The word 'tensor' is correct and is used in written English
It is typically used to describe a mathematical object, especially as part of a tensor field or a geometric object of higher order. For example, "The tensor field described the local curvature of the surface."
Sex differences in brains those visible to this technique, at least thus manifest themselves mainly when sex itself begins to matter.Dr Verma's work is important not only for what it has shown, but also as a demonstration of the power of diffusion tensor imaging.
Dr Verma's technique of choice is diffusion tensor imaging.
A new diagnostic technique, outlined at a recent conference of the Society for Neuroscience held in Miami Beach, may allow this to be done.The technique, invented by John Gabrieli and Torkel Klingberg of Stanford University, employs a trick known as diffusion tensor magnetic-resonance imaging (DTI) to look at the myelin sheaths that act as the insulation of nerve cells in the brain.
So, diffusion tensor imaging is able to detect bundles of such fibres, and see where they are going.Dr Verma and her team applied the technique to 428 men and boys, and 521 women and girls.
But this definition of the derivative cannot be carried over directly to a vector or tensor field defined over a general manifold.
In such a situation, tangent vectors, or more generally, tensors at two different points \(x^{i}\) and \(x^{i} + dx^{i}\), obey different transformation laws; consequently, their difference is not a tensor.
The space-time metric tensor not only encodes for spatiotemporal structure, but also represents the gravitational potentials, and thus gravitational energy.
For Brown, the TeVeS theory makes vivid the conceptual difference between the purely mathematical role of "metric tensor" and the role of codifying observable geometry; they happen to coincide in GR, but this is in a sense a contingent fact, not something guaranteed a priori by GR's mathematical apparatus.
Examples of local conditions one might want to impose on physically reasonable spacetimes are Einstein's gravitational field equations and so-called energy conditions that restrict the form of the stress-energy tensor Tab.
An example of the latter that will come into play below is the weak energy condition that says that the energy density is non-negative.[18] Einstein's field equations (sans cosmological constant) require that Tab is proportional to the Einstein tensor which is a functional of the metric and its derivatives.
For the sake of brevity, we will concentrate on the multiplicative fragment of linear logic, i.e., which connectives are tensor, par, linear implication, and negation.
