By Bitcoin.com - pred 1 letom - Čas branja: 3 minute
Satoshijeva matematika: kako BitcoinUporaba matematičnih orodij zagotavlja doslednost sistema
Over 14 years ago, Satoshi Nakamoto unveiled the Bitcoin network to the world, creating the very first triple-entry bookkeeping system known to mankind. This technological wonder, with a current market value of $540 billion, ingeniously integrates encryption and mathematical formulas to fortify its security. In this exploration, we delve into two of the mathematical choices that underpin Bitcoin’s complex architecture, determining block rewards, transaction inputs and outputs, and mining difficulty adjustments, while also regulating the pace at which new blocks are discovered.
Whole Numbers at Work: A Look at Bitcoin’s Use of Integers
Bitcoin was created using a variety of encryption processes and mathematical formulas, each with a specific purpose. One design element incorporated into Bitcoin ali je uporaba celih števil, ali cela števila in njihove negativne dvojnike.
O Bitcoin mreža uporablja celoštevilsko matematiko da bi preprečili morebitna nesoglasja, do katerih bi lahko prišlo, če bi uporabili decimalna ali delna števila. Uporaba celih števil in njihovih negativnih dvojnikov zagotavlja, da se lahko vse računalniške naprave učinkoviteje sinhronizirajo in dogovorijo o določenih spremembah omrežja.
O uporaba celih števil vzdrževati Bitcoin’s ruleset includes block rewards and halvings that occur at specific block heights divisible by 210,000. Bitcoin’s mining difficulty also utilizes integers to adjust the difficulty every 2,016 blocks. Integers, a type of numerical data frequently used in computational software, are also employed in Bitcoin transaction inputs and outputs.
Furthermore, integer calculations are generally faster and less prone to error than floating-point numbers. If Bitcoin were to use floating-point numbers, it could introduce rounding errors, leading to inconsistencies and disagreements between different nodes on the network.
Od leta Bitcoin uses integers, the block reward from a future halving will eventually be truncated or rounded down to the nearest whole number using bit-shift operators or a bitwise operation. Because the smallest unit of Bitcoin is a satoshi, it makes it impossible to halve. As a result, Bitcoin’s much-discussed capped supply of bitcoin bo dejansko manj kot 21 milijonov.
Regulacija blokovnih časov s Poissonovo porazdelitvijo
In addition to integers, Bitcoin zaposluje matematična formula, podobna Poissonovi porazdelitvi, za uravnavanje časovne doslednosti bloka. Model Poissonove porazdelitve je leta 1837 razvil francoski matematik Simeon Denis Poisson. Z uporabo tega modela, Bitcoinje oblikovanje zagotavlja, da so bloki odkriti vsakih 10 minut.
Dejanski čas, ki je potreben za rudarjenje bloka, se lahko razlikuje zaradi verjetnostne narave procesa rudarjenja, vendar so bloki običajno najdeni v razponu od 8 do 12 minut. Satoshi je vključil a nastavitev težavnosti vsakih 2,016 blokov z uporabo formule za vzdrževanje grobega povprečja 10-minutnih blokovnih intervalov.
Tako celoštevilska matematika kot Poissonova porazdelitev sta bistvena matematična orodja in Bitcoin, providing a consistent framework for performing calculations and modeling various aspects of the system.
Bitcoin zaposluje številne druge matematičnih mehanizmov in sheme šifriranja za zagotavljanje točnosti, doslednosti in učinkovitosti sistema kot celote. Ti med drugim vključujejo koncepte in formule, kot so dokaz o delu (PoW), drevesa Merkle, kriptografija eliptične krivulje, kriptografske zgoščene funkcije in končna polja.
What do you think about the mathematical schemes used by the Bitcoin network? Let us know your thoughts in the comments section below.
Izvorni vir: Bitcoin.com