Homeostasis logic/math problem
$begingroup$
I'm trying to derive a generic formula for a programming algorithm. I might be overthinking this or underthinking it... we'll see.
Each of the triangles below represents a container. Each container will transfer a percentage of whatever is transferred into it to the downstream container until a homeostasis is found.
In the diagram, A, B, and C will transfer 50%, 20%, and 30% respectively of what is transferred into them.
Here's what a few iterations of this looks like. It's important to note that the amount transferred out of a container at a given iteration would only be a percentage of what is transferred in on the last iteration (i.e., NOT the total already in the container). These numbers appear to be going to a limit (and intuitively they have to be), but I'm not sure what the formula should be.
This is a very simple example, but I'm looking for would need to be able to capture more complex scenarios. This could be done with a brute force approach, but I'm hoping there's a simplified method. As containers are added, things can quickly get out of hand. For example, going from 3 containers to 4 and keeping connections between all of them increases the number of connections from 3 to 6 (I believe this would follow the 1, 3, 6, 10, 15, 21... pattern).
Okay, let's see what you've got, SO.
mathematics calculation-puzzle circuitry
asked 9 mins ago
SuperCodeBrahSuperCodeBrah
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add a comment |
$begingroup$
I'm trying to derive a generic formula for a programming algorithm. I might be overthinking this or underthinking it... we'll see.
Each of the triangles below represents a container. Each container will transfer a percentage of whatever is transferred into it to the downstream container until a homeostasis is found.
In the diagram, A, B, and C will transfer 50%, 20%, and 30% respectively of what is transferred into them.
Here's what a few iterations of this looks like. It's important to note that the amount transferred out of a container at a given iteration would only be a percentage of what is transferred in on the last iteration (i.e., NOT the total already in the container). These numbers appear to be going to a limit (and intuitively they have to be), but I'm not sure what the formula should be.
This is a very simple example, but I'm looking for would need to be able to capture more complex scenarios. This could be done with a brute force approach, but I'm hoping there's a simplified method. As containers are added, things can quickly get out of hand. For example, going from 3 containers to 4 and keeping connections between all of them increases the number of connections from 3 to 6 (I believe this would follow the 1, 3, 6, 10, 15, 21... pattern).
Okay, let's see what you've got, SO.
mathematics calculation-puzzle circuitry
asked 9 mins ago
SuperCodeBrahSuperCodeBrah
101
New contributor
SuperCodeBrah is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
$endgroup$
add a comment |
$begingroup$
I'm trying to derive a generic formula for a programming algorithm. I might be overthinking this or underthinking it... we'll see.
Each of the triangles below represents a container. Each container will transfer a percentage of whatever is transferred into it to the downstream container until a homeostasis is found.
In the diagram, A, B, and C will transfer 50%, 20%, and 30% respectively of what is transferred into them.
Here's what a few iterations of this looks like. It's important to note that the amount transferred out of a container at a given iteration would only be a percentage of what is transferred in on the last iteration (i.e., NOT the total already in the container). These numbers appear to be going to a limit (and intuitively they have to be), but I'm not sure what the formula should be.
This is a very simple example, but I'm looking for would need to be able to capture more complex scenarios. This could be done with a brute force approach, but I'm hoping there's a simplified method. As containers are added, things can quickly get out of hand. For example, going from 3 containers to 4 and keeping connections between all of them increases the number of connections from 3 to 6 (I believe this would follow the 1, 3, 6, 10, 15, 21... pattern).
Okay, let's see what you've got, SO.
mathematics calculation-puzzle circuitry
asked 9 mins ago
SuperCodeBrahSuperCodeBrah
101
New contributor
SuperCodeBrah is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
$endgroup$
I'm trying to derive a generic formula for a programming algorithm. I might be overthinking this or underthinking it... we'll see.
Each of the triangles below represents a container. Each container will transfer a percentage of whatever is transferred into it to the downstream container until a homeostasis is found.
In the diagram, A, B, and C will transfer 50%, 20%, and 30% respectively of what is transferred into them.
Here's what a few iterations of this looks like. It's important to note that the amount transferred out of a container at a given iteration would only be a percentage of what is transferred in on the last iteration (i.e., NOT the total already in the container). These numbers appear to be going to a limit (and intuitively they have to be), but I'm not sure what the formula should be.
This is a very simple example, but I'm looking for would need to be able to capture more complex scenarios. This could be done with a brute force approach, but I'm hoping there's a simplified method. As containers are added, things can quickly get out of hand. For example, going from 3 containers to 4 and keeping connections between all of them increases the number of connections from 3 to 6 (I believe this would follow the 1, 3, 6, 10, 15, 21... pattern).
Okay, let's see what you've got, SO.
mathematics calculation-puzzle circuitry
mathematics calculation-puzzle circuitry
asked 9 mins ago
SuperCodeBrahSuperCodeBrah
101
New contributor
SuperCodeBrah is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
asked 9 mins ago
SuperCodeBrahSuperCodeBrah
101
New contributor
SuperCodeBrah is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
asked 9 mins ago
SuperCodeBrahSuperCodeBrah
101
New contributor
SuperCodeBrah is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
asked 9 mins ago
SuperCodeBrahSuperCodeBrah
101
asked 9 mins ago
SuperCodeBrahSuperCodeBrah
101
101
New contributor
SuperCodeBrah is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
New contributor
SuperCodeBrah is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
SuperCodeBrah is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
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