Antonio Maria Bernacchi, Italian castrato singer (1685-1756)
Clelia Bernacchi, Italian actress and dubber (1910-2006)
Louis Bernacchi, physicist, astronomer and explorer (1876-1942)
Piero Bernacchi, Italian journalist and presenter
Quirico Bernacchi, Italian cyclist (1914-2006)
I am trying to learn tensor calculus with Bernacchi's book "Tensors made easy". For the inner product of two rank-2 tensors he gets four different results, each of them a rank-2 tensor. Why can't there be a fifth solution, a scalar? What is wrong with the following equation?
$$\mathbf A \cdot...