adv.用几何学；几何学上地；按几何级数地

This problem is reminiscent of geometrically to answer them.
这一问题让人想起用几何学加以解答。
In the first good days, their numbers increased geometrically.
初期的好日子里，他们的数量以几何级数增加。
Customer arrival time and service time are shown to be geometrically distributed.
顾客的到达时间和服务时间被证明均服从几何分布。
The concept of geometrically distributed random variables is fundamental in understanding various stochastic processes.
**中文释义**：几何分布随机变量的概念对于理解各种随机过程是基础性的。
The city's skyline is geometrically striking, with modern skyscrapers juxtaposed against ancient temples.
**中文释义**：这个城市的天际线在几何形态上极为引人注目，现代摩天大楼与古庙并置。
To scale up the production process geometrically, we need to invest in more advanced machinery.
**中文释义**：要使生产过程成几何级数增长，我们需要投资更先进的机械。
The artist used geometrically precise shapes to create a sense of order and balance in his paintings.
**中文释义**：这位艺术家使用了几何学上精确的形状来在他的画作中创造一种秩序和平衡感。
The population of the town has been growing geometrically over the past decade due to its booming economy.
**中文释义**：由于经济的蓬勃发展，这个城镇的人口在过去十年中呈几何级数增长。
The algorithm reduces the complexity of the problem geometrically, making it much easier to solve.
**中文释义**：该算法以几何方式降低了问题的复杂度，使其更容易解决。
Geometrically designing a garden involves carefully planning the layout based on shapes, symmetry, and perspective.
**中文释义**：从几何角度设计一个花园涉及根据形状、对称性和透视原理仔细规划布局。
The company's profit margin has expanded geometrically since they adopted a new marketing strategy.
**中文释义**：自从采用新的营销策略以来，公司的利润率呈几何级数扩大。
In mathematics, a geometric series is the sum of an infinite number of terms in which each term after the first is found by multiplying the previous one by a fixed, non-zero number called the ratio.
**中文释义**：在数学中，几何级数是一系列无限项的和，其中第一项之后的每一项都是通过将前一项乘以一个固定且非零的数（称为比率）得到的。
The architect's vision for the building was geometrically bold, incorporating sharp angles and clean lines that challenged traditional design norms.
**中文释义**：建筑师对这座建筑的构想在几何形态上十分大胆，融入了锐角和干净的线条，挑战了传统设计规范。