Tell us what exactly are you trying to test that requires 10BTC and can not be done with something smaller like what the faucets pay? Maybe we can help you out better that way.

BTW here is a guide on how to use regtest https://bitcointalk.org/index.php?topic=5268794.0

It is due to competition that the payment rates in USD increased in my opinion. Those new ones advertising had to keep up with others to get the good posters otherwise they would have been left with spammers and had their campaign shut down like what happened to yobit.

Z is calculated based on the transaction itself (in simple terms it is a hash computed using the transaction data) not based on nonce or the private key.
But as far as the mathematics is concerned if you have the nonce (k), private key (d) and signature (r and s) then you should be able to compute z too. It's a simple matter of solving s = k⁻¹(z + rd) mod n with only one unknown variable.

That is not what reversing is though. Real reversing is when you only have c and want to compute both a and b otherwise you are just using modular arithmetic properties namely compatibility with translation.
In reality (such as hash digests) you don't have a or b.

There is no doubt about shady behavior of centralized exchanges where they sell fake coins to make profit but you can not claim that "most" of it is fake because suck fake sales can not be sustained. At some point the exchange runs out of coins to give users for withdrawals, specially during sideways market where majority of traders pull their coins out of exchanges.

Very interesting ups and downs in terms of payment in USD specially the drop that happened after 2018. The market seems to still lack standards with payments being all over the place and still being low considering how much ads normally cost specially when they get so many impressions.

Actually 1st world countries are among those with the most number of people in absolute poverty, specially these days in Europe that the economy is falling apart. For example I was reading the Guardian a couple of weeks ago where it stated that in the first 4 months of this year more than a million British families became homeless and have been sleeping on the streets.

The reason is being bombarded by advertisement.

When they create a new useless shitcoin they have to find a way to sell it to newbies. So they start bombarding them with a lot of fake information starting with creating imaginary problems such as "bitcoin is slow" then they pretend that their shitcoin is solving that imaginary problem "faster shitcoin", that way they encourage the newbie into buying that shitcoin thinking it has some innovation that could bring its price up from $0.0000001 to bitcoin price levels giving the newbie a lot of profit!

Eventually you see the community is filled with a lot of intermediate users who are still concerned with those fake problems.

This is basically the whole digital currency category and its subcategories in one place:

┌─────────────────────────────────────────────────────────────────────┐
│                         Digital Currency                            │
│┌──────────────────┐  ┌─────────────────────────────────────────────┐│
││Centralized/Legacy│  │                Cryptocurrency               ││
│╞══════════════════╡  ╞═════════════════════════════════════════════╡│
││PayPal            │  │┌─────────────┐┌────────────────────────────┐││
││VISA              │  ││Decentralized││         Centralized        │││
││Digital banking   │  │╞═════════════╡╞════════════════════════════╡││
│└──────────────────┘  ││┌───────────┐││┌─────────┬─────────┬──────┐│││
│                      │││  Currency ││││shitcoins│platforms│tokens││││
│                      ││╞═══════════╡││╞═════════╪═════════╪══════╡│││
│                      │││Bitcoin    ││││BCH      │ETH      │...   ││││
│                      │││Monero     ││││XRP      │Cardano  │      ││││
│                      ││└───────────┘│││DOGE     │         │      ││││
│                      │└─────────────┘│└─────────┴─────────┴──────┘│││
│                      │               └────────────────────────────┘││
│                      └─────────────────────────────────────────────┘│
└─────────────────────────────────────────────────────────────────────┘

Bingo.
It is a clear advertisement for that shitcoin which I'm sure they are currently bag holding otherwise there were many much bigger shitcoins available that they could have considered here instead of this weak small one to advertise in their tweet.
I would also argue that usage of altcoins in ATMs is not enough to warrant installing them in first place, considering higher fees and existing better options.

The statements we see on the internet are mostly random made by people who make them according to their hopes and dreams and the direction that bitcoin is going. For example the "When Lambo" statements always come out when price is on the rise and the examples you mentioned about "$13k, $10k, etc." come out when there is a drop and they wish for a bigger one. We had that when price was $3k too when people kept talking about $1k and below just because they wished for it!

Technically you can mine on your own, you can run your own full node and construct blocks that you are about to mine yourself. But that works best if you have a lot of hashrate so that you can find a block on regular basis instead of once a month for example.

But when you join a mining pool you will get paid for the work you perform regardless of whether you find the block yourself or another participant of the pool does.
It is also more convenient since you don't have to run your own full node but that also means you are giving up some control over what you mine.

When you broadcast a new transaction, it has to reside somewhere in temporary memory until it is included in a new block. That temporary memory is called memory pool or mempool for short.

