Novikov–Veselov equation

Khawaja Muhammad ibn Muhammad ibn Hasan Tūsī (Template:Lang-fa) (born 18 February 1201 in Ṭūs, Khorasan – died on 26 June 1274 in al-Kāżimiyyah district of metropolitan Baghdad), better known as Nasīr al-Dīn Tūsī (Template:Lang-fa; or simply Tusi in the West), was a Persian polymath and prolific writer: an architect, astronomer, biologist, chemist, mathematician, philosopher, physician, physicist, scientist, theologian and Marja Taqleed.Potter or Ceramic Artist Truman Bedell from Rexton, has interests which include ceramics, best property developers in singapore developers in singapore and scrabble. Was especially enthused after visiting Alejandro de Humboldt National Park. He was of the Ismaili-, and subsequently Twelver Shī‘ah Islamic belief. The Muslim scholar Ibn Khaldun (1332–1406) considered Tusi to be the greatest of the later Persian scholars.

Biography

Nasir al-Din Tusi was born in the city of Tus in medieval Khorasan (in north-eastern Iran) in the year 1201 and began his studies at an early age. In Hamadan and Tus he studied the Qur'an, Hadith, Shi'a jurisprudence, logic, philosophy, mathematics, medicine and astronomy.

He was apparently born into a Shī‘ah family and lost his father at a young age. Fulfilling the wish of his father, the young Muhammad took learning and scholarship very seriously and travelled far and wide to attend the lectures of renowned scholars and acquire the knowledge which guides people to the happiness of the next world. At a young age he moved to Nishapur to study philosophy under Farid al-Din Damad and mathematics under Muhammad Hasib. He met also Farid al-Din 'Attar, the legendary Sufi master who was later killed by Mongol invaders and attended the lectures of Qutb al-Din al-Misri.

In Mosul he studied mathematics and astronomy with Kamal al-Din Yunus (d. 639/1242). Later on he corresponded with Sadr al-Din al-Qunawi, the son-in-law of Ibn al-'Arabi, and it seems that mysticism, as propagated by Sufi masters of his time, was not appealing to his mind and once the occasion was suitable, he composed his own manual of philosophical Sufism in the form of a small booklet entitled Awsaf al-Ashraf "The Attributes of the Illustrious".

As the armies of Genghis Khan swept his homeland, he was captured by the Ismailis and made his most important contributions in science during this time when he was moving from one stronghold to another. He finally joined Hulagu Khan's ranks, after the invasion of the Alamut castle by the Mongol forces.

Works

Tusi has about 150 works in Persian and Arabic.

A Treatise on Astrolabe by Tusi, Isfahan 1505

• Kitāb al-Shakl al-qattāʴ Book on the complete quadrilateral. A five volume summary of trigonometry.
• Al-Tadhkirah fi'ilm al-hay'ah – A memoir on the science of astronomy. Many commentaries were written about this work called Sharh al-Tadhkirah (A Commentary on al-Tadhkirah) - Commentaries were written by Abd al-Ali ibn Muhammad ibn al-Husayn al-Birjandi and by Nazzam Nishapuri.
• Akhlaq-i-Nasri – A work on ethics.
• al-Risalah al-Asturlabiyah – A Treatise on astrolabe.
• Zij-i ilkhani (Ilkhanic Tables) – A major astronomical treatise, completed in 1272.
• sharh al-isharat (Commentary on Avicenna's Isharat)
• Awsaf al-Ashraf a short mystical-ethical work in Persian
• Tajrīd al-iʿtiqād (Summation of Belief) – A commentary on Shia doctrines.

Achievements

Tusi couple from Vat. Arabic ms 319

Tusi couple

During his stay in Nishapur, Tusi established a reputation as an exceptional scholar. "Tusi’s prose writing, which number over 150 works, represent one of the largest collections by a single Islamic author. Writing in both Arabic and Persian, Nasir al-Din Tusi dealt with both religious (“Islamic”) topics and non-religious or secular subjects (“the ancient sciences”). His works include the definitive Arabic versions of the works of Euclid, Archimedes, Ptolemy, Autolycus, and Theodosius of Bithynia.

