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Superposition
Cecil Moore wrote:
Tom Donaly wrote: Division by zero is not infinity, Cecil, it's undefined. It's good to see you agree that there's no conservation of ______ (fill in the blank)density, any more than there's a law of the conservation of power. Have a good thanksgiving. Division by a quantity as it approaches zero is not always undefined, Tom. The limit, as the denominator approaches zero, is often the first infinity, aleph-null. The momentum in any volume of space must be conserved. The joules in the joules/sec must be conserved. Please don't try to hoodwink the uninitiated into believing otherwise. But you didn't write anything about "The limit, as the denominator approaches zero," Cecil. I just wrote that energy and momentum are conserved, but their rate of delivery certainly isn't. You're just arguing for the sake of hearing yourself argue, Cecil. As for Aleph-null, that's a mathematico-logical fantasy that was brought into existence by giving a name to a made-up abstraction, and then using a set of artificial, logical manipulations on the name as proof of its existence. It's a stunt Western philosophers have been using for centuries to confuse the gullible. I'm surprised an intelligent man of science, like you, fell for it, Cecil. 73, Tom Donaly, KA6RUH |
Superposition
Gene Fuller wrote:
I very carefully limited the scope of my comment to the situation involving the two waves that supposedly cancel within a "dx" distance. Anything else is purely in your imagination. Yes, and that is exactly what I am talking about. For your argument to be true, you must prove that the reflection from a physical impedance discontinuity never existed. So the question remains: Exactly how does the reflected wave from a physical impedance never exist, as you say? That wave is one of the two waves you are talking about above. Why does the reflected wave with 70.7v of incident voltage and a physical Rho=0.7143 never exist? What allows that reflected wave to violate the laws of physics? Here is the example again: 70.7v Rho=0.7143 source--50 ohm coax--+--1/2WL 300 ohm twinlead---50 ohm load Why did the reflection from the physical impedance discontinuity at '+' "never exist" according to you? Please stop refusing to answer that simple question. -- 73, Cecil http://www.w5dxp.com |
Superposition
Gene Fuller wrote:
It is interesting that the spear I chucked through the heart of your argument was met simply with a claim of "obfuscation". If that's the way you want to play, then enjoy. It is interesting to note that the ten spears you threw in the dark were all aimed at diverting the issue rather than answering one simple question. You say the reflected wave from a physical impedance discontinuity never existed - now prove that assertion. -- 73, Cecil http://www.w5dxp.com |
Superposition
Tom Donaly wrote:
But you didn't write anything about "The limit, as the denominator approaches zero," Cecil. I assumed that any reasonably rational person would understand what I was talking about. I apologize for misjudging you. As for Aleph-null, that's a mathematico-logical fantasy that was brought into existence by giving a name to a made-up abstraction, and then using a set of artificial, logical manipulations on the name as proof of its existence. It's a stunt Western philosophers have been using for centuries to confuse the gullible. I'm surprised an intelligent man of science, like you, fell for it, Cecil. Good grief, Tom. Aleph-null is the number of natural numbers, a very useful concept. I'm surprised you are ignorant of such. Incidentally, truth, love, and justice are all names given to made-up abstractions. Too bad you reject them. -- 73, Cecil http://www.w5dxp.com |
Superposition
Cecil Moore wrote:
Tom Donaly wrote: But you didn't write anything about "The limit, as the denominator approaches zero," Cecil. I assumed that any reasonably rational person would understand what I was talking about. I apologize for misjudging you. As for Aleph-null, that's a mathematico-logical fantasy that was brought into existence by giving a name to a made-up abstraction, and then using a set of artificial, logical manipulations on the name as proof of its existence. It's a stunt Western philosophers have been using for centuries to confuse the gullible. I'm surprised an intelligent man of science, like you, fell for it, Cecil. Good grief, Tom. Aleph-null is the number of natural numbers, a very useful concept. I'm surprised you are ignorant of such. Incidentally, truth, love, and justice are all names given to made-up abstractions. Too bad you reject them. The turkey meat must have been real dry at your place this Thanksgiving, Cecil. So dry, it dried up your reason. Better luck at Christmas. 73, Tom Donaly, KA6RUH |
