Products related to Algebra:
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Linear Algebra And Optimization With Applications To Machine Learning - Volume I: Linear Algebra For Computer Vision, Robotics, And Machine Learning
This book provides the mathematical fundamentals of linear algebra to practicers in computer vision, machine learning, robotics, applied mathematics, and electrical engineering.By only assuming a knowledge of calculus, the authors develop, in a rigorous yet down to earth manner, the mathematical theory behind concepts such as: vectors spaces, bases, linear maps, duality, Hermitian spaces, the spectral theorems, SVD, and the primary decomposition theorem.At all times, pertinent real-world applications are provided.This book includes the mathematical explanations for the tools used which we believe that is adequate for computer scientists, engineers and mathematicians who really want to do serious research and make significant contributions in their respective fields.
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Pre-Algebra
Boost grades and the understanding of early algebra concepts that can make or break the long-term study of algebra through middle and high school and on to college.Textbooks and classes cover so much over months at a time that the details at different stages of learning are passed up with expectations of students remembering all the details of every stage of learning.This 6 page laminated reference guide is expertly authored and designed to offer a quick detailed overview of all stages of early algebra learning.So all concepts can be seen at a glance before reading texts or listening to instructors, during study and homework, or further into the class for refreshing before quizzes and exams.It can help the math-rusty parent homework coach as well to get the algebra gears turning again so you can be the homework hero.Topics covered include: Number Systems; Operations; Algebra; Concepts; Translating Words into Algebraic Statements; Algebraic Equations; Algebraic Inequalities; Coordinate; Plane Geometry; Ratio; Portion; Percent.
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Human Algebra
The album is a word from the wise - from questioning 'fake news' ('Big Little Lies'), to pointing the finger at keyboard warriors ('Armchair Guevara'), and the scourge of knife crime ('Human Algebra'). Human relationships are also touched upon ('Boxing Clever'), along with a touching tribute to the late great Ranking Roger from The Beat ('Parade The Crown').
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Linear Algebra
Linear Algebra is intended for a one-term course at the junior or senior level.It begins with an exposition of the basic theory of vector spaces and proceeds to explain the fundamental structure theorems for linear maps, including eigenvectors and eigenvalues, quadric and hermitian forms, diagonalization of symmetric, hermitian, and unitary linear maps and matrices, triangulation, and Jordan canonical form.The book also includes a useful chapter on convex sets and the finite-dimensional Krein-Milman theorem.The presentation is aimed at the student who has already had some exposure to the elementary theory of matrices, determinants, and linear maps.However, the book is logically self-contained. In this new edition, many parts of the book have been rewritten and reorganized, and new exercises have been added.
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What is the difference between algebra and sigma-algebra?
Algebra is a collection of subsets of a set that is closed under complementation and countable unions and intersections. It is a structure used in set theory and abstract algebra. On the other hand, a sigma-algebra is a more specific type of algebra that is also closed under countable unions and intersections, but it is defined on a probability space and is used in measure theory and probability theory. In essence, a sigma-algebra is a more specialized and stricter form of algebra, with additional properties that make it suitable for use in probability and measure theory.
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How do you calculate the area of a mapping in linear algebra?
To calculate the area of a mapping in linear algebra, you can use the determinant of the matrix representing the linear transformation. The determinant of a 2x2 matrix represents the scaling factor of the area under the transformation. By taking the absolute value of the determinant, you can find the area of the parallelogram formed by the vectors under the mapping. This method can be extended to higher dimensions using the determinant of larger matrices.
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To what extent does this sentence make sense: Linear algebra, linear mapping?
The sentence "Linear algebra, linear mapping" makes sense to a certain extent. It suggests a connection between linear algebra and linear mapping, both of which are fundamental concepts in mathematics. Linear algebra deals with vector spaces, linear transformations, and systems of linear equations, while linear mapping refers to the process of transforming one vector space into another in a linear manner. Therefore, the sentence hints at the relationship between these two concepts within the broader field of mathematics.