Astronomy

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The Astronomical Observatory of Nasir al-Din Tusi.

Tusi convinced Hulegu Khan to construct an observatory for establishing accurate astronomical tables for better astrological predictions. Beginning in 1259, the Rasad Khaneh observatory was constructed in Azarbaijan, west of Maragheh, the capital of the Ilkhanate Empire.

Based on the observations in this for the time being most advanced observatory, Tusi made very accurate tables of planetary movements as depicted in his book Zij-i ilkhani (Ilkhanic Tables). This book contains astronomical tables for calculating the positions of the planets and the names of the stars. His model for the planetary system is believed to be the most advanced of his time, and was used extensively until the development of the heliocentric model in the time of Nicolaus Copernicus. Between Ptolemy and Copernicus, he is considered by many to be one of the most eminent astronomers of his time.

For his planetary models, he invented a geometrical technique called a Tusi-couple, which generates linear motion from the sum of two circular motions. He used this technique to replace Ptolemy's problematic equant for many planets, but was unable to find a solution to Mercury, which was solved later by Ibn al-Shatir as well as Ali Qushji. The Tusi couple was later employed in Ibn al-Shatir's geocentric model and Nicolaus Copernicus' heliocentric Copernican model. He also calculated the value for the annual precession of the equinoxes and contributed to the construction and usage of some astronomical instruments including the astrolabe.

Ṭūsī criticized Ptolemy's use of observational evidence to show that the Earth was at rest, noting that such proofs were not decisive. Although it doesn't mean that he was a supporter of mobility of the earth, as he and his 16th-century commentator al-Bīrjandī, maintained that the earth's immobility could be demonstrated, but only by physical principles found in natural philosophy. Tusi's criticisms of Ptolemy were similar to the arguments later used by Copernicus in 1543 to defend the Earth's rotation.

About the real essence of the Milky Way, Ṭūsī in his Tadhkira writes: "The Milky Way, i.e. the galaxy, is made up of a very large number of small, tightly-clustered stars, which, on account of their concentration and smallness, seem to be cloudy patches. because of this, it was likend to milk in color." Three centuries later the proof of the Milky Way consisting of many stars came in 1610 when Galileo Galilei used a telescope to study the Milky Way and discovered that it is really composed of a huge number of faint stars.

Biology

In his Akhlaq-i-Nasri, Tusi put forward a basic theory for the evolution of species. He begins his theory of evolution with the universe once consisting of equal and similar elements. According to Tusi, internal contradictions began appearing, and as a result, some substances began developing faster and differently from other substances. He then explains how the elements evolved into minerals, then plants, then animals, and then humans. Tusi then goes on to explain how hereditary variability was an important factor for biological evolution of living things:

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Tusi discusses how organisms are able to adapt to their environments:

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Tusi recognized three types of living things: plants, animals, and humans. He wrote:

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Tusi then explains how humans evolved from advanced animals:

31 year-old Systems Analyst Bud from Deep River, spends time with pursuits for instance r/c cars, property developers new condo in singapore singapore and books. Last month just traveled to Orkhon Valley Cultural Landscape.

Chemistry and Physics

In chemistry and physics, Tusi stated a version of the law of conservation of mass. He wrote that a body of matter is able to change, but is not able to disappear:

31 year-old Systems Analyst Bud from Deep River, spends time with pursuits for instance r/c cars, property developers new condo in singapore singapore and books. Last month just traveled to Orkhon Valley Cultural Landscape.

Logic

Nasir al-Din Tusi was a supporter of Avicennian logic, and wrote the following commentary on Avicenna's theory of absolute propositions:

31 year-old Systems Analyst Bud from Deep River, spends time with pursuits for instance r/c cars, property developers new condo in singapore singapore and books. Last month just traveled to Orkhon Valley Cultural Landscape.

