In general Machining refers to cutting operations, either macro- ones like shaping, sawing, milling, drilling, and such; or micro- scale such as grinding.
Things such as laser cutting or EDM are interesting as they can result in net shape results but in some metals there is a thin layer of surface damage that must be addressed.
There are other finishing operations that are not machining but do modify the material, things such as etching, peening, polishing (mechanical and electro-).
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P.E. Metallurgy, consulting work welcomed