logarithmically

简明释义

英[ˈlɒɡərɪðmɪkli]美[ˈlɑːɡərɪðmɪkli]

adv. 用对数

英英释义

单词用法

同义词

反义词

例句

1.There are a surprisingly large number (128) of fixed-width bins, approximately logarithmically spaced in size.

有许多(128个)固定大小的箱子，大小近似填充到对数。

2.The variation equation describing distance dependence of the beam waist of a fundamental Gaussian beam with high intensity propagating in logarithmically saturable nonlinear media has been deduced.

导出了在对数饱和非线性介质中传播的强激光基模高斯光束宽度随传播距离变化的方程。

3.The monotonicity and logarithmically complete monotonicity properties for the Gamma function are obtained.

伽玛函数的单调性质和对数完全单调性质被获得了。

4.The other is two logarithmically divergent terms which not only depend on the characteristics of the black hole but also on the spin of fields.

另一部分是两个对数发散项，这部分除了与黑洞的本身特征性质有关以外，还与自旋场的自旋有关。

5.The total water holding capacity and proportional water holding capacity of litter increased logarithmically with increasing time immersed in water.

凋落物持水量和凋落物持水率随着浸泡时间的增加按照对数关系增加。

6.The variation equation describing distance dependence of the beam waist of a fundamental Gaussian beam with high intensity propagating in logarithmically saturable nonlinear media has been deduced.

导出了在对数饱和非线性介质中传播的强激光基模高斯光束宽度随传播距离变化的方程。

7.The extracting rate of the essential oil was logarithmically increased with extracting pressure and time.

精油萃取率与萃取压力、萃取时间呈对数函数关系。

8.The existence of dark and gray spatial solitons in logarithmically nonlinear media is investigated. It is shown that both dark and gray solitons are possible in corresponding nonlinear media.

对在对数型非线性介质中空间灰孤子的存在性进行了研究，认为对数型非线性介质中可以同时支持暗和灰空间孤子态。

9.The efficiency of the algorithm improved logarithmically 对数增长 as we optimized its structure.

随着我们优化算法的结构，其效率以logarithmically 对数增长的方式提高。

10.The complexity of the problem increases logarithmically 对数增长 with the number of variables involved.

随着涉及变量数量的增加，问题的复杂性以logarithmically 对数增长的方式增加。

11.The population of the city grew logarithmically 对数增长 over the last decade, indicating a steady increase rather than an explosive one.

在过去十年中，该城市的人口以logarithmically 对数增长的方式增长，这表明增长是稳定的，而不是爆炸式的。

12.In finance, the return on investment can sometimes grow logarithmically 对数增长 over time, reflecting compound interest.

在金融领域，投资回报有时会随着时间的推移以logarithmically 对数增长的方式增长，反映复利效应。

13.As the technology advanced, the amount of data we can store increased logarithmically 对数增长 with each new generation of devices.

