• Study Resource
  • Explore
    • Arts & Humanities
    • Business
    • Engineering & Technology
    • Foreign Language
    • History
    • Math
    • Science
    • Social Science

    Top subcategories

    • Advanced Math
    • Algebra
    • Basic Math
    • Calculus
    • Geometry
    • Linear Algebra
    • Pre-Algebra
    • Pre-Calculus
    • Statistics And Probability
    • Trigonometry
    • other →

    Top subcategories

    • Astronomy
    • Astrophysics
    • Biology
    • Chemistry
    • Earth Science
    • Environmental Science
    • Health Science
    • Physics
    • other →

    Top subcategories

    • Anthropology
    • Law
    • Political Science
    • Psychology
    • Sociology
    • other →

    Top subcategories

    • Accounting
    • Economics
    • Finance
    • Management
    • other →

    Top subcategories

    • Aerospace Engineering
    • Bioengineering
    • Chemical Engineering
    • Civil Engineering
    • Computer Science
    • Electrical Engineering
    • Industrial Engineering
    • Mechanical Engineering
    • Web Design
    • other →

    Top subcategories

    • Architecture
    • Communications
    • English
    • Gender Studies
    • Music
    • Performing Arts
    • Philosophy
    • Religious Studies
    • Writing
    • other →

    Top subcategories

    • Ancient History
    • European History
    • US History
    • World History
    • other →

    Top subcategories

    • Croatian
    • Czech
    • Finnish
    • Greek
    • Hindi
    • Japanese
    • Korean
    • Persian
    • Swedish
    • Turkish
    • other →
 
Sign in Sign up
Upload
COMPLEXES OF INJECTIVE kG-MODULES 1. Introduction Let k be
COMPLEXES OF INJECTIVE kG-MODULES 1. Introduction Let k be

higher algebra
higher algebra

Summer School 2003, Bertinoro - LAR-DEIS
Summer School 2003, Bertinoro - LAR-DEIS

An Overview of Compressed sensing
An Overview of Compressed sensing

Algorithms for Matrix Canonical Forms
Algorithms for Matrix Canonical Forms

The Product Topology
The Product Topology

A MONOIDAL STRUCTURE ON THE CATEGORY OF
A MONOIDAL STRUCTURE ON THE CATEGORY OF

slides
slides

Boyarchenko on associativity.pdf
Boyarchenko on associativity.pdf

lecture notes - TU Darmstadt/Mathematik
lecture notes - TU Darmstadt/Mathematik

Example 6.1 Rev 1N2
Example 6.1 Rev 1N2

Nondegenerate Solutions to the Classical Yang
Nondegenerate Solutions to the Classical Yang

"The Sieve Re-Imagined: Integer Factorization Methods"
"The Sieve Re-Imagined: Integer Factorization Methods"

Trigonometric functions and Fourier series (Part 1)
Trigonometric functions and Fourier series (Part 1)

POLYHEDRAL POLARITIES
POLYHEDRAL POLARITIES

Quotient Modules in Depth
Quotient Modules in Depth

Galois Field Computations A Galois field is an algebraic field that
Galois Field Computations A Galois field is an algebraic field that

A primer of Hopf algebras
A primer of Hopf algebras

Chapter 7 Duality
Chapter 7 Duality

Compatibility Equations of Nonlinear Elasticity for Non
Compatibility Equations of Nonlinear Elasticity for Non

Linear Algebra
Linear Algebra

a pdf file
a pdf file

fundamentals of linear algebra
fundamentals of linear algebra

... the notion of a matrix group and give several examples, such as the general linear group, the orthogonal group and the group of n × n permutation matrices. In Chapter 3, we define the notion of a field and construct the prime fields Fp as examples that will be used later on. We then introduce the no ...
Basic Concepts and Definitions of Graph Theory
Basic Concepts and Definitions of Graph Theory

Full Text  - J
Full Text - J

1 2 3 4 5 ... 46 >

Cartesian tensor



In geometry and linear algebra, a Cartesian tensor uses an orthonormal basis to represent a tensor in a Euclidean space in the form of components. Converting a tensor's components from one such basis to another is through an orthogonal transformation.The most familiar coordinate systems are the two-dimensional and three-dimensional Cartesian coordinate systems. Cartesian tensors may be used with any Euclidean space, or more technically, any finite-dimensional vector space over the field of real numbers that has an inner product.Use of Cartesian tensors occurs in physics and engineering, such as with the Cauchy stress tensor and the moment of inertia tensor in rigid body dynamics. Sometimes general curvilinear coordinates are convenient, as in high-deformation continuum mechanics, or even necessary, as in general relativity. While orthonormal bases may be found for some such coordinate systems (e.g. tangent to spherical coordinates), Cartesian tensors may provide considerable simplification for applications in which rotations of rectilinear coordinate axes suffice. The transformation is a passive transformation, since the coordinates are changed and not the physical system.
  • studyres.com © 2023
  • DMCA
  • Privacy
  • Terms
  • Report