Superposition
Tom Donaly wrote:
The turkey meat must have been real dry at your place this Thanksgiving, Cecil. So dry, it dried up your reason. Better luck at Christmas. The technical content of your posting is noted, Tom. I don't have a bone to pick with you so I wonder why you engage in such ad hominem attacks. -- 73, Cecil http://www.w5dxp.com |
Superposition
Cecil Moore wrote:
You say the reflected wave from a physical impedance discontinuity never existed - now prove that assertion. As usual no response to this simple challenge. People who assert that reflected waves never existed have never offered one iota of proof for that assertion. OTOH, one only need look in a mirror to see those reflections. -- 73, Cecil http://www.w5dxp.com |
Superposition
Cecil Moore wrote:
Cecil Moore wrote: You say the reflected wave from a physical impedance discontinuity never existed - now prove that assertion. As usual no response to this simple challenge. People who assert that reflected waves never existed have never offered one iota of proof for that assertion. OTOH, one only need look in a mirror to see those reflections. Cecil, We were talking about the equivalent of AR glass, with no reflections. Do you see yourself when you look into an AR mirror? That would explain a lot. 8-) 73, Gene W4SZ |
Superposition
Gene Fuller wrote:
We were talking about the equivalent of AR glass, with no reflections. Sorry Gene, there are reflections from AR glass because the index of refraction is in the ballpark of 1.2222. The non-existence of reflections from a 1.0 to 1.2 transition in the index of refraction is impossible. Do you see yourself when you look into an AR mirror? That would explain a lot. Of course, human eyes cannot respond in 1/2 of a cycle at light frequencies. If one had an instrument sensitive enough, one would see that exact reflection during the first 1/2 cycle. And it never goes away - it just gets canceled by a complimentary reflection from the "load". Maybe we need to slow it down to your brain speed. Would a two second delay in the beginning of the cancellation process work for you? SGCL is a Signal Generator equipped with a Circulator and Load resistor. The lines are lossless. t0 is when the source wave is first incident upon the impedance discontinuity at '+'. Rho=0.7143 100w SGCL--50 ohm line--+--1 sec long 300 ohm line--50 ohm load At t0+1 sec, a 51 watt reflection exists at point '+' and the forward power on the 300 ohm line is 49 watts. That 51 watt reflected wave exists for the two seconds it takes the reflected wave from the load to arrive. That 51 watt reflected wave is warming up the load resistor in the circulator during that time. You say that 51 watt reflection never existed. Good luck on being able to prove your assertion. -- 73, Cecil http://www.w5dxp.com |
Superposition
Cecil Moore wrote:
Gene Fuller wrote: We were talking about the equivalent of AR glass, with no reflections. Sorry Gene, there are reflections from AR glass because the index of refraction is in the ballpark of 1.2222. The non-existence of reflections from a 1.0 to 1.2 transition in the index of refraction is impossible. Do you see yourself when you look into an AR mirror? That would explain a lot. Of course, human eyes cannot respond in 1/2 of a cycle at light frequencies. If one had an instrument sensitive enough, one would see that exact reflection during the first 1/2 cycle. And it never goes away - it just gets canceled by a complimentary reflection from the "load". Maybe we need to slow it down to your brain speed. Would a two second delay in the beginning of the cancellation process work for you? SGCL is a Signal Generator equipped with a Circulator and Load resistor. The lines are lossless. t0 is when the source wave is first incident upon the impedance discontinuity at '+'. Rho=0.7143 100w SGCL--50 ohm line--+--1 sec long 300 ohm line--50 ohm load At t0+1 sec, a 51 watt reflection exists at point '+' and the forward power on the 300 ohm line is 49 watts. That 51 watt reflected wave exists for the two seconds it takes the reflected wave from the load to arrive. That 51 watt reflected wave is warming up the load resistor in the circulator during that time. You say that 51 watt reflection never existed. Good luck on being able to prove your assertion. Cecil, You are just toooo funny. You gas on about something that you believe happens in 1/2 cycle, and you want ME to prove something??? Going back to sleep. 73, Gene W4SZ |
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