Among those we have analyzed up to now in the mathematical-historical concept, Arminius is as much a battle for liberty as Marathon. Both battles are also decisive. D. The battle of Ch�lons-Sur-Marne (451 B.C.) or the battle of the Catalunian Plains, was a victory over Attila, the King of the Huns.� I should first explain that in the mathematics of history, the Roman Empire began in the year 270 B.C. and lasted up to 129 B.C. (a duration of 141 years), it had a Great Depression era from 129 to 59 B.C. (a duration of 188 years), a second period of great strategic victories from 59 B.C. to 161 A.D. (a duration of 102 years). The Empire�s total duration was 575 years. As a consequence, Attila did not fight against the real Roman Empire, as Joaqu�n Izquierdo Creselles states in his Summary of General History (Volume I, page 156): �Invasions begin. The barbarians took advantage of this disorganization to invade the Empire. The army was not even close to what it had once been; nobody wanted to be a soldier. The infantry was being recruited from among the lowest classes and the cavalry was almost totally made up of Barbarians. In reality, towards the end of the III Century there was no Roman Army to speak of�.....� Barbarian gangs appeared in the IV and V Century, wherefore, it is not worth saying that the barbarians defeated the Roman army since it no longer existed in the era of invasions and on the contrary, it was the Barbarians who made up the new army that substituted the real one, the old one of the Republic and of the Empire�. ����� �In the V Century entire nations were confederated, as were the Burgundians and the Visigoths. There was nothing but Barbarian armies, commanded by Barbarian chiefs and that, nevertheless, were called Roman and fought for Rome. But in fact, the Roman power did not exist and the last invasions had to end with the shadow of the authority that remained in the Eternal City�. The Huns entered Europe crossing the Tanais in the year 375. They defeated and conquered the Alanos, the Ostrogoths and other tribes, who populated the margins of the Danube. In the year 450, Attila founded Buba at the shores of the Danube extending his domicile to the North of this river and the Black Sea, as well as to the West of the Caucasian, including areas having Slav and Gothic populations of and Teutonic origins.� The South of the Danube was also a Hun province, from the Sau River to Novi, in Thrace.