Survey The matrix multiplication plays a vital role in many numerical algorithms, many kinds of researches have been done to make matrix multiplication algorithms efficient. The Strassen’s matrix multiplication [4] is most widely algorithm use to reduce the complexity. Various works have been done in order to implement strassen’s algorithm in many applications. Coppersmith-Winograd algorithm was asymptotically fastest known algorithm until 2010. Strassen-Winograd’s matrix multiplication plays a vital
learning. It is the math of writing numbers, counting to ten, and adding two plus two. In elementary math properly scrawling a “7” merits a “good job” sticker, and math’s possibilities never stretch beyond the basics of addition, subtraction, multiplication, and division. “Mad minute” tests—tests with 60 basic math problems to be completed in under one minute—are perhaps the only frightening aspect of elementary math. Teachers do not struggle to find real-world applications for the four pillars of
Cube Shaped Boxes and Supermarket Displays Introduction The question: Boxes made in the shape of a cube are easy to stack to make displays in supermarkets. Investigate! Plan ==== I will carry out this investigation by following these points: 1. Simplify the question by using 2-d shapes. 2. Draw 2-d designs. 3. Draw 3-d designs. 4. Evaluate my work. Detailed Plan To investigate each shape I will follow a pattern: 1. I will state which shape I am investigating
Number Grids Investigation Introduction In the following piece of coursework, I intend to investigate taking a square of numbers from a 10 x 10 grid, multiplying the opposite corners and then finding the difference between the two products. I was first asked to take a 2 x 2 square from a 10 x 10 grid, multiply the opposite corners and then find the difference. This is the result I received; 2x2 squares 15 16 25 26 Square 1 15 x 26 = 390 16 x 25 = 400 Difference
The Fibonacci sequence and its application to real world problems 1. Introduction Fibonacci sequences are set of numbers based on the rule that each number is equal to the sum of the preceding two numbers; it can be also evaluated by the general formula where F(n) represents the n-th Fibonacci number (n is called an index), the sum of values in pascal`s triangle diagonal also demonstrates Fibonacci sequences. The presentation and report are designed to discover the application of Fibonacci sequences
Davenport University is pleased to submit this request for proposal of services to all competing companies in achieving its goals for improving the universities technologies and student experience by providing a timely and cost effective method of delivery, installing, and configuring of these technologies systems. We have partnered with the information technology department with the school’s education board with the intent of improving the educational standards. It is crucial that the accuracy
Summary In this paper I will be talking about the Roman Numerals, a system that started showing up in the early 500 B.C. This system consists in symbols used to represent different numbers, most of these symbols have a meaning behind that has to do with using the hands. Just as we have rules in our system they also had their own rules that needed to be followed. They developed a way to write numbers in a larger way by placing bars in different places when writing a number, this meant that the number
Investigating The Area Under A Curve My aim is to find the area under a curve on a graph that goes from -10 to 10 along the x axis and from 0 to 100 on the y axis. The curve will be the result of the line y=x . I will attempt several methods and improve on them to see which one gives the most accurate answer. The graph I am using looks like this: - Counting Squares Method The first method I will use to find the area is the counting squares method. For this method I will draw the graph
Hidden Faces Geometric Investigation A cube a total of 6 sides, when it is places on a surface only 5 of the 6 faces can be seen. However if you place 5 cubes side by side, there is a total of 30 faces, but out of this 30 only 17 can be seen. In this coursework I will be finding out the Hidden Faces Coursework A cube a total of 6 sides, when it is places on a surface only 5 of the 6 faces can be seen. However if you place 5 cubes side by side, there is a total of 30 faces, but out of
middle of paper ... ...th Newton’s Theory of Gravitation. All Napier wanted to do with his logarithms was to save people from “slippery errors”. He once said that “there is nothing that is so troublesome to mathematical practice than the multiplications, divisions, square and cubical extractions of great numbers, which besides the tedious expense of time are for the most part subject to many slippery errors.” That was a main reason that he wanted to find a way to multiply and divide large numbers
