[main][Docs] Fix typos across documentation (#6728)

## Summary

Fix typos and improve grammar consistency across 50 documentation files.
 
### Changes include:
- Spelling corrections (e.g., "Facotory" → "Factory", "certainty" →
"determinism")
- Grammar improvements (e.g., "multi-thread" → "multi-threaded",
"re-routed" → "re-run")
- Punctuation fixes (semicolon consistency in filter parameters)
- Code style fixes (correct flag name `--num-prompts` instead of
`--num-prompt`)
- Capitalization consistency (e.g., "python" → "Python", "ascend" →
"Ascend")
- vLLM version: v0.15.0
- vLLM main:
9562912cea

---------

Signed-off-by: SlightwindSec <slightwindsec@gmail.com>

docs/source/user_guide/feature_guide/eplb_swift_balancer.md

@@ -16,17 +16,17 @@ Expert balancing for MoE models in LLM serving is essential for optimal performa
 
 ### Models
 
-DeepseekV3/V3.1/R1、Qwen3-MOE
+DeepSeekV3/V3.1/R1, Qwen3-MoE
 
 ### MOE QuantType
 
-W8A8-dynamic
+W8A8-Dynamic
 
 ## How to Use EPLB
 
 ### Dynamic EPLB
 
-We need to add environment variable `export DYNAMIC_EPLB="true"` to enable vllm eplb. Enable dynamic balancing with auto-tuned parameters. Adjust expert_heat_collection_interval and algorithm_execution_interval based on workload patterns.
+We need to add environment variable `export DYNAMIC_EPLB="true"` to enable vLLM EPLB. Enable dynamic balancing with auto-tuned parameters. Adjust expert_heat_collection_interval and algorithm_execution_interval based on workload patterns.
 
 ```shell
 vllm serve Qwen/Qwen3-235B-A22 \
@@ -87,7 +87,7 @@ vllm serve Qwen/Qwen3-235B-A22 \
 
 4. Monitoring & Validation:
    - Track metrics: expert_load_balance_ratio, ttft_p99, tpot_avg, and gpu_utilization.
-   - Use vllm monitor to detect imbalances during runtime.
+   - Use vLLM monitor to detect imbalances during runtime.
    - Always verify expert map JSON structure before loading (validate with jq or similar tools).
 
 5. Startup Behavior: