APAKAH MAKSUD TENSOR dalam CORSICA?
Tensor
Tensor adalah objek geometrik yang menggambarkan hubungan linear antara vektor, skalar, dan tensor lain. Contoh-contoh asas hubungan tersebut termasuk produk titik, produk silang, dan peta linier. Vektor dan skalar sendiri juga tensor. Tensor boleh diwakili sebagai pelbagai nilai berangka berangka dimensi. Perintah tensor adalah dimensi array yang diperlukan untuk mewakilinya, atau sama sekali, bilangan indeks yang diperlukan untuk melabel komponen komponen itu. Sebagai contoh, peta linear boleh diwakili oleh matriks dan oleh itu adalah tensor urutan ke-2. Sebuah vektor boleh diwakili sebagai array 1 dimensi dan merupakan tensor pesanan pertama. Skalar adalah nombor tunggal dan dengan itu tensor urutan ke-0. Tensor digunakan untuk mewakili kesesuaian antara set vektor geometri. Sebagai contoh, tegasan tegangan Cauchy T mengambil arah v sebagai input dan menghasilkan tegasan T pada permukaan normal kepada vektor ini untuk output dengan itu menyatakan hubungan antara dua vektor ini, ditunjukkan dalam rajah tersebut.
Definisi tensor dalam kamus Corsica
Takrif tensor dalam kamus adalah apa-apa otot yang boleh menyebabkan sebahagian menjadi tegas atau tegang. Takrif lain dari tensor adalah satu set komponen, fungsi koordinat mana-mana titik dalam ruang, yang mengubah linear antara sistem koordinat. Untuk ruang tiga dimensi terdapat komponen 3r, di mana r adalah pangkat. Tensor dari nol pangkat adalah skalar, pangkat satu, vektor.
CORSICA BUKU YANG BERKAIT DENGAN «TENSOR»
Ketahui penggunaan
tensor dalam pilihan bibliografi berikut. Buku yang berkait dengan
tensor dan ekstrak ringkas dari yang sama untuk menyediakan konteks penggunaannya dalam kesusasteraan Corsica.
"This book is an excellent classroom text, since it is clearly written, contains numerous problems and exercises, and at the end of each chapter has a summary of the significant results of the chapter." — Quarterly of Applied Mathematics.
John Lighton Synge, Alfred Schild,
1978
This concise text offers a straightforward treatment ofthe subject suitable for the student or practicing engineer.
L. P. Lebedev, Michael J. Cloud,
2003
3
A Brief on
Tensor Analysis
Starting from a basic knowledge of calculus and matrix algebra, together with fundamental ideas from mechanics and geometry, the text gradually develops the tools for formulating and manipulating the field equations of Continuum Mechanics.
4
Tensor Algebra and
Tensor Analysis for Engineers: With ...
The text and formulae have been revised and improved where necessary.
5
Tensor Analysis on Manifolds
Striking just the right balance between formal and abstract approaches, this text proceeds from generalities to specifics.
Richard L. Bishop, Samuel I. Goldberg,
2012
6
Introduction to
Tensor Products of Banach Spaces
This volume provides a self-contained introduction to the theory of tensor products of Banach spaces.
7
Vector and
Tensor Analysis with Applications
Concise and readable, this text ranges from definition of vectors and discussion of algebraic operations on vectors to the concept of tensor and algebraic operations on tensors.
A. I. Borisenko, I. E. Tarapov,
2012
8
Vector and
Tensor Analysis, Second Edition
Revised and updated throughout, this book presents the fundamental concepts of vector and tensor analysis with their corresponding physical and geometric applications - emphasizing the development of computational skills and basic ...
9
Tensor Geometry: The Geometric Viewpoint and Its Uses
We have been very encouraged by the reactions of students and teachers using our book over the past ten years and so this is a complete retype in TEX, with corrections of known errors and the addition of a supplementary bibliography.
C. T. J. Dodson, Timothy Poston,
1991
10
An Introduction to
Tensor Calculus: Relativity and Cosmology
The text concludes with a chapter offering a sound background in applying the principles of general relativity to cosmology.
BARANGAN BERITA YANG TERMASUK TERMA «TENSOR»
Ketahui apa yang diterbitkan oleh akhbar nasional dan antarabangsa dan cara istilah
tensor digunakan dalam konteks perkara berita berikut.
Spooky Quantum Action Might Hold the Universe Together
Tensors crop up all over physics—they're simply mathematical objects that can represent multiple numbers at the same time. For example, a velocity vector is a ... «Wired, Mei 15»
Public Release: 24-Apr-2015 Diffusion tensor MR tractography …
"Diffusion tensor MR tractography may function as a novel quantitative tool and marker of treatment response," said study coauthor Jennifer W. Uyeda, MD, ... «EurekAlert, Apr 15»
Correlation of diffusion tensor imaging and phase-contrast MR with …
Diffusion tensor imaging (DTI) with fiber tractography provides a three-dimensional model of water diffusion for longitudinal evaluations of the central nervous ... «Nature.com, Apr 15»
Let's build open source tensor libraries for data science
Tensors are generalizations of matrices that let you look beyond pairwise relationships to higher-dimensional models (a matrix is a second-order tensor). «O'Reilly Radar, Mac 15»
Tensor networks get entangled with quantum gravity
One of the first steps toward becoming a scientist is discovering the difference between speed and velocity. To nonscientists, it's usually a meaningless ... «Science News, Sep 14»
Communication-optimal algorithms for contracting distributed tensors
Tensor contractions, generalized matrix multiplications that are time-consuming to calculate, make them among the most compute-intensive operations in ... «Phys.Org, Jul 14»
How to find a bulb for a Tensor lamp
Question: I've been trying unsuccessfully to find a replacement bulb for an old Tensor 7200 desk lamp. I've gotten bulbs from a couple of Internet sites and a ... «Washington Post, Jul 14»
Tudor Investment to return managed futures fund money to clients
Investors in the Tudor Tensor Fund can put their money into a managed account that follows the same strategy, the firm said Wednesday in a letter to clients, ... «Pensions & Investments, Mac 14»
Tudor to Return Money From Managed-Futures Fund Amid Loss
Investors in the Tudor Tensor Fund can put their money into a managed account that follows the same strategy, the firm said today in a letter to clients, a copy of ... «Bloomberg, Mac 14»
Just add water to see the brain's web of connections
A recent study used a form of diffusion tensor imaging to identify a three-dimensional grid patternof fibres that may be the underlying structure of the human brain ... «New Scientist, Nov 13»