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| 1 |
+
---
|
| 2 |
+
license: mit
|
| 3 |
+
task_categories:
|
| 4 |
+
- other
|
| 5 |
+
tags:
|
| 6 |
+
- blockchain
|
| 7 |
+
- proof-of-useful-work
|
| 8 |
+
- np-complete
|
| 9 |
+
- computational-complexity
|
| 10 |
+
- consensus
|
| 11 |
+
- cryptography
|
| 12 |
+
- decentralized
|
| 13 |
+
- peer-to-peer
|
| 14 |
+
size_categories:
|
| 15 |
+
- 1K<n<10K
|
| 16 |
+
---
|
| 17 |
+
|
| 18 |
+
# ๐ฌ COINjecture NP Solutions Dataset v3
|
| 19 |
+
|
| 20 |
+
### Institutional-Grade Blockchain Research Data
|
| 21 |
+
|
| 22 |
+
[](https://opensource.org/licenses/MIT)
|
| 23 |
+
[]()
|
| 24 |
+
[]()
|
| 25 |
+
|
| 26 |
+
**A comprehensive, real-time dataset of NP-complete problem solutions generated through Proof-of-Useful-Work (PoUW) blockchain consensus**
|
| 27 |
+
|
| 28 |
+
[Overview](#-overview) โข [Data Schema](#-data-schema) โข [Metrics Categories](#-metrics-categories) โข [Usage](#-usage) โข [Citation](#-citation)
|
| 29 |
+
|
| 30 |
+
---
|
| 31 |
+
|
| 32 |
+
## ๐ Overview
|
| 33 |
+
|
| 34 |
+
This dataset contains **institutional-grade metrics** from the COINjecture Network B blockchain, which implements a novel **Proof-of-Useful-Work (PoUW)** consensus mechanism. Unlike traditional Proof-of-Work systems that compute arbitrary hashes, COINjecture miners solve genuine NP-complete computational problems, producing verifiable solutions with real-world applicability.
|
| 35 |
+
|
| 36 |
+
### Key Characteristics
|
| 37 |
+
|
| 38 |
+
| Property | Value |
|
| 39 |
+
|----------|-------|
|
| 40 |
+
| **Network** | COINjecture Network B v3 (Fresh Genesis - December 2024) |
|
| 41 |
+
| **Genesis Hash** | `4a80254b4a48e867b57399469b0a1fbaba8848e8ac738587b55ebf6e6b8c4b23` |
|
| 42 |
+
| **Chain ID** | `coinject-network-b-v2` |
|
| 43 |
+
| **Data Version** | v3.1 (Institutional Grade) |
|
| 44 |
+
| **Problem Types** | SAT, SubsetSum, TSP |
|
| 45 |
+
| **Update Frequency** | Every ~10 blocks (~10 seconds) |
|
| 46 |
+
| **Metrics Per Record** | 54+ fields |
|
| 47 |
+
| **Format** | JSON Lines (.jsonl) |
|
| 48 |
+
| **Consensus** | Multi-peer consensus with 51% agreement threshold |
|
| 49 |
+
|
| 50 |
+
### What's New in v3
|
| 51 |
+
|
| 52 |
+
| Feature | Description |
|
| 53 |
+
|---------|-------------|
|
| 54 |
+
| **Fresh Genesis** | Clean chain start with new genesis block |
|
| 55 |
+
| **Improved Consensus** | Multi-peer consensus with configurable thresholds |
|
| 56 |
+
| **Connection Stability** | TCP keepalive, yamux optimization, 5-min idle timeout |
|
| 57 |
+
| **Better Sync** | Nodes sync properly regardless of block height differences |
|
| 58 |
+
| **P2P Improvements** | Stable gossipsub mesh with proper peer tracking |
|
| 59 |
+
|
| 60 |
+
### Research Applications
|
| 61 |
+
|
| 62 |
+
- **Computational Complexity**: Empirical analysis of NP-complete problem hardness
|
| 63 |
+
- **Algorithm Performance**: Solve/verify time distributions across problem types
|
| 64 |
+
- **Distributed Systems**: Consensus metrics and network propagation analysis
|
| 65 |
+
- **Energy Research**: Computational efficiency and resource utilization studies
|
| 66 |
+
- **Cryptographic Analysis**: Hash function behavior and difficulty adjustment
|
| 67 |
+
|
| 68 |
+
---
|
| 69 |
+
|
| 70 |
+
## ๐ Data Schema
|
| 71 |
+
|
| 72 |
+
Each record represents a block in the COINjecture blockchain containing a solved NP-complete problem instance.
