studiot

I didn't see an answer to my very simple question. Is your machine silent ?

Pity you didn't answer my question so here is another one now that you have post 1/4 of a description. It is ironic that this claim involves, at least in part, Joule's original lead shot experiment with energy. Anyway Is your machine totally silent ? Nothing falls without making some noise and, as Joule found out, without generating some heat.

Difficult decision whether to post this in Phi's thread or swansont's thread.

If you can't be bothered to read the site rules here about posting before you post anything here then why should I be bothered to read anything you post here or anywhere else ?

First what does this mathematical nonsense have to do with Classical Physics ? Mathematically the issue of a next number depends upon which number system you are referring to. Also the Axiom of Choice guarantees a well ordering of most number systems. What you are trying to explore is that numbers in some numbers systems have no nearest neighbour. To study this you need to look at neighberhoods, completeness and density from a mathematical set point of view.

I don't think you quite mean this so perhaps youd like to elaborate a bit about what you really mean.

Intriguing comment. +1 It is not conventional, but I suppose since one way to generate the natural number system is from 'nothing' , that is the empty set, a case could be made for this. However the empty set is not the number zero and any placement of zero in a number system causes controversy as it fits some applications of that number system but not others.

Thanks for that folks. I'm not sure about theatrical Toksvig, but I appreciate the answers. I think they are consistent with my understanding that it is about the direction of observation and best explained to someone who has at least the most basic Tech Drawing.

It is often stated that plane mirrors invert left to right but not top to bottom. It is given as the reason why the word AMBULANCE is often written on the front in 'mirror writing'. Yet if you are followed by that same ambulance and it indicated to turn right or left you do not see the indicators switched. So if the ambulance indicated left behind you you see the left hand indicator flash in your mirror. If anyone has a clear predictive explanation of images in plane mirrors I would be grateful for them to post it.

I think a point to consider is What happens when everyone along the Rhine wans to do this ? I have a doctor friend who lives along the Rhine and already has a private deep bore water source heatpump.

Taking regard of the above points I would perhaps reconsider my comments since whilst I agree that many, if not most, measurements are made with reference to a standard, not all measurements are actually numeric. And even when the output is a 'number' it maynot be a cardinal or ordinal but a number used as a label. The Richter scale, the Beaufort scale the Mohr scale, the Atterberg scale. Lustre, Sheen come to mind. So regarding measurements as injections is perhaps a bit over the top and certainly specefication of the set from which the numbers are drawn.

Meet the biggest heat pumps in the world BBC NewsThe giant heat pumps designed to warm whole districtsAcross Europe huge heat pumps are being installed that can heat tens of thousands of homes. abstract 16 December 2025, 00:06 GMT The pipe that will supply the heat pump, drawing water from the River Rhine in Germany, is so big that you could walk through it, fully upright, I'm told. "We plan to take 10,000 litres per second," says Felix Hack, project manager at MVV Environment, an energy company, as he describes the 2m diameter pipes that will suck up river water in Mannheim, and then return it once heat from the water has been harvested. In October, parent firm MVV Energie announced its plan to build what could be the most powerful heat pump modules ever. Two units, each with a capacity of 82.5 megawatts.

Yes complete is perhaps more basic that continuous, though both rely on limits and convergence for their definition. But I'm am not sure what led you to think I regard any of these as a ratio ?

Let's look at another example. Imagine you went down to a pebble beach where you would find lots of rounded stones of similar sizes. Obviously there is no correct or standard size for such pebbles - they are what they are. So you collect a larger number of pebbles and measure their size (perhaps by the length of the maximum dimension). If you record this length as a series of short intervals say 5mm - 6mm / 6mm - 7mm / 7mm - 8mm and so on and count the number of pebbles in your smaple that fall into each length interval you will find they plot out as swansont's bell curve. This has a natural peak at the average size of the pebbles and tails off for smaller or larger sizes. On British beaches the average size is likely to be around 50mm with most pebbles in the size range 30 - 70mm. But remember that an average of 1mm and 99mm is also 50mm. This variation is called natural variation and the difference between the size of a single pebble and this average is valled the deviation. But no error has been made as this is an observation of a natural process with no design intent behind the average. Now imagine a second experiment where you go to a brickworks producing standard 9 inch bricks. If you take a load of these bricks and measure the actual length of each brick you will find exactly the same curve with (hopefully the average being 9 inches). But many of the bricks will actually a few 32seconds (of an inch) longer or shorter than this and so 'in error'. This clustering of results around an average is called 'central tendency' and much can be deduced from the way the curve actually presents itself.

It is important to distinguish between errors and variations. Errors imply mistakes, variations do not. For example a potter throws 20 pots for sale. They will all be different but there may be no mistakes and they may all be saleable. So no errors have been made but there have been 'natural' deviations. Note swansont used the word deviations which has yet another meaning in this context.