[Once again, a program appears to avoid explicitly stating the obvious. In essence, it has been repeatedly observed that those who were sexually abused as children are more likely to believe that there are 'monsters under every bed', and more likely to cope with unavoidable trauma by dissociating. Those forced to resort to DID in order to cope with early, prolonged abuse are more likely to appear to be 'possessed' by 'demonic' alter personalities. Those who were physically abused as children are more likely to distrust the world. Unfortunately, exorcism is yet another form of abuse. Too long misdiagnosed as schizophrenia, and more lately as bipolar and borderline personality disorders, DID is a reversible condition, but only after years of appropriate therapy -- which exorcism very definitely is not.]
Showing posts with label 18thC. Show all posts
Showing posts with label 18thC. Show all posts
Newton's Pi
Ridiculous Way We Used To Calculate Pi - Veri > .
For thousands of years, mathematicians were calculating Pi the obvious but numerically inefficient way. Then Newton came along and changed the game.
Sir Isaac Newton PRS (25 December 1642 – 20 March 1726/27) was an English mathematician, physicist, astronomer, theologian, and author (described in his time as a "natural philosopher") who is widely recognised as one of the most influential scientists of all time and as a key figure in the scientific revolution. His book Philosophiæ Naturalis Principia Mathematica (Mathematical Principles of Natural Philosophy), first published in 1687, established classical mechanics. Newton also made seminal contributions to optics, and shares credit with Gottfried Wilhelm Leibniz for developing the infinitesimal calculus.
In Principia, Newton formulated the laws of motion and universal gravitation that formed the dominant scientific viewpoint until it was superseded by the theory of relativity. Newton used his mathematical description of gravity to derive Kepler's laws of planetary motion, account for tides, the trajectories of comets, the precession of the equinoxes and other phenomena, eradicating doubt about the Solar System's heliocentricity. He demonstrated that the motion of objects on Earth and celestial bodies could be accounted for by the same principles. Newton's inference that the Earth is an oblate spheroid was later confirmed by the geodetic measurements of Maupertuis, La Condamine, and others, convincing most European scientists of the superiority of Newtonian mechanics over earlier systems.
Newton's work has been said "to distinctly advance every branch of mathematics then studied." His work on the subject usually referred to as fluxions or calculus, seen in a manuscript of October 1666, is now published among Newton's mathematical papers. The author of the manuscript De analysi per aequationes numero terminorum infinitas, sent by Isaac Barrow to John Collins in June 1669, was identified by Barrow in a letter sent to Collins in August of that year as "[...] of an extraordinary genius and proficiency in these things."
Newton later became involved in a dispute with Leibniz over priority in the development of calculus (the Leibniz–Newton calculus controversy). Most modern historians believe that Newton and Leibniz developed calculus independently, although with very different mathematical notations. Occasionally it has been suggested that Newton published almost nothing about it until 1693, and did not give a full account until 1704, while Leibniz began publishing a full account of his methods in 1684. Leibniz's notation and "differential Method", nowadays recognised as much more convenient notations, were adopted by continental European mathematicians, and after 1820 or so, also by British mathematicians.[citation needed]
His work extensively uses calculus in geometric form based on limiting values of the ratios of vanishingly small quantities: in Principia itself, Newton gave demonstration of this under the name of "the method of first and last ratios" and explained why he put his expositions in this form, remarking also that "hereby the same thing is performed as by the method of indivisibles."
Because of this, the Principia has been called "a book dense with the theory and application of the infinitesimal calculus" in modern times and in Newton's time "nearly all of it is of this calculus." His use of methods involving "one or more orders of the infinitesimally small" is present in his De motu corporum in gyrum of 1684 and in his papers on motion "during the two decades preceding 1684".
In Principia, Newton formulated the laws of motion and universal gravitation that formed the dominant scientific viewpoint until it was superseded by the theory of relativity. Newton used his mathematical description of gravity to derive Kepler's laws of planetary motion, account for tides, the trajectories of comets, the precession of the equinoxes and other phenomena, eradicating doubt about the Solar System's heliocentricity. He demonstrated that the motion of objects on Earth and celestial bodies could be accounted for by the same principles. Newton's inference that the Earth is an oblate spheroid was later confirmed by the geodetic measurements of Maupertuis, La Condamine, and others, convincing most European scientists of the superiority of Newtonian mechanics over earlier systems.
