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Zhang Heng - Wikipedia, the free encyclopedia. Zhang Heng. A stamp of Zhang Heng issued by China Post in 1. Native name. Educated in the capital cities of Luoyang and Chang'an, he achieved success as an astronomer, mathematician, scientist, engineer, inventor, geographer, cartographer, artist, poet, statesman, and literary scholar. Zhang Heng began his career as a minor civil servant in Nanyang. Eventually, he became Chief Astronomer, Prefect of the Majors for Official Carriages, and then Palace Attendant at the imperial court. His uncompromising stance on historical and calendrical issues led to his becoming a controversial figure, preventing him from rising to the status of Grand Historian.
His political rivalry with the palace eunuchs during the reign of Emperor Shun (r. Zhang returned home to Nanyang for a short time, before being recalled to serve in the capital once more in 1. He died there a year later, in 1. Zhang applied his extensive knowledge of mechanics and gears in several of his inventions. He invented the world's first water- poweredarmillary sphere to assist astronomical observation. In addition to documenting about 2,5.
Zhang also posited theories about the Moon and its relationship to the Sun: specifically, he discussed the Moon's sphericity, its illumination by reflected sunlight on one side and the hidden nature of the other, and the nature of solar and lunareclipses. His fu (rhapsody) and shi poetry were renowned in his time and studied and analyzed by later Chinese writers.
Zhang received many posthumous honors for his scholarship and ingenuity; some modern scholars have compared his work in astronomy to that of the Greco- Roman Ptolemy (AD 8. When Bao De was recalled to the capital in 1. Zhang continued his literary work at home in Xi'e.
As Chief Astronomer, Zhang Heng earned a fixed salary and rank of 6. He considered the teachings to be of questionable stature and believed they could introduce errors. As there was no perceivable tremor felt in the capital his political enemies were briefly able to relish the failure of his device. In Zhang's memorial discussing the reasons behind these natural disasters, he criticized the new recruitment system of Zuo Xiong which fixed the age of eligible candidates for the title .
Zhang pointed to specific examples of past court intrigues involving eunuchs, and convinced Shun that he should assume greater authority and limit their influence. Zhang enjoyed a short period of retirement at his home in Xi'e, Nanyang, before being called back to the capital, where he died in 1. Literature and poetry. Zhang fantasized about her in his . This set constitutes some of the earliest heptasyllabic shi. Chinese poetry written. In his poetry, Zhang Heng expressed his affinity for gracious and commendable women.
As well as being a painter, Zhang also crafted figurine sculptures similar to this one. Knechtges claim that Zhang wrote this as an innuendo hinting at his inability to keep in contact with the emperor, hindered by unworthy rivals and petty men. Zhang wrote that Western Han emperors were entertained by displays of archery from the balconies of towers along Chang'an's Kunming Lake.
Zhang's long lyrical poems also revealed a great amount of information on urban layout and basic geography. Authors of this genre created a written dialogue between themselves and an imaginary person (or a real person of their entourage or association); the latter poses questions to the author on how to lead a successful life. This was seen as a general criticism of the Eastern Han emperors and their imperial favorites, guised in the criticism of earlier Western Han emperors. AD 2. 3) made the first known Chinese attempt at a more accurate calculation of 3. Although the ancient Warring States (4. The fire gives out light and the water reflects it.
Thus the moon's brightness is produced from the radiance of the Sun, and the Moon's darkness is due to (the light of) the sun being obstructed.
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SOUTHAMPTON is a seaport, parliamentary and county and municipal borough and market town, and the head of a union, county court, petty sessional division and district registry of the High Court of Justice, and a county of itself, under the designation of . To the north- east of the present town, on the opposite bank of the Itchen, where Bitterne now stands, the Romans had a military station called . Canute, after his establishment on the throne, made this town his occasional residence. Southampton derived its importance in Norman times from being the port of Winchester.
In the reign of Edward V. Philip, King of Spain, on his arrival in England to espouse Queen Mary, landed at this port, July, 2. Of the ancient gates, the principal now remaining are West Gate, South Grate and Bar Gate, in relation to which last the more modern part of the town is distinguished by the appellation of . The site is now occupied by houses. The town is beautifully situated on a peninsula, rising gradually from the northern shore of the Southampton Water and bounded on the east by the river Itchen, and on the south and west by a fine open estuary formed by the confluence of the Itchen with the river Test, There are two bridges across the Itchen to Bitterne (viz. Northam bridge, rebuilt upon the piles of the old wooden bridge in the year 1.
