field gradient Medical [′fēld ‚grād·ē·ənt] (physics) A vector obtained by applying the del operator to a scalar field. A tensor obtained by dyadic multiplication of the del operator with a vector field. McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003...
(2), with use being made of the Lorentz force (FL), when the bar (2) is situated in a magnetic field, wherein at least two sensors (1) are mechanically coupled to one another in order to force the same vibration frequency if a vibration of the bars (2) of these at least two ...
But if we take the gradient of a vector field, sayf⃗=[f1,f2,f3]f→=[f1,f2,f3], I know that this is ∇f⃗=⎡⎣⎢⎢⎢⎢∂f1∂x∂f2∂x∂f3∂x∂f1∂y∂f2∂y∂f3∂y∂f1∂z∂f2∂z∂f3∂z⎤⎦⎥⎥⎥⎥∇f→=[∂f1∂x...
TensorFlow has played a vital role in being a consistent framework and a compatible work zone for the dynamic machine learning and deep learning field. One of the most hyped domains is the neural network, and its working principle can be demonstrated easily with the help of the gradient descent...
If the gradient is a tensor field or a matrix rather than a vector, then the gradient function returns an error. Symbolic Math Toolbox™ currently does not support the dot or cross functions for symbolic matrix variables and functions of type symmatrix and symfunmatrix. If vector calculus ...
The direction of is the orientation in which the directional derivative has the largest value and is the value of that directional derivative. Furthermore, if , then the gradient is perpendicular to the level curve through if and perpendicular to the level surface through if . In tensor notati...
2, which shows a 2D field map through the brain of a normal volunteer. The low order static magnetic field variations have been minimized using the available shim coils, but anatomically related high spatial frequency magnetic field variations remain. These are particularly prominent around the ...
US5469056 * 1991年2月15日 1995年11月21日 Dornier Gmbh Planar gradiometers arranged on non-parallel surfaces for determination of a gradient tensor of a magnetic fieldW. Eschner, and W. Ludwig, "Planar gradiometers arranged on non-parallel surfaces for determination of a gradient tensor of a ...
Quadrupole interaction in a uniform space Q -e -e +e +e Quadrupole nuclei with a half-integer spin larger than 1/2 possess a quadrupole moment Q, which interacts with the electric-field gradient (EFG) generated by their surroundings. The coupling of Q (a property of the nucleus) with an...
Principles, Methods, and Applications of Diffusion Tensor Imaging Susumu Mori, in Brain Mapping: The Methods (Second Edition), 2002 B. Pulsed Magnetic Field Gradient MRI scanners are always equipped with so-called “pulsed field gradient” instruments. This gradient system is very versatile equipment...