Newton later became involved in a dispute with Leibniz over priority in the development of calculus (the Leibniz–Newton calculus controversy). Most modern historians believe that Newton and Leibniz developed calculus independently, although with very different mathematical notations. Occasionally it has been suggested that Newton published almost nothing about it until 1693, and did not give a full account until 1704, while Leibniz began publishing a full account of his methods in 1684. Leibniz's notation and "differential Method", nowadays recognised as much more convenient notations, were adopted by continental European mathematicians, and after 1820 or so, also by British mathematicians.[citation needed]
His work extensively uses calculus in geometric form based on limiting values of the ratios of vanishingly small quantities: in Principia itself, Newton gave demonstration of this under the name of "the method of first and last ratios" and explained why he put his expositions in this form, remarking also that "hereby the same thing is performed as by the method of indivisibles."
Because of this, the Principia has been called "a book dense with the theory and application of the infinitesimal calculus" in modern times and in Newton's time "nearly all of it is of this calculus." His use of methods involving "one or more orders of the infinitesimally small" is present in his De motu corporum in gyrum of 1684 and in his papers on motion "during the two decades preceding 1684".
Newton is generally credited with the generalised binomial theorem, valid for any exponent. He discovered Newton's identities, Newton's method, classified cubic plane curves (polynomials of degree three in two variables), made substantial contributions to the theory of finite differences, and was the first to use fractional indices and to employ coordinate geometry to derive solutions to Diophantine equations. He approximated partial sums of the harmonic series by logarithms (a precursor to Euler's summation formula) and was the first to use power series with confidence and to revert power series. Newton's work on infinite series was inspired by Simon Stevin's decimals.
Newton built the first practical reflecting telescope and developed a sophisticated theory of colour based on the observation that a prism separates white light into the colours of the visible spectrum. His work on light was collected in his highly influential book Opticks, published in 1704. He also formulated an empirical law of cooling, made the first theoretical calculation of the speed of sound, and introduced the notion of a Newtonian fluid. In addition to his work on calculus, as a mathematician Newton contributed to the study of power series, generalised the binomial theorem to non-integer exponents, developed a method for approximating the roots of a function, and classified most of the cubic plane curves.
Newton was a fellow of Trinity College and the second Lucasian Professor of Mathematics at the University of Cambridge. He was a devout but unorthodox Christian who privately rejected the doctrine of the Trinity. Unusually for a member of the Cambridge faculty of the day, he refused to take holy orders in the Church of England. Beyond his work on the mathematical sciences, Newton dedicated much of his time to the study of alchemy and biblical chronology, but most of his work in those areas remained unpublished until long after his death. Politically and personally tied to the Whig party, Newton served two brief terms as Member of Parliament for the University of Cambridge, in 1689–90 and 1701–02. He was knighted by Queen Anne in 1705 and spent the last three decades of his life in London, serving as Warden (1696–1699) and Master (1699–1727) of the Royal Mint, as well as president of the Royal Society (1703–1727).
Newton built the first practical reflecting telescope and developed a sophisticated theory of colour based on the observation that a prism separates white light into the colours of the visible spectrum. His work on light was collected in his highly influential book Opticks, published in 1704. He also formulated an empirical law of cooling, made the first theoretical calculation of the speed of sound, and introduced the notion of a Newtonian fluid. In addition to his work on calculus, as a mathematician Newton contributed to the study of power series, generalised the binomial theorem to non-integer exponents, developed a method for approximating the roots of a function, and classified most of the cubic plane curves.
Newton was a fellow of Trinity College and the second Lucasian Professor of Mathematics at the University of Cambridge. He was a devout but unorthodox Christian who privately rejected the doctrine of the Trinity. Unusually for a member of the Cambridge faculty of the day, he refused to take holy orders in the Church of England. Beyond his work on the mathematical sciences, Newton dedicated much of his time to the study of alchemy and biblical chronology, but most of his work in those areas remained unpublished until long after his death. Politically and personally tied to the Whig party, Newton served two brief terms as Member of Parliament for the University of Cambridge, in 1689–90 and 1701–02. He was knighted by Queen Anne in 1705 and spent the last three decades of his life in London, serving as Warden (1696–1699) and Master (1699–1727) of the Royal Mint, as well as president of the Royal Society (1703–1727).
Great Northern War
.How Russia Became an Empire - Great Northern War - K&G > .