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Is relational algebra difficult?
Relational algebra can be difficult for some people, especially those who are new to the concept of relational databases and set theory. It involves understanding various operations such as selection, projection, join, and union, as well as the rules and properties associated with these operations. However, with practice and a solid understanding of the underlying principles, relational algebra can become more manageable. It is important to approach it with patience and persistence, and seek out resources and guidance to help grasp the concepts.
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College Algebra
Larson's COLLEGE ALGEBRA is known for its reliable, reader-friendly explanations of mathematical concepts and helpful exercises that prepare students for further study in math.The Eleventh Edition incorporates exercises with relatable, real-world scenarios, continuous review, and innovative technology.How Do You See It? exercises give you practice applying the concepts and new Summarize features and Checkpoint problems reinforce understanding of the skill sets to help you better prepare for tests.Free access to homework support websites CalcChat.com, CalcView.com and LarsonPrecalculus.com are there when you need them.If you are struggling with previously learned math skills, work on the Review & Refresh exercises and watch the Skills Review videos.
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Linear Algebra
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Linear Algebra
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Linear Algebra
This textbook invites readers to dive into the mathematical ideas of linear algebra.Offering a gradual yet rigorous introduction, the author illuminates the structure, order, symmetry, and beauty of the topic.Opportunities to explore, master, and extend the theory abound, with generous exercise sets embodying the Hungarian tradition of active problem-solving.Determinants, matrices, and systems of linear equations begin the book.This unique ordering offers insights from determinants early on, while also admitting re-ordering if desired.Chapters on vector spaces, linear maps, and eigenvalues and eigenvectors follow.Bilinear functions and Euclidean spaces build on the foundations laid in the first half of the book to round out the core material.Applications in combinatorics include Hilbert's third problem, Oddtown and Eventown problems, and Sidon sets, a favorite of Paul Erdos.Coding theory applications include error-correction, linear, Hamming, and BCH codes.An appendix covers the algebraic basics used in the text. Ideal for students majoring in mathematics and computer science, this textbook promotes a deep and versatile understanding of linear algebra.Familiarity with mathematical proof is assumed, though no prior knowledge of linear algebra is needed.Supplementary electronic materials support teaching and learning, with selected answers, hints, and solutions, and an additional problem bank for instructors.
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What is boolean algebra?
Boolean algebra is a branch of algebra that deals with variables that can only take on the values of true or false, often represented as 1 or 0. It is used to analyze and simplify logical expressions and is fundamental to the design and analysis of digital circuits and computer systems. Boolean algebra operations include AND, OR, and NOT, which are used to manipulate and simplify logical expressions. It provides a formal mathematical framework for reasoning about logical statements and is widely used in computer science and engineering.
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How can one learn algebra?
One can learn algebra by starting with the basics such as understanding the fundamental concepts and rules. It is important to practice solving equations and working through problems to build a strong foundation. Utilizing resources such as textbooks, online tutorials, and practice problems can also help in mastering algebra. Seeking help from teachers, tutors, or study groups can provide additional support and guidance in learning algebra effectively.
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"Isn't Algebra 1 on there?"
Yes, Algebra 1 is on the list. It is an essential course for students to build a strong foundation in mathematical concepts and problem-solving skills. Algebra 1 covers topics such as linear equations, inequalities, functions, and graphing, which are fundamental for higher-level math courses and real-world applications.
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How can one simplify Boolean algebra?
One can simplify Boolean algebra expressions by using various laws and theorems such as the commutative, associative, distributive, identity, and complement laws. By applying these laws systematically, one can rearrange and simplify the expression to its simplest form. Additionally, using Karnaugh maps can help visualize and simplify Boolean expressions by grouping terms with common variables. Practice and familiarity with these laws and techniques are key to simplifying Boolean algebra effectively.
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