Serious History megathread

[Intellau_Celistic]

Ancient algorithms​

Since antiquity, step-by-step procedures for solving mathematical problems have been attested. This includes Babylonian mathematics (around 2500 BC),[11] Egyptian mathematics (around 1550 BC),[11] Indian mathematics (around 800 BC and later; e.g. Shulba Sutras, Kerala School, and Brāhmasphuṭasiddhānta),[12][13] The Ifa Oracle (around 500 BC), Greek mathematics (around 240 BC, e.g. sieve of Eratosthenes and Euclidean algorithm),[14] and Arabic mathematics (9th century, e.g. cryptographic algorithms for code-breaking based on frequency analysis).[15]

Al-Khwārizmī and the term algorithm​

Around 825, Persian scientist and polymath Muḥammad ibn Mūsā al-Khwārizmī wrote kitāb al-ḥisāb al-hindī ("Book of Indian computation") and kitab al-jam' wa'l-tafriq al-ḥisāb al-hindī ("Addition and subtraction in Indian arithmetic"). Both of these texts are lost in the original Arabic at this time. (However, his other book on algebra remains.)[16]

In the early 12th century, Latin translations of said al-Khwarizmi texts involving the Hindu–Arabic numeral system and arithmetic appeared: Liber Alghoarismi de practica arismetrice (attributed to John of Seville) and Liber Algorismi de numero Indorum (attributed to Adelard of Bath).[17] Hereby, alghoarismi or algorismi is the Latinization of Al-Khwarizmi's name; the text starts with the phrase Dixit Algorismi ("Thus spoke Al-Khwarizmi").[18]

In 1240, Alexander of Villedieu writes a Latin text titled Carmen de Algorismo. It begins with:

Haec algorismus ars praesens dicitur, in qua / Talibus Indorum fruimur bis quinque figuris.

which translates to:

Algorism is the art by which at present we use those Indian figures, which number two times five.

The poem is a few hundred lines long and summarizes the art of calculating with the new styled Indian dice (Tali Indorum), or Hindu numerals.[19]

English evolution of the word​

Around 1230, the English word algorism is attested and then by Chaucer in 1391. English adopted the French term.[20][21]

In the 15th century, under the influence of the Greek word ἀριθμός (arithmos, "number"; cf. "arithmetic"), the Latin word was altered to algorithmus.

In 1656, in the English dictionary Glossographia, it says:[22]

Algorism ([Latin] algorismus) the Art or use of Cyphers, or of numbering by Cyphers; skill in accounting.
Augrime ([Latin] algorithmus) skil in accounting or numbring.

In 1658, in the first edition of The New World of English Words, it says:[23]

Algorithme, (a word compounded of Arabick and Spanish,) the art of reckoning by Cyphers.

In 1706, in the sixth edition of The New World of English Words, it says:[24]

Algorithm, the Art of computing or reckoning by numbers, which contains the five principle Rules of Arithmetick, viz. Numeration, Addition, Subtraction, Multiplication and Division; to which may be added Extraction of Roots: It is also call'd Logistica Numeralis.
Algorism, the practical Operation in the several Parts of Specious Arithmetick or Algebra; sometimes it is taken for the Practice of Common Arithmetick by the ten Numeral Figures.

In 1751, in the Young Algebraist's Companion, Daniel Fenning contrasts the terms algorism and algorithm as follows:[25]

Algorithm signifies the first Principles, and Algorism the practical Part, or knowing how to put the Algorithm in Practice.

Since at least 1811, the term algorithm is attested to mean a "step-by-step procedure" in English.[26][27]

In 1842, in the Dictionary of Science, Literature and Art, it says:

ALGORITHM, signifies the art of computing in reference to some particular subject, or in some particular way; as the algorithm of numbers; the algorithm of the differential calculus.[28]

Machine usage​

Ada Lovelace's diagram from "Note G", the first published computer algorithm
In 1928, a partial formalization of the modern concept of algorithms began with attempts to solve the Entscheidungsproblem (decision problem) posed by David Hilbert. Later formalizations were framed as attempts to define "effective calculability"[29] or "effective method".[30] Those formalizations included the Gödel–Herbrand–Kleene recursive functions of 1930, 1934 and 1935, Alonzo Church's lambda calculus of 1936, Emil Post's Formulation 1 of 1936, and Alan Turing's Turing machines of 1936–37 and 1939.

 

[Intellau_Celistic]

Greek mathematics refers to mathematics texts and ideas stemming from the Archaic through the Hellenistic and Roman periods, mostly from the 5th century BC to the 6th century AD, around the shores of the Mediterranean.[1][2] Greek mathematicians lived in cities spread over the entire region, from Anatolia to Italy and North Africa, but were united by Greek culture and the Greek language.[3] The development of mathematics as a theoretical discipline and the use of deductive reasoning in proofs is an important difference between Greek mathematics and those of preceding civilizations.[4][5]

Indian mathematics emerged in the Indian subcontinent[1] from 1200 BCE[2] until the end of the 18th century. In the classical period of Indian mathematics (400 CE to 1200 CE), important contributions were made by scholars like Aryabhata, Brahmagupta, Bhaskara II, and Varāhamihira. The decimal number system in use today[3] was first recorded in Indian mathematics.[4] Indian mathematicians made early contributions to the study of the concept of zero as a number,[5] negative numbers,[6] arithmetic, and algebra.[7] In addition, trigonometry[8]was further advanced in India, and, in particular, the modern definitions of sine and cosine were developed there.[9] These mathematical concepts were transmitted to the Middle East, China, and Europe[7] and led to further developments that now form the foundations of many areas of mathematics.

Sumerian astronomers studied angle measure, using a division of circles into 360 degrees.[8] They, and later the Babylonians, studied the ratios of the sides of similar triangles and discovered some properties of these ratios but did not turn that into a systematic method for finding sides and angles of triangles. The ancient Nubians used a similar method.[9]

In the 3rd century BC, Hellenistic mathematicians such as Euclid and Archimedes studied the properties of chords and inscribed angles in circles, and they proved theorems that are equivalent to modern trigonometric formulae, although they presented them geometrically rather than algebraically. In 140 BC, Hipparchus (from Nicaea, Asia Minor) gave the first tables of chords, analogous to modern tables of sine values, and used them to solve problems in trigonometry and spherical trigonometry.[10] In the 2nd century AD, the Greco-Egyptian astronomer Ptolemy (from Alexandria, Egypt) constructed detailed trigonometric tables (Ptolemy's table of chords) in Book 1, chapter 11 of his Almagest.[11] Ptolemy used chord length to define his trigonometric functions, a minor difference from the sine convention we use today.[12] (The value we call sin(θ) can be found by looking up the chord length for twice the angle of interest (2θ) in Ptolemy's table, and then dividing that value by two.) Centuries passed before more detailed tables were produced, and Ptolemy's treatise remained in use for performing trigonometric calculations in astronomy throughout the next 1200 years in the medieval Byzantine, Islamic, and, later, Western European worlds.

Leopold Kronecker (German: [ˈkʁoːnɛkɐ]; 7 December 1823 – 29 December 1891) was a German mathematician who worked on number theory, algebra and logic. He criticized Georg Cantor's work on set theory, and was quoted by Weber (1893) as having said, "Die ganzen Zahlen hat der liebe Gott gemacht, alles andere ist Menschenwerk" ("God made the integers, all else is the work of man").[1] Kronecker was a student and life-long friend of Ernst Kummer.

