Oh Marakanetz. I'm not sure I can help. Believe it or not, I have several oscilloscopes. I also have impedance analyzers, spectrum analyzers and electronic loads. I work in a state-of-the-art electronics laboratory. The reason I said what I did is because I realize these measurement devices are so we can observe simplifications of the real thing. I know it all too well.
To think that a human can build something that would have the capability of human hearing is an ego trip that no one should succumb to. In my opinion. The day measurements can beat the human brain, our demise, and our goal, will have been reached.
1kW of power from a tube as you imagine it, has no physical foundations. Heat generation alone would preclude that possibility. I was talking about what are called "time scales." We have many scales, as much in engineering as in philosophy, ultimately, but all of them fall short of truly representing what we can witness because time effects extend ad infinitum in both directions and thus there is no end to splitting them up into comprehensible slices. Algebraic formulas and measurements occupy only a small part, but calculus covers them all. This was the point Joe so succinctly and eloquently outlined above. One of the tools available to see the remaining parts is called "frequency domain analysis;" the repercussions of which are called "harmonics," which also extend ad infinitum. There is no end to the formulas in the frequency domain. The day I realized all this was mentally liberating.
Classical formulas exist so that we can comprehend what is going on. This is done by throwing out all variables that we deem "unnescessary" because we would otherwise be overwhelmed. The Taylor Series Expansion in calculus points it out very clearly. But are those variables we throw out truly unnecessary? Would they exist if they weren't? Of course not. That is the crux between art and science.
You are free to believe as you like. If your definition of power has no total derivative, then you win. Otherwise, consider power as subject to time scales and you will know what I am talking about. If you would like to understand the mechanisms I speak of in lots more detail, I very-highly recommend Papoulis' book, aptly called "Signal Analysis."
Arthur
To think that a human can build something that would have the capability of human hearing is an ego trip that no one should succumb to. In my opinion. The day measurements can beat the human brain, our demise, and our goal, will have been reached.
1kW of power from a tube as you imagine it, has no physical foundations. Heat generation alone would preclude that possibility. I was talking about what are called "time scales." We have many scales, as much in engineering as in philosophy, ultimately, but all of them fall short of truly representing what we can witness because time effects extend ad infinitum in both directions and thus there is no end to splitting them up into comprehensible slices. Algebraic formulas and measurements occupy only a small part, but calculus covers them all. This was the point Joe so succinctly and eloquently outlined above. One of the tools available to see the remaining parts is called "frequency domain analysis;" the repercussions of which are called "harmonics," which also extend ad infinitum. There is no end to the formulas in the frequency domain. The day I realized all this was mentally liberating.
Classical formulas exist so that we can comprehend what is going on. This is done by throwing out all variables that we deem "unnescessary" because we would otherwise be overwhelmed. The Taylor Series Expansion in calculus points it out very clearly. But are those variables we throw out truly unnecessary? Would they exist if they weren't? Of course not. That is the crux between art and science.
You are free to believe as you like. If your definition of power has no total derivative, then you win. Otherwise, consider power as subject to time scales and you will know what I am talking about. If you would like to understand the mechanisms I speak of in lots more detail, I very-highly recommend Papoulis' book, aptly called "Signal Analysis."
Arthur