Metcalfe’s law

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Metcalfe’s Law is a theory related to technology[1] and communications. It suggests that the value of a network is linked to the number of its users. In particular, it argues that the worth of a network is equal to the square of the number of users it has. This concept is often used when looking at social networks and telecommunications. Understanding Metcalfe’s Law is useful for analyzing how networks and social platforms grow and the impact they have. Essentially, the more users a network has, the more valuable it becomes to the community using it. This law was first introduced in 1983 and has been influential in how we understand and value networks.

Terms definitions
1. technology. Technology, derived from the Greek words meaning craft and knowledge, is a broad term that refers to the tools, machines, and systems developed by humans to solve problems or fulfill objectives. Originating with primitive tools like stone axes and the discovery of fire, technology has evolved significantly throughout human history. It has been instrumental in different eras, from the invention of the wheel and advanced irrigation systems in ancient civilizations to the birth of universities and printing press during the medieval and Renaissance periods. The Industrial Revolution in the 18th century marked a significant shift in mass production and innovation, giving rise to modern technologies like electricity, automobiles, and digital communication platforms. Today, technology is integral to various aspects of life and society, driving economic growth and societal change, while also raising concerns about security, privacy, and environmental impacts. The future of technology is expected to bring even more advancements, with the rise of artificial intelligence predicted to have significant implications for the job market.
Metcalfe's law (Wikipedia)

Metcalfe's law states that the financial value or influence of a telecommunications network is proportional to the square of the number of connected users of the system (n2). The law is named after Robert Metcalfe and was first proposed in 1980, albeit not in terms of users, but rather of "compatible communicating devices" (e.g., fax machines, telephones). It later became associated with users on the Ethernet after a September 1993 Forbesarticle by George Gilder.

Two telephones can make only one connection, five can make 10 connections, and twelve can make 66 connections.
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