| 复数 | llmas |
we need to prove this lemma before proceeding with the main theorem.
在继续主定理之前,我们需要证明这个引理。
the following lemma establishes a key relationship between the variables.
以下引理建立了变量之间的关键关系。
mathematicians often use this lemma as a stepping stone for larger proofs.
数学家们常常将这个引理作为更大证明的垫脚石。
the proof of this lemma requires several intermediate steps.
证明这个引理需要几个中间步骤。
let us consider the first lemma presented in chapter three.
让我们考虑第三章中提出的第一个引理。
this lemma can be applied to solve various optimization problems.
这个引理可以用来解决各种优化问题。
the researchers proved an important lemma about network connectivity.
研究人员证明了一个关于网络连通性的重要引理。
we will use this lemma repeatedly throughout the derivation.
在整个推导过程中,我们将反复使用这个引理。
this lemma provides the foundation for the subsequent theorem.
这个引理为后续定理提供了基础。
the authors introduce a new lemma to simplify the argument.
作者引入了一个新引理以简化论证。
by applying this lemma, we can reduce the complexity significantly.
通过应用这个引理,我们可以显著降低复杂性。
the lemma states that every continuous function achieves a maximum value.
该引理指出每个连续函数都能达到最大值。
several lemmas are needed to complete this comprehensive proof.
需要几个引理来完成这个全面的证明。
we need to prove this lemma before proceeding with the main theorem.
在继续主定理之前,我们需要证明这个引理。
the following lemma establishes a key relationship between the variables.
以下引理建立了变量之间的关键关系。
mathematicians often use this lemma as a stepping stone for larger proofs.
数学家们常常将这个引理作为更大证明的垫脚石。
the proof of this lemma requires several intermediate steps.
证明这个引理需要几个中间步骤。
let us consider the first lemma presented in chapter three.
让我们考虑第三章中提出的第一个引理。
this lemma can be applied to solve various optimization problems.
这个引理可以用来解决各种优化问题。
the researchers proved an important lemma about network connectivity.
研究人员证明了一个关于网络连通性的重要引理。
we will use this lemma repeatedly throughout the derivation.
在整个推导过程中,我们将反复使用这个引理。
this lemma provides the foundation for the subsequent theorem.
这个引理为后续定理提供了基础。
the authors introduce a new lemma to simplify the argument.
作者引入了一个新引理以简化论证。
by applying this lemma, we can reduce the complexity significantly.
通过应用这个引理,我们可以显著降低复杂性。
the lemma states that every continuous function achieves a maximum value.
该引理指出每个连续函数都能达到最大值。
several lemmas are needed to complete this comprehensive proof.
需要几个引理来完成这个全面的证明。
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