David Hilbert (/ˈhɪlbərt/;[3] German: [ˈdaːvɪt ˈhɪlbɐt]; 23 January 1862 – 14 February 1943) was a German mathematician and one of the most influential mathematicians of the 19th and early 20th centuries. Hilbert discovered and developed a broad range of fundamental ideas including invariant theory, the calculus of variations, commutative algebra, algebraic number theory, the foundations of geometry, spectral theory of operators and its application to integral equations, mathematical physics, and the foundations of mathematics (particularly proof theory).

Hilbert adopted and defended Georg Cantor's set theory and transfinite numbers. In 1900, he presented a collection of problems that set a course for mathematical research of the 20th century.[4][5]

Hilbert and his students contributed to establishing rigor and developed important tools used in modern mathematical physics. Hilbert was one of the founders of proof theory and mathematical logic.[6]

Norbert Wiener (November 26, 1894 – March 18, 1964) was an American computer scientist, mathematician and philosopher. He became a professor of mathematics at the Massachusetts Institute of Technology (MIT). A child prodigy, Wiener later became an early researcher in stochastic and mathematical noise processes, contributing work relevant to electronic engineering, electronic communication, and control systems.

Wiener is considered the originator[4] of cybernetics, the science of communication as it relates to living things and machines,[5]

After much consideration, we have come to the conclusion that all the existing terminology has too heavy a bias to one side or another to serve the future development of the field as well as it should; and as happens so often to scientists, we have been forced to coin at least one artificial neo-Greek expression to fill the gap. We have decided to call the entire field of control and communication theory, whether in the machine or in the animal, by the name Cybernetics, which we form from the Greek κυβερνήτης or steersman.

with implications for engineering, systems control, computer science, biology, neuroscience, philosophy, and the organization of society. His work heavily influenced computer pioneer John von Neumann, information theorist Claude Shannon, anthropologists Margaret Mead and Gregory Bateson, and others.

Norbert Wiener is credited as being one of the first to theorize that all intelligent behavior was the result of feedback mechanisms, that could possibly be simulated by machines and was an important early step towards the development of modern artificial intelligence.[6]

Jules Henri Poincaré (UK: /ˈpwæ̃kɑːreɪ/, US: /ˌpwæ̃kɑːˈreɪ/; French: [ɑ̃ʁi pwɛ̃kaʁe] ⓘ;[1][2][3] 29 April 1854 – 17 July 1912) was a French mathematician, theoretical physicist, engineer, and philosopher of science. He is often described as a polymath, and in mathematics as "The Last Universalist",[4] since he excelled in all fields of the discipline as it existed during his lifetime. Due to his scientific success, influence and his discoveries, he has been deemed "the philosopher par excellence of modern science."[5]

As a mathematician and physicist, he made many original fundamental contributions to pure and applied mathematics, mathematical physics, and celestial mechanics.[6] In his research on the three-body problem, Poincaré became the first person to discover a chaotic deterministic system which laid the foundations of modern chaos theory. He is also considered to be one of the founders of the field of topology.

Poincaré made clear the importance of paying attention to the invariance of laws of physics under different transformations, and was the first to present the Lorentz transformations in their modern symmetrical form. Poincaré discovered the remaining relativistic velocity transformations and recorded them in a letter to Hendrik Lorentz in 1905. Thus he obtained perfect invariance of all of Maxwell's equations, an important step in the formulation of the theory of special relativity. In 1905, Poincaré first proposed gravitational waves (ondes gravifiques) emanating from a body and propagating at the speed of light as being required by the Lorentz transformations.[7] In 1912, he wrote an influential paper which provided a mathematical argument for quantum mechanics.[8][9]

The Poincaré group used in physics and mathematics was named after him.

Early in the 20th century he formulated the Poincaré conjecture that became over time one of the famous unsolved problems in mathematics until it was solved in 2002–2003 by Grigori Perelman.

Leonhard Euler (/ˈɔɪlər/ OY-lər,https://en.wikipedia.org/wiki/Leonhard_Euler#cite_note-7 German: [ˈleːɔnhaʁt ˈʔɔʏlɐ] ⓘ, Swiss Standard German: [ˈleːɔnhart ˈɔʏlər]; 15 April 1707 – 18 September 1783) was a Swiss mathematician, physicist, astronomer, geographer, logician, and engineer who founded the studies of graph theory and topology and made pioneering and influential discoveries in many other branches of mathematics such as analytic number theory, complex analysis, and infinitesimal calculus. He introduced much of modern mathematical terminology and notation, including the notion of a mathematical function.[6] He is also known for his work in mechanics, fluid dynamics, optics, astronomy, and music theory.[7]

Euler is held to be one of the greatest mathematicians in history and the greatest of the 18th century. Several great mathematicians who produced their work after Euler's death have recognised his importance in the field as shown by quotes attributed to many of them: Pierre-Simon Laplace expressed Euler's influence on mathematics by stating, "Read Euler, read Euler, he is the master of us all."[8][c] Carl Friedrich Gauss wrote: "The study of Euler's works will remain the best school for the different fields of mathematics, and nothing else can replace it."[9][d] Euler is also widely considered to be the most prolific; his 866 publications as well as his correspondences are being collected in the Opera Omnia Leonhard Euler which, when completed, will consist of 81 quarto volumes.[11][12][13] He spent most of his adult life in Saint Petersburg, Russia, and in Berlin, then the capital of Prussia.

Euler is credited for popularizing the Greek letter π

(lowercase pi) to denote the ratio of a circle's circumference to its diameter, as well as first using the notation f ( x )

for the value of a function, the letter i

to express the imaginary unit − 1

, the Greek letter Σ

(capital sigma) to express summations, the Greek letter Δ

(capital delta) for finite differences, and lowercase letters to represent the sides of a triangle while representing the angles as capital letters.[14] He gave the current definition of the constant e

, the base of the natural logarithm, now known as Euler's number.[15]

Georg Ferdinand Ludwig Philipp Cantor (/ˈkæntɔːr/ KAN-tor, German: [ˈɡeːɔʁk ˈfɛʁdinant ˈluːtvɪç ˈfiːlɪp ˈkantɔʁ]; 3 March [O.S. 19 February] 1845 – 6 January 1918[1]) was a mathematician who played a pivotal role in the creation of set theory, which has become a fundamental theory in mathematics. Cantor established the importance of one-to-one correspondence between the members of two sets, defined infinite and well-ordered sets, and proved that the real numbers are more numerous than the natural numbers. Cantor's method of proof of this theorem implies the existence of an infinity of infinities. He defined the cardinal and ordinal numbers and their arithmetic. Cantor's work is of great philosophical interest, a fact he was well aware of.[2]

Originally, Cantor's theory of transfinite numbers was regarded as counter-intuitive – even shocking. This caused it to encounter resistance from mathematical contemporaries such as Leopold Kronecker and Henri Poincaré[3] and later from Hermann Weyl and L. E. J. Brouwer, while Ludwig Wittgenstein raised philosophical objections; see Controversy over Cantor's theory. Cantor, a devout Lutheran Christian,[4] believed the theory had been communicated to him by God.[5] Some Christian theologians (particularly neo-Scholastics) saw Cantor's work as a challenge to the uniqueness of the absolute infinity in the nature of God[6] – on one occasion equating the theory of transfinite numbers with pantheism[7] – a proposition that Cantor vigorously rejected. Not all theologians were against Cantor's theory; prominent neo-scholastic philosopher Constantin Gutberlet was in favor of it and Cardinal Johann Baptist Franzelin accepted it as a valid theory (after Cantor made some important clarifications).[8]

