Ethereum: Linear Bonding curve price for a given supply (P(S) = S) and Price of a trade (1/2*S^2))

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In the context of blockchain and cryptocurrency markets, especially in Ethereum, there is an interesting relationship between two important concepts: In this article, we will explore how these two equations are connected.

Linear Connection Curve Equation (LBC)

The LBC Equation, also known as the “link curve”, represents a hypothetical scenario in which all market Participants agree on a unique price for an asset, such as ether (ETH), at a given level. This is usually obtained by a process of decentralized governance and confidence among investors.

LBC Equation is often represented mathematically as:

P (s) = s

If

Full Function

The full function, noted by ∫f (x) dx, represents the total change in market capitalization. Essentially, it is an accumulation of all previous changes in the market price, which can be used to forecast future.

In the context of Cryptocurrency Markets, full function can be represented mathematically as:

∫P (s) ds = s

If

Connection Between LBC Equation and its Full Function

Now, let’s examine how these two equations are connected. At a certain level of a supply,

∫P (s) ds = ∫sds

= S^2/2

This result has an intuitive sense

Hypothetical scenario 2. This means that, in practice,

Implications and Limitations

Market Dynamics, it is essential to note more implications and limitations:

1.

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  • Over -implying :

The Equation of the Linear Connection Understanding how these equations interact,

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