Thevenin’s Theorem 1. What is Thevenin’s theorem? What purpose does it serve? Thevenin’s theorem states that any resistive circuit or network‚ no matter how complex‚ can be represented as a voltage source in series with a source resistance. It is used to simplify the load analysis of series-parallel circuits. 2. What is VTH ? How is it measured? Thevenin voltage. In a series-parallel circuit is the voltage present at the output terminals of the circuit when the load is removed. Even though it
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prior state probabilities‚ we use Bayes’ Theorem. So the posterior probability of the high performance state is P(H│GN) = P(H)P(GN│H) / P(H)P(GN│H) + P(L)P(GN│L) where P(H│GN) is posterior probability of high state given good news F/S P(H) is prior probability of high state P(GN│H) is probability F/S shows good news in high state P(L) is prior probability of low state P(GN│L) is probability F/S shows good news in low state Thus‚ from Bayes’ Theorem‚ we get P(H│GN) = (0.5 x 0.6) / [(0
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Judgment is commonly referred as an evaluation or an opinion. The word is often seen with a negative connotation of criticism. Yet‚ as much of a negative connotation as it withholds it is an action used to give one’s opinion about something. As our time period changes and the norms and standards change so does our judgment and views of the world. Thus‚ leading to the judgment of significant events that allow for the development of knowledge. This allows for the questioning of certain areas of knowledge
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the other two sides and its corresponding angle: Relate that either of these relations reduce to simpler forms for the case of right triangles‚ particularly: 1. Law of Sines reduces to c = c = c. 2. Law of Cosines reduces them to the Pythagorean Theorem. Solving Oblique Triangles Explore the types of triangles and how to solve them. All oblique triangles make full use of the sum of angles rule that A + B + C = 180º in all triangles. All other elements require select application of the Law of
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The life and brutal death of Hypatia of Alexandria has been a topic of debatable discussion since the 4th century C.E. She lived Alexandria‚ Egypt (the center of ancient knowledge) and while it is assumed that she learned the study of mathematics from her father‚ “Theon of Alexandria” it is known that she was the head geometry teacher of the Neo-Platonist school (Belenky‚ 2010). Hypatia is regarded as one of the first women that contributed in many ways to the field of mathematical findings that
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Syllabus for written Recruitment Examination for the post of Post Graduate Assistant in Tamil Nadu Higher Secondary Educational Service. ghl¤Â£l« : jäœ - (Subject Code P01) ÃçÎ 1 - bkhê MuhŒ¢Áæ‹ njh‰w« - bkhê Ïd§fŸ - Âuhél bkhêfŸ - tlbkhê Âuhél bkhêfS¡»ilna cŸs ntWghLfŸ. jäê‹bjh‹ik - ca® jå¢ br«bkhê - fhyªnjhW« jäœ - bjhšfh¥Ãa® fhy¤ jäœ gšyt®‚ gh©oa®‚ nrhH® fhy¤ jäœ. ÃçÎÃçÎ-2 brh‰bwhl® mik¥ò - brh‰bghUŸ kh‰w« - ng¢R¤ jäG«‚ vG¤J¤ jäG« - fl‹ th§fš fiy¢ brhšyh¡f«.. ÃçÎ 3 - vG¤J - brhš Ïy¡fz« - ah¥ò
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also introduced characters used to describe the numbers 10 and 100‚ making it easier to describe larger numbers. Geometry started to receive great attention and served in surveying land‚ cities and streets. The Babylonians discovered the Pythagorean theorem. They understood it before Pythagoras was even born. The Babylonians also found out the approximate value of r^2. In India‚ Aryabhata calculated the number p to its fourth decimal point‚ managed to correctly forecast eclipses and‚ when solving astronomical
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they also learned how to determine they lengths of objects from the Babylonians by using Pythagorean theorem. Building upon what they learned from the Egyptians and Babylonians they found fundamental truths in geometry‚ and from these truths they mad propositions called axioms‚ through deductive reasoning the Greeks would use these axioms to find new theorems that could be proven. These theorems would be used to find solutions of both practical and abstract nature. 2. Thales: Thales of Miletus
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Introduction: “You can learn more from solving one problem in many different ways than you can from solving many different problems‚ each in only one way.” Islamic civilization in the middle ages‚ like all of Europe‚ had a dichotomy between theoretical and practical mathematics. Practical mathematics was the common subject‚ “whereas theoretical and argumentative mathematics were reserved for specialists” (Abedljaouad‚ 2006‚ p. 629). Between the eighth and the fifteenth centuries‚ Islamic civilization
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sum of the area of squares of its adjacent and opposite sides.) Then let’s look at the famous Pythagoras theorem: “The square on the hypotenuse of a right angled triangle is equal to the sum of squares of its sides” The Sulba sutra was written on 12th century B.C. but the Pythagoras theorem was introduced on 6th century B.C‚ 600 years after Sulba sutra. That is‚ most of the works‚ theorems and concepts of mathematics existed in India on its own form even before in other countries. Let’s look at
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