The objections to Cantor's work were occasionally fierce: Leopold Kronecker's public opposition and personal attacks included describing Cantor as a "scientific charlatan", a "renegade" and a "corrupter of youth".[9] Kronecker objected to Cantor's proofs that the algebraic numbers are countable, and that the transcendental numbers are uncountable, results now included in a standard mathematics curriculum. Writing decades after Cantor's death, Wittgenstein lamented that mathematics is "ridden through and through with the pernicious idioms of set theory", which he dismissed as "utter nonsense" that is "laughable" and "wrong".[10] Cantor's recurring bouts of depression from 1884 to the end of his life have been blamed on the hostile attitude of many of his contemporaries,[11] though some have explained these episodes as probable manifestations of a bipolar disorder.[12]

The harsh criticism has been matched by later accolades. In 1904, the Royal Society awarded Cantor its Sylvester Medal, the highest honor it can confer for work in mathematics.[13] David Hilbert defended it from its critics by declaring, "No one shall expel us from the paradise that Cantor has created."[14][15]

Johann Carl Friedrich Gauss (/ɡaʊs/; German: Gauß, pronounced [ɡaʊs] ⓘ; Latin: Carolus Fridericus Gauss) (30 April 1777 – 23 February 1855) was a German mathematician who contributed significantly to many fields, including number theory, algebra, statistics, analysis, differential geometry, geodesy, geophysics, electrostatics, astronomy, matrix theory, and optics.

Sometimes referred to as the Princeps mathematicorum[4] (Latin, "the Prince of Mathematicians" or "the foremost of mathematicians") and "greatest mathematician since antiquity", Gauss had a remarkable influence in many fields of mathematics and science and is ranked as one of history's most influential mathematicians.[5]

Julius Wilhelm Richard Dedekind [ˈdeːdəˌkɪnt] (6 October 1831 – 12 February 1916) was a German mathematician who made important contributions to number theory, abstract algebra (particularly ring theory), andthe axiomatic foundations of arithmetic. His best known contribution is the definition of real numbers through the notion of Dedekind cut. He is also considered a pioneer in the development of modern set theory and of the philosophy of mathematics known as Logicism.

Giuseppe Peano (/piˈɑːnoʊ/;[1] Italian: [dʒuˈzɛppe peˈaːno]; 27 August 1858 – 20 April 1932) was an Italian mathematician and glottologist. The author of over 200 books and papers, he was a founder of mathematical logic and set theory, to which he contributed much notation. The standard axiomatization of the natural numbers is named the Peano axioms in his honor. As part of this effort, he made key contributions to the modern rigorous and systematic treatment of the method of mathematical induction. He spent most of his career teaching mathematics at the University of Turin. He also wrote an international auxiliary language, Latino sine flexione ("Latin without inflections"), which is a simplified version of Classical Latin. Most of his books and papers are in Latino sine flexione, while others are in Italian.

Bertrand Arthur William Russell, 3rd Earl Russell, OM, FRS[7] (18 May 1872 – 2 February 1970) was a British mathematician, philosopher, and public intellectual. He had influence on mathematics, logic, set theory, and various areas of analytic philosophy.[8]

He was one of the early 20th century's prominent logicians[8] and a founder of analytic philosophy, along with his predecessor Gottlob Frege, his friend and colleague G. E. Moore, and his student and protégé Ludwig Wittgenstein. Russell with Moore led the British "revolt against idealism".https://en.wikipedia.org/wiki/Bertrand_Russell#cite_note-11 Together with his former teacher A. N. Whitehead, Russell wrote Principia Mathematica, a milestone in the development of classical logic and a major attempt to reduce the whole of mathematics to logic (see Logicism). Russell's article "On Denoting" has been considered a "paradigm of philosophy".[10]

Russell was a pacifist who championed anti-imperialism and chaired the India League.[11][12][13] He went to prison for his pacifism during World War I,[14] and initially supported appeasement against Adolf Hitler's Nazi Germany, before changing his view in 1943, describing war as a necessary "lesser of two evils". In the wake of World War II, he welcomed American global hegemony in favour of either Soviet hegemony or no (or ineffective) world leadership, even if it were to come at the cost of using their nuclear weapons.[15] He would later criticise Stalinist totalitarianism, condemn the United States' involvement in the Vietnam War, and become an outspoken proponent of nuclear disarmament.[16]

In 1950, Russell was awarded the Nobel Prize in Literature "in recognition of his varied and significant writings in which he champions humanitarian ideals and freedom of thought".[17][18] He was also the recipient of the De Morgan Medal (1932), Sylvester Medal (1934), Kalinga Prize (1957), and Jerusalem Prize (1963).

Georg Friedrich Bernhard Riemann (German: [ˈɡeːɔʁk ˈfʁiːdʁɪç ˈbɛʁnhaʁt ˈʁiːman] ⓘ;[1][2] 17 September 1826 – 20 July 1866) was a German mathematician who made profound contributions to analysis, number theory, and differential geometry. In the field of real analysis, he is mostly known for the first rigorous formulation of the integral, the Riemann integral, and his work on Fourier series. His contributions to complex analysis include most notably the introduction of Riemann surfaces, breaking new ground in a natural, geometric treatment of complex analysis. His 1859 paper on the prime-counting function, containing the original statement of the Riemann hypothesis, is regarded as a foundational paper of analytic number theory. Through his pioneering contributions to differential geometry, Riemann laid the foundations of the mathematics of general relativity.[3] He is considered by many to be one of the greatest mathematicians of all time.[4][5]

Bernoulli FRS (/bɜːrˈnuːli/ bur-NOO-lee, Swiss Standard German: [ˈdaːni̯eːl bɛrˈnʊli];[1] 8 February [O.S. 29 January] 1700 – 27 March 1782[2]) was a Swiss mathematician and physicist[2] and was one of the many prominent mathematicians in the Bernoulli family from Basel. He is particularly remembered for his applications of mathematics to mechanics, especially fluid mechanics, and for his pioneering work in probability and statistics.[3] His name is commemorated in the Bernoulli's principle, a particular example of the conservation of energy, which describes the mathematics of the mechanism underlying the operation of two important technologies of the 20th century: the carburetor and the aeroplane wing.[4][5]

 

[Intellau_Celistic]

Augusta Ada King, Countess of Lovelace (née Byron; 10 December 1815 – 27 November 1852) was an English mathematician and writer, chiefly known for her work on Charles Babbage's proposed mechanical general-purpose computer, the Analytical Engine. She was the first to recognise that the machine had applications beyond pure calculation.

Ada Byron was the only legitimate child of poet Lord Byron and reformer Anne Isabella Milbanke.[2] All Lovelace's half-siblings, Lord Byron's other children, were born out of wedlock to other women.[3] Byron separated from his wife a month after Ada was born and left England forever. He died in Greece when Ada was eight. Her mother was anxious about her upbringing and promoted Ada's interest in mathematics and logic in an effort to prevent her from developing her father's perceived insanity. Despite this, Ada remained interested in him, naming her two sons Byron and Gordon. Upon her death, she was buried next to him at her request. Although often ill in her childhood, Ada pursued her studies assiduously. She married William King in 1835. King was made Earl of Lovelace in 1838, Ada thereby becoming Countess of Lovelace.