|
| 73 |
+
|
| 74 |
+
### Core Fields
|
| 75 |
+
|
| 76 |
+
| Field | Type | Description |
|
| 77 |
+
|-------|------|-------------|
|
| 78 |
+
| block_height | uint64 | Sequential block number in the canonical chain |
|
| 79 |
+
| block_hash | string | SHA-256 hash of the block header (hex-encoded) |
|
| 80 |
+
| prev_block_hash | string | Hash of the parent block (enables chain traversal) |
|
| 81 |
+
| timestamp | string | ISO 8601 timestamp of block creation |
|
| 82 |
+
| problem_type | string | NP-complete problem class: SAT, SubsetSum, or TSP |
|
| 83 |
+
|
| 84 |
+
### Problem Instance Fields
|
| 85 |
+
|
| 86 |
+
| Field | Type | Description |
|
| 87 |
+
|-------|------|-------------|
|
| 88 |
+
| problem_instance | object | Serialized problem definition (varies by type) |
|
| 89 |
+
| solution | object | Verified solution to the problem instance |
|
| 90 |
+
| problem_size | uint32 | Instance complexity metric (variables, nodes, etc.) |
|
| 91 |
+
| is_satisfiable | boolean | For SAT: whether a satisfying assignment exists |
|
| 92 |
+
|
| 93 |
+
---
|
| 94 |
+
|
| 95 |
+
## ๐ Metrics Categories
|
| 96 |
+
|
| 97 |
+
### โฑ๏ธ Timing Metrics (Microsecond Precision)
|
| 98 |
+
|
| 99 |
+
High-resolution timing data for performance analysis:
|
| 100 |
+
|
| 101 |
+
| Field | Type | Unit | Description |
|
| 102 |
+
|-------|------|------|-------------|
|
| 103 |
+
| solve_time_us | uint64 | ฮผs | Time to find the solution |
|
| 104 |
+
| verify_time_us | uint64 | ฮผs | Time to verify solution correctness |
|
| 105 |
+
| block_time_seconds | float64 | s | Total block production time |
|
| 106 |
+
| mining_attempts | uint64 | count | Hash attempts before valid block found |
|
| 107 |
+
|
| 108 |
+
### ๐พ Memory Metrics
|
| 109 |
+
|
| 110 |
+
Resource utilization during computation:
|
| 111 |
+
|
| 112 |
+
| Field | Type | Unit | Description |
|
| 113 |
+
|-------|------|------|-------------|
|
| 114 |
+
| solve_memory_bytes | uint64 | bytes | Peak memory during solve phase |
|
| 115 |
+
| verify_memory_bytes | uint64 | bytes | Peak memory during verification |
|
| 116 |
+
| peak_memory_bytes | uint64 | bytes | Maximum memory allocation |
|
| 117 |
+
|
| 118 |
+
### ๐ Network Metrics
|
| 119 |
+
|
| 120 |
+
Distributed system behavior:
|
| 121 |
+
|
| 122 |
+
| Field | Type | Unit | Description |
|
| 123 |
+
|-------|------|------|-------------|
|
| 124 |
+
| peer_count | uint32 | count | Connected peers at block time |
|
| 125 |
+
| propagation_time_ms | uint64 | ms | Block propagation latency |
|
| 126 |
+
| sync_lag_blocks | int64 | blocks | Distance from network tip |
|
| 127 |
+
|
| 128 |
+
### โ๏ธ Mining Metrics
|
| 129 |
+
|
| 130 |
+
Consensus and difficulty data:
|
| 131 |
+
|
| 132 |
+
| Field | Type | Description |
|
| 133 |
+
|-------|------|-------------|
|
| 134 |
+
| difficulty_target | string | Current difficulty target (hex) |
