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Yang Hui | A Wisdom Archive on Yang Hui | | Yang Hui A selection of articles related to Yang Hui | |
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| ARTICLES RELATED TO Yang Hui | | | |  Yang Hui: Encyclopedia II - Warring States Period - Zhao's military reforms307 BC. Adoption of superior non-Chinese clothing and cavalry (胡服騎射) under the reign of King Wuling of Zhao
(in progress)
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See also:Warring States Period, Warring States Period - Partition of Jin, Warring States Period - Change of Government in Qi, Warring States Period - Early strife in the Three Jins Qi and Qin, Warring States Period - Shang Yang's reforms in Qin, Warring States Period - Ascension of the Kingdoms, Warring States Period - Chu expansion and defeats, Warring States Period - The Domination of Qin and the resulting Grand Strategies, Warring States Period - Zhao's military reforms, Warring States Period - Qin's conquest of China, Warring States Period - Films set in the Warring States Period Read more here: » Warring States Period: Encyclopedia II - Warring States Period - Zhao's military reforms |
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| | | | | Yang Hui: Encyclopedia II - Warring States Period - Qin's conquest of China In 230 BC, Qin conquers Han.
In 225 BC, Qin conquers Wei.
In 223 BC, Qin conquers Chu.
In 222 BC, Qin conquers Yan and Zhao.
In 221 BC, Qin conquers Qi, completing the unification of China, and ushering in the Qin Dynasty.
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See also:Warring States Period, Warring States Period - Partition of Jin, Warring States Period - Change of Government in Qi, Warring States Period - Early strife in the Three Jins Qi and Qin, Warring States Period - Shang Yang's reforms in Qin, Warring States Period - Ascension of the Kingdoms, Warring States Period - Chu expansion and defeats, Warring States Period - The Domination of Qin and the resulting Grand Strategies, Warring States Period - Zhao's military reforms, Warring States Period - Qin's conquest of China, Warring States Period - Films set in the Warring States Period Read more here: » Warring States Period: Encyclopedia II - Warring States Period - Qin's conquest of China |
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| | | | | | Yang Hui: Encyclopedia II - Binomial theorem - Newton's generalized binomial theorem Isaac Newton generalized the formula to other exponents by considering an infinite series:
where r can be any complex number (in particular r can be any real number, not necessarily positive and not necessarily an integer), and the coefficients are given by
In case k = 0, this is a product of no numbers at all and therefore equal to 1, and in case k = 1 it is equal to r, as the additional factors (r − 1), etc., do not a ...
See also:Binomial theorem, Binomial theorem - Newton's generalized binomial theorem, Binomial theorem - Binomial type, Binomial theorem - Proof inductive, Binomial theorem - Trivia Read more here: » Binomial theorem: Encyclopedia II - Binomial theorem - Newton's generalized binomial theorem |
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| | | | | Yang Hui: Encyclopedia II - Warring States Period - Chu expansion and defeats Early in the Warring States Period, Chu was one of the strongest states in China. The state rose to a new level around 389 BC when the King of Chu named the famous reformer Wu Qi (吳起) to be his prime minister.
Chu rose to its peak in 334 BC when it gained vast amounts of territory. The series of events leading up to this began when Yue prepared to attack Qi. The King of Qi sent an emissary who persuaded the King of Yue to attack Chu instead. Yue initiated a large scale attack at Chu, but was devastatingly defeated by Chu's counter-attack. Chu the ...
See also:Warring States Period, Warring States Period - Partition of Jin, Warring States Period - Change of Government in Qi, Warring States Period - Early strife in the Three Jins Qi and Qin, Warring States Period - Shang Yang's reforms in Qin, Warring States Period - Ascension of the Kingdoms, Warring States Period - Chu expansion and defeats, Warring States Period - The Domination of Qin and the resulting Grand Strategies, Warring States Period - Zhao's military reforms, Warring States Period - Qin's conquest of China, Warring States Period - Films set in the Warring States Period Read more here: » Warring States Period: Encyclopedia II - Warring States Period - Chu expansion and defeats |
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| | | | | Yang Hui: Encyclopedia II - Hefei - History The city was known as Luzhou (庐州; pinyin Lúzhōu) during the Ming and Qing Dynasties.
