Most digital images intended for viewing are generally assumed to be in sRGB colour space, which is gamma-encoded. This means that a linear increase of value in colour space does not correspond to a linear increase in actual physical light intensity, instead following more of a curve. If we want to mathematically operate on colour values in a physically accurate way, we must first convert them to linear space by applying gamma decompression. After processing, gamma compression should be reapplied before display. The following C code demonstrates how to do so following the sRGB standard:
I wanted to test this claim with SAT problems. Why SAT? Because solving SAT problems require applying very few rules consistently. The principle stays the same even if you have millions of variables or just a couple. So if you know how to reason properly any SAT instances is solvable given enough time. Also, it's easy to generate completely random SAT problems that make it less likely for LLM to solve the problem based on pure pattern recognition. Therefore, I think it is a good problem type to test whether LLMs can generalize basic rules beyond their training data.
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