|
| 135 |
+
| nonce | uint64 | Winning nonce value |
|
| 136 |
+
| hash_rate_estimate | float64 | Estimated network hash rate (H/s) |
|
| 137 |
+
| mined_locally | boolean | Whether this node mined the block |
|
| 138 |
+
|
| 139 |
+
### ๐ Chain Metrics
|
| 140 |
+
|
| 141 |
+
Blockchain state information:
|
| 142 |
+
|
| 143 |
+
| Field | Type | Description |
|
| 144 |
+
|-------|------|-------------|
|
| 145 |
+
| chain_work | string | Cumulative proof-of-work score |
|
| 146 |
+
| transaction_count | uint32 | Transactions in block |
|
| 147 |
+
| block_size_bytes | uint64 | Serialized block size |
|
| 148 |
+
|
| 149 |
+
### ๐ฐ Economic Metrics
|
| 150 |
+
|
| 151 |
+
Token economics data (ฮท = ฮป = 1/โ2 tokenomics):
|
| 152 |
+
|
| 153 |
+
| Field | Type | Unit | Description |
|
| 154 |
+
|-------|------|------|-------------|
|
| 155 |
+
| block_reward | uint64 | tokens | Mining reward for this block |
|
| 156 |
+
| total_fees | uint64 | tokens | Transaction fees collected |
|
| 157 |
+
|
| 158 |
+
### ๐ฅ๏ธ Hardware Context
|
| 159 |
+
|
| 160 |
+
Node environment information for reproducibility:
|
| 161 |
+
|
| 162 |
+
| Field | Type | Description |
|
| 163 |
+
|-------|------|-------------|
|
| 164 |
+
| cpu_model | string | Processor model identifier |
|
| 165 |
+
| cpu_cores | uint32 | Physical CPU cores |
|
| 166 |
+
| cpu_threads | uint32 | Logical CPU threads |
|
| 167 |
+
| ram_total_bytes | uint64 | Total system RAM |
|
| 168 |
+
| os_info | string | Operating system details |
|
| 169 |
+
|
| 170 |
+
### ๐ท๏ธ Provenance Metadata
|
| 171 |
+
|
| 172 |
+
Data lineage and quality indicators:
|
| 173 |
+
|
| 174 |
+
| Field | Type | Description |
|
| 175 |
+
|-------|------|-------------|
|
| 176 |
+
| node_version | string | Software version that produced this record |
|
| 177 |
+
| node_id | string | Unique node identifier (anonymized) |
|
| 178 |
+
| data_version | string | Schema version (currently v3.1) |
|
| 179 |
+
| measurement_confidence | float64 | Data quality score (0.0-1.0) |
|
| 180 |
+
|
| 181 |
+
---
|
| 182 |
+
|
| 183 |
+
## ๐ฌ Problem Types
|
| 184 |
+
|
| 185 |
+
### SAT (Boolean Satisfiability)
|
| 186 |
+
|
| 187 |
+
The canonical NP-complete problem. Given a Boolean formula in CNF, find a satisfying assignment or prove none exists.
|
| 188 |
+
|
| 189 |
+
```json
|
| 190 |
+
{
|
| 191 |
+
"problem_type": "SAT",
|
| 192 |
+
"problem_instance": {
|
| 193 |
+
"num_variables": 50,
|
| 194 |
+
"num_clauses": 215,
|
| 195 |
+
"clauses": [[1, -3, 5], [-2, 4], ...]
|
| 196 |
+
},
|
| 197 |
+
"solution": {
|
| 198 |
+
"satisfiable": true,
|
| 199 |
+
"assignment": [true, false, true, ...]
|
| 200 |
+
}
|
| 201 |
+
}
|
| 202 |
+
```
|
| 203 |
+
|
| 204 |
+
### SubsetSum
|
| 205 |
+
|
| 206 |
+
Given a set of integers and a target sum, find a subset that sums to the target.
