Bitcoin's price is also quite dependent on the size of its mining network, since the larger the network is, the more difficult – and thus more costly – it is to produce new bitcoins. As a result, the price of bitcoin has to increase as its cost of production also rises. The Bitcoin mining network's aggregate power has more than tripled over the past twelve months.
Volatility. This very reason many speculators are attracted to Bitcoin is the same reason many potential users are hesitant to get involved. Users that look at Bitcoin as a speculative investment option are essentially gambling on the process, and the future price of Bitcoin is largely unknown. There are estimates that Bitcoin will both be worth pennies in a few years, while some predict that a single bitcoin will be worth $500k in three years. As new investors continue to invest and the market cap grows, Bitcoin’s price could become more stable.

Bitcoin can even be purchased as a long-term investment through a Bitcoin IRA. A Bitcoin IRA can provide the same profit potential and investment opportunity as a regular Bitcoin purchase, but it can do so with the added benefits of an IRA account. Some of the primary benefits of purchasing Bitcoin in an IRA include tax-deferred growth and a possible tax deduction. For more information on Bitcoin IRA accounts, visit 
Just because miners want power doesn’t mean they get it. Some inquiries are withdrawn. And all three county public utilities have considerable discretion when it comes to granting power requests. But by law, they must consider any legitimate request for power, which has meant doing costly studies and holding hearings—sparking a prolonged, public debate over this new industry’s impact on the basin’s power economy. There are concerns about the huge costs of new substations, transmission wires and other infrastructure necessary to accommodate these massive loads. In Douglas County, where the bulk of the new mining projects are going in, a brand new 84-megawatt substation that should have been adequate for the next 30 to 50 years of normal population growth was fully subscribed in less than a year.
News drives attention, and attention drives understanding. While many people have flocked to cryptocurrencies purely in search of financial gain, there are a ton of people that are simply curious. Some peoples are sticking around and trying to understand what cryptos are all about. While more users increases Bitcoin’s network effect, more people forming in-depth understandings of cryptos also strengthen the active Bitcoin community.
The controller on the S9 has a red light that goes off when it detects a malfunction. Technicians like Zhang are on hand to scan the racks for sick rigs. When they find one, they pull it out and send it to a house on the factory lot where other technicians diagnose the problem, fix it, and get the machine back on the line. Sometimes it’s a failed chip. Other times it’s a burned-out fan. If the problem is more serious, then the rig gets sent all the way to Bitmain’s labs in Shenzhen in southeast China for a proper rebuild. Every moment the rigs spend unplugged, potential revenue slips away.
Even in the recent price crash, the miners have maintained their upbeat attitude, in part because they’ve died this death a few times before. In February, a day after bitcoin’s price dipped below $6,000, I checked in with Carlson to see how he was dealing with the huge sell-off. In a series of long texts, he expressed only optimism. The market correction, he argued, had been inevitable, given the rapid price increase. He noted that mining costs in the basin remain so low—still just a little above $2,000 per coin—that prices have a way to fall before bitcoin stops being worth mining there. Carlson is, he told me, “100 percent confident” the price will surpass the $20,000 level we saw before Christmas. “The question, as always, is how long will it take.”
Unfortunately, as good as the ASICS there are some downsides associated with Bitcoin ASIC mining. Although the energy consumption is far lower than graphics cards, the noise production goes up exponentially, as these machines are far from quiet. Additionally, ASIC Bitcoin miners produce a ton of heat and are all air‐cooled, with temperatures exceeding 150 degrees F. Also, Bitcoin ASICs can only produce so much computational power until they hit an invisible wall. Most devices are not capable of producing more than 1.5 TH/s (terrahash) of computational power, forcing customers to buy these machines in bulk if they want to start a somewhat serious Bitcoin mining business.

In parts of the basin, utility crews now actively hunt unpermitted miners, in a manner not unlike the way police look for indoor cannabis farms. The biggest giveaway, Stoll says, is a sustained jump in power use. But crews have learned to look, and listen, for other telltales, such as “fans that are exhausting out of the garage or a bedroom.” In any given week, the utility flushes out two to five suspected miners, Stoll says. Some come clean. They pay for permits and the often-substantial wiring upgrades, or they quit. But others quietly move their servers to another residential location and plug back in. “It’s a bit of a cat-and-mouse game,” Stoll admits.