Mathematics

Iranian stamp for the 700th anniversary of his death

A stamp issued in the republic of Azerbaijan in 2009 honoring Tusi

Al-Tusi was the first to write a work on trigonometry independently of astronomy. Al-Tusi, in his Treatise on the Quadrilateral, gave an extensive exposition of spherical trigonometry, distinct from astronomy. It was in the works of Al-Tusi that trigonometry achieved the status of an independent branch of pure mathematics distinct from astronomy, to which it had been linked for so long.

He was the first to list the six distinct cases of a right triangle in spherical trigonometry.

This followed earlier work by Greek mathematicians such as Menelaus of Alexandria, who wrote a book on spherical trigonometry called Sphaerica, and the earlier Muslim mathematicians Abū al-Wafā' al-Būzjānī and Al-Jayyani.

In his On the Sector Figure, appears the famous law of sines for plane triangles.

${\frac {a}{\sin A}}={\frac {b}{\sin B}}={\frac {c}{\sin C}}$

He also stated the law of sines for spherical triangles, discovered the law of tangents for spherical triangles, and provided proofs for these laws.

Influence and legacy

A 60-km diameter lunar crater located on the southern hemisphere of the moon is named after him as "Nasireddin". A minor planet 10269 Tusi discovered by Soviet astronomer Nikolai Stepanovich Chernykh in 1979 is named after him. The K. N. Toosi University of Technology in Iran and Observatory of Shamakhy in the Republic of Azerbaijan are also named after him. Google celebrated his 812th birthday with a doodle, which was accessible in its websites with Arabic language.

See also

• List of modern-day Muslim scholars of Islam
• List of Iranian scientists
• List of Shi'a Muslims
• Persian science
• Science in the medieval Islamic world
• Shen Kuo

References

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Further reading

• Template:DSB
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• Encyclopædia Iranica, "AḴLĀQ-E NĀṢERĪ", G.M. Wickens [1]
• Encyclopædia Iranica, "AWṢĀF AL-AŠRĀF", G.M. Wickens [2]
• Encyclopædia Iranica, "Nasir al-Din al-Tusi" George Saliba [3]

External links

• 
  
  My name is Dorris Bosanquet but everybody calls me Dorris. I'm from Iceland. I'm studying at the university (3rd year) and I play the Bass Guitar for 5 years. Usually I choose music from my famous films ;).
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• 
  
  My name is Dorris Bosanquet but everybody calls me Dorris. I'm from Iceland. I'm studying at the university (3rd year) and I play the Bass Guitar for 5 years. Usually I choose music from my famous films ;).
  I have two sister. I love Knitting, watching movies and Water sports.
  
  Also visit my blog post - http://Hostgator1Centcoupon.info/ (http://dawonls.dothome.co.kr/db/?document_srl=373691)
• Biography by Islamic Insights
• Biography by Islamic Philosophy Online
• Biography by The Internet Encyclopedia of Philosophy
• Kerry Magruder, History of Science Online: Islamic and Early Medieval Science, University of Oklahoma
• Islam Online.
• http://www.famousmuslims.com/NASIR%20AL-DIN%20AL-TUSI.htm
• Template:Cite web
• The Rekhaganita. An 18th century Sanskrit translation of Nasir al-Din al-Tusi's recension of Euclid's Elements.
• Richard Covington, Rediscovering Arabic Science, 2007, Saudi Aramco World

