...The Atlantic Trade Networks, also known as the Triangular Trade, consisted of multiple international networks where goods and materials became interchangeable between countries and regions around the world. The Triangular trade amended previous complication involving trade imbalances and created a unified, connected world through the means of trade. The Atlantic Trade created a new global network that drove a new form of a global economic system and impacted multiple countries through the commerce of silver and fur. Silver impacted the countries of China, Japan, and Bolivia while the fur trade changed the economic and social structures of North America and Russia. The economic structure, political system and agricultural system...
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...kidnapped Africans were forced into the Transatlantic slave trade and shipped to the Americas, only a little over 10 million made it. The Transatlantic slave trade was a small segment of the popular global slave trade network and was responsible for the deaths of over two point two million future slaves. This mass kidnapping of oblivious Africans occurred across the Atlantic from the early sixteenth to nineteenth century and was the second part of the “Triangular Trade”. The Triangular Trade or Triangle Trade was a trading system between Europe, Africa, and the North America in which commodities such as arms, slaves, sugar, and coffee were transported between the three nations (Lewis). The...
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...In 1619 African slaves were forced to migrate to America to help with plantations and crops, such as tobacco and cotton. At this time America was known as the “New World.” The ships the slaves came in on were called Navire Negrier. These ships took a route knows as the Triangular Trade. Once the slaves arrived in America, life was difficult. Former slave Olaudah Equiano, explains a little about their life once they reached America. Life on the ships was poor and not easy. Slaves spent several months on these ships at a time. This caused sicknesses, even multiple deaths. Not only was the physical health on these ships poor, but so was the mental health from the abuse. Women and children were kept in different parts of the ships, which were extremely crowded and exposed the women to sexual abuse. Air quality was very low, and the heat was extreme. The slaves were fed twice a day, and some of them were force- fed. Once the slaves died, they were thrown overboard in the water. One in every 5 Africans died on the ship because of these terrible conditions. Because of this, the British and the French created a law called the Code Noir. The Code Noir forced...
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...From the introduction of slavery to the Americas in 1619, to the massive economic growth came success and disaster for both American and Africans. In this passage it is planned to describe the development of slavery in the American colonies. As well as the economic impact of slavery on the American colonies, and how from slavery a 'triangular trade' would be created. Using supportive facts and a written testimonial from Harriet Jacobs published in the year 1861. Ultimately leading and ending to the discussion of the many attitudes and changes that were created in the colonial legal system that made a slavery system flourish. Around the mid fifteenth century an Atlantic slave trade system was introduced when the interests of the Portuguese moved away from common resources most especially when gold became more difficult to gather. The Portuguese than looked to something that would be more profitable. A process would develop in the gathering of slaves whether through barter, between a European slave trader, kidnapping or rival tribe leaders that had raved other African tribes. The focus would become the usage of slaves and the selling of the African race for a very hefty profit. The development of slavery in the colonies led to mass production in the labor field. This event in history is where the idea of African slavery...
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...The Triangular Trade was the fundamental foundation of the development of the United States. However, this historical milestone did not develop overnight, it actually took centuries to excel past the African slave trade. Additionally, America, Europe, and Africa would not be the same without the three hundreds years of trading internationally. Thus, the Triangular Trade was the building blocks of our nation, economically affected the world, and ultimately impacted racial issues we are having in today’s society. The Triangular Trade process was distinctive yet straightforward, specifically the exchange of goods and slaves. The Triangular Trade was a three-sided international exchange of goods involving Europe to Africa, Africa to the Americas, and the Americas to Europe. The first leg was European ships sailing to Africa carrying iron commodity, textiles, rum, guns, ammunition, and manufactured goods in exchange for spices, gold, and most importantly slaves. The second leg involved ships sailing to the Americas voyaging through the route primarily known as the Middle Passage carrying the slave’s required to work on plantations in exchange for goods. A slave explains the ghastly conditions of the middle passage first-hand as, “This produced copious perspirations, so that the air soon became unfit for respiration, from a...