The chief selling point of this hardware wallet is that you no longer have to write down several passphrases to recover your assets in case of an emergency. Rather, when you first setup the DigitalBitbox all this information is automatically stored on the SD card. No doubt, this has the potential to save many investors headaches in the future. Granted, you must still ensure that the SD card is kept somewhere safe and you should only ever have into inserted in the DigitalBitbox on setup or when resetting.
To be accepted by the rest of the network, a new block must contain a so-called proof-of-work (PoW).[64] The system used is based on Adam Back's 1997 anti-spam scheme, Hashcash.[5][79] The PoW requires miners to find a number called a nonce, such that when the block content is hashed along with the nonce, the result is numerically smaller than the network's difficulty target.[3]:ch. 8 This proof is easy for any node in the network to verify, but extremely time-consuming to generate, as for a secure cryptographic hash, miners must try many different nonce values (usually the sequence of tested values is the ascending natural numbers: 0, 1, 2, 3, ...[3]:ch. 8) before meeting the difficulty target.
The best mining sites were the old fruit warehouses—the basin is as famous for its apples as for its megawatts—but those got snapped up early. So Miehe, a tall, gregarious 38-year-old who would go on to set up a string of mines here, learned to look for less obvious solutions. He would roam the side streets and back roads, scanning for defunct businesses that might have once used a lot of power. An old machine shop, say. A closed-down convenience store. Or this: Miehe slows the Land Rover and points to a shuttered carwash sitting forlornly next to a Taco Bell. It has the space, he says. And with the water pumps and heaters, “there’s probably a ton of power distributed not very far from here,” Miehe tells me. “That could be a bitcoin mine.”
Gradually, people moved to GPU mining. A GPU (graphics processing unit) is a special component added to computers to carry out more complex calculations. GPUs were originally intended to allow gamers to run computer games with intense graphics requirements. Because of their architecture, they became popular in the field of cryptography, and around 2011, people also started using them to mine bitcoins. For reference, the mining power of one GPU equals that of around 30 CPUs.

Another interesting way (literally) to earn bitcoins is by lending them out, and being repaid in the currency. Lending can take three forms – direct lending to someone you know; through a website which facilitates peer-to-peer transactions, pairing borrowers and lenders; or depositing bitcoins in a virtual bank that offers a certain interest rate for Bitcoin accounts. Some such sites are Bitbond, BitLendingClub and BTCjam. Obviously, you should do due diligence on any third-party site.
No. 3: Electrum (software wallet). Electrum is a popular, free storage option in the bitcoin community, and is one of the most, if not the most, well-respected desktop storage apps out there. It's been around since 2011 and is also available for mobile, though Apple (ticker: AAPL) iPhone users are out of luck – to date it's only supported by Android.

You can look at this hash as a really long number. (It's a hexadecimal number, meaning the letters A-F are the digits 10-15.) To ensure that blocks are found roughly every ten minutes, there is what's called a difficulty target. To create a valid block your miner has to find a hash that is below the difficulty target. So if for example the difficulty target is
Though Bitcoin was not designed as a normal equity investment (no shares have been issued), some speculative investors were drawn to the digital money after it appreciated rapidly in May 2011 and again in November 2013. Thus, many people purchase bitcoin for its investment value rather than as a medium of exchange. But their lack of guaranteed value and digital nature means the purchase and use of bitcoins carries several inherent risks. Many investor alerts have been issued by the Securities and Exchange Commission (SEC), the Financial Industry Regulatory Authority (FINRA), the Consumer Financial Protection Bureau (CFPB), and other agencies.
Third-party internet services called online wallets offer similar functionality but may be easier to use. In this case, credentials to access funds are stored with the online wallet provider rather than on the user's hardware.[93][94] As a result, the user must have complete trust in the wallet provider. A malicious provider or a breach in server security may cause entrusted bitcoins to be stolen. An example of such a security breach occurred with Mt. Gox in 2011.[95] This has led to the often-repeated meme "Not your keys, not your bitcoin".[96]
Based in Austin, TX, Steven is the Executive Editor at CoinCentral. He’s interviewed industry heavyweights such as Wanchain President Dustin Byington, TechCrunch Editor-in-Chief Josh Constine, IOST CEO Jimmy Zhong, Celsius Network CEO Alex Mashinsky, and ICON co-founder Min Kim among others. Outside of his role at CoinCentral, Steven is a co-founder and CEO of Coin Clear, a mobile app that automates cryptocurrency investments. You can follow him on Twitter @TheRealBucci to read his “clever insights on the crypto industry.” His words, not ours.

