Complex vector spaces

Part 2 of ebook "Linear algebra done right (Third edition)" provides readers with contents including: Chapter 6 - Inner product spaces; Chapter 7 - Operators on inner product spaces; Chapter 8 - Operators on complex vector spaces; Chapter 9 - Operators on real vector spaces; Chapter 10 - Trace and determinant;...

175p daonhiennhien 03-07-2024 2 1   Download

Part 1 book "Quantum theory - Concepts and methods" includes content: Introduction to quantum physics, quantum tests, complex vector space, continuous variables, composite systems, bell s theorem, contextuality.

227p muasambanhan10 06-04-2024 2 0   Download

In this ebook "Quantum mechanics for pedestrians 1: Fundamentals" the first in a two-volume set, provides an introduction to the fundamentals of (mainly) non-relativistic quantum mechanics. This first volume chiefly focuses on the essential principles, while applications and extensions of the formalism can be found in volume 2.

525p dangsovu 20-10-2023 7 4   Download

Part 1 of ebook "Applied linear algebra (Second edition)" has presents the following content: Chapter 1 - Linear algebraic systems; Chapter 2 - Vector spaces and bases; Chapter 3 - Inner products and norms; Chapter 4 - Orthogonality; Chapter 5 - Minimization and least squares;...

325p dieptieuung 20-07-2023 7 3   Download

The aim of this note "A note on Alexander’s theorem" is to extend a result of H. Alexander [1] from the case of scalar functions to the case of functions with values in topological vector spaces. The goal of this note is to extend this result to the case where the target space C is replaced by any sequentially complete complex topological vector space F. The main result of this article is given by the following theorem.

4p runordie5 04-07-2022 4 1   Download

The aim of the present note "Holomorphic maps of uniform type" is to find some necessary and sufficient conditions for the equality (UN) \(H\left( {E,{\rm{ }}X} \right){\rm{ }} = {\rm{ }}{H_u}\left( {E,{\rm{ }}X} \right)\) to hold. This problem for vector-valued holomorphic maps, i.e. for the case where X is a locally convex space, was investigated by some authors. The first result on this problem belongs to Colombeau and Mujica.

6p runordie5 04-07-2022 12 2   Download

The document Concepts and methods in Quantum theory present the content: fundamental theories of physics; introduction to quantum physics; quantum tests; complex Vector space; continuous variables; composite systems; bell’s theorem; contextuality; spacetime symmetries; information and thermodynamics; semiclassical methods; chaos and irreversibility; the measuring processa.

464p cao_duy_son 06-08-2019 60 4   Download

The SVM suffers from the complex computational processes. Therefore, this paper presents a new space vector modulation controller based soft computing-high accuracy implementation of artificial neural network. An artificial neural network (ANN) structure is proposed to identify and estimated the conventional SVM for avoiding the complex computational problem and hence improve the performance of the photovoltaic inverter generation. The ANN model receives the αβ voltages information at the input side and generates the duty ratios (Ta, Tb, and Tc) as an output.

16p hongnhan878 12-04-2019 45 2   Download

Following the study on volume of indicatrices in a real Finsler space, in this paper we are investigating some volume properties of the indicatrix considered in an arbitrary fixed point of a complex Finsler manifold. Since for each point of a complex Finsler space the indicatrix is an embedded CR-hypersurface of the punctured holomorphic tangent bundle, by means of its normal vector, the volume element of the indicatrix is determined.

15p danhdanh27 07-01-2019 16 2   Download

In this article, we establish an inequality between the sectional curvature function K and the shape operator AH at the mean curvature vector for slant submanifolds in generalized complex space forms. Also a sharp relationship between the k-Ricci curvature and the shape operator AH is proved.

15p danhdanh27 07-01-2019 19 2   Download

(bq) part 2 book "elementary linear algebra" has contents: additional topics, applications of linear algebra, least squares fitting to data, quadratic forms, technology exercises, technology exercises, complex vector spaces,... and other contents.

563p bautroibinhyen19 02-03-2017 60 3   Download

Hidden malicious circuits provide an attacker with a stealthy attack vector. As they occupy a layer below the entire software stack, malicious circuits can bypass tra- ditional defensive techniques. Yet current work on trojan circuits considers only simple attacks against the hard- ware itself, and straightforward defenses. More complex designs that attack the software are unexplored, as are the countermeasures an attacker may take to bypass pro- posed defenses. We present the design and implementation of Illinois Malicious Processors (IMPs).

21p nhacsihuytuan 06-04-2013 53 7   Download

The Fourier transform of a C ∞ function, f , with compact support on a real reductive Lie group G is given by a collection of operators φ(P, σ, λ) := π P (σ, λ)(f ) for a suitable family of representations of G, which depends on a family, indexed by P in a finite set of parabolic subgroups of G, of pairs of parameters (σ, λ), σ varying in a set of discrete series, λ lying in a complex finite dimensional vector space. The π P (σ, λ) are generalized principal series, induced from P . It is...

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complex numbers set of . . . such that . . . sequence; like a set but order matters vector spaces vectors zero vector, zero vector of V bases standard basis for Rn basis vectors matrix representing the vector set of n-th degree polynomials set of n×m matrices span of the set S direct sum of subspaces isomorphic spaces homomorphisms matrices transformations; maps from a space to itself square matrices matrix representing the map h matrix entry from row i, column j determinant of the matrix T rangespace and nullspace of the map h generalized rangespace and nullspace Lower case Greek...

446p paradise_12 03-01-2013 90 6   Download

Hilbert Spaces 1.1 Inner product spaces Example 1.1 Prove that in a real vector space with inner product we have (x, y) = 1 4 x + y2 − x − y2, and in a complex vector space with inner product we have (x, y) = 1 4 x + y2 − x − y2 + i x + iy2 + i x − iy2. These are the so-called polarization identities. They tell us that in a Hilbert space, the inner product is determined by the norm.

109p sn_buon 29-11-2012 51 4   Download

This is an introduction to linear algebra. The main part of the book features row operations and everything is done in terms of the row reduced echelon form and specific algorithms. At the end, the more abstract notions of vector spaces and linear transformations on vector spaces are presented. This is intended to be a first course in linear algebra for students who are sophomores or juniors who have had a course in one variable calculus and a reasonable background in college algebra.

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You can teach a course that will give their students exposure to linear algebra. In their first brush with the topic, your students can work with the Euclidean space and the matrix. In contrast, this course will emphasize the abstract vector spaces and linear maps. Bold title of this book deserves an explanation. Almost all linear algebra books use determinants to prove that each linear op-erator on a finite dimensional vector space has a complex eigenvalue.

261p thanhan 22-07-2009 242 67   Download