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...2.9 Cholesky Decomposition 89 compared to N 2 for Levinson’s method. These methods are too complicated to include here. Papers by Bunch [6] and de Hoog [7] will give entry to the literature. CITED REFERENCES AND FURTHER READING: Golub, G.H., and Van Loan, C.F. 1989, Matrix Computations, 2nd ed. (Baltimore: Johns Hopkins University Press), Chapter 5 [also treats some other special forms]. Forsythe, G.E., and Moler, C.B. 1967, Computer Solution of Linear Algebraic Systems (Englewood Cliffs, NJ: Prentice-Hall), §19. [1] Westlake, J.R. 1968, A Handbook of Numerical Matrix Inversion and Solution of Linear Equations (New York: Wiley). [2] von Mises, R. 1964, Mathematical Theory of Probability and Statistics (New York: Academic Press), pp. 394ff. [3] Levinson, N., Appendix B of N. Wiener, 1949, Extrapolation, Interpolation and Smoothing of Stationary Time Series (New York: Wiley). [4] Robinson, E.A., and Treitel, S. 1980, Geophysical Signal Analysis (Englewood Cliffs, NJ: PrenticeHall), pp. 163ff. [5] Bunch, J.R. 1985, SIAM Journal on Scientific and Statistical Computing, vol. 6, pp. 349–364. [6] de Hoog, F. 1987, Linear Algebra and Its Applications, vol. 88/89, pp. 123–138. [7] Sample page from NUMERICAL RECIPES IN FORTRAN 77: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43064-X) Copyright (C) 1986-1992 by Cambridge University Press. Programs Copyright (C) 1986-1992 by Numerical Recipes Software. Permission is granted for internet users to make one paper copy for their own personal...
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...------------------------------------------------- Faculty of Engineering ------------------------------------------------- ELECTRONICS ENGINEERING DEPARTMENT ------------------------------------------------- Second Semester, AY 2014 – 2015 MACHINE PROBLEM ADVANCED ENGINEERING MATHEMATICS Submitted by: MIGUEL AGUILA CARLO ENRICO LATONIO MERYL GRACE T. SANTIAGO PAUL VINCENT C. SUAREZ 3ECE-C Engr. Krizzy Kanny David Instructor April 15, 2015 I. DESCRIPTION The program is constructed to be able to determine the decomposition of a positive definite square matrix, with eigenvalues that are real and greater than zero using cholesky-decomposition method. For matrix A the formula is A=LLT . The program will have an output of a lower and triangular matrix with elements obtain using the cholesky algorithm. For a 4x4 matrix, A= l110l21l31l41l22l32l42 0 0 0l33l43 0 0l44l11l21000l2200l31 l41 l32l330l42l43l44 .To be able to decompose, the group used the Cholesky algorithm with formulas: l11= a11 , lj1=aj1l11 , lj,j=ajj- k=1j-1lj,k2 and li,j=1lj,j(ai,j-k=1j-1lj,klj,k). II. CODE A=input('Enter A: '); n=sqrt(numel(A)); l(n,n)=1; lt(n,n)=1; for i=1:n for j=1:n P=0; if i==j for k=1:j if k==1 p=A(j,j); else p=-(l(j,k-1)^2); end P=P+p; end l(j,j)=sqrt(P); lt(j,j)=sqrt(P); elseif i>j for k=1:j if k==1 p=A(i,j); else p=-l(i,k-1)*l(j,k-1); end P=P+p; end l(i,j)=P/l(j,j); ...