In Charles Stross' 2013 science fiction novel, Neptune's Brood, the universal interstellar payment system is known as "bitcoin" and operates using cryptography.[235] Stross later blogged that the reference was intentional, saying "I wrote Neptune's Brood in 2011. Bitcoin was obscure back then, and I figured had just enough name recognition to be a useful term for an interstellar currency: it'd clue people in that it was a networked digital currency."[236]
The influx in malware led some online companies to implement protective measures for their users. Google announced in a blog post in April that it would no longer allow browser extensions in its Web Store that mine cryptocurrencies. The online store allows for users to pick extensions and apps that personalize their Chrome web browser, but the company noted that the “capabilities have attracted malicious software developers who attempt to abuse the platform at the expense of users.”

An ASIC (application-specific integrated circuit) is a microchip designed for a special application, such as a particular kind of transmission protocol or a hand-held computer.  An ASIC is a chip designed specifically to do only one task. Unlike FPGAs, an ASIC cannot be repurposed to perform other tasks. An ASIC designed to mine Bitcoins can only mine Bitcoins and will only ever mine Bitcoins. The inflexibility of an ASIC is offset by the fact that it offers a 100x increase in hashing power compared to the CPU and GPUs, while reducing power consumption compared to all the previous technologies.
Bitcoin Mining is a peer-to-peer computer process used to secure and verify bitcoin transactions—payments from one user to another on a decentralized network. Mining involves adding bitcoin transaction data to Bitcoin's global public ledger of past transactions. Each group of transactions is called a block. Blocks are secured by Bitcoin miners and build on top of each other forming a chain. This ledger of past transactions is called the blockchain. The blockchain serves to confirm transactions to the rest of the network as having taken place. Bitcoin nodes use the blockchain to distinguish legitimate Bitcoin transactions from attempts to re-spend coins that have already been spent elsewhere.
As specified by the Bitcoin protocol, each miner is rewarded by each block mined.  Currently, that reward is 12.5 new Bitcoins for each block mined. The Bitcoin block mining reward halves every 210,000 blocks, when the coin reward will decrease from 12.5 to 6.25 coins.  Currently, the total number of Bitcoins left to be mined amounts to 4,293,388. This means that 16,706,613 Bitcoins are in circulation, and that the total number of blocks available until mining reward is halved is 133,471 blocks till 11:58:04 12th Jun, 2020 When the mining reward will be halved.

While it is possible to store any digital file in the blockchain, the larger the transaction size, the larger any associated fees become. Various items have been embedded, including URLs to child pornography, an ASCII art image of Ben Bernanke, material from the Wikileaks cables, prayers from bitcoin miners, and the original bitcoin whitepaper.[21]
The primary purpose of mining is to allow Bitcoin nodes to reach a secure, tamper-resistant consensus. Mining is also the mechanism used to introduce bitcoins into the system. Miners are paid transaction fees as well as a subsidy of newly created coins, called block rewards. This both serves the purpose of disseminating new coins in a decentralized manner as well as motivating people to provide security for the system through mining.
As you can imagine, since mining is based on a form of guessing, for each block, a different miner will guess the number and be granted the right to update the blockchain. Of course, the miners with more computing power will succeed more often, but due to the law of statistical probability, it’s highly unlikely that the same miner will succeed every time.
The whole process is pretty simple and organized: Bitcoin holders are able to transfer bitcoins via a peer-to-peer network. These transfers are tracked on the “blockchain,” commonly referred to as a giant ledger. This ledger records every bitcoin transaction ever made. Each “block” in the blockchain is built up of a data structure based on encrypted Merkle Trees. This is particularly useful for detecting fraud or corrupted files. If a single file in a chain is corrupt or fraudulent, the blockchain prevents it from damaging the rest of the ledger.

