The
univalent functions form an important class in complex analysis.
单叶函数在复分析中构成一个重要的类。
A
univalent function is one that is both injective and holomorphic.
单叶函数是指既是单射又是全纯的函数。
In topology, a
univalent map means a continuous function that is also bijective.
在拓扑学中,单叶映射指的是连续且一一对应的函数。
This theorem proves that every
univalent function on the unit disk can be uniquely extended to a
univalent function on a larger domain.
这个定理证明了单位圆盘上的每一个单叶函数都可以唯一地延拓到更大的区域上成为一个单叶函数。
Univalent glycoproteins play a significant role in cell-cell recognition and adhesion.
单叶糖蛋白在细胞间的识别和粘附过程中发挥重要作用。
The Riemann mapping theorem guarantees the existence of a unique
univalent conformal map between simply connected domains.
黎曼映射定理保证了简单连通区域之间存在唯一的单叶共形映射。
We studied the properties of
univalent harmonic mappings in the context of geometric function theory.
我们在几何函数理论的框架下研究了单叶调和映射的性质。
The Schwarz lemma provides a fundamental inequality for holomorphic self-maps of the unit disk that are
univalent.
施瓦茨引理为单位圆盘上的单叶全纯自映射提供了一个基本不等式。
The theory of
univalent functions has applications in various areas such as hydrodynamics and elasticity.
单叶函数理论在流体力学和弹性力学等多个领域都有应用。
The coefficients of a
univalent power series expansion determine its behavior near the origin.
单叶幂级数展开的系数决定了其在原点附近的性态。
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