You still have not answered my rebuttal to your claim "POW mining is equivalent to paying the utility companies for electricity". It is you who drew your gun first and fired wide. Now I get to shoot. You Americans should understand this.

Edit 1: One does not need a mathematical proof or a white paper for something that should be obvious: Such as In many cases it makes economic sense to run an electric space heater when it is -40 C or F outside.

Edit 2: Maybe you slipped on the ice.