Some nodes are mining nodes (usually referred to as "miners"). These group outstanding transactions into blocks and add them to the blockchain. How do they do this? By solving a complex mathematical puzzle that is part of the bitcoin program, and including the answer in the block. The puzzle that needs solving is to find a number that, when combined with the data in the block and passed through a hash function, produces a result that is within a certain range. This is much harder than it sounds.
The software delivers the work to the miners and receives the completed work from the miners and relays that information back to the blockchain. The best Bitcoin mining software can run on almost any desktop operating systems, such as OSX, Windows, Linux, and has even been ported to work on a Raspberry Pi with some modifications for drivers depending on the platform.
Let’s say a hacker wanted to change a transaction that happened 60 minutes, or six blocks, ago—maybe to remove evidence that she had spent some bitcoins, so she could spend them again. Her first step would be to go in and change the record for that transaction. Then, because she had modified the block, she would have to solve a new proof-of-work problem—find a new nonce—and do all of that computational work, all over again. (Again, due to the unpredictable nature of hash functions, making the slightest change to the original block means starting the proof of work from scratch.) From there, she’d have to start building an alternative chain going forward, solving a new proof-of-work problem for each block until she caught up with the present.
That’s all transactions are—people signing bitcoins (or fractions of bitcoins) over to each other. The ledger tracks the coins, but it does not track people, at least not explicitly. Assuming Bob creates a new address and key for each transaction, the ledger won’t be able to reveal who he is, or which addresses are his, or how many bitcoins he has in all. It’s just a record of money moving between anonymous hands.
Bitcoin's origin story sounds like something out of science fiction: It was launched in 2008 on the heels of a white paper published by the mysterious Satoshi Nakamoto, whose real identity – and country of origin – are unknown. Nakamoto conceived of Bitcoin as a currency that was 1) encrypted; 2) decentralized, i.e. it was ungoverned and did not belong to any nation; and 3) a digital "distributed ledger," such that everyone can verify online the legitimacy of transactions.
Across the Mid-Columbia Basin, miners faced an excruciating dilemma: cut their losses and walk, or keep mining for basically nothing in the hopes that the cryptocurrency market would somehow turn around. Many smaller operators simply folded and left town—often leaving behind trashed sites and angry landlords. Even larger players began to draw lines in the sand. Carlson started moving out of mining and into hosting and running sites for other miners. Others held on. Among the latter was Salcido, the Wenatchee contractor-turned-bitcoin miner who grew up in the valley. “What I had to decide was, do I think this recovers, or does the chart keep going like this and become nothing?” Salcido told me recently. We were in his office in downtown Wenatchee, and Salcido, a clean-cut 43-year-old who is married with four young kids, was showing me a computer chart of the bitcoin price during what was one of the most agonizing periods of his life. “Month over month, you had to make this decision: Am I going to keep doing this, or am I going to call it?”
Meanwhile, investors have been rattled this week by reports bank-owned currency trading utility CLS, along with enterprise software giant IBM, are teaming up to trial the blockchain-based Ledger Connect, an application that offers services from different vendors, with some nine financial institutions, including international heavyweights Barclays and Citigroup.
Fusion Media or anyone involved with Fusion Media will not accept any liability for loss or damage as a result of reliance on the information including data, quotes, charts and buy/sell signals contained within this website. Please be fully informed regarding the risks and costs associated with trading the financial markets, it is one of the riskiest investment forms possible.
A $720 million sleeping giant has woken up after four years, with $100 million moved to Bitfinex and Binance over the course of ten days at the end of August. The bitcoin wallet contains 111,114 BTC or 0.52% of the total supply. The sudden movement of these dormant funds could have a disruptive potential in the market price action, particularly if the funds belong to one of the two possible likely candidates suggested by Reddit sleuth u/sick_silk.
Before you read further, please understand that most bitcoin users don't mine! But if you do then this Bitcoin miner is probably the best deal. Bitcoin mining for profit is very competitive and volatility in the Bitcoin price makes it difficult to realize monetary gains without also speculating on the price. Mining makes sense if you plan to do it for fun, to learn or to support the security of Bitcoin and do not care if you make a profit. If you have access to large amounts of cheap electricity and the ability to manage a large installation and business, you can mine for a profit.
