the noncomputability of certain functions was proven by alan turing.
圖靈證明了某些函數的不可計算性。
noncomputability of the halting problem is a fundamental theorem in computer science.
停機問題的不可計算性是電腦科學中的基本定理。
studying the limits of computation involves understanding the concept of noncomputability.
研究計算的極限需要理解不可計算性的概念。
even quantum computers cannot overcome the inherent noncomputability of specific problems.
即使量子電腦也無法克服特定問題本身的不可計算性。
gödel's incompleteness theorems are closely related to noncomputability in logic.
哥德爾的不完備定理與邏輯中的不可計算性密切相關。
the concept of noncomputability arises when exploring the boundaries of algorithms.
在探討演算法的界限時，會產生不可計算性的概念。
researchers debated the noncomputability of true randomness in number generation.
研究人員就數字生成中真正隨機性的不可計算性進行了爭論。
demonstrating noncomputability often requires complex mathematical proofs.
證明不可計算性通常需要複雜的數學證明。
understanding noncomputability is essential for theoretical computer science.
理解不可計算性對理論電腦科學至關重要。
physicists question the role of noncomputability in chaotic systems.
物理學家質疑不可計算性在混沌系統中的作用。
noncomputability implies that no algorithm can solve the problem for all cases.
不可計算性意味著沒有演算法能解決所有情況下的問題。
penrose argued that human consciousness relies on noncomputability.
彭羅斯認為人類意識依賴於不可計算性。
the noncomputability of certain functions was proven by alan turing.
圖靈證明了某些函數的不可計算性。
noncomputability of the halting problem is a fundamental theorem in computer science.
停機問題的不可計算性是電腦科學中的基本定理。
studying the limits of computation involves understanding the concept of noncomputability.
研究計算的極限需要理解不可計算性的概念。
even quantum computers cannot overcome the inherent noncomputability of specific problems.
即使量子電腦也無法克服特定問題本身的不可計算性。
gödel's incompleteness theorems are closely related to noncomputability in logic.
哥德爾的不完備定理與邏輯中的不可計算性密切相關。
the concept of noncomputability arises when exploring the boundaries of algorithms.
在探討演算法的界限時，會產生不可計算性的概念。
researchers debated the noncomputability of true randomness in number generation.
研究人員就數字生成中真正隨機性的不可計算性進行了爭論。
demonstrating noncomputability often requires complex mathematical proofs.
證明不可計算性通常需要複雜的數學證明。
understanding noncomputability is essential for theoretical computer science.
理解不可計算性對理論電腦科學至關重要。
physicists question the role of noncomputability in chaotic systems.
物理學家質疑不可計算性在混沌系統中的作用。
noncomputability implies that no algorithm can solve the problem for all cases.
不可計算性意味著沒有演算法能解決所有情況下的問題。
penrose argued that human consciousness relies on noncomputability.
彭羅斯認為人類意識依賴於不可計算性。
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