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Computing power is often bundled together or "pooled" to reduce variance in miner income. Individual mining rigs often have to wait for long periods to confirm a block of transactions and receive payment. In a pool, all participating miners get paid every time a participating server solves a block. This payment depends on the amount of work an individual miner contributed to help find that block.[82]
Although it is possible to handle bitcoins individually, it would be unwieldy to require a separate transaction for every bitcoin in a transaction. Transactions are therefore allowed to contain multiple inputs and outputs, allowing bitcoins to be split and combined. Common transactions will have either a single input from a larger previous transaction or multiple inputs combining smaller amounts, and one or two outputs: one for the payment, and one returning the change, if any, to the sender. Any difference between the total input and output amounts of a transaction goes to miners as a transaction fee.[2]
Satoshi Nakamoto is credited with designing Bitcoin. Nakamoto claims to be a man living in Japan born on April 5th, 1975 but there are speculations that he is actually either an individual programmer or group of programmers with a penchant for computer science and cryptography scattered around the United States or Europe. Nakamoto is believed to have created the first blockchain database and have been the first to solve the double spending problem other digital currency failed to. While Bitcoin’s creator is shrouded in mystery, his Wizard of Oz status hasn’t stopped the digital currency from becoming increasingly popular with individuals, businesses, and even governments.
How hard are the puzzles involved in mining? Well, that depends on how much effort is being put into mining across the network. The difficulty of the mining can be adjusted, and is adjusted by the protocol every 2016 blocks, or roughly every 2 weeks. The difficulty adjusts itself with the aim of keeping the rate of block discovery constant. Thus if more computational power is employed in mining, then the difficulty will adjust upwards to make mining harder.  And if computational power is taken off of the network, the opposite happens. The difficulty adjusts downward to make mining easier.
Bitcoin Core is the “official” Bitcoin client and wallet, though isn’t used by many due to slow speeds and a lack of features. Bitcoin Core, however, is a full node, meaning it helps verify and transmit other Bitcoin transactions across the network and stores a copy of the entire blockchain. This offers better privacy since Core doesn’t have to rely on data from external servers or other peers on the network. Bitcoin Core routed through Tor is considered one of the best ways to use Bitcoin privately.
According to the European Central Bank, the decentralization of money offered by bitcoin has its theoretical roots in the Austrian school of economics, especially with Friedrich von Hayek in his book Denationalisation of Money: The Argument Refined,[120] in which he advocates a complete free market in the production, distribution and management of money to end the monopoly of central banks.[121]:22
Network nodes can validate transactions, add them to their copy of the ledger, and then broadcast these ledger additions to other nodes. To achieve independent verification of the chain of ownership each network node stores its own copy of the blockchain.[65] About every 10 minutes, a new group of accepted transactions, called a block, is created, added to the blockchain, and quickly published to all nodes, without requiring central oversight. This allows bitcoin software to determine when a particular bitcoin was spent, which is needed to prevent double-spending. A conventional ledger records the transfers of actual bills or promissory notes that exist apart from it, but the blockchain is the only place that bitcoins can be said to exist in the form of unspent outputs of transactions.[3]:ch. 5