I had a look at the page on closure, and while it is accurate on that topic this site is a bit loose still. Their claims on the uniquely behaved real numbers have no discrepancy whatsoever with the rational numbers. This site supports my gape hypothesis; as embarassing as that may to real analysts.
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> what we are Also missing here, in this ascii world, is the vinculum Symbol
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> that line over the last repeating decimals
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> 0.9 = 0.9999999999999999999999999...
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> 0.991 = .991991991991991991991...
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> .94873882 = 94873882828282828282828282...
It's absolutely terrible that google does not allow a fixed width font here.
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https://en.wikipedia.org/wiki/Vinculum_(symbol)
I was going to try opening a thread on this too, but poofed it down on Amine's where it does not really belong. Of course half of what I say doesn't even belong here either, yet I do have such freedom as I understand it and the transmission of such helps to guarantee that we are not on a censored medium here. Words as fodder: in a cuntry that develops lies through the MSM sourced out of the deep state I can only imagine how many journalists have been gagged, kicked, payed off, and told to have an all expenses paid vacation. As Jimmy Dore says: Why don't they offer that to me? I'll take it! May the new cold war rage on forever in the heads of capitalist pigs!
Falsification of Ellipsis Usage in mathematics.
And by this I mean to go on forever.
Shall we legitimate this statement?
Forever? Can we guarantee it?
Can we use it where we like...
As if to say that something unsaid was said that
wasn't actually said because the inconvenience of
what was said can be said while the representative
of the statement cannot be said?
To what degree mathematics is representation can we
then square the meaning of representation so that there
is a hierarchy, or ought all to come down to first principles flatly?
When one relies upon an unexpressible representative one ought
to own that the strength of ones argument has dropped;
as if to say:
You Know What I Mean
But I Cannot Say It
Is this the ultimate arithmetic tabboo here?
When we have solved a problem has it condensed itself down to convenient parts?
We are near now to Plancke's constant and the trouble between the rational representation
and the supposed existence of perfect values in between them.
Ad nauseum we can go on and refine the rational value and so all of real analysis goes kapoof.
Who goes there? I was never trained to. I am however landing there in this moment.
What happens to Plancke's constant? Would it be enough to explain that beneath that level that was arrived at that another level exists down deeper? Is this like the supposed area of carbon in a unit volume?
Is this a constant? Or does it depend upon your selection of unit?
To what degree is the unit of the area forced to be the unit of the volume?
Especially such a nonflat problem as a carbon lattice has possibly dipped down beneath a critical boundary.
We'd like to store hydrogen and we witness a puzzle of diffusion and high pressures that are troubling. It is found that substrates magically contain the hydrogen within their surface structures so as to be less porous. The HH bond is likely being bent a bit so that we can have our hydrate and eat it too.
At least burn it through a PEM as the modern advanced source of electricity.
You can't just get hydrogen in a can. It has to be in a very special can.
You can't just get it at an efficient performing spec yet either. It has to be the last runoff of an energy system. It is where the excess energy can go; into hydrogen production which is less efficient even than the lead acid battery cycle if the 85% figure is truthful. I'm seeing some abysmal batteries actually. Can't say I've actually done the math fully either. Lithium cells are answering all that now with simple charge algorithms and higher efficiency. Is it so difficult to predict that in that roll-up Hydrogen is stored somehow? Rather that it will be one day? Then the cells will be on the top of the vehicle rather than on the bottom. The top plate will become the structure of the car and we will all be driving around like the Flintstones again. I'm sure I'm off a bit here, but this is where my mind runs to. After all: we are in a pre-Hitlerian society here in the U.$.A. Only just a couple of hundred years ago. Going on to this day. No reparations and all of Central and South America to go still. Somehow they resist. Somehow. How is it that Canada does attempt a reversal; Australia too; but the U.$.A. ? Never! No wonder we side with the Jews... how's that?
I do repeatedly find that the rational value is good enough. It is quite exact and easy to express and if you want better you can have it. I believe that this is known as having your cake and eating it too. So just what exactly was gained by the real analysis? Something about gaps or some such nonsense. Oh yes, they filled gaps and found operators that went outside of the fundamental operators to build gaps into their number system. And then, tra-la-la-la-la; the gaps are all filled in; every stinking one of them. You know with regions we can put your gaps in our gaps and call your real values gaped values!
You guys in real analysis are real gapers. You can't hold your shit can you. Your rosebud system goes right along with the Catholic church. Yeah we know you are out there. I'm only just learning about the Jesuits... Oh, real serious people they are... would information control be in their domain? Could information theory be infiltrated?
I say, really thought provoking stuff, Tim.