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...Name Pishoy Shehata Projectile Motion Go to http://phet.colorado.edu/simulations/sims.php?sim=Projectile_Motion and click on Run Now. Pre Lab Reflections: What are the ● What forces are at play on a body under fall ? Under free fall, the only force acting upon an object is the force of gravity. But realistically, there is also the force of friction from the air (Air Resistance) that opposes the force of gravity. ● Make a prediction of which angle results in maximum range. Activity: Open the sim, projectile motion. Familiarize yourself with the variables shown there. Ensure the air resistance check box remains unchecked. Using the mouse set the angle of projection(i) to 5 deg. Alternatively enter the value in directly. Set the initial speed to a value U=15m/s . Click on Fire to start the projectile and record the corresponding value of the range R. Repeat with values i= 10,15,20,25,30,35,40,45,50,60,70,75,80,85. Draw a graph of Range (R) against Angle of projection (i) You may want your lay out to appear like in the table. U=……… Angle (i) 5 10 15 20 30 35 40 45 50 55 60 65 Range(m) 9.7 12.2 14.9 17.5 21.8 23.2 24.0 24.1 23.6 22.4 20.6 18.1 70 75 80 85 15.2 11.65 7.81 3.92 From your graph, o Describe the shape of the graph obtained. Comment. o The graph has a maximum point and it opens downwards (nshaped) o Determine using the graph the angle for maximum range. o Maximum range is at 45 degrees Post activity discussion:...
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...Tear of the Triangular Fibrocartilage Complex (TFCC): The TFCC can be acutely injured if the wrist is subjected to a large compressive load in a position of extension and ulnar deviation as this causes increased load and impinges the TFCC between the distal ulnar and the proximal carpal row. Whilst Degenerative changes have most commonly been associated with increased age, overuse injuries or positive ulnar variance which causes ulnocarpal impaction during wrist movements and degradation of the TFCC This is where I will place your video submission. You do not need to do anything here. This is just a space saver. This is where I will place your video submission. You do not need to do anything here. This is just a space saver. Typical patient features and presenting history: Populations most at risk of TFCC tears are gymnasts and racquet sport players due to the large compressive forces applied to the wrist in extension and ulnar deviation or patients with the degenerative conditions listed above. Patients with a TFCC tear will present with ulnar sided wrist pain and a “clicking” sensation during movements such as wrist extension and ulnar deviation. The mechanism of injury will normally be a traumatic incident (i.e. A fall onto on outstretched hand) or a history of repetitive compressive activities applied to the wrist, such as tennis. When describing their symptoms the patient should describe symptoms that are aggravated by activity and improve with rest. They may also report...
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...Toolbox Part I. Background. It is not easy to calculate eigenvalues for most matrices. Characteristic polynomials are difficult to compute. Even if you know the characteristic polynomial, algorithms such as Newton's method for finding zeros cannot be depended upon to produce all the zeros with reasonable speed and accuracy. Fortunately, numerical analysts have found an entirely different way to calculate eigenvalues of a matrix A, using the fact that any matrix similar to A has the same eigenvalues. The idea is to create a sequence of matrices similar to A which converges to an upper triangular matrix; if this can be done then the diagonal entries of the limit matrix are the eigenvalues of A. The remarkable discoveries are that the method can be done with great accuracy, and it will converge for almost all matrices. In practice the limit matrix is just block upper triangular, not truly triangular (because only real arithmetic is done), but it is still easy to get the eigenvalues from that. See Note 2 below. The primary reason that modern implementations of this method are efficient and reliable is that a QR factorization can be used to create each new matrix in the sequence. Each QR factorization can be calculated quickly and accurately; it yields easily a new matrix orthogonally similar to the original matrix; and orthogonal similarities tend to...
