John Cuthber

I'm guessing at a typo. https://en.wikipedia.org/wiki/Overtone And the idea of "concordance" or "consonance" is cultural, not mathematical.

The octaves are important- as Exchemist has explained. If two notes are in harmony then the octaves above them will also be in harmony. The division of the octave into 5, 8 or 12 (or more) is arbitrary and largely cultural. Having said that, there does seem to be something about the pentatonic scale that people all seem to "get".

OK, imagine I get some sort of electrical generator- perhaps a Wilmshurst machine, and I put it on an insulating slab like a thick sheet of polythene or something. And I set it running (let's say it has a battery drive motor, and a remote control- so I can do that without anything being connected to Earth). such that it charges the two spheres - one positive and the other negative with respect to eachother. And then imagine that I bring an earthed wire near to one of the spheres. What do you think will happen? Not very, and not for long. It is generally quite conductive. It doesn't need to be. Static sparks are typically thousands of volts. The capacitances involved are of the order of pico farads. So even a bad earth connection with a resistance of 10 ohms would allow a current of hundreds of amps to flow. And that would discharge teh capacitor in a period of the order of a nanosecond or less. But for that to happen, the current would need to start and stop within a nanosecond. And that, in turn would mean that the rate of change of current was very large-hundreds of gigamps per second. And that could only happen if the inductance of the circuit was small enough. But to drive a rate of change of current of 100 GA/S with a few KV you need an inductance of about 10 pico Henries or less. And even a few inches of wire has much more inductance than that. So the thing that limits the discharge in electrostatics is generally the inductance, rather than the resistance. So... why did you point out the the resistance isn't all that low?

No, they were protecting the dollar. That's what they always do. That's what makes this so funny.

And that is well within the range of typical static electricity. https://en.wikipedia.org/wiki/Static_electricity#Static_discharge You don't know much about this, do you? It isn't the charge that makes a difference, it is the voltage (though the two are related).

And then they go back to sea level and perform better- because the increased oxygen is good for them. As with many things, there is a balance, too much, or too little is a bad thing.

LOL https://en.wikipedia.org/wiki/George_Floyd_protests It went so well the last time they did that.

True but: It's next to the two earthed metal screws that hold the cover in place, and you can make sparks by putting your finger near them. |It's also relatively thin plastic and may well conduct at the high voltages involved. And, of course, it may be a metal switch or a metal cover.

By one convention, and by the other convention, both roots are considered as equally valid. For example, if you are solving a quadratic, you need to take account of both roots. https://en.wikipedia.org/wiki/Quadratic_equation

I don't think this is an imaginary numbers problem. If the square root of x is minus one, then x = 1 is a solution. Root (1) = -1

Then you will have no difficulty proving it.

What you are talking about is a map that shows the presence of a gene in roughly 90% of "some population" in parts of N America. Well, if the population of the USA is 14% African Americans, 10% Irish Americans and 5% Italian Americans (virtually none of whom would have the gene) then the population represented on that map is not the population of the USA, is it? So, what are you talking about? Do you even know? Your claim is the opposite of the map you have linked to. You are going to need to work very hard to convince us that you are worth listening to.

That's unrealistic, given how many are from, for example, Ireland ot Italy. It's even more absurd once you consider African Americans who form about 14% of the population. Are you able to explain this, or is your assertion simply incorrect? By which argument, most people in France, Germany < England and so on would be black. But they are not. And so we know that the argument is wrong.

What do you think the word "acidic" means?

Granite has not been looked for anywhere other than Earth. If there was granite on the moon, how would we know? No https://www.nationalgeographic.com/science/article/bizarre-planet-largest-known-rocky-world-40-times-as-massive-as-earth#:~:text=Bizarre new planet is largest,times as massive as Earth&text=The planet TOI-849b is,close to its host star.

Did you understand what was meant by

The more sensible way to look at that is that, since Mars is about 6,700 km in diameter, your idea is wrong.

Adding a layer of insulation to a vehicle isn't difficult; it's just that nobody thought about it before because they had plenty of heat available. Looking at the figures, the lowest power Ford Focus or WV Golf- a fairly typical car- delivers about twice as much heat as my new gas boiler uses to heat the whole house. We might end up with double glazed cars , which will be interesting.

It isn't me who provides the evidence that you are wrong. You have already done that.

The problem is that, thus far, you have refused to accept that you are wrong (on this forum and others), even though the evidence is clear. So it's fair to assume that you would never admit that you had lost. So, since you would never pay, why take the bet with you?

Actually I rarely ask for them- unless there is good grounds to suspect that the assertion is untrue, or, at least, speculative. Whereas the fact that the UK public schools are charities is well known and easily checked.

Vey easy to google https://register-of-charities.charitycommission.gov.uk/charity-search/-/charity-details/4010044/charity-overview

Well, for a start, it is factually correct, and documented as being so.

Doesn't stop it being true. The major error seems to be that they still think the Chinese are communists.

Why? Time does not make a vaccine better. You don't fatten a pig by weighing it.