mirror of
https://github.com/allaunthefox/Research-Stack.git
synced 2026-07-31 03:05:21 +00:00
135 lines
10 KiB
Markdown
135 lines
10 KiB
Markdown
# Equation Forest Topology Map
|
|
|
|
**Last Updated:** 2026-04-28
|
|
**Total Nodes:** 14
|
|
**Total Connections:** 10
|
|
**Total Paths:** 6
|
|
|
|
## Forest Structure
|
|
|
|
### Domain Clusters
|
|
|
|
```
|
|
┌─────────────────────────────────────────────────────────────────┐
|
|
│ COGNITIVE LOAD DOMAIN │
|
|
│ ┌──────────────┐ variableShared (100) ┌──────────────┐ │
|
|
│ │intrinsicLoad │─────────────────────────────►│totalCognitive│ │
|
|
│ └──────────────┘ │ Load │ │
|
|
│ └──────────────┘ │
|
|
└─────────────────────────────────────────────────────────────────┘
|
|
|
|
┌─────────────────────────────────────────────────────────────────┐
|
|
│ FRAMEWORK/BRIDGE DOMAIN │
|
|
│ ┌──────────────┐ leanBridge (500) ┌──────────────┐ │
|
|
│ │couchEquation │─────────────────────────────►│frameEvolution│ │
|
|
│ └──────────────┘ │ Continuous │ │
|
|
│ └──────────────┘ │
|
|
└─────────────────────────────────────────────────────────────────┘
|
|
|
|
┌─────────────────────────────────────────────────────────────────┐
|
|
│ THERMODYNAMICS DOMAIN │
|
|
│ ┌──────────────┐ familyConnection (300) ┌──────────────┐ │
|
|
│ │pressurePiling│─────────────────────────────►│hugoniotTemp │ │
|
|
│ └──────────────┘ │ erature │ │
|
|
│ └──────────────┘ │
|
|
└─────────────────────────────────────────────────────────────────┘
|
|
|
|
┌─────────────────────────────────────────────────────────────────┐
|
|
│ ELECTROCHEMISTRY DOMAIN (MOF) │
|
|
│ ┌──────────────┐ electrochemical (150) ┌──────────────┐ │
|
|
│ │mofCO2_2e_ │─────────────────────────────►│mofCO2_2e_ │ │
|
|
│ │HCOOH │ │CO │ │
|
|
│ └──────────────┘ └──────────────┘ │
|
|
│ │ │ │
|
|
│ │ │ │
|
|
│ │ electronTransfer (400) │ │
|
|
│ └────────────────────────────────────────────┘ │
|
|
│ │ │
|
|
│ ▼ │
|
|
│ ┌──────────────┐ │
|
|
│ │mofCO2_6e_ │ │
|
|
│ │CH3OH │ │
|
|
│ └──────────────┘ │
|
|
│ │ │
|
|
│ │ │
|
|
│ electronTransfer (200)│ │
|
|
│ ▼ │
|
|
│ ┌──────────────┐ │
|
|
│ │mofCO2_8e_ │ │
|
|
│ │CH4 │ │
|
|
│ └──────────────┘ │
|
|
└─────────────────────────────────────────────────────────────────┘
|
|
|
|
┌─────────────────────────────────────────────────────────────────┐
|
|
│ TIME SERIES DOMAIN (AFFINE) │
|
|
│ ┌──────────────┐ timeSeries (250) ┌──────────────┐ │
|
|
│ │affineLinear │─────────────────────────────►│affineDecomp │ │
|
|
│ │Layer │ │osition │ │
|
|
│ └──────────────┘ └──────────────┘ │
|
|
│ │ │
|
|
│ │ │
|
|
│ timeSeries (300) │ │
|
|
│ ▼ │
|
|
│ ┌──────────────┐ │
|
|
│ │affinePeriodic│ │
|
|
│ └──────────────┘ │
|
|
│ │ │
|
|
│ │ │
|
|
│ timeSeries (200) │ │
|
|
│ ▼ │
|
|
│ ┌──────────────┐ │
|
|
│ │affineScaled │ │
|
|
│ │Periodic │ │
|
|
│ └──────────────┘ │
|
|
└─────────────────────────────────────────────────────────────────┘
|
|
```
|
|
|
|
## Connection Type Distribution
|
|
|
|
| Connection Type | Count | Gradient Range | Usage |
|
|
|----------------|-------|----------------|-------|
|
|
| variableShared | 1 | 100 | Cognitive load relationships |
|
|
| familyConnection | 1 | 300 | Thermodynamic families |
|
|
| leanBridge | 1 | 500 | Framework bridging |
|
|
| electrochemical | 1 | 150 | MOF reaction pathways |
|
|
| electronTransfer | 2 | 200-400 | MOF electron transfer chains |
|
|
| timeSeries | 3 | 200-300 | Affine time series decomposition |
|
|
|
|
## Gradient Path Summary
|
|
|
|
| Path ID | Domain | Connections | Cost | Description |
|
|
|---------|--------|-------------|------|-------------|
|
|
| 0 | Framework + Cognitive | couchToFrame + loadToCognitive | 600 | Bridge to frame evolution |
|
|
| 1 | Thermodynamics | pressureToHugoniot | 300 | Pressure to temperature |
|
|
| 2 | MOF Electrochemical | mof2eCO_to_6eCH3OH + mof6eCH3OH_to_8eCH4 | 600 | CO → CH3OH → CH4 chain |
|
|
| 3 | MOF Electrochemical | mof2eHCOOH_to_2eCO | 150 | HCOOH → CO conversion |
|
|
| 4 | Affine Time Series | affineLinear_to_decomposition + affineDecomposition_to_periodic | 550 | Linear → Decomposition → Periodic |
|
|
| 5 | Affine Time Series | affinePeriodic_to_scaled | 200 | Periodic → Scaled Periodic |
|
|
|
|
## Domain Isolation Analysis
|
|
|
|
**Highly Connected Domains:**
|
|
- MOF Electrochemistry: 3 connections, 2 paths (internal chain structure)
|
|
- Affine Time Series: 3 connections, 2 paths (linear decomposition chain)
|
|
|
|
**Sparse Domains:**
|
|
- Cognitive Load: 1 connection, 1 path (isolated pair)
|
|
- Framework/Bridge: 1 connection, 1 path (isolated pair)
|
|
- Thermodynamics: 1 connection, 1 path (isolated pair)
|
|
|
|
**Cross-Domain Connections:** None currently - domains are isolated
|
|
|
|
## Forest Shape Characteristics
|
|
|
|
1. **Clustered Structure:** Forest consists of 5 isolated domain clusters
|
|
2. **No Cross-Domain Bridges:** No connections between different domains
|
|
3. **Linear Chains:** MOF and Affine domains form linear chains
|
|
4. **Gradient Distribution:** Costs range from 100-600 milli-units
|
|
5. **Path Length:** Paths range from 1-2 connections
|
|
|
|
## Potential Expansion Opportunities
|
|
|
|
1. **Cross-Domain Bridges:** Could connect thermodynamics to electrochemistry (temperature effects on reaction rates)
|
|
2. **Cognitive-MOF Integration:** Load monitoring for catalyst performance
|
|
3. **Framework-Affine Bridge:** Couch equation to time series forecasting
|
|
4. **Unified Gradient Surface:** Currently fragmented - could be unified with cross-domain connections
|