A famous Three Kingdoms battle was fought at what is currently Leisure Ford (逍遥津) in Hefei. General Zhang Liao of the Kingdom of Wei commanding 7,000 picked cavalry defeated the 100,000-men army of the Kingdom of Wu. Several decades of warring in Hefei between Wu and Wei followed this battle. During the Song Dynasty, Hefei was a frontier strate ...
See also:Hefei, Hefei - Administration, Hefei - History, Hefei - Geography, Hefei - Demographics, Hefei - Economy, Hefei - Sites of Interest, Hefei - Sister cities, Hefei - Notable people Read more here: » Hefei: Encyclopedia II - Hefei - History |
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| | | | | Yang Hui: Encyclopedia II - Hefei - Geography Hefei is located 130 km west of Nanjing.
Hefei's annual average temperature is about 15.7 °C. Its annual precipitation is about 1000 mm. It snows irregularly in the winter.
In the months of June, July, August, and often September, daily temperatures can reach highs of 37 °C with high hunidity levels being the norm.
May and June see the air quality level in Hefei diminish. The city is blanketed by a foul-smelling smog caused by the smoke generated as farmers outside the city burn their fields in prep ...
See also:Hefei, Hefei - Administration, Hefei - History, Hefei - Geography, Hefei - Demographics, Hefei - Economy, Hefei - Sites of Interest, Hefei - Sister cities, Hefei - Notable people Read more here: » Hefei: Encyclopedia II - Hefei - Geography |
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| | | | | Yang Hui: Encyclopedia II - Jiang Wei - Early life and career under Zhuge Liang's regency Jiang Wei was born during the late Eastern Han Dynasty and was from Tianshui Commandery (天水, roughly modern Tianshui, Gansu). His father Jiang Jiong (姜冏) was an army officer who was killed in battle during a Qiang rebellion, early in Jiang Wei's life. Because of what happened to his father, Jiang Wei became an army officer himself in the army of Cao Wei, Han's successor state.
For reasons unknown, when Liu Shan's regent Zhuge Liang had his first northern expedition in 228, Jiang's commanding officer suspected him of secretly w ...
See also:Jiang Wei, Jiang Wei - Early life and career under Zhuge Liang's regency, Jiang Wei - Under Jiang Wan and Fei Yi's regencies, Jiang Wei - As regent, Jiang Wei - Campaigns against Cao Wei, Jiang Wei - Fall of Shu Han, Jiang Wei - Efforts to reestablish Shu Han and death, Jiang Wei - Historical views of Jiang Wei Read more here: » Jiang Wei: Encyclopedia II - Jiang Wei - Early life and career under Zhuge Liang's regency |
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| | | | | Yang Hui: Encyclopedia II - Jiang Wei - Under Jiang Wan and Fei Yi's regencies After Zhuge Liang's death in 234, Jiang Wan succeeded him as regent. He continued to value Jiang Wei's capabilities greatly, and he commissioned Jiang Wei with the title of the governor of Liang Province (涼州, modern Gansu), which Shu Han did not control, but effectively giving Jiang Wei the authority over the northwestern border. After Jiang Wan's death in 245, Fei Yi succeeded him and made Jiang Wei his chief assistant.
Jiang had constantly wanted to revive Zhuge's strategy of actively waging war against Cao Wei, and Fei agreed - ...
See also:Jiang Wei, Jiang Wei - Early life and career under Zhuge Liang's regency, Jiang Wei - Under Jiang Wan and Fei Yi's regencies, Jiang Wei - As regent, Jiang Wei - Campaigns against Cao Wei, Jiang Wei - Fall of Shu Han, Jiang Wei - Efforts to reestablish Shu Han and death, Jiang Wei - Historical views of Jiang Wei Read more here: » Jiang Wei: Encyclopedia II - Jiang Wei - Under Jiang Wan and Fei Yi's regencies |
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| | | | | Yang Hui: Encyclopedia II - List of Chinese authors - Chronological list
List of Chinese authors - Antiquity Qin Han and pre-Tang dynasties.