随着技术的进步，我们可以存储的数据量以logarithmically 对数增长的方式随着每一代设备的更新而增加。

作文

In the realm of mathematics, the concept of growth can be understood in various ways. One of the most fascinating methods of describing growth is through the use of logarithms. When we say that something grows logarithmically (对数增长地), we are referring to a specific type of growth that occurs at a rate proportional to the logarithm of the value itself, rather than the value itself. This means that as the quantity increases, the rate of growth diminishes, creating a curve that rises quickly at first but then levels off over time.To illustrate this concept, consider the example of population growth in a city. In the early stages of development, a city may experience rapid population growth due to factors such as immigration, job opportunities, and improved living conditions. This initial surge can be described as exponential growth, where the population increases dramatically over a short period. However, as the city becomes more developed and reaches its carrying capacity, the rate of growth begins to slow down. At this point, the population growth can be described as logarithmic (对数增长的), reflecting the diminishing returns of resources and space available for new residents.Furthermore, the idea of logarithmic (对数增长的) growth is not limited to populations. It can also be observed in technology adoption. For instance, when a new gadget or software is introduced, early adopters are often quick to embrace it, leading to a sharp increase in usage. However, as the market saturates and most potential users have adopted the technology, the rate of new users joining slows down significantly. This pattern can be modeled using a logarithmic (对数增长的) function, showcasing how innovation spreads through a population over time.In economics, the concept of logarithmic (对数增长的) growth can be applied to analyze how businesses scale. A startup may experience rapid revenue growth in its initial years as it captures market share and builds a customer base. However, as competition increases and market saturation occurs, the growth rate might plateau, leading to a logarithmic (对数增长的) trend in revenue over time. This understanding helps entrepreneurs and investors make informed decisions about future growth strategies and resource allocation.Moreover, in the field of science, particularly in ecology and environmental studies, logarithmic (对数增长的) patterns can be observed in the population dynamics of species. For example, when a new species is introduced to an ecosystem, it may initially thrive and reproduce rapidly. However, as resources become limited and competition increases, the growth rate will decline, demonstrating logarithmic (对数增长的) characteristics. This understanding is crucial for conservation efforts and managing biodiversity.In conclusion, the term logarithmically (对数增长地) encompasses a wide array of applications across various fields, from mathematics and economics to ecology and technology. Recognizing how growth can occur logarithmically (对数增长地) allows us to better understand complex systems and make predictions about future trends. As we continue to explore the intricacies of growth in our world, the concept of logarithmic (对数增长的) growth will remain a vital tool for analysis and comprehension.

在数学领域，增长的概念可以通过多种方式进行理解。描述增长的最迷人的方法之一是通过对数的使用。当我们说某物以logarithmically（对数增长地）增长时，我们指的是一种特定类型的增长，其速率与值本身的对数成比例，而不是与值本身成比例。这意味着，随着数量的增加，增长速率会减小，形成一条起初快速上升但随后随时间趋于平缓的曲线。为了说明这一概念，可以考虑一个城市的人口增长的例子。在发展的早期阶段，一个城市可能由于移民、就业机会和改善的生活条件等因素经历快速的人口增长。这一初始激增可以被描述为指数增长，其中人口在短时间内大幅增加。然而，随着城市的发展并达到其承载能力，增长率开始减缓。在这一点上，人口增长可以被描述为logarithmic（对数增长的），反映出可供新居民使用的资源和空间的收益递减。此外，logarithmic（对数增长的）增长的想法并不仅限于人口。它也可以在技术采用中观察到。例如，当一款新小工具或软件推出时，早期采用者通常会迅速接受它，从而导致使用量急剧增加。然而，随着市场饱和和大多数潜在用户采用该技术，新增用户的增长率显著放缓。这种模式可以用logarithmic（对数增长的）函数建模，展示了创新如何随着时间的推移在一个群体中传播。在经济学中，logarithmic（对数增长的）增长的概念可以应用于分析企业如何扩展。一家初创公司可能在初期几年经历快速的收入增长，因为它占领市场份额并建立客户基础。然而，随着竞争加剧和市场饱和，增长率可能会停滞，导致收入随时间的推移呈现出logarithmic（对数增长的）趋势。这种理解帮助企业家和投资者做出关于未来增长战略和资源分配的明智决策。此外，在科学领域，尤其是生态学和环境研究中，可以在物种的种群动态中观察到logarithmic（对数增长的）模式。例如，当一种新物种被引入生态系统时，它可能最初繁荣并迅速繁殖。然而，随着资源变得有限和竞争加剧，增长率将下降，展示出logarithmic（对数增长的）特征。这种理解对于保护工作和管理生物多样性至关重要。总之，术语logarithmically（对数增长地）涵盖了各个领域的广泛应用，从数学和经济学到生态学和技术。认识到增长可以以logarithmically（对数增长地）发生使我们能够更好地理解复杂系统并对未来趋势做出预测。随着我们继续探索世界中增长的复杂性，logarithmic（对数增长的）增长的概念将仍然是分析和理解的重要工具。