Diego‚ Calif‚ USA‚ 1999. 2 S. G. Samko‚ A. A. Kilbas‚ and O. I. Marichev‚ Fractional Integrals and Derivatives‚ Theory and Applications‚ Gordon and Breach‚ Yverdon‚ Switzerland‚ 1993. 3 K. S. Miller and B. Ross‚ An Introduction to the Fractional Calculus and Fractional Differential Equations‚ John Wiley & Sons‚ New York‚ NY‚ USA‚ 1993. Netherlands‚ 2006. 1038–1044‚ 2010. Theory‚ Methods & Applications A‚ vol. 72‚ no. 2‚ pp. 710–719‚ 2010. no. 17‚ pp. 8526–8536‚ 2012.
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11/7/12 Calculus Research paper Raidah Zaman Calculus is the branch of math that deals with the finding and properties of derivatives and integrals of functions. Wilhelm Gottfried Leibniz (1646-1716) and Isaac Newton (1642-1727) are considered the inventors of Calculus. . There are also many branches in calculus. Derivatives are one of the main topic for algebra. A derivative goes under the topic differentiation. A derivative has two definition one is geometrical (like a slope of a curve)
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Calculus: Calculus (Latin‚ calculus‚ a small stone used for counting) is a branch of mathematics focused on limits‚ functions‚ derivatives‚ integrals‚ and infinite series. This subject constitutes a major part of modern mathematics education. It has two major branches‚ Differential Calculus and Integral Calculus‚ which are related by the fundamental theorem of calculus. Calculus is the study of change‚ in the same way that geometry is the study of shape and algebra is the study of operations
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www.Vidyarthiplus.com UNIT-I PART-B −2 2 −3 1. Find all the eigenvalues and eigenvectors of the matrix 2 1 −6 −1 −2 0 7 −2 0 2. Find all the eigenvalues and eigenvectors of the matrix −2 6 −2 0 −2 5 3. Find all the eigenvalues and eigenvectors of the matrix 2 2 1 1 3 1 1 2 2 2 −1 2 4. Using Cayley Hamilton theorem find A when A= −1 2 −1 1 −1 2 4 1 2 −2 5. Using Cayley Hamilton theorem find A When A = −1 3 0 0 −2 1 −1 1 0 3 6. Using Cayley Hamilton theorem find A find A = 2 1 −1 1 −1 1 −1 −1 0
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Probability refers to the likelihood or relative frequency for something to happen. Blaise Pascal is referred to as the father of probability. Pascal contributed to the branch of mathematics known as probability in 1653. Through his work in probability‚ Pascal invented the binomial coefficients which are now known as Pascal’s Triangle. Pascal’s major input to the philosophy of mathematics came with his “Of the Geometric Spirit””.1 Blaise Pascal was also a major contributor to the founding of Statistics
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but still as a statue I was‚ as my soft‚ brown skin would rather be showered with bodily fluids because I was thinking about my failure. My failure in Calculus. Two months earlier‚ I speculated how exciting it would be to challenge myself‚ and I pronounced how great of a challenge it would be to spend my summer taking an online-based Calculus class through Frederick Community College‚ and I desired how I wanted to take a risk out of my boundaries‚ so I registered. Most importantly‚ I wanted to
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Vector Analysis Definition A vector in n dimension is any set of n-components that transforms in the same manner as a displacement when you change coordinates Displacement is the model for the behavior of all vectors Roughly speaking: A vector is a quantity with both direction as well as magnitude. On the contrary‚ a scalar has no direction and remains unchanged when one changes the coordinates. Notation: Bold face A‚ in handwriting A . The magnitude of the vector is denoted by A A
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better. One such moment occurred recently‚ in junior year‚ when I almost failed Pre-Calculus. Academically‚ I have always been strong. Teacher assigns an essay on the symbolic values of the color green? No problem. Physics lab report due the next day? I’ll get it done. Using scalar multiplication to do something strange to vectors? Might take some blood‚ sweat and tears. This became a huge problem in Pre-Calculus. Math has always been hard from me and once the alphabet snuck its way in with the
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was confident that I had adapted to the non-stopping thinking model of my life until a week before term one ended. " Mom! Did you see my calculus worksheet?" I yelled while flipping through all my folders on the floor. " Did you clean my room again?" ‚ignoring that my anxiety had secretly crept through my nerves and terminated my
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Only 5% of adults use calculus in America. Kids in our society are forced to learn some things that they should not be forced to learn. People in our society think that students need to learn a bunch of stuff that they do not need to learn. Kids do not need to learn some things they are made to learn. Almost all of the kids don’t use a lot of things that they learn in school. For example in my family my parents or anyone for that matter almost uses no algebra. Yet they spent years of their
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