Her educational and social exploits brought her into contact with scientists such as Andrew Crosse, Charles Babbage, Sir David Brewster, Charles Wheatstone, Michael Faraday, and the author Charles Dickens, contacts which she used to further her education. Ada described her approach as "poetical science"[4] and herself as an "Analyst (& Metaphysician)".[5]

When she was eighteen, her mathematical talents led her to a long working relationship and friendship with fellow British mathematician Charles Babbage, who is known as "the father of computers". She was in particular interested in Babbage's work on the Analytical Engine. Lovelace first met him on 5 June 1833, when she and her mother attended one of Charles Babbage's Saturday night soirées[6] with their mutual friend, and Ada's private tutor, Mary Somerville.

Between 1842 and 1843, Ada translated an article by the military engineer Luigi Menabrea (later Prime Minister of Italy) about the Analytical Engine, supplementing it with an elaborate set of seven notes, simply called "Notes".

Lovelace's notes are important in the early history of computers, especially since the seventh one contained what many consider to be the first computer program—that is, an algorithm designed to be carried out by a machine. Other historians reject this perspective and point out that Babbage's personal notes from 1837 to 1840 contain the first programs for the engine.[7][8][9] She also developed a vision of the capability of computers to go beyond mere calculating or number-crunching, while many others, including Babbage himself, focused only on those capabilities.[10] Her mindset of "poetical science" led her to ask questions about the Analytical Engine (as shown in her notes) examining how individuals and society relate to technology as a collaborative tool.

George Gordon Byron, 6th Baron Byron FRS (22 January 1788 – 19 April 1824) was an English poet and peer.[1][2] He is one of the major figures of the Romantic movement,[3][4][5] and is regarded as being among the greatest of English poets.[6] Among his best-known works are the lengthy narratives Don Juan and Childe Harold's Pilgrimage; much of his shorter lyrics in Hebrew Melodies also became popular.

Byron was educated at Trinity College, Cambridge, before he travelled extensively across Europe to such places as Italy, where he lived for seven years in Venice, Ravenna, and Pisa after he was forced to flee England due to threats of lynching.[7] During his stay in Italy, he would frequently visit his friend and fellow poet Percy Bysshe Shelley.[8] Later in life, Byron joined the Greek War of Independence to fight the Ottoman Empire, and died leading a campaign during that war, for which Greeks revere him as a folk hero.[9] He died in 1824, at the age of 36, from a fever contracted after the first and second sieges of Missolonghi.

His one child conceived within marriage, Ada Lovelace, was a founding figure in the field of computer programming based on her notes for Charles Babbage's Analytical Engine.[10][11][12] Byron's extramarital children include Allegra Byron, who passed away in childhood, and possibly Elizabeth Medora Leigh, daughter of his half-sister Augusta Leigh.

Charles Babbage KH FRS (/ˈbæbɪdʒ/; 26 December 1791 – 18 October 1871) was an English polymath.[1] A mathematician, philosopher, inventor and mechanical engineer, Babbage originated the concept of a digital programmable computer.[2]

Babbage is considered by some to be "father of the computer".[2][3][4][5] He is credited with inventing the first mechanical computer, the Difference Engine, that eventually led to more complex electronic designs, though all the essential ideas of modern computers are to be found in his Analytical Engine, programmed using a principle openly borrowed from the Jacquard loom.[2][6] Babbage had a broad range of interests in addition to his work on computers covered in his 1832 book Economy of Manufactures and Machinery.[7] He was an important figure in the social scene in London, and is credited with importing the "scientific soirée" from France with his well-attended Saturday evening soirées.[8][9] His varied work in other fields has led him to be described as "pre-eminent" among the many polymaths of his century.[1]

Babbage, who died before the complete successful engineering of many of his designs, including his Difference Engine and Analytical Engine, remained a prominent figure in the ideating of computing. Parts of his incomplete mechanisms are on display in the Science Museum in London. In 1991, a functioning difference engine was constructed from the original plans. Built to tolerances achievable in the 19th century, the success of the finished engine indicated that Babbage's machine would have worked.

Euclid (/ˈjuːklɪd/; Greek: Εὐκλείδης; fl. 300 BC) was an ancient Greek mathematician active as a geometer and logician.[2] Considered the "father of geometry",[3] he is chiefly known for the Elements treatise, which established the foundations of geometry that largely dominated the field until the early 19th century. His system, now referred to as Euclidean geometry, involved new innovations in combination with a synthesis of theories from earlier Greek mathematicians, including Eudoxus of Cnidus, Hippocrates of Chios, and Theaetetus. With Archimedes and Apollonius of Perga, Euclid is generally considered among the greatest mathematicians of antiquity, and one of the most influential in the history of mathematics.

Very little is known of Euclid's life, and most information comes from the scholars Proclus and Pappus of Alexandria many centuries later. Medieval Islamic mathematicians invented a fanciful biography, and medieval Byzantine and early Renaissance scholars mistook him for the earlier philosopher Euclid of Megara. It is now generally accepted that he spent his career in Alexandria and lived around 300 BC, after Plato's students and before Archimedes. There is some speculation that Euclid studied at the Platonic Academy and later taught at the Musaeum; he is regarded as bridging the earlier Platonic tradition in Athens with the later tradition of Alexandria.

In the Elements, Euclid deduced the theorems from a small set of axioms. He also wrote works on perspective, conic sections, spherical geometry, number theory, and mathematical rigour. In addition to the Elements, Euclid wrote a central early text in the optics field, Optics, and lesser-known works including Data and Phaenomena. Euclid's authorship of two other texts—On Divisions of Figures, Catoptrics—has been questioned. He is thought to have written many now lost works.

Blaise Pascal (/pæˈskæl/ pass-KAL, also UK: /-ˈskɑːl, ˈpæskəl, -skæl/ -⁠KAHL, PASS-kəl, -⁠kal, US: /pɑːˈskɑːl/ pahs-KAHL;[3][4][5][6][7] French: [blɛz paskal]; 19 June 1623 – 19 August 1662) was a French mathematician, physicist, inventor, philosopher, and Catholic writer.

Pascal was a child prodigy who was educated by his father, a tax collector in Rouen. His earliest mathematical work was on conic sections; he wrote a significant treatise on the subject of projective geometry at the age of 16. He later corresponded with Pierre de Fermat on probability theory, strongly influencing the development of modern economics and social science. In 1642, he started some pioneering work on calculating machines (called Pascal's calculators and later Pascalines), establishing him as one of the first two inventors of the mechanical calculator.[8][9]

Like his contemporary René Descartes, Pascal was also a pioneer in the natural and applied sciences. Pascal wrote in defense of the scientific method and produced several controversial results. He made important contributions to the study of fluids, and clarified the concepts of pressure and vacuum by generalising the work of Evangelista Torricelli. Following Torricelli and Galileo Galilei, he rebutted the likes of Aristotle and Descartes who insisted that nature abhors a vacuum in 1647.

In 1646, he and his sister Jacqueline identified with the religious movement within Catholicism known by its detractors as Jansenism.[10] Following a religious experience in late 1654, he began writing influential works on philosophy and theology. His two most famous works date from this period: the Lettres provinciales and the Pensées, the former set in the conflict between Jansenists and Jesuits. The latter contains Pascal's wager, known in the original as the Discourse on the Machine,[11][12] a fideistic probabilistic argument for God's existence. In that year, he also wrote an important treatise on the arithmetical triangle. Between 1658 and 1659, he wrote on the cycloid and its use in calculating the volume of solids.