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Template:Scholars of Khorasan Template:Islamic astronomy Template:Islamic mathematics Template:Islamic philosophy Earlier than you decide whether stainless-steel cookware is price shopping for, lets first focus on what stainless steel cookware is. Chrome steel is made from an alloy, or a combination of metals. Most commonly, fundamental iron with chromium, nickel or some other minor metals. The chromium supplies rust protection and offers your cookware sturdiness. The nickel offers rust safety as effectively, and adds a sophisticated look. Most effectively made stainless steel cookware has copper or aluminum added to the bottom of the pan or pot. This is finished to increases the flexibility of the pot or pan to conduct warmth.
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You will discover magnetic stainless-steel within the layer on the outside of some quality pieces of stainless-steel. That is to make it suitable with induction stovetops, which contain the usage of a rapidly charging electromagnetic discipline to warmth cookware. Excessive-high quality chrome steel, like All-Clad , uses three layers of metallic—the austenite layer of metal on the within, ferrite steel on the skin, and a layer of aluminum sandwiched between the two for optimal heat conductivity (metal alone does not conduct warmth evenly). Lesser-high quality stainless steel is often just one layer of austenitic stainless-steel.
Aesthetically speaking, stainless steel is a wise choice if you happen to want to display or hold pots or pans. The clear, crisp look of all stainless-steel kitchenware can transform a mishmash of cookware into a complicated décor statement. Stainless-steel kettles, such because the Cuisinart Tea Kettle will combine particular person kitchenware right into a cohesive and pleasant entity. Contemplate purchasing chrome steel utensils as effectively. Already acquired a beautiful stainless steel cookware collection? The Cuisinart Chef’s Assortment stainless pot rack may be the of entirety for a kitchen, liberating up space and making these pots and pans readily accessible. Get the stainless steel cookware of your culinary dreams at Macy’s!
Arduous-anodized aluminum cookware is without doubt one of the most popular varieties of material, despite the fact that many individuals do not fairly perceive the construction. Exhausting-anodized aluminum is obvious aluminum that has been processed in a series of chemical baths charged with an electric present. The result is a fabric that has the identical superior warmth conductivity as aluminum but is non-reactive with acidic meals, such as tomatoes, and twice as laborious as stainless steel. Two drawbacks to hard-anodized cookware are that it is not dishwasher-protected and, as a result of it isn't magnetic, it will not work with induction vary tops.
The enamel over metal method creates a piece that has the heat distribution of carbon metal and a non-reactive, low-stick surface. Such pots are a lot lighter than most other pots of similar size, are cheaper to make than stainless-steel pots, and do not have the rust and reactivity issues of cast iron or carbon metal. quotation needed Enamel over steel is ideal for big stockpots and for different giant pans used principally for water-primarily based cooking. Due to its light weight and easy cleanup, enamel over steel is also well-liked for cookware used whereas camping. Clad aluminium or copper edit
Distinctive specialty cookware items served a la carte to compliment any cookware set are constructed of a durable Stainless Steel with a brushed exterior finish. Designed with an impression bonded, aluminum disk encapsulated base which distributes heat shortly and evenly to permit precise temperature management. Handles are riveted for durability and efficiency. The New Specialty Cookware is compatible for all vary types together with induction. Along with the multi use operate, one other distinctive feature is bottom to top inside quantity markings in each quarts and metric measurement; and every bit comes with a tempered glass lid, oven safe to 350°F.
Whether or not you're a cooking enthusiasts, knowledgeable chef or simply cooking for your loved ones you realize the significance of getting a completely stocked kitchen. Not solely do you want the appropriate elements, but you additionally want the suitable tools to get the job carried out. In any kind of fundamental cooking training lesson, you will be taught that stainless steel is your new greatest good friend in relation to kitchen cookware. What additionally, you will study is that quality cooking tools doesn't usually come at a discounted value. If you liked this post and you would such as to get additional details regarding best stainless steel cookware kindly visit our internet site. For this reason, you will need to take excellent care of your cookware! Listed here are some basics for stainless steel care.
To fight the uneven heating downside, most chrome steel pans are laminations of aluminum or copper on the underside to unfold the warmth round, and stainless steel contained in the pan to offer a cooking surface that is impervious to whatever you may put inside. In my expertise, this stainless-steel floor remains to be too sticky to fry on, and for those who ever burn it you get a everlasting bother spot. However, sometimes a stainless-steel cooking surface comes in handy when you can't use aluminum (see beneath) so I hold some around. Choose one thing with a reasonably thick aluminum layer on the bottom.
Well, unless you’re a metals expert and go inspect the manufacturing unit the place the steel is made to see whether or not or not their manufacturing course of creates a pure austenite with out corrosive materials shaped, you’re not going to know for certain whether or not or not the craftsmanship of your stainless is of the highest quality. I think your greatest guess is to simply purchase excessive-quality chrome steel from the start, from a brand with a popularity for good high quality. However, I feel I've found out a method that you could determine if the stainless cookware you have already got is probably reactive.