# Algorithm for generating mathematical equations

**URL:** <https://discourse.julialang.org/t/algorithm-for-generating-mathematical-equations/41661>\
**Category:** Offtopic\
**Tags:** diffeq, machine-learning, symbolic, neural-network\
**Created:** [June 18, 2020, 10:08am UTC](https://discourse.julialang.org/t/algorithm-for-generating-mathematical-equations/41661 "2020-06-18T10:08:28Z")\
**Posts on this page:** 6\
**Page:** 1

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**Author:** ![LakshyaKhatri](https://sea2.discourse-cdn.com/julialang/user_avatar/discourse.julialang.org/lakshyakhatri/32/15492_2.png) [@LakshyaKhatri](https://discourse.julialang.org/u/LakshyaKhatri)\
**Post date:** [June 18, 2020, 10:08am UTC](https://discourse.julialang.org/t/algorithm-for-generating-mathematical-equations/41661/1 "2020-06-18T10:08:28Z")

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Hello Everyone,

I was reading a paper about DL for Symbolic Mathematics ([https://arxiv.org/pdf/1912.01412.pdf](https://arxiv.org/pdf/1912.01412.pdf)). In Section C of the appendix, they have mentioned a few methods for generating mathematical equations:

![Screenshot from 2020-06-18 11-36-26](https://global.discourse-cdn.com/julialang/original/3X/2/f/2f488c04b2b091e5aa6631b68a8035e10d542d6b.png)

 ![Screenshot from 2020-06-18 11-36-42](https://global.discourse-cdn.com/julialang/original/3X/3/b/3bd2b5eb9291ac4907e51ac0d8dc6895cd557d7a.png)

I am not understanding what is the definition for `K(e, n)` in that section. Can someone help me in understanding it?  
Any help would be appreciated 😄

Thanks in advance.

PS: I am new to the community, please let me know if I had made a mistake.

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**Author:** ![baggepinnen](https://sea2.discourse-cdn.com/julialang/user_avatar/discourse.julialang.org/baggepinnen/32/693_2.png) [@baggepinnen](https://discourse.julialang.org/u/baggepinnen)\
**Post date:** [June 18, 2020, 10:59am UTC](https://discourse.julialang.org/t/algorithm-for-generating-mathematical-equations/41661/2 "2020-06-18T10:59:17Z")

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Hey and welcome to the community. It’s seems like an interesting paper, but your question has nothing to do with Julia, so maybe “offtopic” would be a better category?

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**Author:** ![LakshyaKhatri](https://sea2.discourse-cdn.com/julialang/user_avatar/discourse.julialang.org/lakshyakhatri/32/15492_2.png) [@LakshyaKhatri](https://discourse.julialang.org/u/LakshyaKhatri)\
**Post date:** [June 18, 2020, 11:06am UTC](https://discourse.julialang.org/t/algorithm-for-generating-mathematical-equations/41661/3 "2020-06-18T11:06:16Z")

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Thanks for the information. I have changed the topic accordingly. 😄

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**Author:** ![baggepinnen](https://sea2.discourse-cdn.com/julialang/user_avatar/discourse.julialang.org/baggepinnen/32/693_2.png) [@baggepinnen](https://discourse.julialang.org/u/baggepinnen)\
**Post date:** [June 18, 2020, 11:08am UTC](https://discourse.julialang.org/t/algorithm-for-generating-mathematical-equations/41661/4 "2020-06-18T11:08:42Z")

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You could write an email to the authors of the paper and ask them to clarify.

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<div class="post-metadata">

**Author:** ![LakshyaKhatri](https://sea2.discourse-cdn.com/julialang/user_avatar/discourse.julialang.org/lakshyakhatri/32/15492_2.png) [@LakshyaKhatri](https://discourse.julialang.org/u/LakshyaKhatri)\
**Post date:** [June 18, 2020, 11:11am UTC](https://discourse.julialang.org/t/algorithm-for-generating-mathematical-equations/41661/5 "2020-06-18T11:11:10Z")

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That’s a great idea! I’ll do that.

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**Author:** ![Bardo](https://sea2.discourse-cdn.com/julialang/user_avatar/discourse.julialang.org/bardo/32/21601_2.png) [@Bardo](https://discourse.julialang.org/u/Bardo)\
**Post date:** [September 23, 2021, 6:36am UTC](https://discourse.julialang.org/t/algorithm-for-generating-mathematical-equations/41661/6 "2021-09-23T06:36:02Z")

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Reminds me of [Group method of data handling - Wikipedia](https://en.wikipedia.org/wiki/Group_method_of_data_handling)

A GMDH model with multiple inputs and one output is a subset of components of the _base function_ (1):

![Y(x_{1},ots ,x_{n})=a_{0}+um imits {{i=1}}^{m}a{i}f_{i}](https://wikimedia.org/api/rest_v1/media/math/render/svg/d11e1b782bd8231b60006125290c17d638f6c5fa)  
where _fi_ are elementary functions dependent on different sets of inputs, _ai_ are coefficients and _m_ is the number of the base function components.