 

[Intellau_Celistic]

In 1979, Bjarne Stroustrup, a Danish computer scientist, began work on "C with Classes", the predecessor to C++.[21] The motivation for creating a new language originated from Stroustrup's experience in programming for his PhD thesis. Stroustrup found that Simula had features that were very helpful for large software development, but the language was too slow for practical use, while BCPL was fast but too low-level to be suitable for large software development. When Stroustrup started working in AT&T Bell Labs, he had the problem of analyzing the UNIX kernel with respect to distributed computing. Remembering his PhD experience, Stroustrup set out to enhance the C language with Simula-like features.[22] C was chosen because it was general-purpose, fast, portable, and widely used. In addition to C and Simula's influences, other languages influenced this new language, including ALGOL 68, Ada, CLU, and ML.[citation needed]

Initially, Stroustrup's "C with Classes" added features to the C compiler, Cpre, including classes, derived classes, strong typing, inlining, and default arguments.[23]

A quiz on C++11 features being given in Paris in 2015
In 1982, Stroustrup started to develop a successor to C with Classes, which he named "C++" (++ being the increment operator in C) after going through several other names. New features were added, including virtual functions, function name and operator overloading, references, constants, type-safe free-store memory allocation (new/delete), improved type checking, and BCPL-style single-line comments with two forward slashes (//). Furthermore, Stroustrup developed a new, standalone compiler for C++, Cfront.

In 1984, Stroustrup implemented the first stream input/output library. The idea of providing an output operator rather than a named output function was suggested by Doug McIlroy[2] (who had previously suggested Unix pipes).

In 1985, the first edition of The C++ Programming Language was released, which became the definitive reference for the language, as there was not yet an official standard.[24] The first commercial implementation of C++ was released in October of the same year.[21]

In 1989, C++ 2.0 was released, followed by the updated second edition of The C++ Programming Language in 1991.[25] New features in 2.0 included multiple inheritance, abstract classes, static member functions, const member functions, and protected members. In 1990, The Annotated C++ Reference Manual was published. This work became the basis for the future standard. Later feature additions included templates, exceptions, namespaces, new casts, and a Boolean type.

In 1998, C++98 was released, standardizing the language, and a minor update (C++03) was released in 2003.

 

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Nokia Bell Labs, originally named Bell Telephone Laboratories (1925–1984),[1]then AT&T Bell Laboratories (1984–1996)[2]and Bell Labs Innovations (1996–2007),[3]is an American industrial research and scientific development company owned by Finnish company Nokia. It is headquartered in Murray Hill, New Jersey, and operates a global network of laboratories.

Researchers working at Bell Laboratories are credited with the development of radio astronomy, the transistor, the laser, the photovoltaic cell, the charge-coupled device (CCD), information theory, the Unix operating system, and the programming languages B, C, C++, S, SNOBOL, AWK, AMPL, and others. Ten Nobel Prizes have been awarded for work completed at Bell Laboratories.[4]

Bell Labs had its origin in the complex corporate organization of the Bell System telephone conglomerate. The laboratory began in the late 19th century as the Western Electric Engineering Department, located at 463 West Street in New York City. After years of conducting research and development under Western Electric, a Bell subsidiary, the Engineering Department was reformed into Bell Telephone Laboratories in 1925 and placed under the shared ownership of Western Electric and the American Telephone and Telegraph Company (AT&T). In the 1960s, laboratory and company headquarters were moved to New Jersey. Nokia acquired Bell Labs in 2016 as part of its acquisition of Alcatel-Lucent.

C (pronounced /ˈsiː/ – like the letter c)[6] is a general-purpose computer programming language. It was created in the 1970s by Dennis Ritchie, and remains very widely used and influential. By design, C's features cleanly reflect the capabilities of the targeted CPUs. It has found lasting use in operating systems, device drivers, and protocol stacks, but its use in application software has been decreasing.[7] C is commonly used on computer architectures that range from the largest supercomputers to the smallest microcontrollers and embedded systems.

A successor to the programming language B, C was originally developed at Bell Labs by Ritchie between 1972 and 1973 to construct utilities running on Unix. It was applied to re-implementing the kernel of the Unix operating system.[8] During the 1980s, C gradually gained popularity. It has become one of the most widely used programming languages,[9][10] with C compilers available for practically all modern computer architectures and operating systems. The book The C Programming Language, co-authored by the original language designer, served for many years as the de facto standard for the language.[11][1] C has been standardized since 1989 by the American National Standards Institute (ANSI) and the International Organization for Standardization (ISO).

C is an imperative procedural language, supporting structured programming, lexical variable scope, and recursion, with a static type system. It was designed to be compiled to provide low-level access to memory and language constructs that map efficiently to machine instructions, all with minimal runtime support. Despite its low-level capabilities, the language was designed to encourage cross-platform programming. A standards-compliant C program written with portability in mind can be compiled for a wide variety of computer platforms and operating systems with few changes to its source code.[12]

Since 2000, C has consistently ranked among the top two languages in the TIOBE index, a measure of the popularity of programming languages.[13]

During the late 1970s and 1980s, versions of C were implemented for a wide variety of mainframe computers, minicomputers, and microcomputers, including the IBM PC, as its popularity began to increase significantly.

In 1983, the American National Standards Institute (ANSI) formed a committee, X3J11, to establish a standard specification of C. X3J11 based the C standard on the Unix implementation; however, the non-portable portion of the Unix C library was handed off to the IEEE working group 1003 to become the basis for the 1988 POSIX standard. In 1989, the C standard was ratified as ANSI X3.159-1989 "Programming Language C". This version of the language is often referred to as ANSI C, Standard C, or sometimes C89.

In 1990, the ANSI C standard (with formatting changes) was adopted by the International Organization for Standardization (ISO) as ISO/IEC 9899:1990, which is sometimes called C90. Therefore, the terms "C89" and "C90" refer to the same programming language.

ANSI, like other national standards bodies, no longer develops the C standard independently, but defers to the international C standard, maintained by the working group ISO/IEC JTC1/SC22/WG14. National adoption of an update to the international standard typically occurs within a year of ISO publication.

One of the aims of the C standardization process was to produce a superset of K&R C, incorporating many of the subsequently introduced unofficial features. The standards committee also included several additional features such as function prototypes (borrowed from C++), void pointers, support for international character sets and locales, and preprocessor enhancements. Although the syntax for parameter declarations was augmented to include the style used in C++, the K&R interface continued to be permitted, for compatibility with existing source code.

C89 is supported by current C compilers, and most modern C code is based on it. Any program written only in Standard C and without any hardware-dependent assumptions will run correctly on any platform with a conforming C implementation, within its resource limits. Without such precautions, programs may compile only on a certain platform or with a particular compiler, due, for example, to the use of non-standard libraries, such as GUI libraries, or to a reliance on compiler- or platform-specific attributes such as the exact size of data types and byte endianness.

In cases where code must be compilable by either standard-conforming or K&R C-based compilers, the __STDC__ macro can be used to split the code into Standard and K&R sections to prevent the use on a K&R C-based compiler of features available only in Standard C.