|
| 207 |
+
|
| 208 |
+
```json
|
| 209 |
+
{
|
| 210 |
+
"problem_type": "SubsetSum",
|
| 211 |
+
"problem_instance": {
|
| 212 |
+
"set": [3, 7, 1, 8, -2, 4],
|
| 213 |
+
"target": 12
|
| 214 |
+
},
|
| 215 |
+
"solution": {
|
| 216 |
+
"subset_indices": [1, 3, 5]
|
| 217 |
+
}
|
| 218 |
+
}
|
| 219 |
+
```
|
| 220 |
+
|
| 221 |
+
### TSP (Traveling Salesman Problem)
|
| 222 |
+
|
| 223 |
+
Find the shortest Hamiltonian cycle through all vertices in a weighted graph.
|
| 224 |
+
|
| 225 |
+
```json
|
| 226 |
+
{
|
| 227 |
+
"problem_type": "TSP",
|
| 228 |
+
"problem_instance": {
|
| 229 |
+
"num_cities": 20,
|
| 230 |
+
"distances": [[0, 10, 15], [10, 0, 20], ...]
|
| 231 |
+
},
|
| 232 |
+
"solution": {
|
| 233 |
+
"tour": [0, 3, 1, 4, 2, 0],
|
| 234 |
+
"total_distance": 97
|
| 235 |
+
}
|
| 236 |
+
}
|
| 237 |
+
```
|
| 238 |
+
|
| 239 |
+
---
|
| 240 |
+
|
| 241 |
+
## ๐ Usage
|
| 242 |
+
|
| 243 |
+
### Loading with Hugging Face Datasets
|
| 244 |
+
|
| 245 |
+
```python
|
| 246 |
+
from datasets import load_dataset
|
| 247 |
+
|
| 248 |
+
# Load the complete dataset
|
| 249 |
+
dataset = load_dataset("COINjecture/NP_Solutions_v3")
|
| 250 |
+
|
| 251 |
+
# Access records
|
| 252 |
+
for record in dataset["train"]:
|
| 253 |
+
print(f"Block {record['block_height']}: {record['problem_type']}")
|
| 254 |
+
print(f" Solve time: {record['solve_time_us']}ฮผs")
|
| 255 |
+
print(f" CPU: {record['cpu_model']}")
|
| 256 |
+
```
|
| 257 |
+
|
| 258 |
+
### Loading Raw JSONL
|
| 259 |
+
|
| 260 |
+
```python
|
| 261 |
+
import json
|
| 262 |
+
from pathlib import Path
|
| 263 |
+
|
| 264 |
+
records = []
|
| 265 |
+
for jsonl_file in Path("data").glob("*.jsonl"):
|
| 266 |
+
with open(jsonl_file) as f:
|
| 267 |
+
for line in f:
|
| 268 |
+
records.append(json.loads(line))
|
| 269 |
+
|
| 270 |
+
print(f"Loaded {len(records)} records")
|
| 271 |
+
```
|
| 272 |
+
|
| 273 |
+
### Filtering by Problem Type
|
| 274 |
+
|
| 275 |
+
```python
|
| 276 |
+
sat_problems = dataset["train"].filter(
|
| 277 |
+
lambda x: x["problem_type"] == "SAT"
|
| 278 |
+
)
|
| 279 |
+
print(f"SAT problems: {len(sat_problems)}")
|
| 280 |
+
```
|
| 281 |
+
|
| 282 |
+
### Performance Analysis Example
|
| 283 |
+
|
| 284 |
+
```python
|
| 285 |
+
import pandas as pd
|
| 286 |
+
|
| 287 |
+
# Convert to DataFrame for analysis
|
| 288 |
+
df = pd.DataFrame(dataset["train"])
|
| 289 |
+
|
| 290 |
+
# Analyze solve times by problem type
|
| 291 |
+
stats = df.groupby("problem_type")["solve_time_us"].agg(["mean", "std", "min", "max"])
|
| 292 |
+
print(stats)
|
| 293 |
+
|
| 294 |
+
# Hardware comparison
|
| 295 |
+
hardware_stats = df.groupby("cpu_model")["solve_time_us"].mean()
|
| 296 |
+
print(hardware_stats)
|
| 297 |
+
```
|