Mary Extra); these communications connecting the town with the eastern bank of Southampton water. The shores of the estuary or bay are richly wooded, and afford a continuous stretch of finely diversified scenery, studded with villages, mansions and villas. Southampton Water, which is about 2 miles broad at its entrance, near Calshot Castle, stretches north stward nearly 7 miles, and on the eastern shore are tree picturesque ruins of Netley Abbey, and on the west is the extensive and beautiful tract of country known as the New Forest.
The town is distinguished for the beauty of its situation, and is approached from the London road through an avenue of stately elms across the common. The principal entrance is through the ancient Bar Gate, an embattled and machicolated structure on the north front of which are two gigantic figures, representing Sir Bevois of Southampton and the giant Ascupart, whom, according to legendary tele. Sir Bevois is said to have conquered in single combat: this gate conducts immediately to the High street, which is more than half a mile in length and leads directly to the Quay, for the improvement of which the old Water Gate was taken down in 1. In the part Above Bar are many fine ranges of buildings.
Near the South Gate is a platform for cannon, where stand twelve pieces of ordnance, including an ancient gun presented by Henry VIII. The borough of Southampton, formerly divided into five wards, was in 1. In 1. 89. 5 it was extended by the inclusion within its limits of the suburban districts of Shirley, Freemantle and Bitterne Park, and is now divided into thirteen wards. The Corporation consists of a mayor, sheriff, senior and junior bailiffs, thirteen aldermen and thirty- nine councillors. Quarter sessions are held by the recorder for the trial of offences, not capital, committed within the borough: petty sessions are held daily. The parliamentary borough was conterminous with the old area of the municipal borough, but the .
Mary Extra, and the detached portion of Hound, included within St. The borough returns two members to parliament. Under the provisions of the Local Government Act, 1. Vict, c. 4. 1), Southampton became a .
The Corporation have recently (1. The water supply is derived from wells in the chalk at Otterbourne, near Winchester, and the service reservoirs contain 6 million gallons. The water is of first class purity end is softened by the. The average consumption is 3 million gallons per day. The water rate for the supply for domestic purposes is 1. Extensive sewerage schemes are now (1.
The street tramways, opened in 1.
MATH1. 05. 4 Mathematics for Engineering and the Environment . Differentiation: basic rules; differentiation of standard functions; Newton's method for finding roots; partial differentiation. Integration: definition of integral; standard integrals; substitution; integration by parts; numerical integration. Complex numbers: graphical representation; algebra; polar form; Euler's formula and exponential form. Differential equations : classification; simple first and second order differential equations. Functions: inverse; trigonometric; exponential, logarithmic and hyperbolic. Differentiation: maxima, minima and points of inflection; curve sketching; parametric, implicit and logarithmic differentiation; Taylor and Maclaurin series.
Integration: substitution; applications to centroids, volumes of revolution, etc. Integration: rational functions; improper integrals. Integration: double integrals; polar coordinates; triple integrals. Differential equations: solution of first order ODEs (separable, homogenous, linear and exact). Differential equations: linear operators; linear inhomogeneous second order ODEs; free and forced oscillators. Vectors: basic properties; Cartesian components, scalar and vector products.
Vectors: triple products; differentiation and integration of vectors; vector equations of lines and planes. Matrix algebra: terminology; addition, subtraction and multiplication of matrices; determinants. Matrix algebra: inverse of a matrix using cofactors; systems of linear equations; inverse of a matrix using the elimination method. Matrix algebra: rank; eigenvalues and eigenvectors. Further calculus: sequences and series; Rolle's and mean value theorems; Taylor's and Maclaurin's theorems.
Complex numbers: trigonometric and hyperbolic functions; logarithm of a complex number; De Moivre's theorem; roots; simple loci in the complex plane. Statistics: probability; conditional probability; combinations and permutations; discrete and continuous random variables. Statistics: mean and standard error of sample data; normal distribution; sampling; confidence intervals; hypothesis testing. Teaching and learning methods.
Teaching methods include . Learning activities include . Theare are copies of the alternative core textbook (Stroud, 6th edition) in the Hartley library (8 copies, 2 in short loan, library code QA1. STR). Older versions of the core textbooks (James 4th or 3rd edition, Stroud 5th edition) can also be used, and the library holds several copies.