屈原 Qu Yuan (340 ? -278 ? BC)
宋玉 Song Yu (3rd century BC)
司馬遷 Sima Qian (145- ? BC)
司馬相如 Sima Xiangru (179-117 BC)
班固 Ban Gu (32-92)
張衡 Zhang Heng (78-139)
曹操 Cao Cao (155-220)
曹丕 Cao Pi (187-226)
曹植 Cao Zhi (192-232)
嵇康 Xi Kang (223-262)
陸機 Lu Ji (261-303)
陶淵明 Tao Yuanming (365 or 372-427)
謝靈運 Xie Lingyun (385-422)
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See also:List of Chinese authors, List of Chinese authors - Chronological list, List of Chinese authors - Antiquity Qin Han and pre-Tang dynasties, List of Chinese authors - Tang Dynasty and following, List of Chinese authors - Song Dynasty and following, List of Chinese authors - Ming Dynasty, List of Chinese authors - Qing Dynasty, List of Chinese authors - Modern Period, List of Chinese authors - List by names, List of Chinese authors - B C D, List of Chinese authors - F G H J, List of Chinese authors - L, List of Chinese authors - M O P Q S T, List of Chinese authors - W X Y Z Read more here: » List of Chinese authors: Encyclopedia II - List of Chinese authors - Chronological list |
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| | | | | Yang Hui: Encyclopedia II - Binomial theorem - Newton's generalized binomial theorem Isaac Newton generalized the formula to other exponents by considering an infinite series:
where r can be any complex number (in particular r can be any real number, not necessarily positive and not necessarily an integer), and the coefficients are given by
In case k = 0, this is a product of no numbers at all and therefore equal to 1, and in case k = 1 it is equal to r, as the additional factors (r − 1), etc., do not a ...
See also:Binomial theorem, Binomial theorem - Newton's generalized binomial theorem, Binomial theorem - Binomial type, Binomial theorem - A proof, Binomial theorem - Trivia Read more here: » Binomial theorem: Encyclopedia II - Binomial theorem - Newton's generalized binomial theorem |
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| | | | | Yang Hui: Encyclopedia II - List of Chinese people - Artists and perfomers
List of Chinese people - Painters and calligraphers.
Dong Yuan
Fu Baoshi
Jiang Tingxi
Leung Long Chau
Liang Kai
Qi Baishi
Wang Xizhi, calligrapher
Wei Shuo, female calligrapher
Xu Peiheng
Xu Wei
Xue Wei, painter
Zhao Mengfu
Zhu Da, also known as Bada Shanren
See also: List of Chinese painters
List of Chinese people - Actors and actresses.
Nichola ...
See also:List of Chinese people, List of Chinese people - Non-political royalty, List of Chinese people - Artists and perfomers, List of Chinese people - Painters and calligraphers, List of Chinese people - Actors and actresses, List of Chinese people - Film-makers, List of Chinese people - Singers, List of Chinese people - Musicians, List of Chinese people - Comedians, List of Chinese people - Martial Artists, List of Chinese people - Athletes, List of Chinese people - Educators, List of Chinese people - Business tycoons, List of Chinese people - Explorers, List of Chinese people - Law, List of Chinese people - Military officers and soldiers, List of Chinese people - Philosophers and writers, List of Chinese people - Linguist, List of Chinese people - Religion, List of Chinese people - Scientists and engineers, List of Chinese people - Others, List of Chinese people - Burmese Chinese, List of Chinese people - Fictional Chinese people Read more here: » List of Chinese people: Encyclopedia II - List of Chinese people - Artists and perfomers |
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| | | | | Yang Hui: Encyclopedia II - Chinese tea - The Ming Dynasty Ming dynasty scholar 文震亨 Wen Zhenheng's book 长物志 Zhang Wu Zhi (On Superfluous Things) chapter 12 contains description of several famous Ming dynasty tea:
Chinese tea - Tiger Hill Tea and Heaven Pool Tea.
During this time Tiger Hill Tea was purportedly developed as (still) the finest tea in the world, however, the production quantity was rather small, and growing is regulated by the Chinese government. Some, however, consider its taste to be second to Heaven Pool tea. Zhen Heng.
Chinese tea - Jie Tea.
Jie Tea from Chang Xing of Zhejiang is supe ...
