Nomadic and agrarian societies have coexisted throughout history, each with their own unique characteristics and ways of life. The relations between these two types of societies can be explored in terms of their economic, social, and cultural interactions.

Economic Relations:
1. Complementary Roles: Nomadic and agrarian societies often complement each other economically. Nomads rely on the land for grazing their livestock and moving from one place to another in search of fresh pastures. In contrast, agrarian societies depend on settled agriculture for food production. The surplus agricultural produce can be traded with nomads for animal products such as meat, milk, and wool.

2. Trade and Barter: Nomads and agrarian societies engage in trade and barter exchanges. Nomads can provide animal products and other resources not available to agrarian societies, while agrarian societies can offer agricultural produce and manufactured goods. This trade relationship benefits both groups by fulfilling their respective needs.

Social Relations:
1. Interdependence: Nomadic and agrarian societies often rely on each other for various social needs. Nomads may seek shelter, food, and supplies from settled communities during their travels, while agrarian societies may require the assistance of nomads for transportation, protection, or specialized skills such as herding.

2. Cultural Exchange: Nomadic and agrarian societies have the opportunity to exchange cultural practices, traditions, and knowledge. This exchange can occur through interactions, marriages, festivals, and shared experiences. It enriches the cultural diversity of both societies and contributes to the development of new ideas and practices.

Cultural Relations:
1. Nomadic Influence: Nomadic societies often have a significant impact on the cultural practices of agrarian communities. For example, nomadic tribes may introduce new forms of music, dance, or art to settled societies. They can also influence the cuisine, clothing, and language of agrarian communities they come into contact with.

2. Agrarian Impact: Agrarian societies can also influence nomadic cultures by introducing them to settled ways of life. This can include the adoption of agricultural techniques, the use of manufactured goods, or the influence of religious and social practices.

In conclusion, the relations between nomadic and agrarian societies are characterized by economic interdependence, social interactions, and cultural exchange. These relationships have shaped the development of both types of societies throughout history and have contributed to their mutual growth and prosperity.