After the ANSI/ISO standardization process, the C language specification remained relatively static for several years. In 1995, Normative Amendment 1 to the 1990 C standard (ISO/IEC 9899/AMD1:1995, known informally as C95) was published, to correct some details and to add more extensive support for international character sets.[22]

 

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Taiwan,[II][k] officially the Republic of China (ROC),https://en.wikipedia.org/wiki/Taiwan#cite_note-word1-1[l] is a country[27] in East Asia.[o]It is located at the junction of the East and South China Seas in the northwestern Pacific Ocean, with the People's Republic of China (PRC) to the northwest, Japan to the northeast, and the Philippines to the south. The territories controlled by the ROC consist of 168 islands[p] with a combined area of 36,193 square kilometres (13,974 square miles).[17][39] The main island of Taiwan, also known as Formosa, has an area of 35,808 square kilometres (13,826 square miles), with mountain ranges dominating the eastern two-thirds and plains in the western third, where its highly urbanized population is concentrated. The capital, Taipei, forms along with New Taipei City and Keelung the largest metropolitan area. With around 23.9 million inhabitants, Taiwan is among the most densely populated countries.

Taiwan has been settled for at least 25,000 years. Ancestors of Taiwanese indigenous peoples settled the island around 6,000 years ago. In the 17th century, large-scale Han Chinese immigration began under a Dutch colony and continued under the Kingdom of Tungning, the first predominantly Han Chinese state in Taiwanese history. The island was annexed in 1683 by the Qing dynasty of China and ceded to the Empire of Japan in 1895. The Republic of China, which had overthrown the Qing in 1912, took control following the surrender of Japan in 1945.[q] Japan renounced sovereignty over Taiwan in 1952. The immediate resumption of the Chinese Civil War resulted in the loss of the Chinese mainland to Communist forces, who established the People's Republic of China, and the flight of the ROC central government to Taiwan in 1949. The effective jurisdiction of the ROC has since been limited to Taiwan, Penghu, and smaller islands.

In the early 1960s, Taiwan entered a period of rapid economic growth and industrialization called the "Taiwan Miracle".[40] In the late 1980s and early 1990s, the ROC transitioned from a one-party state under martial law to a multi-party democracy, with democratically elected presidents since 1996. Taiwan's export-oriented industrial economy is the 21st-largest in the world by nominal GDP and the 20th-largest by PPP measures, with a focus on steel, machinery, electronics, and chemicals manufacturing. Taiwan is a developed country.[41][42] It is ranked highly in terms of civil liberties,[43] healthcare,[44] and human development.[j][22]

The political status of Taiwan is contentious.[49] The ROC no longer represents China as a member of the United Nations after UN members voted in 1971 to recognize the PRC instead.[50] The ROC maintained its claim of being the sole legitimate representative of China and its territory until 1991, when it ceased to regard the CCP as a rebellious group and recognized its control over mainland China.[51] Taiwan is claimed by the PRC, which refuses to establish diplomatic relations with countries that recognise the ROC. Taiwan maintains official diplomatic relations with 11 out of 193 UN member states and the Holy See.[52] Many others maintain unofficial diplomatic ties through representative offices and institutions that function as de facto embassies and consulates. International organizations in which the PRC participates either refuse to grant membership to Taiwan or allow it to participate on a non-state basis. Domestically, the major political contention is between parties favoring eventual Chinese unification and promoting a pan-Chinese identity, contrasted with those aspiring to formal international recognition and promoting a Taiwanese identity; into the 21st century, both sides have moderated their positions to broaden their appeal.[53][54]

Han Taiwanese,[3][4][5][page needed][6] Taiwanese Han[7][8] (Chinese: 臺灣漢人[9][10]), Taiwanese Han Chinese,[11] or Han Chinese[12][13] are Taiwanese people of full or partial ethnic Han ancestry.[14][15][16][17] According to the Executive Yuan of Taiwan, they comprise 95[2] to 97[18] percent of the Taiwanese population, which also includes Austronesians and other non-Han people.[19] Major waves of Han immigration occurred since the 17th century to the end of Chinese Civil War in 1949, with the exception of the Japanese colonial period (1895–1945).[19] Han Taiwanese mainly speak three languages of Chinese: Mandarin, Hokkien and Hakka.[20][21]

Sinocentrism refers to the worldview that China is the cultural, political, or economic center of the world.[1]

Sinocentrism was a core concept in various Chinese dynasties. The Chinese considered themselves to be "all-under-Heaven", ruled by the emperor, known as Son of Heaven. Those that lived outside of the Huaxia were regarded as "barbarians". In addition, states outside of China, such as Japan or Korea, were considered to be vassals of China.[2] However, the concept of Sinocentrism became unpopular following the humiliation of China by Western and Japanese powers in the 19th century.

 

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The Government of the Republic of China[note 1] is the national government of the Republic of China (ROC) whose de facto territory currently consists of Taiwan, Penghu, Kinmen, Matsu, and other island groups in the "free area". Governed by the Democratic Progressive Party (DPP) since 2016, the president is the head of state. The government consists of the presidency and five branches (Yuan): the Executive Yuan, Legislative Yuan, Judicial Yuan, Examination Yuan, and Control Yuan.

Originally established in 1912 in Nanking, the Government of the Republic of China relocated several times before finally moving to Taipei, Taiwan, in 1949 because of its military losses in the Chinese Civil War. Up until the 1990s, the government has historically been dominated by the Kuomintang (KMT) under the one-party state Dang Guo authoritarian regime, before evolving into a multi-party democracy after martial law and the climate of White Terror gradually ended. This government was the internationally recognized official government of China until 1971 by the United Nations and until 1979 by the United States.

"Mainland China", also referred to as "the Chinese mainland", is a geopolitical term defined as the territory under direct administration of the Chinese Communist government of the People's Republic of China (PRC) in the aftermath of the Chinese Civil War. In addition to the geographical mainland, the geopolitical sense of the term includes islands such as Hainan, Chongming, and Zhoushan.[1] By convention, territories outside of mainland China include:

• Special administrative regions of the PRC, which are regarded as subdivisions of the country, but retain distinct administrative, judicial and economic systems from those on the mainland:[2][3][4]
  • Hong Kong, formerly a British colony prior to 1997
  • Macau, formerly a Portuguese colony prior to 1999

• Territories administered by the Republic of China (ROC), which legally defined as “Free Area” by the ROC, include the island of Taiwan and the Penghu islands in the Taiwan Strait, along with the Kinmen and Matsu islands off the coast of Fujian.

The term is widely used in all of the above territories as well as internationally, including by many Overseas Chinese communities.

The retreat of the government of Republic of China to Taiwan (Chinese: 中華民國政府遷臺), also known as the Kuomintang's retreat to Taiwan or the Great Retreat (Chinese: 大撤退) in Taiwan, refers to the exodus of the remnants of the then-internationally-recognized Kuomintang-ruled government of the Republic of China (ROC) to the island of Taiwan (Formosa) on December 7, 1949, after losing the Chinese Civil War in the Chinese mainland. The Kuomintang (Chinese Nationalist Party), its officers, and approximately 2 million ROC troops took part in the retreat, in addition to many civilians and refugees, fleeing the advance of the People's Liberation Army of the Chinese Communist Party (CCP). The CCP, who now effectively controlled most of Mainland China, spent the subsequent years purging any remnant Nationalist agents and bandits in western and southern China, solidifying the rule of the newly established People's Republic of China.

ROC troops mostly fled to Taiwan from provinces in southern China, in particular Sichuan Province, where the last stand of the ROC's main army took place. The flight to Taiwan took place over four months after Mao Zedong had proclaimed the founding of the People's Republic of China (PRC) in Beijing on October 1, 1949.[1] The island of Taiwan remained part of Japan during the occupation until Japan severed its territorial claims in the Treaty of San Francisco, which came into effect in 1952.