| 298 |
+
|
| 299 |
+
---
|
| 300 |
+
|
| 301 |
+
## ๐ Data Quality
|
| 302 |
+
|
| 303 |
+
### Verification Standards
|
| 304 |
+
|
| 305 |
+
All data in this dataset meets the following quality criteria:
|
| 306 |
+
|
| 307 |
+
| Standard | Description |
|
| 308 |
+
|----------|-------------|
|
| 309 |
+
| **Cryptographic Integrity** | Every block hash is verified against the chain |
|
| 310 |
+
| **Solution Validity** | All NP-complete solutions are independently verified |
|
| 311 |
+
| **Timing Accuracy** | Microsecond-precision timestamps from monotonic clocks |
|
| 312 |
+
| **Hardware Attribution** | Full system context for reproducibility |
|
| 313 |
+
| **Chain Continuity** | prev_block_hash enables complete chain reconstruction |
|
| 314 |
+
| **Consensus Verification** | Multi-peer agreement before block acceptance |
|
| 315 |
+
|
| 316 |
+
### Data Versioning
|
| 317 |
+
|
| 318 |
+
| Version | Release | Changes |
|
| 319 |
+
|---------|---------|---------|
|
| 320 |
+
| **v3.1** | Dec 2024 | Fresh genesis, improved P2P, multi-peer consensus |
|
| 321 |
+
| v3.0 | Nov 2024 | Institutional-grade: 54+ fields, hardware context |
|
| 322 |
+
| v2.0 | Oct 2024 | Added timing metrics, energy estimates |
|
| 323 |
+
| v1.0 | Sep 2024 | Initial release: basic problem/solution data |
|
| 324 |
+
|
| 325 |
+
---
|
| 326 |
+
|
| 327 |
+
## ๐ Update Frequency
|
| 328 |
+
|
| 329 |
+
This dataset receives **real-time updates** approximately every 10 blocks (~10 seconds of blockchain time). New JSONL files are appended as blocks are mined on the COINjecture Network B.
|
| 330 |
+
|
| 331 |
+
### Data Pipeline Architecture
|
| 332 |
+
|
| 333 |
+
```
|
| 334 |
+
โโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโ
|
| 335 |
+
โ โ๏ธ CONSENSUS LAYER โ
|
| 336 |
+
โ โ
|
| 337 |
+
โ ๐ฑ Genesis (Block 0) โโโ Hash: 4a80254b4a48e867... โ
|
| 338 |
+
โ โ โ
|
| 339 |
+
โ โโโโโโโผโโโโโโ โ
|
| 340 |
+
โ โผ โผ โผ โ
|
| 341 |
+
โ ๐งฎSAT ๐Sum ๐บ๏ธTSP โ
|
| 342 |
+
โ โ โ โ โ
|
| 343 |
+
โ โโโโโโโดโโโโโโ โ
|
| 344 |
+
โ โ โ
|
| 345 |
+
โ โผ โ
|
| 346 |
+
โ Multi-Peer Consensus (51% threshold) โ
|
| 347 |
+
โโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโ
|
| 348 |
+
โ
|
| 349 |
+
โผ
|
| 350 |
+
โโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโ
|
| 351 |
+
โ ๐ P2P NETWORK โ
|
| 352 |
+
โ โ
|
| 353 |
+
โ ๐ก Droplet 1 โโโโโโบ ๐ก Droplet 2 โโโโโโบ ๐ก GCE Node โ
|
| 354 |
+
โ โ โ โ โ
|
| 355 |
+
โ โโโโโโโโโโโโโโโโโโโโโดโโโโโโโโโโโโโโโโโโโโ โ
|
| 356 |
+
โ โ โ
|
| 357 |
+
โ ๐ฌ Gossipsub Mesh โ
|
| 358 |
+
โ (Status + Blocks + Txns) โ
|
| 359 |
+
โโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโ
|
| 360 |
+
โ
|
| 361 |
+
โผ
|
| 362 |
+
โโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโ
|
