> For the complete documentation index, see [llms.txt](https://docs.likn.ai/llms.txt). Markdown versions of documentation pages are available by appending `.md` to page URLs; this page is available as [Markdown](https://docs.likn.ai/likn-studio/bonding-curves.md).

# Bonding Curves

<figure><img src="/files/rJeI4JE2ZHFvzwDFnE3Z" alt=""><figcaption></figcaption></figure>

LIKN introduces a carefully designed price curve that makes UA highly engaging and strategic during the primary market issuance phase. The initial price is set low to encourage user participation, with a practical and balanced upward price trajectory. This approach not only creates investment value for UA but also enhances market liquidity and engagement. Notably, LIKN is pioneering the first UA project platform in the crypto space to implement multiple pricing curves and issuance formats, establishing a new paradigm for UA issuance.

$$
y = a\*(\cfrac{x-b}{\sqrt{c + (x-b)^2}} +1)
$$

```javascript
uint256 private a = 150000000000000;     // a = fix_price / 2
uint256 private b = 400000000;           // b = 0
uint256 private c = 20000000000000000;   // c = 0
```

| The Nth Token | Price(ETH)       |
| ------------- | ---------------- |
| 1             | 0.0000085786438  |
| 100000        | 0.0000085825734  |
| 1000000       | 0.0000086180587  |
| 10000000      | 0.0000089849613  |
| 100000000     | 0.00001431989494 |
| 400000000     | 0.00015          |
| 800000000     | 0.00029142135623 |


---

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