After the retreat, the leadership of the ROC, particularly Generalissimo and President Chiang Kai-shek, planned to make the retreat only temporary, hoping to regroup, fortify, and reconquer the mainland.[1] This plan, which never came into fruition, was known as "Project National Glory", and made the national priority of the ROC on Taiwan. Once it became apparent that such a plan could not be realized, the ROC's national focus shifted to the modernization and economic development of Taiwan. The ROC, however, continues to officially claim exclusive sovereignty over the now-CCP-governed mainland China. As the ROC does not recognize any border agreements made by the PRC, it also technically claims Mongolia as well as parts of Russia, India, Myanmar, Pakistan, Bhutan, Afghanistan, and Tajikistan. (Both the ROC and PRC also claim the Diaoyu/Senkaku islands administered by Japan.)[2][3][4]

The Chinese Civil War was fought between the Kuomintang-led government of the Republic of China and the forces of the Chinese Communist Party, with armed conflict continuing intermittently from 1 August 1927 until 7 December 1949, resulting in a Communist victory and control of mainland China in the Chinese Communist Revolution.

The war is generally divided into the First Kuomintang-Communist Civil War and the Second Kuomintang-Communist Civil War with an interlude: from August 1927 to 1937, the KMT–CCP Alliance collapsed during the Northern Expedition, and the Nationalists controlled most of China. From 1937 to 1945, hostilities were mostly put on hold as the Second United Front fought the Japanese invasion of China with eventual help from the Allies of World War II, although co-operation between the KMT and CCP during this time was minimal and armed clashes between the groups were common. Exacerbating the divisions within China further was the formation of a puppet government, sponsored by Japan and ostensibly led by Wang Jingwei, which was established to nominally govern the regions of China that came under Japanese occupation.

The civil war resumed as soon as it became apparent that Japanese defeat was imminent, with the communists gaining the upper hand in the second phase of the war from 1945 to 1949.

The Communists gained control of mainland China and proclaimed the People's Republic of China in 1949, forcing the leadership of the Republic of China to retreat to the island of Taiwan.[13] Starting in the 1950s, a lasting political and military standoff between the two sides of the Taiwan Strait has ensued, with the ROC in Taiwan and the PRC in mainland China both claiming to be the legitimate government of all China. After the Second Taiwan Strait Crisis, both tacitly ceased to engage in open conflict in 1979; however, no armistice or peace treaty has ever been signed.[14]

Tibet (/tɪˈbɛt/ ⓘ; Tibetan: བོད, Lhasa dialect: [pʰøːʔ˨˧˩] Böd; Chinese: 西藏; pinyin: Xīzàng), or Greater Tibet, is a region in the central part of East Asia, covering much of the Tibetan Plateau and spanning about 2,500,000 km2 (970,000 sq mi). It is the homeland of the Tibetan people. Also resident on the plateau are some other ethnic groups such as the Monpa, Tamang, Qiang, Sherpa and Lhoba peoples and, since the 20th century, considerable numbers of Han Chinese and Hui settlers. Since the annexation of Tibet by the People's Republic of China in 1951, the entire plateau has been under the administration of the People's Republic of China. Tibet is divided administratively into the Tibet Autonomous Region, and parts of the Qinghai and Sichuan provinces. Tibet is also constitutionally claimed by the Republic of China as the Tibet Area since 1912. Tibet is the highest region on Earth, with an average elevation of 4,380 m (14,000 ft).[1][2] Located in the Himalayas, the highest elevation in Tibet is Mount Everest, Earth's highest mountain, rising 8,848.86 m (29,032 ft) above sea level.[3]

The Tibetan Empire emerged in the 7th century. At its height in the 9th century, the Tibetan Empire extended far beyond the Tibetan Plateau, from the Tarim Basin and Pamirs in the west, to Yunnan and Bengal in the southeast. It then divided into a variety of territories. The bulk of western and central Tibet (Ü-Tsang) was often at least nominally unified under a series of Tibetan governments in Lhasa, Shigatse, or nearby locations. The eastern regions of Kham and Amdo often maintained a more decentralized indigenous political structure, being divided among a number of small principalities and tribal groups, while also often falling under Chinese rule; most of this area was eventually annexed into the Chinese provinces of Sichuan and Qinghai. The current borders of Tibet were generally established in the 18th century.[4]

Following the Xinhai Revolution against the Qing dynasty in 1912, Qing soldiers were disarmed and escorted out of the Tibet Area (Ü-Tsang). The region subsequently declared its independence in 1913, although this was not recognised by the subsequent Chinese Republican government.[5] Later, Lhasa took control of the western part of Xikang. The region maintained its autonomy until 1951 when, following the Battle of Chamdo, Tibet was occupied and annexed by the People's Republic of China. The Tibetan government was abolished after the failure of the 1959 Tibetan uprising.[6] Today, China governs western and central Tibet as the Tibet Autonomous Region while the eastern areas are now mostly autonomous prefectures within Sichuan, Qinghai and other neighbouring provinces. The Tibetan independence movement[7] is principally led by the Tibetan diaspora.[8] Human rights groups have accused the Chinese government of abuses of human rights in Tibet, including torture.[9][10]

The dominant religion in Tibet is Tibetan Buddhism; other religions include Bön, an indigenous religion similar to Tibetan Buddhism,[11] Islam, and Christianity. Tibetan Buddhism is a primary influence on the art, music, and festivals of the region. Tibetan architecture reflects Chinese and Indian influences. Staple foods in Tibet are roasted barley, yak meat, and butter tea. With the growth of tourism in recent years, the service sector has become the largest sector in Tibet, accounting for 50.1% of the local GDP in 2020.[12]

Japan[a] is an island country in East Asia. It is in the northwest Pacific Ocean and is bordered on the west by the Sea of Japan, extending from the Sea of Okhotsk in the north toward the East China Sea, Philippine Sea, and Taiwan in the south. Japan is a part of the Ring of Fire, and spans an archipelago of 14,125 islands, with the five main islands being Hokkaido, Honshu (the "mainland"), Shikoku, Kyushu, and Okinawa. Tokyo is the country's capital and largest city, followed by Yokohama, Osaka, Nagoya, Sapporo, Fukuoka, Kobe, and Kyoto.

Japan has over 125 million inhabitants and is the 11th most populous country in the world, as well as one of the most densely populated. About three-fourths of the country's terrain is mountainous, concentrating its highly urbanized population on narrow coastal plains. Japan is divided into 47 administrative prefectures and eight traditional regions. The Greater Tokyo Area is the most populous metropolitan area in the world. Japan has the world's highest life expectancy, although it is experiencing a population decline due to its very low birth rate.

Japan has been inhabited since the Upper Paleolithic period (30,000 BC). Between the fourth and ninth centuries AD, the kingdoms of Japan became unified under an emperor and the imperial court based in Heian-kyō. Beginning in the 12th century, political power was held by a series of military dictators (shōgun) and feudal lords (daimyō), and enforced by a class of warrior nobility (samurai). After a century-long period of civil war, the country was reunified in 1603 under the Tokugawa shogunate, which enacted an isolationist foreign policy. In 1854, a United States fleet forced Japan to open trade to the West, which led to the end of the shogunate and the restoration of imperial power in 1868. In the Meiji period, the Empire of Japan adopted a Western-modeled constitution, and pursued a program of industrialization and modernization. Amidst a rise in militarism and overseas colonization, Japan invaded China in 1937 and entered World War II as an Axis power in 1941. After suffering defeat in the Pacific War and two atomic bombings, Japan surrendered in 1945 and came under a seven-year Allied occupation, during which it adopted a new constitution.