Each full node has its own mempool that contains transactions that they verify themselves and prefer to hold.

Each miner, or rather the mining pool, selects transactions from its own memory pool that pay the highest fee and inserts them into a new block which they are about to mine. They do this until the block weight reaches the maximum allowed value of 4 MB.
Then they update the block header that consists of merkle root hash computed using the transactions in that block, previous block header hash, version, time and nonce. Then they start mining the block.

You can read more about it here: https://github.com/bitcoinbook/bitcoinbook/blob/develop/ch10.asciidoc

It is already too late to think about that. EU had the opportunity to not only find the replacement but construct the very much needed infrastructure to reduce their reliance on only one supplier of energy. They didn't go for it. Now the alternative sources aren't supplying EU with the energy they so crave.

It is not feasible. For starters almost all apartments don't have any place to burn firewood to heat it up and even if they did or alterations were made, there is not enough supply of firewood to meet even a small percentage of the demand.
Do you honestly think the 84 million Germans could warm themselves with firewood when temperature drops to -40 C?

All empires crumble eventually although not overnight, Soviet Union fell, British Empire fell, ... and the Western one has been on a downward spiral for some time now.
I dare say that this could be the end of Europe unless they start making decisions independently because as long as they continue obeying US orders and play that game the result is going to continue being US and Russia benefiting from the game while Europe's economy continues crashing.

I don't see Europeans or others that fall under the same Western bloc do anything about their dictatorships either. For example what did the French do over the past month about their dictator? Nothing. Dozens of people were murdered by the dictatorship to silence the protesters. What did Canadians, Americans, Australians, ... do about their dictatorships? Nothing. They all suppressed their people when they opposed the authoritarian regime's with an iron fist.

It's not just China, all the corrupt authoritarian regimes have been making similar statements. For example the American Mouthpiece such as Fox News have been spreading basically the same doomsday propaganda against bitcoin.

This looks like a very good sign to me because it proves that Bitcoin has been very successful that it has struck fear into all these dictatorships. We are in a new stage where they feel so threatened by it that they have to start attacking Bitcoin.

That's debatable but I think that would be off topic here.

As I said things are very complicated. These tiny countries at the southern part of Persian Gulf are artificial countries that were created by the Western bloc and their regimes are installed by the same powers so their very survival depends on their creators.
This is why we consider them US colonies and it is also why they have no choice but to remain in a cycle of selling oil <> buying useless US weapons. Unlike what you said, they aren't buying it for their "defense" the regimes are basically paying a high tax to ensure their existence.

Take the Patriot defense system. Each missile costs between 3 to 6 million dollar and they shoot dozens of them to bring down an aircraft worth a couple of grand and they can't do that. The aircraft comes and drops its bombs and goes back to its base while they waste tens of millions. Then they go ahead and buy more of it despite knowing how useless it is. Why? Simply because if they stop paying that "tax" the regime that was installed by US will be replaced by another one.

The Texas Energy Plant explosion is another disaster for Europe in series of events to put even more pressure on EU energy sector considering that 80% of this plant's LNG supply was going to EU and it was shut off and the production in the future due to damage is going to be significantly reduced.

We keep talking about gas and its price but I think we should also start talking about coal price since more EU countries are moving towards using coal instead!!! So far 3 of them (Germany, Austria, Netherlands) have started using coal. Others are also planning on using it soon.
Interestingly enough a considerable part of their coal is also imported from Russia!

Good job by these two but you can't really attribute it to "honor and conscience".
Just a comparison between Lithuania and Finland with most European countries like Germany shows that these two tiny countries have small population (2 and 5 million compared to 85 million) and don't have that many serious industries to need that much energy namely gas. They were also already working on importing energy from elsewhere before the war even began.

For example according to worldometers, Lithuania is ranked 116th in energy consumption while Germany is 7th. Or for example the amount of energy Lithuania imported from Russia is so small that it is negligible when compared to Germany.

Not an energy crisis, just the possibility of a sudden spike in electricity usage due to heat season.

The problem isn't the low electricity price ($0.0018 per KWH) but the fact that usage has been increasing a lot faster than the capacity increase was. No matter how many fossil fuel power plants, nuclear power plants, renewable energy plants (hydro/wind/sun), etc. were built over the past year it could not keep up with the consumption increase.

Since there is no trusted stats were ever released we can't know that for sure. But last year I did a calculation based on the amount of bitcoin that was mined in Iran and the taxes that were paid with it and I came up with a percentage around 10% of the total hashrate. I don't have the stats for this year though.
That also doesn't account for home miners that are mining bitcoin at home without any license or taxes. This is only for mining farms with a license that have to pay tax.