. Bitcoin hit yet another record high on Friday, reaching a market capitalization of $1 trillion, blithely shrugging off analyst warnings that it is an "economic side show" and a poor hedge against a fall in stock prices.
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However, in between these two statements, a claim is made that they are equivalent. I am unable to see how these two theorems mean the same thing. And this is where I am having trouble. Any help clarifying why these two are equivalent would be greatly appreciated.
Using cylindrical coordinates \begin C = \left\ ,\\ H = \left\ . (The fact that $\eta$ is one to one is obvious). \end So i suspect that the mapping \begin \eta: \left(\sqrt\cos(\varphi),\sqrt\sin(\varphi),z\right) \to \left(\cos(\varphi),\sin(\varphi),z\right) \end is a homeomorphism (moreover a diffeomorphism?) of C and bitcoin H, however I don’t quite understand how to show that it is a homeomorphysm by definition. Is it enough to show that $\eta$ and $\eta^$ are continuous componentwise? Matthew Willow Asks: Homeomorphism between cylinder and one-sheeted hyperboloid Let $C = \left\ $ be a infinite cone, $H = \left\ $ one sheeted hyperboloid.
Bitcoin works just like any other currency: you go to a place that accepts bitcoin, pay for your service or product and walk away with it. The difference is it uses blockchain technology to verify transactions to ensure they’re authentic and secure.
Or, worse yet, stealing the code and basically creating as much as they want, turning your hard work into so many more worthless bits and bytes? Bitcoin’s greatest success was solving one very important riddle: what prevents cybercriminals from accessing your database and making off with your currency?
To make sure this is nearly impossible to do, the bitcoin blockchain uses a feature that the bitcoin technical paper calls "proof of work." This essentially forces your computer to run a large number of difficult computations (which takes quite some time) to make a change to a single block.
The government set plans in motion last year to remove gasoline subsidies that cost billions of dollars annually, but those have become untenable as crude prices have risen, he said. Significant local refining capacity that will come online this year and next should help limit shocks stemming from price increases and changes in the exchange rate.
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Generating more tax revenue is "challenging", btc he said, and the government must find ways to draw the roughly 80% of the population who work in the informal economy into the net. Nigeria’s 6% tax-to-GDP ratio is among the world’s lowest.
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The former army general’s glowing self-assessment contrasts starkly with that of critics, who point to a struggling economy, spiraling state debt and rampant unemployment. Gross domestic product has contracted in two of the past seven years and cryptocurrency is now about 10% smaller in dollar terms than when he took office in 2015, International Monetary Fund data show.