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Firstly, it sounds like you are asking for general definitions, rather than differential definitions, which is problematic when the definitions are differential and context specific.

Cache miss:

not in cache, must be loaded from the original source

Cache hit:

was loaded from cache (no implication of what "type" of cache was hit).

cold cache:

The slowest cache hit possible. The actual loading mechanism depends on the type of cache (CPU cache could refer to an L2 (or L3) hit, disk cache could refer to a RAM hit on the drive, web cache could refer to a drive cache hit)

hot cache:

The fastest cache hit possible. Depends on mechanism described (CPU could be L1 cache, disk could be OS cache hit, web cache could be RAM hit in cache device)

Warm cache:

Anything between, like L2 when L1 is hot and L3 is cold. It is a less precise term and often used to imply "hot" when the performance is closer to "cold."

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Q: What is the difference between cache vs cold cache vs hot cache vs warm cache vs cache hit vs cache miss?
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