The robots are taking over and planning to destroy humanity as it currently stands. They’re smarter, faster, and stronger making them superior to humans in every way. Because humans were too lazy and put all their faith in technology it was easy for the machines to rise up and take over. Soon all of humanity will be enslaved by robots and computers. This is the plot for thousands of science fiction movies and novels in which humans make computer, personal robots servants, and other technology that
Consecutive Numbers Task 1 Problem 1 Write down 3 consecutive numbers. Square the middle one. Multiply the first and the third number. Compare the two numbers, what do you notice? Problem 2 ========= Write down two consecutive numbers. Square both of the numbers and find the difference between the squares. What do you notice? Problem 1 ========= I am going to investigate several sets of three consecutive numbers to see if the square of the middle is related to
1. I am asked to compute the before-tax Net Present Value or NPV of a new ski lift for Deer Valley Lodge and advise the management there of the profitability. Before I am able to make this calculation there are a few calculations that I will need to make first. First the total amount of the investment, this will be the cost of a lift itself $2 million plus the cost of preparing the slope and installing the lift $1.3 million. Thus the investment amount for one lift is $3.3 million. Next I will
The Amount of Joints and Rods in Various Different Structures I intend to draw the structures I am investigating on isometric grid paper and record the results in tables. I will then state formulae to calculate the amount of rods or joints in any size structure. To back up my formulae I will be making predictions and proving them to be correct (hopefully!) Joints ====== Inside the structures I will be investigating the joints I predict to find are the following: -----------
Number Grid Coursework My task is to investigate a 2x2 box on a 100 square I will take a 2x2 square on a 100 square grid and multiply the two corners together. I will then look at the relationship between the two results, by finding the difference. Test 1 ====== 54 55 54 x 65= 3510 64 65 55 x 64= 3520 3520-3510= 10 DIFFERENCE = 10 Test 2 ====== 5 6 5 x 16= 80 15 16 6 x 15= 90 90-80= 10 DIFFERENCE = 10 Test 3 ====== 18 19 18 x 29= 522 28
representation, algebra tiles, is an excellent way to introduce the concept of multiplying monomials and binomials. The multiplication of monomials and binomials is an essential ability for students to master in order to continue mathematics. Many students are intimidated by the concept of multiplying these vague terms with variables. In essence, the traditional method of teaching the multiplication of monomials and binomials, the FOIL method, is too theoretical for students to comprehend. A new approach must
Number Grid Investigation My coursework task is to investigate why, in a number grid square of 1-100, when a section of two by two squares is extracted and the two opposite squares are multiplied and then subtracted the result is always 10. I will also be testing and studying whether it is true for three by three, four by four, five by five e.t.c number squares. I shall also be studying what will happen if I change the size of the grid square upon which I am extracting the numbers from
and stores the value in both %edx and %eax, completely overwriting the contents of both registers, regardless of whether it is necessary to do so, in order to store the result of the multiplication. Let's put on our mathematician hats for a second, and consider this, what is the only possible result of a multiplication by 0? The answer, as you may have guessed, is 0. I think it's about time for some example code, so here it is: xorl %ecx,%ecx mul %ecx What is this shellcode doing? Well,
geometry and solutions of linear equations. Historically the early emphasis was not on the matrix but on the determinant. Now when performing algebra, matrix is heavily considered as a factor. Matrix has its important factor in mathematics however physicists and biologists also have their fair use of matrices in terms of organizing and studying various phenomenons that occurs for example population growth. Matrix is a topic that may look hard to conquer and difficult but is, in reality, simple to apply
systems thus for processing data and for many other requirements there is a huge demand for high speed low area as well as low power consuming multiplier. Multiplier is the slowest and more area consuming part in any system thus for performing multiplication, we do not have any direct tool. We have used adders for implementation of multiplier which made any multiplier slow and biggest part of any processor or ALU. There is a previously we have make a start both these algorithms then there came further