The Roman empire expanded very rapidly and it was the biggest empire in the world for a long time.
An algebraic structure is a set with one or more finitary operations defined on it that satisfies a list of axioms.
Renaissance started as a cultural movement in Italy in the Late Medieval period and later spread to the rest of Europe.
The line of demarcation between prehistoric and historical times is crossed when people cease to live only in the present.
Mathematicians seek out patterns and use them to formulate new conjectures.  
A notational symbol that represents a number is called a numeral in mathematics. 
The process of extracting the underlying essence of a mathematical concept is called abstraction.
Historically, people have frequently waged wars against each other in order to expand their empires.
Ancient history indicates that various outside influences have helped formulate the culture and traditions of Eastern Europe.
Mappings between sets which preserve structures are of special interest in many fields of mathematics. 