Under the 1947 constitution, Japan has maintained a unitary parliamentary constitutional monarchy with a bicameral legislature, the National Diet. Japan is a developed country and a great power, with one of the largest economies by nominal GDP. Japan has renounced its right to declare war, though it maintains a Self-Defense Force that ranks as one of the world's strongest militaries. A global leader in the automotive, robotics, and electronics industries, the country has made significant contributions to science and technology, and is one of the world's largest exporters and importers. It is part of multiple major international and intergovernmental institutions.

Japan is a cultural superpower as the culture of Japan is well known around the world, including its art, cuisine, film, music, and popular culture, which encompasses prominent manga, anime, and video game industries.

Oceania (UK: /ˌoʊsiˈɑːniə, ˌoʊʃi-, -ˈeɪn-/ OH-s(h)ee-AH-nee-ə, -⁠AY-, US: /ˌoʊʃiˈæniə, -ˈɑːn-/ ⓘ OH-shee-A(H)N-ee-ə)[5] is a geographical region comprising Australasia, Melanesia, Micronesia, and Polynesia.[6][7] Spanning the Eastern and Western Hemispheres, at the centre of the water hemisphere, Oceania is estimated to have a land area of about 9,000,000 square kilometres (3,500,000 sq mi) and a population of around 44.4 million as of 2022. When compared to the other continents, Oceania is the smallest in land area and the second-least populated after Antarctica.

Oceania has a diverse mix of economies from the highly developed and globally competitive financial markets of Australia, French Polynesia, Hawaii, New Caledonia, and New Zealand, which rank high in quality of life and Human Development Index,[8][9] to the much less developed economies of Kiribati, Papua New Guinea, Tuvalu, Vanuatu, and Western New Guinea,[10] while also including medium-sized economies of Pacific islands such as Fiji, Palau, and Tonga.[11] The largest and most populous country in Oceania is Australia, and the largest city is Sydney.[12] Puncak Jaya in Highland Papua, Indonesia, is the highest peak in Oceania at 4,884 m (16,024 ft).[13]

The first settlers of Australia, New Guinea, and the large islands just to the east arrived more than 60,000 years ago.[14] Oceania was first explored by Europeans from the 16th century onward. Portuguese explorers, between 1512 and 1526, reached the Tanimbar Islands, some of the Caroline Islands and west New Guinea. Spanish and Dutch explorers followed, then British and French. On his first voyage in the 18th century, James Cook, who later arrived at the highly developed Hawaiian Islands, went to Tahiti and followed the east coast of Australia for the first time.[15]

The arrival of European settlers in subsequent centuries resulted in a significant alteration in the social and political landscape of Oceania. The Pacific theatre saw major action during the First World War with the Japanese occupying many German territories. During the Second World War, Allied powers the United States, Philippines (a U.S. Commonwealth at the time) and Australia fought against Axis power Japan across various locations in Oceania.

The rock art of Aboriginal Australians is the longest continuously practiced artistic tradition in the world.[16] Most Oceanian countries are multi-party representative parliamentary democracies, with tourism being a large source of income for the Pacific island nations.[17]

Mongoliahttps://en.wikipedia.org/wiki/Mongolia#cite_note-11 is a landlocked country in East Asia, bordered by Russia to the north and China to the south. It covers an area of 1,564,116 square kilometres (603,909 square miles), with a population of just 3.3 million, making it the world's most sparsely populated sovereign state. Mongolia is the world's largest landlocked country that does not border a closed sea, and much of its area is covered by grassy steppe, with mountains to the north and west and the Gobi Desert to the south. Ulaanbaatar, the capital and largest city, is home to roughly half of the country's population.

The territory of modern-day Mongolia has been ruled by various nomadic empires, including the Xiongnu, the Xianbei, the Rouran, the First Turkic Khaganate, the Second Turkic Khaganate, the Uyghur Khaganate and others. In 1206, Genghis Khan founded the Mongol Empire, which became the largest contiguous land empire in history. His grandson Kublai Khan conquered China proper and established the Yuan dynasty. After the collapse of the Yuan, the Mongols retreated to Mongolia and resumed their earlier pattern of factional conflict, except during the era of Dayan Khan and Tumen Zasagt Khan. In the 16th century, Tibetan Buddhism spread to Mongolia, being further led by the Manchu-founded Qing dynasty, which absorbed the country in the 17th century. By the early 20th century, almost one-third of the adult male population were Buddhist monks.[10][11] After the collapse of the Qing dynasty in 1911, Mongolia declared independence, and achieved actual independence from the Republic of China in 1921. Shortly thereafter, the country became a satellite state of the Soviet Union. In 1924, the Mongolian People's Republic was founded as a socialist state.[12] After the anti-communist revolutions of 1989, Mongolia conducted its own peaceful democratic revolution in early 1990. This led to a multi-party system, a new constitution of 1992, and transition to a market economy.

Approximately 30% of the population is nomadic or semi-nomadic; horse culture remains integral. Buddhism is the majority religion (51.7%), with the nonreligious being the second-largest group (40.6%). Islam is the third-largest religious identification (3.2%), concentrated among ethnic Kazakhs. The vast majority of citizens are ethnic Mongols, with roughly 5% of the population being Kazakhs, Tuvans, and other ethnic minorities, who are especially concentrated in the western regions. Mongolia is a member of the United Nations, Asia Cooperation Dialogue, G77, Asian Infrastructure Investment Bank, Non-Aligned Movement and a NATO global partner. Mongolia joined the World Trade Organization in 1997 and seeks to expand its participation in regional economic and trade groups.[4]

Etymology​

Mongolia
Mongolian name
Mongolian Cyrillic	Монгол Улс (Mongol Uls)
Mongolian script	ᠮᠣᠩᠭᠣᠯ ᠤᠯᠤᠰ

Transcriptions

The name Mongolia means the "Land of the Mongols" in Latin. The Mongolian word "Mongol" (монгол) is of uncertain etymology, given variously as the name of a mountain or river; as a corruption of the Mongolian Mongkhe-tengri-gal ("Eternal Sky Fire");[13] or as a derivation from Mugulü, the 4th-century founder of the Rouran Khaganate,[14] first attested as the 'Mungu',[15] (Chinese: 蒙兀, Modern Chinese Měngwù, Middle Chinese Muwngu[16]), a branch of the Shiwei in an 8th-century Tang dynasty list of northern tribes, presumably related to the Liao-era Mungku[15] (Chinese: 蒙古, Modern Chinese Měnggǔ, Middle Chinese MuwngkuX[17]).

After the fall of the Liao in 1125, the Khamag Mongols became a leading tribe on the Mongolian Plateau. However, their wars with the Jurchen-ruled Jin dynasty and the Tatar confederation had weakened them. The last head of the tribe was Yesügei, whose son Temüjin eventually united all the Shiwei tribes as the Mongol Empire (Yekhe Monggol Ulus). In the thirteenth century, the word Mongol grew into an umbrella term for a large group of Mongolic-speaking tribes united under the rule of Genghis Khan.[18]

Since the adoption of the new Constitution of Mongolia on 13 February 1992, the official name of the state is "Mongolia" (Mongol Uls).

 

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Ok.