Between the years of 1560 and 1658, Sweden created a Baltic empire centred on the Gulf of Finland and comprising the provinces of Karelia, Ingria, Estonia, and Livonia. During the Thirty Years' War Sweden gained tracts in Germany as well, including Western Pomerania, Wismar, the Duchy of Bremen, and Verden. During the same period, Sweden conquered Danish and Norwegian provinces north of the Sound (1645; 1658). These victories may be ascribed to a well-trained army, which despite its comparatively small size, was far more professional than most continental armies, and also to a modernization of administration (both civilian and military) in the course of the 17th century, which enabled the monarchy to harness the resources of the country and its empire in an effective way. Fighting in the field, the Swedish army (which during the Thirty Years' War contained more German and Scottish mercenaries than ethnic Swedes, but was administered by the Swedish Crown[18]) was able, in particular, to make quick, sustained marches across large tracts of land and to maintain a high rate of small arms fire due to proficient military drill.
However, the Swedish state ultimately proved unable to support and maintain its army in a prolonged war. Campaigns on the continent had been proposed on the basis that the army would be financially self-supporting through plunder and taxation of newly gained land, a concept shared by most major powers of the period. The cost of the warfare proved to be much higher than the occupied countries could fund, and Sweden's coffers and resources in manpower were eventually drained in the course of long conflicts.
The foreign interventions in Russia during the Time of Troubles resulted in Swedish gains in the Treaty of Stolbovo (1617). The treaty deprived Russia of direct access to the Baltic Sea. Russian fortunes began to reverse in the final years of the 17th century, notably with the rise to power of Peter the Great, who looked to address the earlier losses and re-establish a Baltic presence. In the late 1690s, the adventurer Johann Patkul managed to ally Russia with Denmark and Saxony by the secret Treaty of Preobrazhenskoye, and in 1700 the three powers attacked.
The Great Northern War (1700–1721) was a conflict in which a coalition led by the Tsardom of Russia successfully contested the supremacy of the Swedish Empire in Northern, Central and Eastern Europe. The initial leaders of the anti-Swedish alliance were Peter I of Russia, Frederick IV of Denmark–Norway and Augustus II the Strong of Saxony–Poland–Lithuania. Frederick IV and Augustus II were defeated by Sweden, under Charles XII, and forced out of the alliance in 1700 and 1706 respectively, but rejoined it in 1709 after the defeat of Charles XII at the Battle of Poltava. George I of Great Britain and the Electorate of Hanover joined the coalition in 1714 for Hanover and in 1717 for Britain, and Frederick William I of Brandenburg-Prussia joined it in 1715.
However, the Swedish state ultimately proved unable to support and maintain its army in a prolonged war. Campaigns on the continent had been proposed on the basis that the army would be financially self-supporting through plunder and taxation of newly gained land, a concept shared by most major powers of the period. The cost of the warfare proved to be much higher than the occupied countries could fund, and Sweden's coffers and resources in manpower were eventually drained in the course of long conflicts.
The foreign interventions in Russia during the Time of Troubles resulted in Swedish gains in the Treaty of Stolbovo (1617). The treaty deprived Russia of direct access to the Baltic Sea. Russian fortunes began to reverse in the final years of the 17th century, notably with the rise to power of Peter the Great, who looked to address the earlier losses and re-establish a Baltic presence. In the late 1690s, the adventurer Johann Patkul managed to ally Russia with Denmark and Saxony by the secret Treaty of Preobrazhenskoye, and in 1700 the three powers attacked.
Economic History
Feifs to Economic Liberalism - BeFa > .
A fief (L: feudum) was the central element of feudalism. It consisted of heritable property or rights granted by an overlord to a vassal who held it in fealty (or "in fee") in return for a form of feudal allegiance and service, usually given by the personal ceremonies of homage and fealty. The fees were often lands or revenue-producing real property held in feudal land tenure: these are typically known as fiefs or fiefdoms. However, not only land but anything of value could be held in fee, including governmental office, rights of exploitation such as hunting or fishing, monopolies in trade, and tax farms.
Trade - Romans to Coronavirus
Romans > .
Europe after decline of Western Roman Empire > .
Mongols & Silk Road - Pax Mongolicā > .
Pax Mongolica to Europa Universalis: Mackinder 4/5 - Geop > .Black Death & retreat of China > .
New trade routes in 15thC, 16thC > .
New technologies in 19thC > .
Gold Standard & 1st Golden Age of Trade (1880s - 1914) > .
Great War, Spanish Flu, Great Depression, Russian Revolution > .
Post-WW2 > .
Before the Mongols' rise, the Old World system consisted of isolated imperial systems.
