CALCULUS Calculus is the study of change which focuses on limits‚ functions‚ derivaties‚ integrals‚ and infinite series. There are two main branches of calculus: differential calculus and integral calculus‚ which are connected by the fundamental theorem of calculus. It was discovered by two different men in the seventeenth century. Gottfried Wilhelm Leibniz – a self taught German mathematician – and Isaac Newton - an English scientist - both developed calculus in the 1680s. Calculus is used in a
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can be defined in 10 pages. So the topics that follow are ones that I found importance in and were used very frequently to solve the problems in this semester. The topics to come are Shear Stresses for Beams in bending‚ Castigliano’s Theorem‚ Distortion Energy Theorem for Ductile Materials‚ Mechanics of Power screws‚ and Fatigue loading
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When it comes to Euclidean Geometry‚ Spherical Geometry and Hyperbolic Geometry there are many similarities and differences among them. For example‚ what may be true for Euclidean Geometry may not be true for Spherical or Hyperbolic Geometry. Many instances exist where something is true for one or two geometries but not the other geometry. However‚ sometimes a property is true for all three geometries. These points bring us to the purpose of this paper. This paper is an opportunity for me to
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Lovely Professional University‚ Punjab Course Code Course Title Course Planner Lectures ECE220 SIGNAL AND SYSTEMS 15712::Rosepreet Kaur Bhogal Course Category Tutorials Practicals Credits Courses with numerical and conceptual focus 3.0 1.0 TextBooks Sr No Title Author Edition T-1 SIGNALS AND SYSTEMS ALAN.V.OPPENHEIM Year 2nd Publisher Name PRENTICE HALL Reference Books Sr No Title Author Edition Year Publisher Name
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is dynamic. Things are constantly changing. However‚ too often decisions are based on static information. Bayes theorem takes advantage of dynamic information to give a better‚ more correct answer. Bayes Theorem is a mathematical representation that helps one to calculate conditional probability. It relates inverse representation of the probabilities concerning two events. This theorem is named after the British Mathematician Thomas Bayes. It is represented by P(A‚ B)= P(A B) P(B) or P (A‚ B)=P(B
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------------------------------------------------- [edit]The Pythagorean Theorem Pythagoras‚ depicted on a 3rd-century coin In a right triangle: The square of the hypotenuse is equal to the sum of the squares of the other two sides. The Pythagorean theorem is named after the Greek mathematician Pythagoras‚ who by tradition is credited with its discovery and proof‚[1][2] although it is often argued that knowledge of the theorem predates him. There is much evidence that Babylonian mathematicians understood
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Mathematicians have long been intrigued by Pierre Fermat’s famous assertion that Ax + Bx = Cx is impossible (as stipulated) and the remark written in the margin of his book that he had a demonstration or "proof". This became known as Fermat’s Last Theorem (FLT) despite the lack of a proof. Andrew Wiles proved the relationship in 1994‚ though everyone agrees that Fermat’s proof could not possibly have been the proof discovered by Wiles. Number theorists remain divided when speculating over whether or
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Cauchy was born on August 21‚ 1789 and grew up in Paris as a young child [6‚ p.1]. Life was difficult because it was during the time of the French Revolution. Cauchy’s family moved to Arcueil‚ fearing the dangers of life in Paris [6‚ p.1]. Nevertheless‚ they soon returned to Paris and Cauchy began his education. Most of Cauchy’s early education was from his father‚ Louis Francois Cauchy. The family was often visited by mathematicians‚ such as Lagrange and Laplace. Lagrange took a deep interest
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and American Brand 4 II. AT&T and Baltimore Gas and Electric 4 III. Largest potential capital gain 4 Annexures 5 Summary of Facts Gilda Sears who is enrolled in an Investments class has picked a project on bond price theorems. The two main theorems that she decided to illustrate dealt with coupon rate and term-to-maturity and how these factors influence the price. Thus she included 2 bonds with the same rating and term with a different coupon rate‚ as well as two bonds with the
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MATH1081 Discrete Mathematics T. Britz/D. Chan/D. Trenerry §5 Graph Theory Loosely speaking‚ a graph is a set of dots and dot-connecting lines. The dots are called vertices and the lines are called edges. Formally‚ a (finite) graph G consists of A finite set V whose elements are called the vertices of G; A finite set E whose elements are called the edges of G; A function that assigns to each edge e ∈ E an unordered pair of vertices called the endpoints of e. This function is called the edge-endpoint
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