Treasure Hunt: Finding the Values of Right Angle Triangles This final weeks course asks us to find a treasure with two pieces of a map. Now this may not be a common use of the Pythagorean Theorem to solve the distances for a right angled triangle but it is a fun exercise to find the values of the right angle triangle. Buried treasure: Ahmed has half of a treasure map‚which indicates that the treasure is buried in the desert 2x + 6 paces from Castle Rock. Vanessa has the other half of the map
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Buried Treasure MAT 221 Instructor Date Buried Treasure In this essay of Buried Treasure we will use many different ways to attempt to factor down three expressions problems. Our first problem from our reading talks about Ahmed and Vanessa‚ Ahmed has half of a treasure map‚ which indicates that the treasure is buried in the desert 2x + 6 paces from Castle Rock. The other half of the map is in Vanessa possession and her half indicates that to find the treasure‚ one must
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The aim of this task is to investigate geometric shapes‚ which lead to special numbers. The simplest example of these are square numbers‚ such as 1‚ 4‚ 9‚ 16‚ which can be represented by squares of side 1‚ 2‚ 3‚ and 4. Triangular numbers are defined as “the number of dots in an equilateral triangle uniformly filled with dots”. The sequence of triangular numbers are derived from all natural numbers and zero‚ if the following number is always added to the previous as shown below‚ a triangular number
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Absolute values In an absolute value‚ everything with it is counted as a positive. ∣-a∣ = --a= a ∣a∣ =a In an equation‚ absolute values have two possibilities when talking about equations ∣a+b∣ =x = a+b=x = a+b= -x e.g. Solve ∣x-4∣=8 x-4=8 OR x-4= -8 x=12 x=-4 Sub both answer into the equation ∣12-4∣ =8 OR ∣-4-4∣ =8 8=8 8=8 Both solution re true so x=12 or x=-4 Absolute inequalities (method 1) If ∣a+b∣ ≤x∣a+b∣
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De La Salle Health Sciences Institute Math 113 Final Output “THE MATHEMATECAL CONCEPTS BEHIND A WHEELCHAIR” Submitted to: Ms. Mae Salansang Submitted By: Fernandez‚ Mitzi Joy Herradura‚ Phyllis Yna Masajo‚ Queenie Nicole Redoble‚ Mycah Marie Santos‚ Jhuneline Tampos‚ John Pablo BSPT 1 – 4 “THE MATHEMATECAL CONCEPTS BEHIND A WHEELCHAIR” Introduction Wheelchairs come in all shapes and sizes. People who have issues with immobility or decreased sensation frequently cannot
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Society for Industrial and Applied Mathematics The Discrete Cosine Transform∗ Gilbert Strang† Abstract. Each discrete cosine transform (DCT) uses N real basis vectors whose components are π cosines. In the DCT-4‚ for example‚ the jth component of vk is cos(j + 1 )(k + 1 ) N . These 2 2 basis vectors are orthogonal and the transform is extremely useful in image processing. If the vector x gives the intensities along a row of pixels‚ its cosine series ck vk has the coefficients ck = (x‚ vk )/N . They are
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The Discrete Cosine Transform (DCT): Theory and Application 1 Syed Ali Khayam Department of Electrical & Computer Engineering Michigan State University March 10th 2003 1 This document is intended to be tutorial in nature. No prior knowledge of image processing concepts is assumed. Interested readers should follow the references for advanced material on DCT. ECE 802 – 602: Information Theory and Coding Seminar 1 – The Discrete Cosine Transform: Theory and Application 1. Introduction
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Direction Cosine Matrix IMU: Theory William Premerlani and Paul Bizard This is the first of a pair of papers on the theory and implementation of a direction-cosine-matrix (DCM) based inertial measurement unit for application in model planes and helicopters. Actually‚ at this point‚ it is still a draft‚ there is still a lot more work to be done. Several reviewers‚ especially Louis LeGrand and UFO-man‚ have made good suggestions on additions and revisions that we should make and prepared some figures
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Sine‚ Cosine‚ and Tangent Functions Essential Questions: What is a function? How is the sine definition different from the sine function? Cosine? Tangent? From the graph of these functions‚ list some properties that describe them? Rebecca Adcock‚ a former student of EMAT 6690 at The University of Georgia‚ and I agree that the concept of the Sine‚ Cosine Functions will occur at lesson 6 of a beginning trigonometry unit. I praise her and her work because I want to use her thoughts on this particular
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its throughput and power keeping the constraints in mind. This paper summarizes the CORDIC architectures‚ presents a simulation of basic CORDIC cell and Implements Unfolded CORDIC Architecture on Spartan XC3S50 FPGA family. Keywords— CORDIC‚ Sine‚ Cosine‚ FPGA‚ CORDIC throughput III. In Section IV we discuss the implementation of CORDIC algorithm in an FPGA and the simulation of basic CORDIC cell using Xilinx tool and XC3S50 Spartan3 family of FPGA is presented. The conclusion along with future
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