Why should we gain knowledge? What purpose does it have in our lives? A quick or succinct answer to that would be that we want to answer the doubts in our lives and learn how to survive in the world we live. However‚ gaining knowledge is not something we have complete control over. As babies‚ we are always gaining new knowledge unconsciously and unintentionally‚ that we then apply in our everyday lives to make it easier. For example‚ when a baby cries‚ his mother comes rushing to him to soothe him
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Introduction The thrill and anticipation of going up to serve in the tennis match of your life is starting to weigh down on you. Everybody knows that this opening serve is going to make or break the match‚ so you can’t mess this up. There are so many things to think about and consider‚ where do you want to hit the tennis ball‚ what about the force you put into the racket‚ which type of serve is best‚ the list goes on and on! What if there was a single equation that is able to determine the “Perfect
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Pythagoras: A Universe made of Numbers PART 1 Pythagoras & His Philosophy Pythagoras of Samos is often described as the first pure mathematician. He is an extremely important figure in the development of mathematics yet there is relatively little known about his mathematical achievements. Unlike many later Greek mathematicians‚ where at least we have some of the books which they wrote‚ there is nothing of Pythagoras’s writings. The society which he led‚ half religious and half scientific
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5/15/13 Aryabhata - Wikipedia‚ the free encyclopedia Aryabhata From Wikipedia‚ the free encyclopedia Aryabhata (Sanskrit: आयभट listen; IAST: Āryabhaṭa) or Aryabhata I[1][2] (476–550 CE)[3][4] was the first in the line of great mathematician-astronomers from the classical age of Indian mathematics and Indian astronomy. His works include the Āryabhaṭīya (499 CE‚ when he was 23 years old)[5] and the Arya-siddhanta. The works of Aryabhata dealt with mainly mathematics and astronomy. He also
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sin 2 θ Reduce the most complicated side first and collect like terms. Cross Multiplication Transposition cos θ (sec θ − cos θ ) = sin 2 θ cos θ sec θ − cos 2 θ = Expand the left side. By Reciprocal Identities. 1 − cos θ = 2 By Pythagorean Identities. sin2 θ = sin2 θ 1 Example 2 2. csc 3 x − csc x + cot x = cot 2 x + cos x csc x If you have only one term in the denominator and many in the numerator.....divide the denominator into each term in the
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Section 5.2 Trigonometric Functions of Real Numbers The Trigonometric Functions EXAMPLE: Use the Table below to find the six trigonometric functions of each given real number t. π π (a) t = (b) t = 3 2 1 EXAMPLE: Use the Table below to find the six trigonometric functions of each given real number t. π π (a) t = (b) t = 3 2 Solution: (a) From the Table‚ we see that the terminal point determined by √ t = √ is P (1/2‚ 3/2). Since the coordinates are x = 1/2 and π/3 y = 3/2‚ we have √ √ π 3
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1. Art (Parthenon‚ sculptures of Phidias‚ etc.‚ source of inspiration for Roman and all sorts of sub. art) The Greeks excelled in sculpture. Their works are impressive for their handling of human anatomy‚ and details like hair and clothing. They are also impressive for their handling of motion (cf. "Discobolus)‚ and for capturing a wide range of human emotions and moods. Some sculptures are comic‚ others very serious. The Greeks sculptors could inspire patriotism and the love of liberty--and
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THE REAL NUMBER SYSTEM The real number system evolved over time by expanding the notion of what we mean by the word “number.” At first‚ “number” meant something you could count‚ like how many sheep a farmer owns. These are called the natural numbers‚ or sometimes the counting numbers. Natural Numbers or “Counting Numbers” 1‚ 2‚ 3‚ 4‚ 5‚ . . . * The use of three dots at the end of the list is a common mathematical notation to indicate that the list keeps going forever. At some point‚ the
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Laboratory I: Problems 4 and 5 Deflection of an Electron Beam by an Electric Field and Deflection of an Electron Beam and Velocity By: John Greavu Partners: Shane Ruff‚ Hannah Eshenaur‚ & David Sturg Professor: John Capriotti TA: Barun Dhar July 19‚ 2013 OBJECTIVE: The objective of this lab was to scientifically determine the deflection of an electron from its original path due to its passing through an electric field as a function of the electric field strength (problem 4)‚ as well as its initial
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Father of Science. Later came the Pythagoreans who followed Pythagoras‚ the Father of Numbers. He said that the basis for everything was numbers. His idea was that everything could be broken down into numbers. If a volcano were to explode or a fire was to destroy a town Pythagoras believed that it was because of numbers. His idea is still being used today by scientists‚ mathematicians‚ and even higher level algebra students as he later created the Pythagoras theorem. Then someone said‚ “man is measure
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