core axioms
核心公理
stated axioms
陈述公理
testing axioms
检验公理
fundamental axioms
基本公理
defining axioms
定义公理
axioms matter
公理很重要
axioms guide
公理指导
axioms underpin
公理奠定基础
axioms shape
公理塑造
examining axioms
检查公理
the axioms of euclidean geometry are fundamental assumptions.
欧几里得几何学的公理是基本假设。
we built the entire proof upon a few core axioms.
我们完全基于几个核心公理来构建整个证明。
the axioms provided a foundation for further mathematical exploration.
这些公理为进一步的数学探索奠定了基础。
challenging established axioms can lead to new mathematical discoveries.
挑战既定的公理可能会导致新的数学发现。
the system of axioms must be consistent to avoid contradictions.
公理系统必须保持一致，以避免矛盾。
he questioned the validity of the underlying axioms of the theory.
他对该理论的底层公理的有效性提出了质疑。
the axioms served as the starting point for their investigation.
这些公理是他们研究的起点。
it's important to clearly state the axioms before proving a theorem.
在证明定理之前，明确说明公理非常重要。
the axioms of probability underpin many statistical methods.
概率公理是许多统计方法的基础。
the researchers examined the set of axioms carefully.
研究人员仔细检查了这些公理。
the axioms of set theory are crucial in modern mathematics.
集合论的公理在现代数学中至关重要。
core axioms
核心公理
stated axioms
陈述公理
testing axioms
检验公理
fundamental axioms
基本公理
defining axioms
定义公理
axioms matter
公理很重要
axioms guide
公理指导
axioms underpin
公理奠定基础
axioms shape
公理塑造
examining axioms
检查公理
the axioms of euclidean geometry are fundamental assumptions.
欧几里得几何学的公理是基本假设。
we built the entire proof upon a few core axioms.
我们完全基于几个核心公理来构建整个证明。
the axioms provided a foundation for further mathematical exploration.
这些公理为进一步的数学探索奠定了基础。
challenging established axioms can lead to new mathematical discoveries.
挑战既定的公理可能会导致新的数学发现。
the system of axioms must be consistent to avoid contradictions.
公理系统必须保持一致，以避免矛盾。
he questioned the validity of the underlying axioms of the theory.
他对该理论的底层公理的有效性提出了质疑。
the axioms served as the starting point for their investigation.
这些公理是他们研究的起点。
it's important to clearly state the axioms before proving a theorem.
在证明定理之前，明确说明公理非常重要。
the axioms of probability underpin many statistical methods.
概率公理是许多统计方法的基础。
the researchers examined the set of axioms carefully.
研究人员仔细检查了这些公理。
the axioms of set theory are crucial in modern mathematics.
集合论的公理在现代数学中至关重要。
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