This note gives the well known calculations for electron electron spin spin interaction theory in ESR in preparation for the calculations of the effect of the vacuum planned for Note 395(3). The usual theory develops the contact term with the Dirac delta function, but this is a dubious procedure, because ordinary differentiation shows that the contact term is zero. Therefore in the next note it will be developed with the results of UFT394 using vacuum fluctuations, an entirely new idea in physics, and the Dirac delta function not used.