برنامه نویسان | Barnamenevisan | United States America (US)

Create: 2025-06-28 Update: 2025-07-04 04:26:25

🔴 محاسبات با دقت چندگانه (Multiple Precision Arithmetic)؛ فراتر از اعداد معمولی

🔸 وقتی دقت محاسبات معمول مانند Float یا Double کافی نباشد، محاسبات با دقت چندگانه وارد صحنه می‌شوند. این روش در رمزنگاری، نجوم، فیزیک کوانتومی و یادگیری ماشین پیشرفته به‌کار می‌رود.

🔹 در زبان‌هایی مانند ++C یا Python، کتابخانه‌هایی مثل GMP، MPFR و mpmath برای انجام محاسبات با دقت چندصد رقم اعشاری طراحی شده‌اند. در این کتابخانه‌ها، اعداد به صورت آرایه‌هایی از بلوک‌های باینری نگهداری می‌شوند که می‌توانند هزاران رقم اعشار را بدون خطا ذخیره و پردازش کنند. استفاده از این نوع محاسبات در الگوریتم‌هایی مانند RSA، شبیه‌سازی‌های فیزیکی حساس یا تحلیل‌های مالی دقیق ضروری است. البته به دلیل مصرف بالای منابع، باید به‌درستی و در جای مناسب استفاده شوند.

⭕️ در پروژه‌هایی که دقت مهم‌تر از سرعت است، محاسبات چندگانه تنها راه حل مطمئن به شمار می‌آید.

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Bitcoin is a decentralized digital currency that you can buy, sell and exchange directly, without an intermediary like a bank. Bitcoin’s creator, Satoshi Nakamoto, originally described the need for “an electronic payment system based on cryptographic proof instead of trust.” Each and every Bitcoin transaction that’s ever been made exists on a public ledger accessible to everyone, making transactions hard to reverse and difficult to fake. That’s by design: Core to their decentralized nature, Bitcoins aren’t backed by the government or any issuing institution, and there’s nothing to guarantee their value besides the proof baked in the heart of the system. “The reason why it’s worth money is simply because we, as people, decided it has value—same as gold,” says Anton Mozgovoy, co-founder & CEO of digital financial service company Holyheld.

🔴 محاسبات با دقت چندگانه (Multiple Precision Arithmetic)؛ فراتر از اعداد معمولی

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