I am not a layer (IANAL), but here is what Gemini 3 Pro says: "You generally do not need to use the trademark symbol for CUDA in a blog post, unless you have a specific commercial relationship with NVIDIA."

Now direct from actual sources... From [1]

> Intended users of this Brand Guideline are members of the NVIDIA Partner Network (NPN), including original equipment manufacturers (OEMs), solution advisors, cloud partners, solution providers, distributors, solutions integrators, and service delivery partners.

From [2]:

> Always include the correct trademark (™ vs ®) by referring to the content documents provided or using the list of common NVIDIA products and technologies. After the first mention of the NVIDIA product or technology, which includes the appropriate trademarks, the trademark does not need to be included in future mentions within the same document, article, etc.

> CUDA®

[1]: https://brand.nvidia.com/d/wGtgoY2mtYYM/nvidia-partner-netwo...

[2]: https://brand.nvidia.com/d/wGtgoY2mtYYM/nvidia-partner-netwo...