In the blockchain, bitcoins are registered to bitcoin addresses. Creating a bitcoin address requires nothing more than picking a random valid private key and computing the corresponding bitcoin address. This computation can be done in a split second. But the reverse, computing the private key of a given bitcoin address, is mathematically unfeasible. Users can tell others or make public a bitcoin address without compromising its corresponding private key. Moreover, the number of valid private keys is so vast that it is extremely unlikely someone will compute a key-pair that is already in use and has funds. The vast number of valid private keys makes it unfeasible that brute force could be used to compromise a private key. To be able to spend their bitcoins, the owner must know the corresponding private key and digitally sign the transaction. The network verifies the signature using the public key; the private key is never revealed.[7]:ch. 5
The “requesting a transaction” means you want to transfers some coins (let’s say bitcoin) to someone else. When you make the request the request is broadcasted to all the nodes. Then the nodes verify that (from all the history of transactions) you are not double spending your coins. When verified successfully the transaction is added in a block which is then mined by a miner. When the block is mined, your transaction is confirmed and the coins are transfered.
To understand the revolutionary impact of cryptocurrencies you need to consider both properties. Bitcoin as a permissionless, irreversible, and pseudonymous means of payment is an attack on the control of banks and governments over the monetary transactions of their citizens. You can‘t hinder someone to use Bitcoin, you can‘t prohibit someone to accept a payment, you can‘t undo a transaction.
IE… I have 50 ETH , and want to buy a ‘widget’ for 25 ETH given a particular set of circumstances (it works, or the temperature is >10c tomorrow). I agree with a seller on the conditions of a contract, and we ‘create’ a contract on an Ethereum platform, with appropriate sign-offs and verification. This could be 2 steps, or it could be 1000 steps. Once established in the ‘smart contract’, if it is indeed >10c tomorrow, the contract automatically shifts 25 ETH to your account and ships me my widget. The results are recorded in the blockchain.
In the end, the majority of the Ethereum community voted to perform a hard fork, and retrieve The DAO investors money. But not everyone agreed with this course of action. This resulted in a split where two parallel blockchains now exist. For those members who strongly disagree with any changes to the blockchain even when hacking occurs there is Ethereum classic. For the majority who agreed to rewrite a small part of the blockchain and return the stolen money to their owners, there is Ethereum.  
If you decide to invest in cryptocurrencies, Bitcoin is obviously still the dominant one. However, in 2017 its share in the crypto-market has quite dramatically fallen from 90 percent to just 40 percent. There are many options currently available, with some coins being privacy-focused, others being less open and decentralized than Bitcoin and some just outright copying it.

1. The blockchain is a ledger that keeps track of how much ‘stuff’ (ie BTC, ETH,…create your own currency if you wish) you have. Its the history of transactions. ‘Ethereum’ provides a platform for building contracts…if a contract’s conditions are met, then a transaction (whose rules and automation are agreed ahead of time) automatically occurs and the result of that transaction becomes a part of the ledger. Anyone will be able to see that an address (sellers’ public key) has given ‘stuff’ to another address (purchasers’ public key).
Mostly due to its revolutionary properties cryptocurrencies have become a success their inventor, Satoshi Nakamoto, didn‘t dare to dream of it. While every other attempt to create a digital cash system didn‘t attract a critical mass of users, Bitcoin had something that provoked enthusiasm and fascination. Sometimes it feels more like religion than technology.
The market of cryptocurrencies is fast and wild. Nearly every day new cryptocurrencies emerge, old die, early adopters get wealthy and investors lose money. Every cryptocurrency comes with a promise, mostly a big story to turn the world around. Few survive the first months, and most are pumped and dumped by speculators and live on as zombie coins until the last bagholder loses hope ever to see a return on his investment.
1) Irreversible: After confirmation, a transaction can‘t be reversed. By nobody. And nobody means nobody. Not you, not your bank, not the president of the United States, not Satoshi, not your miner. Nobody. If you send money, you send it. Period. No one can help you, if you sent your funds to a scammer or if a hacker stole them from your computer. There is no safety net.
EthereumPrice.org was developed by Ether0x in March 2016 to allow users to easily track the price of Ethereum both historically and in real-time. The platform has since evolved to include several fiat currencies (EUR, GBP, JPY and others) as well as price data for a number of Ethereum ERC20 tokens and other blockchain currencies. More recently, prediction data from Augur was also added to provide insight into the future price expectations of the Ether market. Price data is currently sourced from multiple exchanges with the weighted average price of these assets being calculated by CryptoCompare.com. For more details on the weighted average calculation, see our FAQ.
In March 2013 the blockchain temporarily split into two independent chains with different rules due to a bug in version 0.8 of the bitcoin software. The two blockchains operated simultaneously for six hours, each with its own version of the transaction history from the moment of the split. Normal operation was restored when the majority of the network downgraded to version 0.7 of the bitcoin software, selecting the backward compatible version of the blockchain. As a result, this blockchain became the longest chain and could be accepted by all participants, regardless of their bitcoin software version.[42] During the split, the Mt. Gox exchange briefly halted bitcoin deposits and the price dropped by 23% to $37[42][43] before recovering to previous level of approximately $48 in the following hours.[44] The US Financial Crimes Enforcement Network (FinCEN) established regulatory guidelines for "decentralized virtual currencies" such as bitcoin, classifying American bitcoin miners who sell their generated bitcoins as Money Service Businesses (MSBs), that are subject to registration or other legal obligations.[45][46][47] In April, exchanges BitInstant and Mt. Gox experienced processing delays due to insufficient capacity[48] resulting in the bitcoin price dropping from $266 to $76 before returning to $160 within six hours.[49] The bitcoin price rose to $259 on 10 April, but then crashed by 83% to $45 over the next three days.[40] On 15 May 2013, US authorities seized accounts associated with Mt. Gox after discovering it had not registered as a money transmitter with FinCEN in the US.[50][51] On 23 June 2013, the US Drug Enforcement Administration listed ₿11.02 as a seized asset in a United States Department of Justice seizure notice pursuant to 21 U.S.C. § 881.[52][better source needed] This marked the first time a government agency had seized bitcoin.[53] The FBI seized about ₿30,000[54] in October 2013 from the dark web website Silk Road during the arrest of Ross William Ulbricht.[55][56][57] These bitcoins were sold at blind auction by the United States Marshals Service to venture capital investor Tim Draper.[54] Bitcoin's price rose to $755 on 19 November and crashed by 50% to $378 the same day. On 30 November 2013 the price reached $1,163 before starting a long-term crash, declining by 87% to $152 in January 2015.[40] On 5 December 2013, the People's Bank of China prohibited Chinese financial institutions from using bitcoins.[58] After the announcement, the value of bitcoins dropped,[59] and Baidu no longer accepted bitcoins for certain services.[60] Buying real-world goods with any virtual currency had been illegal in China since at least 2009.[61]
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