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Memory is the ability to recall facts and knowledge. It is a function of the brain. It's independent of recognition, learning, and skill, all of which may be retained when memory is missing.

There are two distinctly different types of memory, each of which is independent of the other:

Short term memory appears to be a function of the brain's electrochemistry. Long term memory appears to be a function of the brain's actual physical form. Recent research has indicated that during sleep, the brain undergoes the physical transformations that form long term memory.

Memory problems are an indication of several diseases and can also indicate brain damage. They fall into three general types:

Forgetfullness is a normal process and does not indicate any underlying neurological condition. Moreover, memory is imperfect and malleable. Experiments have shown that memories can be implanted into the mind.

Memory at Wikipedia