Dimensions of Vector Spaces

Part 1 of ebook "The linear algebra a beginning graduate student ought to know (Third edition)" provides readers with contents including: Chapter 1 - Notation and terminology; Chapter 2 - Fields; Chapter 3 - Vector spaces over a field; Chapter 4 - Algebras over a field; Chapter 5 - Linear independence and dimension; Chapter 6 - Linear transformations; Chapter 7 - The endomorphism algebra of a vector space; Chapter 8 - Representation of linear transformations by matrices; Chapter 9 - The algebra of square matrices; Chapter 10 - Systems of linear equations;...

233p mothoiphong 28-06-2024 4 1   Download

Part 1 book "The feynman lectures on physics (Vol 1)" includes contents: Atoms in motion, basic physics, the relation of physics to other sciences, conservation of energy, time and distance, probability, the theory of gravitation, motion, Newton's laws of dynamics, conservation of momentum, vectors, characteristics of force, work and potential energy (a), work and potential energy (conclusion), the special theory of relativity, relativistic energy and momentum, space time, rotation in two dimensions,... and other contents.

435p muasambanhan08 04-03-2024 3 1   Download

Ebook Linear Algebra: Part 1 presents the following content: Vector Space over Fields; Vector Subspaces; Bases and Dimensions of Vector Spaces; Summary of Row-Equivalence; Computation Concerning Subspaces; Representation of Transformations by Matrices;...Please refer to the documentation for more details.

193p chankora 16-06-2023 4 1   Download

Bài giảng "Toán cao cấp - Chương 3: Không gian vectơ" cung cấp cho người học các kiến thức: Subspaces of Rn, spanning sets, independence, bases of vector spaces, column space and row space of a matrix, dimensions. Mời các bạn cung tham khảo nội dung chi tiết.

18p abcxyz123_08 11-04-2020 91 5   Download

In this paper we give a sampling expansion for integral transforms whose kernels arise from Green’s function of differential operators in a space of vector-functions. The differential operators are in a space of dimension m and consist of systems of m equations in m unknowns. We assume the simplicity of the eigenvalues.

13p danhdanh27 07-01-2019 37 1   Download

In this paper we present an algebraic interpretation for generalized Catalan numbers. We describe them as dimensions of certain subspaces of multilinear polynomials. This description is of utmost importance in the investigation of annihilators in exterior algebras.

9p tuongvidanh 06-01-2019 20 1   Download

We study a class of first-order theories whose complete quantifier-free types with one free variable either have a trivial positive part or are isolated by a positive quantifier-free formula—plus a few other technical requirements. The theory of vector spaces and the theory fields are examples.

9p tuongvidanh 06-01-2019 31 1   Download

Lecture "Linear algebra - Chapter 4: Vector space" provides learners with the knowledge: Definition and examples, linear independence, rank of vectors, basic and dimension, subspaces. Invite you to refer to the disclosures.

42p doinhugiobay_14 28-01-2016 66 4   Download

One of the major problems of K-means is that one must use dense vectors for its centroids, and therefore it is infeasible to store such huge vectors in memory when the feature space is high-dimensional. We address this issue by using feature hashing (Weinberger et al., 2009), a dimension-reduction technique, which can reduce the size of dense vectors while retaining sparsity of sparse vectors.

5p hongdo_1 12-04-2013 68 5   Download

Mining retrospective events from text streams has been an important research topic. Classic text representation model (i.e., vector space model) cannot model temporal aspects of documents. To address it, we proposed a novel burst-based text representation model, denoted as BurstVSM. BurstVSM corresponds dimensions to bursty features instead of terms, which can capture semantic and temporal information.

5p nghetay_1 07-04-2013 40 1   Download

The book titled “Mathematical summary for Digital Signal Processing Applications with Matlab” consists of Mathematics which is not usually dealt in the DSP core subject, but used in the DSP applications.Matlab Illustrations for the selective topics such as generation ofMultivariateGaussian distributed sample outcomes,Optimiza- tion using Bacterial Foraging etc. are given exclusively as the separate chapter for better understanding.

229p layon_5 29-03-2013 65 9   Download