The Pax Mongolica ("Mongol Peace"), less often known as Pax Tatarica ("Tatar Peace"), is a historiographical term modelled after the original phrase Pax Romana which describes the stabilizing effects of the conquests of the Mongol Empire on the social, cultural and economic life of the inhabitants of the vast Eurasian territory that the Mongols conquered in the 13th and 14th centuries. The term is used to describe the eased communication and commerce the unified administration helped to create and the period of relative peace that followed the Mongols' vast conquests.
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At its height, the Mongolian empire stretched from Shanhaiguan in the east to Budapest in the west, from Rus' in the north to Tibet in the south. This meant that an extremely large part of the continent was united under one political authority. As a result, the trade routes used by merchants became safe for travel, resulting in an overall growth and expansion of trade from China in the east to Britain in the west. Thus, the Pax Mongolica greatly influenced many civilizations in Eurasia during the 13th and 14th centuries.
Under the Mongols new technologies and commodities were exchanged across the Old World, particularly Eurasia. Thomas T. Allsen noted many personnel exchanges occurred during the Mongol period. There were many significant developments in economy (especially trade and public finance), military, medicine, agriculture, cuisine, astronomy, printing, geography, and historiography, which were not limited to Eurasia but also included North Africa.
On the Silk Road caravans with Chinese silk; pepper, ginger, cinnamon, and nutmeg came to the West from the Spice Islands via the transcontinental trade routes. Eastern diets were introduced to Europeans as well. Indian muslins, cottons, pearls, and precious stones were sold in Europe, as well as weapons, carpets, and leather goods from Iran. Gunpowder was also introduced to Europe from China.
In the opposite direction, Europeans sent silver, fine cloth, horses, linen, and other goods to the near and far East. Increasing trade and commerce meant that the respective nations and societies increased their exposure to new goods and markets, thus increasing the GDP of each nation or society that was involved in the trade system. Μany of the cities participating in the 13th century world trade system grew rapidly in size.
Along with land trade routes, a Maritime Silk Road contributed to the flow of goods and establishment of a Pax Mongolica. This Maritime Silk Road started with short coastal routes in Southern China. As technology and navigation progressed these routes developed into a high-seas route into the Indian Ocean. Eventually these routes further developed encompassing the Arabian Sea, Persian Gulf, Red Sea, and the sea off East Africa.
Along with tangible goods, people, techniques, information, and ideas moved lucidly across the Eurasian landmass for the first time. For example, John of Montecorvino, archbishop of Beijing founded Roman Catholic missions in India and China and also translated the New Testament into the Mongolian language. Long-distance trade brought new methods of doing business from the far East to Europe; bills of exchange, deposit banking, and insurance were introduced to Europe during the Pax Mongolica. Bills of exchange made it significantly easier to travel long distances because a traveller would not be burdened by the weight of metal coins.
Islamic methods of mathematics, astronomy, and science made their way to Africa, East Asia and Europe during the Pax Mongolica. Methods of paper-making and printing made their way from China to Europe. Mongol elements including the ʼPhags-pa script made numerous appearances in western art (see Mongol elements in Western medieval art). Rudimentary banking systems were established, and money changing and credit extension were common, resulting in large amounts of merchant wealth.
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The conquests of Genghis Khan (r. 1206–1227) and his successors, spanning from Southeast Asia to Eastern Europe, effectively connected the Eastern world with the Western world. The Silk Road, connecting trade centres across Asia and Europe, came under the sole rule of the Mongol Empire. It was commonly said that "a maiden bearing a nugget of gold on her head could wander safely throughout the realm". Despite the political fragmentation of the Mongol Empire into four khanates (Yuan dynasty, Golden Horde, Chagatai Khanate and Ilkhanate), nearly a century of conquest and civil war was followed by relative stability in the early 14th century. The end of the Pax Mongolica was marked by the disintegration of the khanates and the outbreak of the Black Death in Asia which spread along trade routes to much of the world in the mid-14th century.
https://en.wikipedia.org/wiki/Pax_Mongolica
https://en.wikipedia.org/wiki/Silk_Road .
The conquests of Genghis Khan (r. 1206–1227) and his successors, spanning from Southeast Asia to Eastern Europe, effectively connected the Eastern world with the Western world. The Silk Road, connecting trade centres across Asia and Europe, came under the sole rule of the Mongol Empire. It was commonly said that "a maiden bearing a nugget of gold on her head could wander safely throughout the realm". Despite the political fragmentation of the Mongol Empire into four khanates (Yuan dynasty, Golden Horde, Chagatai Khanate and Ilkhanate), nearly a century of conquest and civil war was followed by relative stability in the early 14th century. The end of the Pax Mongolica was marked by the disintegration of the khanates and the outbreak of the Black Death in Asia which spread along trade routes to much of the world in the mid-14th century.
https://en.wikipedia.org/wiki/Pax_Mongolica
https://en.wikipedia.org/wiki/Silk_Road .
