# Symmetric Rebase Upgrade Proposal

**URL:** <https://forum.ampleforth.org/t/symmetric-rebase-upgrade-proposal/335>\
**Category:** Ampleforth Governance\
**Created:** [February 10, 2022, 10:42pm UTC](https://forum.ampleforth.org/t/symmetric-rebase-upgrade-proposal/335 "2022-02-10T22:42:40Z")\
**Posts on this page:** 1\
**Showing post:** 8

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**Author:** ![Togenkyo](https://yyz2.discourse-cdn.com/flex030/user_avatar/forum.ampleforth.org/togenkyo/32/102_2.png) [@Togenkyo](https://forum.ampleforth.org/u/Togenkyo)\
**Post date:** [February 12, 2022, 4:36pm UTC](https://forum.ampleforth.org/t/symmetric-rebase-upgrade-proposal/335/8 "2022-02-12T16:36:56Z")

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Dropping these graphs for better visualization:

**Symmetric Sigmoid Function:**  
(by @kbambridge)

 ![](https://canada1.discourse-cdn.com/flex030/uploads/governance1/original/1X/78b2cc18237995221c977a4487ad38dc76a50736.jpeg)

**Symmetric Sigmoid vs Linear:**  
u = 0.1, l = -0.1, g = 3

 ![](https://canada1.discourse-cdn.com/flex030/uploads/governance1/original/1X/9d6eb827adf978909c15f1b3bb9a2425a5876e6e.jpeg)

u = 0.11, l = -0.11, g = 4

 ![](https://canada1.discourse-cdn.com/flex030/uploads/governance1/original/1X/ec1d2b36d70a1d75ed6b8e268f58c678b001f4dd.jpeg)

**Symmetric Sigmoid vs Sigmoid Curve:**  
u = 0.1, l = -0.1, g = 3

 ![](https://canada1.discourse-cdn.com/flex030/uploads/governance1/original/1X/38cd2cd740d1e6fe7647fc81aa2ac72e0d5f5205.jpeg)

u = 0.11, l = -0.11, g = 4

 ![](https://canada1.discourse-cdn.com/flex030/uploads/governance1/original/1X/a3a953ef8d9c9c7cbdada5ca41615d8b725f2b44.jpeg)

If you want to experiment around with the parameters, you can do it here by using the slide bars:  
(Desktop recommended)

> **[Sigmoid Curve vs Symmetric Curve](https://www.desmos.com/calculator/c2cljhyxga)**
>
> Sigmoid Curve vs Symmetric Curve

I’m still thinking about the implications of the symmetric properties, will comment later again.

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_[View the full topic](https://forum.ampleforth.org/t/symmetric-rebase-upgrade-proposal/335)._