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...Problems Question 1 #1 c only, Be sure to 1) identify all of the paths in the diagram and their lengths, 2) indicate which is the critical path, 3) work out the ES, EF, LS, LF for each activity, 4) what are the slack times for each activity? Solution Path | Expected Path Time | 1-2-5-12-16 | 44 | 1-3-6-13-16 | 39 | 1-3-7-14-16 | 41 | 1-4-8-9-10-11-15-16 | 35 | 1-4-8-10-11-15-16 | 38 | The critical path in this diagram is 44, that is 1-2-5-12-16 as the slack time is 0. Activity | ES | EF | LF | LS | Slack | 1-2 | 0 | 10 | 10 | 0 | 0 | 2-5 | 10 | 24 | 24 | 10 | 0 | 5-12 | 24 | 37 | 37 | 24 | 0 | 12-16 | 37 | 44 | 44 | 37 | 0 | | | | | | | 1-3 | 0 | 14 | 19 | 5 | 5 | 3-6 | 14 | 29 | 34 | 19 | 5 | 6-13 | 29 | 35 | 40 | 34 | 5 | 13-16 | 35 | 39 | 44 | 40 | 5 | | | | | | | 1-3 | 0 | 14 | 14 | 0 | 3 | 3-7 | 14 | 25 | 28 | 17 | 3 | 7-14 | 25 | 38 | 41 | 28 | 3 | 14-16 | 38 | 41 | 44 | 41 | 3 | | | | | | | 1-4 | 0 | 3 | 9 | 6 | 6 | 4-8 | 3 | 11 | 17 | 9 | 6 | 8-10 | 11 | 15 | 21 | 17 | 6 | 10-11 | 15 | 22 | 28 | 21 | 6 | 11-15 | 22 | 28 | 34 | 28 | 6 | 15-16 | 28 | 38 | 44 | 34 | 6 | | | | | | | 1-4 | 0 | 3 | 12 | 9 | 9 | 4-8 | 3 | 11 | 20 | 12 | 9 | 8-9 | 11 | 12 | 21 | 20 | 9 | 10-11 | 12 | 19 | 28 | 21 | 9 | 11-15 | 19 | 25 | 34 | 28 | 9 | 15-16 | 25 | 35 | 44 | 34 | 9 | Question 7 Three recent college graduates have formed a partnership and have opened an advertising firm. Their...
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...Output For “C” code of BISECTION METHOD This Program will find the Root of the Equation f(x) = x^3 - 4x -9 ************ By Bisection Method ************ Enter the range in which root lies................. Enter the value for the lower limit - 2 Enter the value for the upper limit - 3 Enter the limit of error allowed - 0.00001 The value of function at 2.000000 is = -9.000000 The value of function at 3.000000 is = 6.000000 Iterations Start now............................ The value of function at 2.500000 is = -3.375000 The value of function at 2.750000 is = 0.796875 The value of function at 2.625000 is = -1.412109 The value of function at 2.687500 is = -0.339111 The value of function at 2.718750 is = 0.220917 The value of function at 2.703125 is = -0.061077 The value of function at 2.710938 is = 0.079423 The value of function at 2.707031 is = 0.009049 The value of function at 2.705078 is = -0.026045 The value of function at 2.706055 is = -0.008506 The value of function at 2.706543 is = 0.000270 The value of function at 2.706299 is = -0.004118 The value of function at 2.706421 is = -0.001924 The value of function at 2.706482 is = -0.000827 The value of function at 2.706512 is = -0.000279 The Approximate root of the above function is = 2.706528 and the value of function is = -0.000004 The number of Iterations are = 16 Output For “C” code of NEWTON – RAPHSON METHOD This Program will find the Root of the Equation f(x) =...
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...● Multiplying two Numbers ending in 5 Given: 42 × 15 Steps: - Divide the number by 2 42 ÷ 2 = 21 - Double the number ending with 5 15 × 2 = 30 - Multiply the quotient and the product 21 × 30 = 630 ↓ Final Answer Examples: 1. Given: 88 × 25 - 88 ÷ 2 = 44 - 25 × 2 = 50 - 44 × 50 = 2 200 → Final Answer 2. Given: 78 × 65 - 78 ÷ 2 = 39 - 65 × 2 = 130 - 39 × 130 = 5 070 → Final Answer 3. Given: 24 × 35 - 28 ÷ 2 = 14 - 35 × 2 = 70 - 14 × 70 = 980 → Final Answer ● Multiplying any Number with 5 Given: 48 × 5 Steps: - Divide the number by 2 48 ÷ 2 = 24 - Multiply the quotient by 10 or simply add zero 24 × 10 = 240 ↓ Final Answer Examples: 1. Given: 68 × 5 - 68 ÷ 2 = 34 - 34 × 10 = 340 → Final Answer 2. Given: 116 × 5 - 116 ÷ 2 = 58 - 58 × 10 = 580 → Final Answer 3. Given: 434 × 5 - 434 ÷ 2 = 217 - 217 × 10 = 2 170 → Final Answer ● Multiplying Numbers with Common First Digits Given: 21 × 23 Steps: - Multiply the uncommon digits 1 × 3 = 3 · Add the uncommon digits 1 + 3 = 4 - Multiply the sum with the common digit ...
