proven theorems
已证明的定理
mathematical theorems
数学定理
fundamental theorems
基本定理
geometric theorems
几何定理
important theorems
重要定理
classical theorems
经典定理
key theorems
关键定理
new theorems
新定理
related theorems
相关定理
theorems proved
已证明的定理
many mathematicians have proven various theorems throughout history.
许多数学家在历史上证明了各种定理。
the theorems of geometry are essential for understanding shapes.
几何定理对于理解形状至关重要。
in calculus, we often rely on theorems to solve complex problems.
在微积分中，我们常常依赖定理来解决复杂问题。
some theorems can be applied in real-world situations.
一些定理可以应用于现实世界的情况。
the proof of these theorems requires a deep understanding of mathematics.
这些定理的证明需要对数学有深入的理解。
students are often challenged to derive theorems on their own.
学生们常常被挑战独立推导定理。
understanding theorems is crucial for advanced mathematical studies.
理解定理对于高级数学研究至关重要。
some theorems have practical applications in physics and engineering.
一些定理在物理和工程中有实际应用。
the theorems of algebra form the foundation of many mathematical concepts.
代数定理构成了许多数学概念的基础。
researchers continue to discover new theorems in mathematics.
研究人员继续在数学中发现新的定理。
proven theorems
已证明的定理
mathematical theorems
数学定理
fundamental theorems
基本定理
geometric theorems
几何定理
important theorems
重要定理
classical theorems
经典定理
key theorems
关键定理
new theorems
新定理
related theorems
相关定理
theorems proved
已证明的定理
many mathematicians have proven various theorems throughout history.
许多数学家在历史上证明了各种定理。
the theorems of geometry are essential for understanding shapes.
几何定理对于理解形状至关重要。
in calculus, we often rely on theorems to solve complex problems.
在微积分中，我们常常依赖定理来解决复杂问题。
some theorems can be applied in real-world situations.
一些定理可以应用于现实世界的情况。
the proof of these theorems requires a deep understanding of mathematics.
这些定理的证明需要对数学有深入的理解。
students are often challenged to derive theorems on their own.
学生们常常被挑战独立推导定理。
understanding theorems is crucial for advanced mathematical studies.
理解定理对于高级数学研究至关重要。
some theorems have practical applications in physics and engineering.
一些定理在物理和工程中有实际应用。
the theorems of algebra form the foundation of many mathematical concepts.
代数定理构成了许多数学概念的基础。
researchers continue to discover new theorems in mathematics.
研究人员继续在数学中发现新的定理。
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