appendix such as graphs will be attached with the assignment. BACKGROUND AND CONCEPT Linear algebra is the study of linear transformations of linear equations which are represented in a matrix form by matrices acting on vectors. Eigenvalues, eigenvectors and Eigen space are properties of a matrix (Sharma, n.d.). The prefix “Eigen” which means “proper” or “characteristics” was originally developed in German and invented by a German mathematician. Latent roots, characteristic roots, proper values
Linear algebra is used in the organization and sorting of these web pages when storing them in an internet search database. The vector space model;is used to enhance search results by representing them as two vectors, the document vector and query vector. Each dimension in the vector corresponds to a different term. If the term occurs in the document, its value in the vector is a non-zero value. Several different ways of computing the term weights have been developed, one of which is the frequency-inverse
“I kept asking myself if I felt different, if I was different. The answer was always yes. I was no longer nothing…” (Avi 221) This is a famous quote from the historical fiction book Crispin The Cross of Lead, written by Avi. This book is about a boy named Crispin, who goes through many trials and meets many people who help him find his true identity. Through the story Crispin has three “fathers” in his life, Lord Furnival, Bear, and God the Father and he learns several important things from them
I have been told throughout my life that I am abundantly prone to clumsiness. Some stories in my life are perfect evidence for this accusation, such as the time on New Years I fell off a jet ski. The Jet Ski story is now a popular anecdote in my family. Although it resulted in a minor ankle sprain the story seems to be as equally amusing if I had lost a foot. The saying “what happens in Vegas, stays in Vegas” should also apply to Mexico, for my sake. I had never been on a jet ski as of New
Effective Teaching of Abstract Algebra Abstract Algebra is one of the important bodies of knowledge that the mathematically educated person should know at least at the introductory level. Indeed, a degree in mathematics always contains a course covering these concepts. Unfortunately, abstract algebra is also seen as an extremely difficult body of knowledge to learn since it is so abstract. Leron and Dubinsky, in their paper ¡§An Abstract Algebra Story¡¨, penned the following two statements,
Principal Component Analysis Principal Component Analysis (PCA) is a multivariate analysis performed in purpose of reducing the dimensionality of a multivariate data set in order to recognize the shape or pattern of that data set. In other words, PCA is a powerful technique for pattern recognition that attempts to explain the variance of a large set of inter-correlated variables. It indicates the association between variables, thus, reducing the dimensionality of the data set. (Helena et al, 2000;
The performance of a paintball marker is credited by accuracy, distance, firing rate, efficiency, and design. However, one establishes these features in an order of what is most important to what is least important to their individual profile, as the marker must coincide with that person’s style of play. Where evaluations of paintball markers become prevalent is in the competitive, tournament scenario (5v5) gameplay. The most obvious evaluation to be made between markers is the open-bolt versus closed-bolt
The results of this experiment are that when comparing the average mandible length between carnivores and herbivores, the herbivores had the longer mandible length on average. Furthermore, when comparing the average eye length between herbivores and carnivores, the carnivores had larger eyes on average. In Figures 1 and 2 the x-axis represent the two groups of animals being tested and the y-axis represent the average diameter of the length. Figure 1 represents the average mandible length between
program, images, and figures for this project are implemented using the Matlab. Project Background: Theory of the Hough Transform The Hough transform (HT) is a powerful global method for detecting edges. It transforms between the Cartesian space and a parameter space in which a straight line (or other boundary formulation) can be defined. Line detection using Hough Transform is point‐line duality. Let’s assume the case where we have straight lines in an image. We first note that for every point (x_i
There are lots of real uses of mathematics in our life. All the mathematics terms base on counting. There is no concept of business without mathematics. We cannot deny the importance of mathematics in our daily life. Wherever we go (for example when we want to purchase something in the market), we need mathematics. And nowadays, technology is very important in our daily life, hence its system used mathematical rules. So we cannot deny the importance of mathematics in real life. My topic for this
[Sal86] proposed a compromise by the use of a query formulation that is neither too broad nor too narrow. Several studies [Sal82, SFW83] have extended the base Boolean model to add term weighting and output ranking features. 2.1.3.2 The Vector Space Model The vector space model (VSM) [Sal71] uses a ranking algorithm that tries to rank documents according to the overlap between the query terms and document terms [Boo82].
Information Retrieval deal with unstructured data without a well-defined logical schematic. Database have fixed schema driven in some data model such as relational model. Information Retrieval has no fixed schema and has various data models such as vector space model. Database uses structured query model. Information Retrieval uses free-form query models. Database contains rich metadata operations. Information Retrieval contain rich data operation. Query will return data. Search request will return list
The tsetse fly is predominant found in large areas of sub-Saharan Africa where there is human settlement and agriculture. The tsetse flies are cousins of the house fly, however they are larger than a common house fly. Approximate length of a house fly is 6 to 7 mm while a tsetse fly ranges anywhere from 6 to 16 mm in length. There are approximately 22 different kinds or species of tsetse fly living on the continent of Africa presently. The scientific name for the tsetse fly is Glossina. Each of the
Computer Viruses: Infection Vectors, and Feasibility of Complete Protection A computer virus is a program which, after being loaded into a computer's memory, copies itself with the purpose of spreading to other computers. Most people, from the corporate level power programmer down to the computer hobbyist, have had either personal experience with a virus or know someone who has. And the rate of infection is rising monthly. This has caused a wide spread interest in viruses and what can be done to
strands of DNA. Using such enzymes, scientists learned to cut specific genes from DNA and to build customized DNA using these genes. They also learned about vectors, strands of DNA like viruses, which can infect a cell and insert themselves into its DNA. Scientists started to build vectors, which incorporated genes of their choosing and used vectors to insert these genes into the DNA of living organisms. Genetic engineers believe that they can improve the foods we eat by doing this. At first glance,
I. Introduction A vector is an arrow whose length represents the magnitude of a quantity and whose direction represents the direction of the quantity. Vectors are useful in combining velocities that are not parallel. The sum of two or more component vectors is called a resultant. When the vectors are not at right angles to each other, the resultant is found by constructing a parallelogram. The parallelogram is constructed with the two vectors as sides. The resultant of the parallelogram is its diagonal
example on an elevated ramp? But this can't be done because the theory states that free falling objects fall at a constant acceleration of 9.8m/s/s ONLY if gravity is the only force acting on it. To prove this, I will undergo an experiment involving vectors and mechanics. Apparatus: · Toy car · [IMAGE] Ramp with the length of 1m
they were not thinking, and the order began to tear the school apart. The teacher sought order because he wanted his students to behave better. Scientists use order to control viruses. Viruses are classified by several attributes; their shape, the vectors that transmit them, and their RNA or DNA content. Once a virus is classified, it can be examined, and controlled. Biologists use order to classify other organisms as well. Charles Darwin sought order instinctively by becoming a naturalist. He studied
Support Vector Machine(SVM): Over the past several years, there has been a significant amount of research on support vector machines and today support vector machine applications are becoming more common in text classification. In essence, support vector machines define hyperplanes, which try to separate the values of a given target field. The hyperplanes are defined using kernel functions. The most popular kernel types are supported: linear, polynomial, radial basis and sigmoid. Support Vector Machines
Introduction: I have decided to compare Raster (bitmap) and Vector graphics & their uses in modern digital multimedia. I will begin by defining what both mean. Then take a brief look into how they were first utilised. Give examples of their pros and cons, their uses now & express my opinion as to which one I believe to be better option and why. Raster (bitmap) graphics definition: “A raster graphic is a digital image composed of a matrix of dots. When viewed at 100%, each dot corresponds