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 is the first cryptocurrency, a concept that was discussed in the late 90s. The first Bitcoin specification and proof of concept was published in 2009 in a cryptography mailing list. The concept was presented by a person or group known as Satoshi Nakamoto. The real identity of Nakamoto has been a mystery since that time, with various theories on who the individual or group may be.
Instead, the ledger is broken up into blocks: discrete transaction logs that contain 10 minutes worth of bitcoin activity apiece. Every block includes a reference to the block that came before it, and you can follow the links backward from the most recent block to the very first block, when bitcoin creator Satoshi Nakamoto conjured the first bitcoins into existence.
More important, Nakamoto built the system to make the blocks themselves more difficult to mine as more computer power flows into the network. That is, as more miners join, or as existing miners buy more servers, or as the servers themselves get faster, the bitcoin network automatically adjusts the solution criteria so that finding those passwords requires proportionately more random guesses, and thus more computing power. These adjustments occur every 10 to 14 days, and are programmed to ensure that bitcoin blocks are mined no faster than one roughly every 10 minutes. The presumed rationale is that by forcing miners to commit more computing power, Nakamoto was making miners more invested in the long-term survival of the network.
But due to the volatility of bitcoin, it’s impossible to predict the annual revenue of a mining farm. On my flight from China back to the United States, the price of bitcoin crashed 25 percent, from $2,400 to $1,800. In no time at all the operation I visited was bringing in $50,000 less per day. Within a week it was back up, and approaching an all-time high.
Bitcoin Mining is intentionally designed to be resource-intensive and difficult so that the number of blocks found each day by miners remains steady over time, producing a controlled finite monetary supply. Individual blocks must contain a proof-of-work to be considered valid. This proof-of-work (PoW) is verified by other Bitcoin nodes each time they receive a block. Bitcoin uses a PoW function to protect against double-spending, which also makes Bitcoin's ledger immutable.
Controlling and monitoring your mining rig requires dedicated software. Depending on what mining rig you have, you’ll need to find the right software. Many mining pools have their own software, but some don’t. In case you’re not sure which mining software you need, you can find a list of Bitcoin mining software here. Also, if you want to compare different mining software, you can do it here.
As the world first 28nm BTC and LTC chip maker, Innosilicon selects Genesis Ming as partner in cloud mining industry business for its integrity, excellent customer oriented service and great user interface design. Genesis Mining is the best in class mining service that is supported by our technologically superior mining hardware. This unique synergy produces the best experience for those interested in mining and we look forward to having a long and prosperous relationship.
Jump up ^ Christin, Nicolas (2013). Traveling the Silk Road: A Measurement Analysis of a Large Anonymous Online Marketplace (PDF). Carnegie Mellon INI/CyLab. p. 8. Retrieved 22 October 2013. we suggest to compare the estimated total volume of Silk Road transactions with the estimated total volume of transactions at all Bitcoin exchanges (including Mt.Gox, but not limited to it). The latter corresponds to the amount of money entering and leaving the Bitcoin network, and statistics for it are readily available... approximately 1,335,580 BTC were exchanged on Silk Road... approximately 29,553,384 BTC were traded in Bitcoin exchanges over the same period... The only conclusion we can draw from this comparison is that Silk Road-related trades could plausibly correspond to 4.5% to 9% of all exchange trades
During the last several years an incredible amount of Bitcoin mining power (hashrate) has come online making it harder for individuals to have enough hashrate to single-handedly solve a block and earn the payout reward. To compensate for this pool mining was introduced. Pooled mining is a mining approach where groups of individual miners contribute to the generation of a block, and then split the block reward according the contributed processing power.
Security Risk: Bitcoin exchanges are entirely digital and, as with any virtual system, are at risk from hackers, malware and operational glitches. If a thief gains access to a Bitcoin owner's computer hard drive and steals his private encryption key, he could transfer the stolen Bitcoins to another account. (Users can prevent this only if bitcoins are stored on a computer which is not connected to the internet, or else by choosing to use a paper wallet – printing out the Bitcoin private keys and addresses, and not keeping them on a computer at all.) Hackers can also target Bitcoin exchanges, gaining access to thousands of accounts and digital wallets where bitcoins are stored. One especially notorious hacking incident took place in 2014, when Mt. Gox, a Bitcoin exchange in Japan, was forced to close down after millions of dollars worth of bitcoins were stolen.