Thirlage & Watermills - Scotland
An A to Z of Watermills, Mainly in Ayrshire. Part 1 (A to F) - RoGr > .
An A to Z of Mainly Ayrshire Watermills Part 2 (G to L) - RoGr > .
An A to Z of Mainly Ayrshire Mills Part 3 (M to Z) - RoGr > .
An A to Z of Mainly Ayrshire Watermills Part 2 (G to L) - RoGr > .
An A to Z of Mainly Ayrshire Mills Part 3 (M to Z) - RoGr > .
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Thirlage was a feudal servitude (or astriction) under Scots law restricting manorial tenants in the milling of their grain for personal or other uses. Vassals in a feudal barony were thirled to their local mill owned by the feudal superior. People so thirled were called suckeners and were obliged to pay customary dues for use of the mill and help maintain it.Thirlage was the feudal law by which the laird (superior) could force all those vassals living on his lands to bring their grain to his mill to be ground. The law ensured that all the grain the vassals produced could be measured and thus taxed. Vassals had to carry out repairs on the mill, maintaining the lade and weir as well as conveying new millstones to the site.
An identical feudal astriction existed and was enforced actively in feudal western Europe, e.g. mill soke in England, banalité du moulin in France, banmolen in the Netherlands, Mühlenzwang in Germany.
Trees such as beech and particularly hornbeam were grown as a crop to provide the necessary wood for the mill machinery.
The term thirlage is a metathesis of Scots thrillage ‘thralldom’, derived from thril ‘thrall’, which was a body servant, retainer, or vassal to a noble or chief. The term is interchangeable with Scots carl (or English churl) and indicates subservience to the feudal superior and feudal laws; the situation being close to slavery.
The ‘sucken’ was the area over which a mill held thirlage over tenants and a ‘suckener’ (or ‘in-sucken multurer’) was a tenant thirled to a particular mill. The millers were obliged to enforce the adherence of tenants to the thirlage laws, since the income of the miller was based on that portion of the tenants' grain that the miller was legally entitled to take for the act of milling the grain. The legal term ‘astricted’ was applied to a tenant who was thirled or bonded to a particular mill.[3] The term outsucken was applied to a mill which ground corn from outside its sucken for whatever reason.
Multure (or mulcture), pronounced ‘mooter’, was the name for the mill toll: a fixed proportion of the tenant's grain, paid to the miller by the suckener to grind the corn. The term ‘dry multure’ was often used, indicating the multure that a tenant had to pay, whether the grain was to be ground or not. Failure to take grain to the thirled mill was termed 'abstracted multure' and could result in the suckener being fined. The term 'bannock' denoted the payment to a miller's servant amounting to a handful of meal, in addition to that given as knaveship, this being a handful of cereal from each load milled. After the abolition of thirlage the term 'lick of goodwill' or 'lock' was the term for the miller's payment for grinding the cereal, etc.
The term thirlage is a metathesis of Scots thrillage ‘thralldom’, derived from thril ‘thrall’, which was a body servant, retainer, or vassal to a noble or chief. The term is interchangeable with Scots carl (or English churl) and indicates subservience to the feudal superior and feudal laws; the situation being close to slavery.
The ‘sucken’ was the area over which a mill held thirlage over tenants and a ‘suckener’ (or ‘in-sucken multurer’) was a tenant thirled to a particular mill. The millers were obliged to enforce the adherence of tenants to the thirlage laws, since the income of the miller was based on that portion of the tenants' grain that the miller was legally entitled to take for the act of milling the grain. The legal term ‘astricted’ was applied to a tenant who was thirled or bonded to a particular mill.[3] The term outsucken was applied to a mill which ground corn from outside its sucken for whatever reason.
Multure (or mulcture), pronounced ‘mooter’, was the name for the mill toll: a fixed proportion of the tenant's grain, paid to the miller by the suckener to grind the corn. The term ‘dry multure’ was often used, indicating the multure that a tenant had to pay, whether the grain was to be ground or not. Failure to take grain to the thirled mill was termed 'abstracted multure' and could result in the suckener being fined. The term 'bannock' denoted the payment to a miller's servant amounting to a handful of meal, in addition to that given as knaveship, this being a handful of cereal from each load milled. After the abolition of thirlage the term 'lick of goodwill' or 'lock' was the term for the miller's payment for grinding the cereal, etc.