See also:Chinese tea, Chinese tea - Modern tea production, Chinese tea - The Tang Dynasty, Chinese tea - The Song Dynasty, Chinese tea - The Ming Dynasty, Chinese tea - Tiger Hill Tea and Heaven Pool Tea, Chinese tea - Jie Tea, Chinese tea - Liu An Tea, Chinese tea - Song Luo Tea, Chinese tea - Dragon Fountain Tea and Eyes on Heaven Tea, Chinese tea - Variety of Tea Read more here: » Chinese tea: Encyclopedia II - Chinese tea - The Ming Dynasty |
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| | | | | Yang Hui: Encyclopedia II - Emperor Guangwu of Han - Family background Liu Xiu was the sixth generation descendant of Emperor Jing of the Former (or Western) Han. He was the son of Liu Qin (劉欽), magistrate (i.e., head official) of Nandun county (南頓令). Liu Qin was the son of Liu Hui (劉回), vice governor in charge of military affairs for Julu commandery (鉅鹿都尉). Liu Hui was the son of Liu Wai (劉外), governor of Yulin commandery (鬱林太守). Liu Wai was the son of Liu Mai (劉買), known posthumously as Marquess Jie of Chongling (舂陵節侯). Liu Mai was the son of Liu Fa (劉發), know ...
See also:Emperor Guangwu of Han, Emperor Guangwu of Han - Family background, Emperor Guangwu of Han - Participation in his brother's rebellion, Emperor Guangwu of Han - As official under Emperor Gengshi, Emperor Guangwu of Han - The ascension of Emperor Gengshi, Emperor Guangwu of Han - The Battle of Kunyang, Emperor Guangwu of Han - Liu Yan's death and Liu Xiu's bare survival, Emperor Guangwu of Han - Role in reorganization of Emperor Gengshi's regime and dispatch to northern China, Emperor Guangwu of Han - Independence from Emperor Gengshi, Emperor Guangwu of Han - Campaign to unify the empire, Emperor Guangwu of Han - Victory over the Chimei, Emperor Guangwu of Han - Gradual victories over other regional powers, Emperor Guangwu of Han - Reign over unified empire, Emperor Guangwu of Han - Marital and succession issues, Emperor Guangwu of Han - Late reign, Emperor Guangwu of Han - Era names, Emperor Guangwu of Han - Personal information Read more here: » Emperor Guangwu of Han: Encyclopedia II - Emperor Guangwu of Han - Family background |
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| | | | | Yang Hui: Encyclopedia II - Taipei - Politics The current mayor of Taipei is the Kuomintang's Ma Ying-jeou. The office of mayor of Taipei is seen as a stepping stone to higher office. Both the current and previous Presidents Chen Shui-bian and Lee Teng-hui were mayors of Taipei, and Ma Ying-jeou is widely regarded as the most likely Kuomintang candidate for President in 2008. Until 1994, the mayor of Taipei was an appointed position, but since then it has been elected.
Taipei City has a higher proportion of Mainlanders than average in Taiwan. This and the fact that the city is hi ...
See also:Taipei, Taipei - Subdivisions, Taipei - Geography, Taipei - History, Taipei - Politics, Taipei - Festivities in Taipei, Taipei - Education, Taipei - Transportation, Taipei - Attractions, Taipei - Pronunciation note, Taipei - Sister Cities Read more here: » Taipei: Encyclopedia II - Taipei - Politics |
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| | | | | | Yang Hui: Encyclopedia II - Taipei - Education Taipei has 15 universities:
Chinese Culture University
Ming Chuan University
National Chengchi University
National Taipei University
National Taipei University of Technology
National Taiwan Normal University
National Taiwan University
National Taiwan University of Science and Technology
National Yang Ming University
Shih Chien University
Shih Hsin University
Soochow University
Taipei Medical University
Taipei National University of Ar ...
See also:Taipei, Taipei - Subdivisions, Taipei - Geography, Taipei - History, Taipei - Politics, Taipei - Festivities in Taipei, Taipei - Education, Taipei - Transportation, Taipei - Attractions, Taipei - Pronunciation note, Taipei - Sister Cities Read more here: » Taipei: Encyclopedia II - Taipei - Education |
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| | | | | Yang Hui: Encyclopedia II - Warring States Period - Ascension of the Kingdoms In 334 BC, the rulers of Wei and Qi agreed to recognize each other as Kings (王), formalizing the independence of the states and the powerlessness of the Zhou throne since the beginning of the Eastern Zhou Dynasty. The King of Wei and the King of Qi joined the ranks of the King of Chu, whose predecessors had been Kings since the Spring and Autumn Period. From this point on, all the other states eventually declare their Kingship, signifying the beginning of the end of the Zhou Dynasty.
In 325 BC, the ruler of Qin declared himself as King.
