Algebraic sets

Xem 1-20 trên 62 kết quả Algebraic sets
  • Note immediately one difference between linear equations and polynomial equations: theorems for linear equations don’t depend on which field k you are working over, 1 but those for polynomial equations depend on whether or not k is algebraically closed and (to a lesser extent) whether k has characteristic zero. Since I intend to emphasize the geometry in this course, we will work over algebraically closed fields for the major part of the course.

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  • Basic Concepts of Algebra R.1 R.2 R.3 R.4 R.5 R.6 R.7 The Real-Number System Integer Exponents, Scientific Notation, and Order of Operations Addition, Subtraction, and Multiplication of Polynomials Factoring Rational Expressions Radical Notation and Rational Exponents The Basics of Equation Solving SUMMARY AND REVIEW TEST R A P P L I C A T I O N G ina wants to establish a college fund for her newborn daughter that will have accumulated $120,000 at the end of 18 yr.

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  • In this article we study several homology theories of the algebra E ∞ (X) of Whitney functions over a subanalytic set X ⊂ Rn with a view towards noncommutative geometry. Using a localization method going back to Teleman we prove a Hochschild-Kostant-Rosenberg type theorem for E ∞ (X), when X is a regular subset of Rn having regularly situated diagonals. This includes the case of subanalytic X. We also compute the Hochschild cohomology of E ∞ (X) for a regular set with regularly situated diagonals and derive the cyclic and periodic cyclic theories. ...

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  • The basic set of operations for the relational model is known as the relational algebra. These operations enable a user to specify basic retrieval requests. The result of a retrieval is a new relation, which may have been formed from one or more relations. The algebra operations thus produce new relations, which can be further manipulated using operations of the same algebra.

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  • Tham khảo sách 'handbook of computer vision algorithms in image algebra by gerhard x', kỹ thuật - công nghệ, cơ khí - chế tạo máy phục vụ nhu cầu học tập, nghiên cứu và làm việc hiệu quả

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  • Tham khảo sách 'robotics handbook of computer vision algorithms in image algebra by gerhard x. ritter', kỹ thuật - công nghệ, cơ khí - chế tạo máy phục vụ nhu cầu học tập, nghiên cứu và làm việc hiệu quả

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  • Lecture "Linear algebra - Chapter 5: The Orthogonality and Least Squares" provides learners with the knowledge: The Scalar Product in R, orthogonal subspaces, orthonormal set, the gram schmidt orthogonalization process, inner product spaces, least square problem. Invite you to refer to the disclosures.

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  • Database System: Chapter 4 - The Relational Algebra and Calculus presents about Relational Algebra (Unary Relational Operations, Relational Algebra Operations From Set Theory, Binary Relational Operations, Additional Relational Operations, Examples of Queries in Relational Algebra); Relational Calculus.

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  • Chapter 6 "The relational algebra and relational calculus" present contents: The relational algebra, unary relational operations, relational algebra operations from set theory, binary relational operations,...

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  • This paper proposes a method for mining fuzzy association rules using compressed database. We also use the approach of Hedge Algebra (HA) to build the membership function for attributes instead of using the normal way of fuzzy set theory. This approach allows us to explore fuzzy association rules through a relatively simple algorithm which is faster in terms of time, but it still brings association rules which are as good as the classical algorithms for mining association rules.

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  • This paper introduces a probabilistic relational database model, called PRDB, for representing and querying uncertain information of objects in practice. To develop the PRDB model, first, we represent the relational attribute value as a pair of probabilistic distributions on a set for modeling the possibility that the attribute can take one of the values of the set with a probability belonging to the interval which is inferred from the pair of probabilistic distributions

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  • A system of linear equations is called sparse if only a relatively small number of its matrix elements aij are nonzero. It is wasteful to use general methods of linear algebra on such problems, because most of the O(N 3 ) arithmetic operations devoted to solving the set of equations or inverting the matrix involve zero operands. Furthermore, you might wish to work problems so large as to tax your available memory space, and it is wasteful to reserve storage for unfruitful zero elements.

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  • A set of linear algebraic equations looks like this: a11 x1 + a12 x2 + a13 x3 + · · · + a1N xN = b1 a21 x1 + a22 x2 + a23 x3 + · · · + a2N xN = b2 a31 x1 + a32 x2 + a33 x3 + · · · + a3N xN = b3 ··· ··· (2.0.1)

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  • Tuyển tập các báo cáo nghiên cứu khoa học ngành toán học tạp chí Journal of Operator Theory đề tài: Borel maps on sets of von Neumann algebras ...

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  • This is the exercise book to accompany the present author's An Introduction to Relational Database Theory. With two exceptions, these exercises are copies of those given at the ends of Chapters 1-7 of that book. The exercises using Rel given with some of those chapters are also included. The first exception is Exercise 7 for Chapter 7, which I have replaced by a precise, detailed specification for a comprehensive database design. The second is a set of additional exercises using Rel, exploring virtual relvars and user-defined type definitions....

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  • We devise a new criterion for linear independence over function fields. Using this tool in the setting of dual t-motives, we find that all algebraic relations among special values of the geometric Γ-function over Fq [T ] are explained by the standard functional equations. Contents 1. Introduction 2. Notation and terminology 3. A linear independence criterion 4. Tools from (non)commutative algebra

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  • Following a brief introduction and overview, early chapters cover the basic algebraic relationships of entropy, relative entropy and mutual information, AEP, entropy rates of stochastics processes and data compression, duality of data compression and the growth rate of wealth. Later chapters explore Kolmogorov complexity, channel capacity, differential entropy, the capacity of the fundamental Gaussian channel, the relationship between information theory and statistics, rate distortion and network information theories.

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  • (BQ) Part 2 book "A transition to advanced mathematics" has contents: Infinite sets, countable sets, the ordering of cardinal numbers, comparability of cardinal numbers and the axiom of choice, algebraic structures, operation preserving maps, completeness of the real numbers, the bounded monotone sequence theorem,...and other contents.

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  • A quick-and-dirty way to solve complex systems is to take the real and imaginary parts of (2.3.16), giving A·x−C·y=b (2.3.17) C·x+A·y=d which can be written as a 2N × 2N set of real equations

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  • There exists a very powerful set of techniques for dealing with sets of equations or matrices that are either singular or else numerically very close to singular. In many cases where Gaussian elimination and LU decomposition fail to give satisfactory results

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