Nor was it simply the deep pockets. At these prices, even smaller operators have been able to make real money running a few machines in home-based, under-the-radar mines. Take the 20-something Wenatchee man we’ll call “Benny”—he didn’t want to be identified—who last July bought three mining servers, set them up in his house (one in the master bedroom and two in the living room)—and began mining Ethereum, bitcoin’s closest cryptocurrency rival. As Ethereum climbed from $165 in July to nearly $1,200 in January, Benny had not only repaid his $7,000 investment but was making enough to pay his mortgage. As a side benefit, this winter, Benny’s power bill went down: The waste heat from the three churning servers kept the house at a toasty 78 degrees. “We actually have to open the windows,” he told me in January. His servers, meanwhile, pretty much run themselves—although, when he’s at work, clerking at a grocery, he monitors the machines, and the Ethereum price, on his phone. “It’s just basically free money,” Benny says. “All I have to do is wake up in the morning and make sure nothing crashed during the night.”
Client-side encryption means all of your data is encrypted on your device before any of your information touches our servers. No server-side hacks, no malware = safe assets. That also means that  Edge as a company does not have access to, nor have any knowledge of your account information. Only you and you alone has access and control of your assets—the way it should be.
Bitcoin mining is a peer-to-peer process of adding data into Bitcoin’s public ledger in order to verify and secure a contract. Groups of recorded transactions are gathered in blocks and then added into the Bitcoin blockchain. Bitcoin mining requires a lot of resources to protect the network from the possibility of altering past transaction data by making all attempts in changing blocks inefficient for the intruder. Bitcoin mining is rewarded by the network through transaction fees and subsidies of new coins to encourage miners to spend their resources on mining new Bitcoin blocks. As Bitcoin mining is increasingly difficult, it has become impossible to attempt mining as an individual. As a result, most Bitcoin mining is being done by mining pools, which include several participants sharing their reward. Bitcoin mining is controversial, as it is a great tool for securing transactions but complicating the scaling of the network. 
According to the Internet Watch Foundation, a UK-based charity, bitcoin is used to purchase child pornography, and almost 200 such websites accept it as payment. Bitcoin isn't the sole way to purchase child pornography online, as Troels Oertling, head of the cybercrime unit at Europol, states, "Ukash and paysafecard... have [also] been used to pay for such material." However, the Internet Watch Foundation lists around 30 sites that exclusively accept bitcoins.[31] Some of these sites have shut down, such as a deep web crowdfunding website that aimed to fund the creation of new child porn.[47][better source needed] Furthermore, hyperlinks to child porn websites have been added to the blockchain as arbitrary data can be included when a transaction is made.[48][49]
Many also fear that the new mines will suck up so much of the power surplus that is currently exported that local rates will have to rise. In fact, miners’ appetite for power is growing so rapidly that the three counties have instituted surcharges for extra infrastructure, and there is talk of moratoriums on new mines. There is also talk of something that would have been inconceivable just a few years ago: buying power from outside suppliers. That could mean the end of decades of ultracheap power—all for a new, highly volatile sector that some worry may not be around long anyway. Indeed, one big fear, says Dennis Bolz, a Chelan County Public Utility commissioner, is that a prolonged price collapse will cause miners to abandon the basin—and leave ratepayers with “an infrastructure that may or may not have a use.”
A mining pool sets a difficulty level between 1 and the currency’s difficulty. If a miner returns a block which scores a difficulty level between the pool’s difficulty level and the currency’s difficulty level, the block is recorded as a ‘share’. There is no use whatsoever for these share blocks, but they are recorded as proof of work to show that miners are trying to solve blocks. They also indicate how much processing power they are contributing to the pool the better the hardware, the more shares are generated.
The bitcoin blockchain is a public ledger that records bitcoin transactions.[64] It is implemented as a chain of blocks, each block containing a hash of the previous block up to the genesis block[a] of the chain. A network of communicating nodes running bitcoin software maintains the blockchain.[30]:215–219 Transactions of the form payer X sends Y bitcoins to payee Z are broadcast to this network using readily available software applications.