In 323 BC, the rulers of Han and Yan declared themselves as ...
See also:Warring States Period, Warring States Period - Partition of Jin, Warring States Period - Change of Government in Qi, Warring States Period - Early strife in the Three Jins Qi and Qin, Warring States Period - Shang Yang's reforms in Qin, Warring States Period - Ascension of the Kingdoms, Warring States Period - Chu expansion and defeats, Warring States Period - The Domination of Qin and the resulting Grand Strategies, Warring States Period - Zhao's military reforms, Warring States Period - Qin's conquest of China, Warring States Period - Films set in the Warring States Period Read more here: » Warring States Period: Encyclopedia II - Warring States Period - Ascension of the Kingdoms |
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| | | | | Yang Hui: Encyclopedia II - Magic square - Generalizations
Magic square - Extra constraints.
Certain extra restrictions can be imposed on magical squares. If not only the main diagonals but also the broken diagonals sum to the magic constant, the result is a panmagic square. If raising each number to certain powers yields another magic square, the result is a bimagic, a trimagic, or, in general, a multimagic square.
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See also:Magic square, Magic square - Brief history of magic squares, Magic square - The Lo Shu Square 3x3 magic square, Magic square - The early squares of order four 4x4 magic squares, Magic square - Cultural significance of magic squares, Magic square - Albrecht Dürer's magic square, Magic square - The Sagrada Família magic square, Magic square - Types of magic squares and their construction, Magic square - A method for constructing a magic square of odd order, Magic square - A method of constructing a magic square of doubly even order, Magic square - Counting magic squares, Magic square - Generalizations, Magic square - Extra constraints, Magic square - Different constraints, Magic square - Other operations, Magic square - Other magic shapes, Magic square - Combined extensions, Magic square - Related problems, Magic square - Magic Square of Primes, Magic square - n-Queens problem Read more here: » Magic square: Encyclopedia II - Magic square - Generalizations |
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| | | | | Yang Hui: Encyclopedia II - Warring States Period - The Domination of Qin and the resulting Grand Strategies Towards the end of the Warring States Period, the State of Qin became disproportionately powerful compared to the other six states. As a result, the policies of the six states became overwhelmingly oriented towards dealing with the Qin threat, with two opposing schools of thought: Hezong (合縱/合纵 pinyin: hézòng, "vertically linked"), or alliance with each other to repel Qin expansionism; and Lianheng (連橫/连横 pinyin: liánhéng, "horizontally linked"), or alliance with Qin to participate in its ascendancy. There were some initi ...
See also:Warring States Period, Warring States Period - Partition of Jin, Warring States Period - Change of Government in Qi, Warring States Period - Early strife in the Three Jins Qi and Qin, Warring States Period - Shang Yang's reforms in Qin, Warring States Period - Ascension of the Kingdoms, Warring States Period - Chu expansion and defeats, Warring States Period - The Domination of Qin and the resulting Grand Strategies, Warring States Period - Zhao's military reforms, Warring States Period - Qin's conquest of China, Warring States Period - Films set in the Warring States Period Read more here: » Warring States Period: Encyclopedia II - Warring States Period - The Domination of Qin and the resulting Grand Strategies |
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| | | | | Yang Hui: Encyclopedia II - Warring States Period - Partition of Jin In the Spring and Autumn Period, the State of Jin (晉) was arguably the most powerful state in China. However, near the end of the Spring and Autumn Period, the power of the ruling family weakened, and Jin gradually come under the control of six large families (六卿). By the beginning of the Warring States Period, after numerous power struggles, there were four families left: the Zhi (智) family, the Wei (魏) family, the Zhao (趙) family, and the Han (韓) family, with the Zhi family being the dominant power in Jin. Zhi Yao (智瑶), t ...
See also:Warring States Period, Warring States Period - Partition of Jin, Warring States Period - Change of Government in Qi, Warring States Period - Early strife in the Three Jins Qi and Qin, Warring States Period - Shang Yang's reforms in Qin, Warring States Period - Ascension of the Kingdoms, Warring States Period - Chu expansion and defeats, Warring States Period - The Domination of Qin and the resulting Grand Strategies, Warring States Period - Zhao's military reforms, Warring States Period - Qin's conquest of China, Warring States Period - Films set in the Warring States Period Read more here: » Warring States Period: Encyclopedia II - Warring States Period - Partition of Jin |
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