Grassum was the payment, amounting to a year's rent, for a miller to enter into rights under the law of thirlage. This was a significant sum, and the miller was often forced to insist on his rights of multure to make a reasonable living.
The obligations of thirlage eventually ceased to apply, but thirlage in Scotland was only formally and totally abolished on 28 November (Martinmas) 2004 by the Abolition of Feudal Tenure etc. (Scotland) Act 2000.
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Coldstream Mill near Beith was one of the last operating in Scotland. The remains of mills can be located by the remains of the waterwheels, lades, wheel pits, kilns, dams, weirs, sluices and most often by the millstones. Kaim Hill near Fairlie was a quarry that produced many of Ayrshire's millstones.
Many old lochs were drained when they were no longer required to supply water and this changed the appearance of the countryside. The remains of these lochs often became curling ponds until they were in turn abandoned.
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Coldstream Mill near Beith was one of the last operating in Scotland. The remains of mills can be located by the remains of the waterwheels, lades, wheel pits, kilns, dams, weirs, sluices and most often by the millstones. Kaim Hill near Fairlie was a quarry that produced many of Ayrshire's millstones.
Many old lochs were drained when they were no longer required to supply water and this changed the appearance of the countryside. The remains of these lochs often became curling ponds until they were in turn abandoned.
Russian Authoritarianism - Historic Origins
.Origins of Russian Authoritarianism - Kraut > .
The Golden Horde, self-designated as Ulug Ulus, lit. 'Great State' in Turkic, was originally a Mongol and later Turkicized khanate established in the 13th century and originating as the northwestern sector of the Mongol Empire. With the fragmentation of the Mongol Empire after 1259 it became a functionally separate khanate. It is also known as the Kipchak Khanate or as the Ulus of Jochi.
After the death of Batu Khan (the founder of the Golden Horde) in 1255, his dynasty flourished for a full century, until 1359, though the intrigues of Nogai instigated a partial civil war in the late 1290s. The Horde's military power peaked during the reign of Uzbeg Khan (1312–1341), who adopted Islam. The territory of the Golden Horde at its peak extended from Siberia and Central Asia to parts of Eastern Europe from the Urals to the Danube in the west, and from the Black Sea to the Caspian Sea in the south, while bordering the Caucasus Mountains and the territories of the Mongol dynasty known as the Ilkhanate.
The khanate experienced violent internal political disorder beginning in 1359, before it briefly reunited (1381–1395) under Tokhtamysh. However, soon after the 1396 invasion of Timur, the founder of the Timurid Empire, the Golden Horde broke into smaller Tatar khanates which declined steadily in power. At the start of the 15th century, the Horde began to fall apart. By 1466, it was being referred to simply as the "Great Horde". Within its territories there emerged numerous predominantly Turkic-speaking khanates. These internal struggles allowed the northern vassal state of Muscovy to rid itself of the "Tatar Yoke" at the Great Stand on the Ugra River in 1480. The Crimean Khanate and the Kazakh Khanate, the last remnants of the Golden Horde, survived until 1783 and 1847 respectively.
After the death of Batu Khan (the founder of the Golden Horde) in 1255, his dynasty flourished for a full century, until 1359, though the intrigues of Nogai instigated a partial civil war in the late 1290s. The Horde's military power peaked during the reign of Uzbeg Khan (1312–1341), who adopted Islam. The territory of the Golden Horde at its peak extended from Siberia and Central Asia to parts of Eastern Europe from the Urals to the Danube in the west, and from the Black Sea to the Caspian Sea in the south, while bordering the Caucasus Mountains and the territories of the Mongol dynasty known as the Ilkhanate.
The khanate experienced violent internal political disorder beginning in 1359, before it briefly reunited (1381–1395) under Tokhtamysh. However, soon after the 1396 invasion of Timur, the founder of the Timurid Empire, the Golden Horde broke into smaller Tatar khanates which declined steadily in power. At the start of the 15th century, the Horde began to fall apart. By 1466, it was being referred to simply as the "Great Horde". Within its territories there emerged numerous predominantly Turkic-speaking khanates. These internal struggles allowed the northern vassal state of Muscovy to rid itself of the "Tatar Yoke" at the Great Stand on the Ugra River in 1480. The Crimean Khanate and the Kazakh Khanate, the last remnants of the Golden Horde, survived until 1783 and 1847 respectively.
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