Diabetes happens when one of the following occurs: 1  When the pancreas does not produce any insulin. 2  When the pancreas produces very little insulin. 3  When the body does not respond appropriately to insulin, a condition called insulin resistance..
Vector Calculus: Understanding the Dot Product. Think of the dot product as directional multiplication. Multiplication goes beyond repeated counting: it's applying the essence of one item to another. Complex multiplication combines rotations.
The dot product is also called the scalar product and inner product. In the latter context, it is usually written. The dot product is also defined for tensors and by. (21). So for four-vectors and, it is defined by. (22). (23). (24). where is the usual three-dimensional dot product.