Boyer‚ Carl. B (1991) The History of Mathematics. 2nd Edn. New York: John Wiley & Sons. 2. Kaplan‚ R. (1999) The Nothing That is: A Natural History of Zero. London: Penguin Group. 3. O ’Connor‚ J. J and Robertson E. F (1996) The History of Calculus. Available at: http://www-history.mcs.st-and.ac.uk/HistTopics/The_rise_of_calculus.html (Accessed: 30 January 2011). 4. O ’Connor‚ J. J and Robertson E. F (2000) A History of Zero. Available online at: http://www-history.mcs.st-and.ac.uk/HistTopics/Zero
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and tuning [4-6]. In recent years‚ the extension of derivative and integration order from integer to fractional order provides more flexibility in the design of the controller‚ there by controlling the wide range of dynamics of a system. Fractional calculus is a mathematical analysis which studies the ability of taking real number power of the differential operator and integration operator. It is an extension of the concept dny(t)/dtn where n is an integer number to the concept dαy(t)/dtα where α is
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Evening Course Listing Course ABS210Y1 ABS220Y1 ABS231H1 ABS310Y1 ACT230H1 ACT470H1 ANT100Y1 ANT200Y1 ANT203Y1 ANT253H1 ANT341H1 ANT346H1 ANT440H1 ANT481H1 ANT484H1 ANT484H1 APM236H1 APM346H1 APM446H1 APM462H1 ARH482H1 BIO120H1 BIO130H1 BIO230H1 BIO251H1 BIO255H1 CHM138H1 CHM139H1 CHM220H1 CHM247H1 CHM325H1 CHM426H1 CHM446H1 CLA204H1 CLA204H1 CLA219H1 CLA231H1 CLA305H1 CLA310H1 CLA321H1 CLA362H1 CLA367H1 CSB428H1 CSB429H1 CSB435H1 CSB452H1 CSB458H1 CSB475H1 CSB483H1 CSC104H1 CSC108H1 CSC108H1 CSC120H1
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possible outcomes or consequences of an action before we decide on the choice we will make. His adaptation of the theory also changed many laws because it was thought to be to correct to consider the consequences. Bentham also created the Hedonic calculus which was helpful in determining measurements of pleasure‚ which can be used with the utiltitarian theory. There are 2 main types of utilitarianism‚ the first I will talk about is Rule. Rule utilitarianism has certain principles involved with it
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Aryabhata (476–550 CE) was the first in the line of greatmathematician-astronomers from the classical age of Indian mathematics and Indian astronomy. His most famous works are the Aryabhatiya (499 CE‚ when he was 23 years old) and the Arya-siddhanta. Name While there is a tendency to misspell his name as "Aryabhatta" by analogy with other names having the "bhatta" suffix‚ his name is properly spelled Aryabhata: every astronomical text spells his name thus‚[1] including Brahmagupta’s references to
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by 30 percent‚ since 30%/10% = 3. This increase in demand for WordPerfect occurs because consumers substitute away from Word and toward WordPerfect‚ due to the price increase. A Calculus Alternative When the demand function is the cross-price elasticity of demand between goods X and Y may be found using calculus: More generally‚ whenever goods X and Y are substitutes‚ an increase in the price of Y leads to an increase in the demand for X. Thus‚ whenever goods X and Y are substitutes. When
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The Impact of Mathematics on the Physical Sciences Intro Many great mathematicians of the past had an impact on physical sciences. This paper will discuss the historical background‚ respective times‚ and contemporary and modern societal contributions of three of those mathematicians: Archimedes of Syracuse‚ Isaac Newton‚ and Leonhard Euler. Archimedes of Syracuse Archimedes was born in a Greek city-state of Syracuse‚ Sicily in 287 BC. He was killed during a Roman incursion in 212 BC during
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Information Technology FIT3080: Intelligent Systems Ramesh Kumar Ayyasamy Sunway Campus ramesh .kumar@monash.edu My tutorial ground rules 1 During tutorial hours‚ you are allowed only to - do the given tutorial tasks as mentioned in Moodle. 2 During tutorial hours‚ you are not allowed to - not allowed to use Facebook‚ YouTube or any such activities which is not related to tutorial. - not allowed to use mobile phones or chatting with your girl friends or boy friends.
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Long gone are the days of spending numerous hours of the day keeping yourself occupied with nature. This new era has been filled with high-speed computers‚ game consoles‚ cell-phones and two-way messengers. In today ’s classrooms‚ many youth are plugging formulas into their graphing calculators rather than working it out on a piece pf paper. This era is very different than that of our parents ’. Pen and paper have gone to the wayside and laptops are the new notepad. Is technology helping the
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basis for making moral decisions and looks at the amount of pleasure caused by the action in order to make a decision. Bentham then included a way of calculating the amount of pleasure devised from a particular action with what is called the Hedonic Calculus. This included seven criteria that had to be answered in order to sum up whether the decision would be the right thing to do. Utilitarianism is a teleological argument. It is concerned with the consequences of actions‚ and does not take the actions
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