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For DTI, it is generally possible to use linear algebra, matrix mathematics and vector mathematics to process the analysis of the tensor data. In some cases, the full set of tensor properties is of interest, but for tractography it is usually necessary to know only the magnitude and orientation of the primary axis or vector. This primary axis ...
Tensor [4] is a tensor package written for the Mathematica system. It provides many functions relevant for General Relativity calculations in general Riemann–Cartan geometries. Ricci [5] is a system for Mathematica 2.x and later for doing basic tensor analysis, available for free.
A (0,1) tensor is a covector. A (0,2) tensor is a bilinear form. An example is the metric tensor . A (1,1) tensor is a linear map. An example is the delta, , which is the identity map, or a Lorentz transformation .
Academic Torrents [1] [2] [3] [4] [5] [6] is a website which enables the sharing of research data using the BitTorrent protocol. The site was founded in November 2013 ...
A mixed state is described by a density matrix ρ, that is a non-negative trace-class operator of trace 1 on the tensor product . The partial trace of ρ with respect to the system B , denoted by ρ A {\displaystyle \rho ^{A}} , is called the reduced state of ρ on system A .
Talk: Diffusion tensor imaging. ... Download QR code; Print/export Download as PDF; Printable version ...
Torrent poisoning is intentionally sharing corrupt data or data with misleading, deceiving file names using the BitTorrent protocol.This practice of uploading fake torrents is sometimes carried out by anti-infringement organisations as an attempt to prevent the peer-to-peer (P2P) sharing of copyrighted content, and to gather the IP addresses of downloaders.
The tensor can be flattened in three ways to obtain matrices comprising its mode-0, mode-1, and mode-2 vectors. [ 1 ] In multilinear algebra , mode-m flattening [ 1 ] [ 2 ] [ 3 ] , also known as matrixizing , matricizing , or unfolding , [ 4 ] is an operation that reshapes a multi-way array A {\displaystyle {\mathcal {A}}} into a matrix denoted ...