Republics, while Kazakhstan and Kirghizia were split off from the Russian SFSR, resulting in the same status. In August 1940, Moldavia was formed from parts of Ukraine and Soviet-occupied Bessarabia , and Ukrainian SSR. Estonia , Latvia and Lithuania were also annexed by

11970-416: Was identified by Ebenezer Cunningham (1908) and Harry Bateman (1910). Their training at Cambridge University had given them facility with the method of image charges and associated methods of images for spheres and inversion. As recounted by Andrew Warwick (2003) Masters of Theory : Warwick highlights this "new theorem of relativity" as a Cambridge response to Einstein, and as founded on exercises using

12084-424: Was no large-scale fighting directly between the two superpowers , but they each supported major regional conflicts known as proxy wars . The conflict was based around the ideological and geopolitical struggle for global influence by these two superpowers, following their temporary alliance and victory against Nazi Germany in 1945. Aside from the nuclear arsenal development and conventional military deployment,

12198-450: Was not independent of the other branches of government. The Supreme Court supervised the lower courts ( People's Court ) and applied the law as established by the constitution or as interpreted by the Supreme Soviet. The Constitutional Oversight Committee reviewed the constitutionality of laws and acts. The Soviet Union used the inquisitorial system of Roman law , where the judge, procurator , and defence attorney collaborate to "establish

12312-485: Was promulgated in 1924 , 1936 and 1977 , did not limit state power. No formal separation of powers existed between the Party, Supreme Soviet and Council of Ministers that represented executive and legislative branches of the government. The system was governed less by statute than by informal conventions, and no settled mechanism of leadership succession existed. Bitter and at times deadly power struggles took place in

12426-477: Was repeatedly postponed. Formal recognition came when the new Labour Party came to power in 1924. All the other countries followed suit in opening trade relations. Henry Ford opened large-scale business relations with the Soviets in the late 1920s, hoping that it would lead to long-term peace. Finally, in 1933, the United States officially recognized the USSR, a decision backed by the public opinion and especially by US business interests that expected an opening of

12540-482: Was that "the Constitution was written not for you, but for American Negroes, so that they know how happy the lives of Soviet citizens are". Crime was determined not as the infraction of law, instead, it was determined as any action which could threaten the Soviet state and society. For example, a desire to make a profit could be interpreted as a counter-revolutionary activity punishable by death. The liquidation and deportation of millions of peasants in 1928–31

12654-587: Was the Russian responsibility to assist them. The Comintern was the weapon of choice. A few revolutions did break out, but they were quickly suppressed (the longest lasting one was in Hungary)—the Hungarian Soviet Republic —lasted only from 21 March 1919 to 1 August 1919. The Russian Bolsheviks were in no position to give any help. By 1921, Lenin, Trotsky, and Stalin realized that capitalism had stabilized itself in Europe and there would not be any widespread revolutions anytime soon. It became

12768-485: Was the exclusive responsibility of the Congress of People's Deputies of the USSR. The United States ratified the Agreement on September 16, 1991. The issue of ratification of the Agreement by Russia was not raised, primarily due to ambiguous assessments of its economic consequences for fishing in the Bering Sea. Russian government agencies have repeatedly conducted an examination of this Agreement for its compliance with

12882-404: Was the first major accident at a civilian nuclear power plant . Unparalleled in the world, it resulted in a large number of radioactive isotopes being released into the atmosphere. Radioactive doses were scattered relatively far. Although long-term effects of the accident were unknown, 4,000 new cases of thyroid cancer which resulted from the accident's contamination were reported at the time of

12996-486: Was the party itself monolithic from top to bottom, although factions were officially banned . The Supreme Soviet (successor of the Congress of Soviets ) was nominally the highest state body for most of the Soviet history, at first acting as a rubber stamp institution, approving and implementing all decisions made by the party. However, its powers and functions were extended in the late 1950s, 1960s and 1970s, including

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