| 363 |
+
โ ๐ METRICS ENGINE โ
|
| 364 |
+
โ โ
|
| 365 |
+
โ โฑ๏ธTiming ๐พMemory ๐ฅ๏ธHardware ๐Network ๐ฐEconomics โ
|
| 366 |
+
โ โ โ โ โ โ โ
|
| 367 |
+
โ โโโโโโโโโโโดโโโโโโโโโโโดโโโโโโโโโโโดโโโโโโโโโโโโ โ
|
| 368 |
+
โ โ โ
|
| 369 |
+
โ 54+ metrics/block โ
|
| 370 |
+
โโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโ
|
| 371 |
+
โ
|
| 372 |
+
โผ
|
| 373 |
+
โโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโ
|
| 374 |
+
โ ๐ฏ DATA OUTPUT โ
|
| 375 |
+
โ โ
|
| 376 |
+
โ ๐ฆ Buffer (10 blocks) โ
|
| 377 |
+
โ โ โ
|
| 378 |
+
โ every ~10 seconds โ
|
| 379 |
+
โ โ โ
|
| 380 |
+
โ โผ โ
|
| 381 |
+
โ ๐ค HuggingFace NP_Solutions_v3 โ
|
| 382 |
+
โ โ โ
|
| 383 |
+
โ โผ โ
|
| 384 |
+
โ ๐ Datasets API โ
|
| 385 |
+
โโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโ
|
| 386 |
+
```
|
| 387 |
+
|
| 388 |
+
---
|
| 389 |
+
|
| 390 |
+
## ๐ Citation
|
| 391 |
+
|
| 392 |
+
If you use this dataset in your research, please cite:
|
| 393 |
+
|
| 394 |
+
```bibtex
|
| 395 |
+
@dataset{coinjecture_np_solutions_v3,
|
| 396 |
+
title={COINjecture NP Solutions Dataset v3},
|
| 397 |
+
author={{COINjecture Network Contributors}},
|
| 398 |
+
year={2024},
|
| 399 |
+
publisher={Hugging Face},
|
| 400 |
+
url={https://huggingface.co/datasets/COINjecture/NP_Solutions_v3},
|
| 401 |
+
note={Institutional-grade blockchain research data from Proof-of-Useful-Work consensus}
|
| 402 |
+
}
|
| 403 |
+
```
|
| 404 |
+
|
| 405 |
+
---
|
| 406 |
+
|
| 407 |
+
## ๐ License
|
| 408 |
+
|
| 409 |
+
This dataset is released under the **MIT License**. You are free to use, modify, and distribute this data for any purpose, including commercial applications.
|
| 410 |
+
|
| 411 |
+
---
|
| 412 |
+
|
| 413 |
+
## ๐ Related Resources
|
| 414 |
+
|
| 415 |
+
| Resource | Link |
|
| 416 |
+
|----------|------|
|
| 417 |
+
| **Previous Dataset (v2)** | [COINjecture/NP_Solutions_v2](https://huggingface.co/datasets/COINjecture/NP_Solutions_v2) |
|
| 418 |
+
| **Legacy Dataset** | [COINjecture/NP_Solutions](https://huggingface.co/datasets/COINjecture/NP_Solutions) |
|
| 419 |
+
| **Source Code** | [GitHub](https://github.com/beanapologist/COINjecture-NetB-Updates) |
|
| 420 |
+
| **Whitepaper** | [COINjecture.com](https://coinjecture.com) |
|
| 421 |
+
| **Network Explorer** | Coming Soon |
|
| 422 |
+
|
| 423 |
+
---
|
| 424 |
+
|
| 425 |
+
## ๐ค Contributing
|
| 426 |
+
|
| 427 |
+
We welcome contributions to improve data quality and documentation. Please open an issue or pull request on our GitHub repository.
|
| 428 |
+
|
| 429 |
+
---
|
| 430 |
+
|
| 431 |
+
**Built with ๐ by the COINjecture Network**
|
| 432 |
+
|
| 433 |
+
*Transforming computational waste into useful work*
|
| 434 |
+
|
| 435 |
+
*ฮท = ฮป = 1/โ2*
|
| 436 |
+
|