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Ultrasound is the only non-contact method of imaging and it can offer real-time and high-resolution information. The ultrasound can detect blood flow in tissue without any invasive technology like CAT (Cardiac Atrium Tomography) or MRI (Magnetic Resonance Imaging). A new theorem has been written on the surface waves on an inhomogeneous transversely isotropic half-space. The new theorem is relevant to many areas of science, engineering, physics and mathematics.

This is a common misconception. The theorem is not true for all networks, and the restrictions should be remembered. Using reciprocity where it does not apply leads to seriously erroneous results. This Tutorial will explain what the reciprocity theorem is, and give examples to make its meaning clear. We are going to study the structure of linear, bilateral networks. We shall know how to construct reciprocal graphs in order to establish fundamental fundamental properties of graphs. The reciprocal graph is a graph in which each vertex is adjacent to every other vertex.

The current (I) within any branch of a network is equal to the current through it when that branch was originally placed. If that branch is then split into two or more branches (with the same source) the current through each of those branches will be equal to the sum of currents through all existing branches in each subsequent split.

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