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...USER DEFINED FUNCTION) MENU 1. CREATION OF AN ARRAY 2. SEARCHING ARRAY USING - 3. LINEAR SEARCH METHOD. BINARY SEARCH METHOD. SORTING ARRAY USING - SELECTION SORT - BUBBLE SORT - INSERTION SORT - MERGE SORT 4. INSERTING AN ELEMENT AT iTH POSITION 6. DELETING AN ELEMENT FROM AN ARRAY 7. 2. MERGE TWO ARRAYS OF INTEGERS IN ASCENDING OR DESCENDING ORDER 5. QUIT WRITE MENU DRIVEN PROGRAM TO SHOW FOLLOWING OPERATIONS IN A 2-D ARRAY (USING USER DEFINED FUNCTION) MENU 1. ADDING TWO 2-D ARRAYS 2. SUBSTRACTING TWO 2-D ARRAYS 3. MULTIPLYING TWO 2-D ARRAYS 4. CHECK WHETHER TWO 2-D ARRAYS ARE EQUIVALENT OR NOT 5. DISPLAY UPPER TRIANGULAR MATRIX 6. DISPLAY LOWER TRIANGULAR MATRIX 7. DISPLAY AND FIND SUM OF DIAGONAL ELEMENTS OF A 2-D ARRAY 8. DISPLAY AND FIND THE ROW-WISE SUM OF A 2-D ARRAY 9. DISPLAY AND FIND THE COLUMN-WISE SUM OF A 2-D ARRAY 10. QUIT 3. USING STRUCTURES WRITE A MENU DRIVEN PROGRAM TO ADD, SUBTRACT AND MULTIPLY AND DIVIDE TWO COMPLEX NUMBERS 4. USING STRUCTURES WAP TO CHECK THE VALIDY OF DATE 5. WRITE A PROGRAM TO DEFINE THE CLASS WORKER SHOWN BELOW CLASS WORKER ( PRIVATE : WNAME CHARACTER (20), WNO INTEGER, WGRATE FLOAT, HOURLYWAGERATE FLOAT, TOTWAGE FLOAT, CALCWAGE(HRWG,WGRATE) PUBLIC : WORKER(); INDATA(); OUTDATA(); ) WAP TO CREATE AN ARRAY OF n OBJECTS AND DISPLAY 6. WRITE A PROGRAM TO...
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...The Middle Passage was the triangular slave trade route between 1450 and 1860. It was called the triangular trade because he trade was between three countries. First, commercial goods were shipped to Africa for and traded for African slaves. The slaves were then brought to the Americas in exchange for raw materials. Finally the materials were brought back to Europe to complete the triangle. “For weeks, months, sometimes as long as a year, they waited in the dungeons of the slave factories scattered along Africa's western coast. They had already made the long, difficult journey from Africa's interior but just barely. Out of the roughly 20 million who were taken from their homes and sold into slavery, half didn't complete the journey to the African coast, most of those dying along the way” (T.M.P. 1) The Middle Passage was used by many ships carrying slaves to the Americas. African slaves were brought to the New World unwillingly. They were either purchased or kidnapped. The Middle Passage took about ninety days. However, at times it would take roughly a few months to transport Africans. None of them knew of the horrible journey they were about to encounter. “The system by which these human beings were been transported across the ocean was reported to be the worst of its kind in the history of mankind” (Adeuyan 40). The conditions aboard the ships crossing the Atlantic were horrible. Hundreds of slaves were packed below the deck of the ships. Slaves had to go to the bathroom...
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