exponential

exponential的音标是[ˌekspəˈnəʊʃ(ə)l]，基本翻译是“指数的；幂的；指数增长的”，速记技巧是：exponent-exp，-ial形容词后缀。

Exponential这个词源自拉丁语，意为“指数的”或“指数函数的”。它的变化形式包括名词exponent（指数）和exponential（指数的），形容词exponential（指数的）和动词exponentialize（使指数化）。

相关单词：

1. Exponential growth（指数增长）: 描述一个事物以指数形式快速增加，比如人口、网络流量等。

2. Exponential decay（指数衰减）: 描述一个事物以指数形式逐渐减少，比如放射性物质的衰变。

3. Exponential function（指数函数）: 描述一个变量随另一个变量指数变化的函数。

4. Exponential rate（指数率）: 描述一个变量随时间或空间变化的速率，通常用指数函数来表达。

5. Exponential map（指数映射）: 在数学中，指数映射是一种特殊的映射，它把输入映射到输入的某个特定次幂。

6. Exponentiation（乘方）: 乘方运算就是指数为1的乘法运算，也就是指数函数的逆运算。

7. Exponential growth rate（增长率）: 描述一个系统或过程在一段时间内增长的速度，通常用指数增长来描述。

8. Exponential decay rate（衰减率）: 描述一个衰减过程的速度，通常用指数衰减来描述。

9. Exponential expansion（指数扩张）: 描述一个系统或物体以指数形式扩张或增长的过程。

10. Exponential decay rate in radioactivity（放射性物质的指数衰减速率）: 描述放射性物质衰变过程中衰减速度的术语。

常用短语：

1. exponential growth 指数增长

2. exponential decay 指数衰减

3. exponential function 指数函数

4. exponential rate 指数率

5. base-exponential equation 基指数方程

6. power law exponential 幂率指数函数

7. exponential rate of change 指数变化率

例句：

1. The number of online users is growing exponentially, leading to a surge in demand for bandwidth.

2. The decay of radioactive substances follows an exponential curve.

3. The graph of an exponential function looks like a stretched line.

4. The rate of inflation is expected to increase exponentially in the coming years.

5. The base-exponential equation y = exx is used in physics and engineering to model certain phenomena.

6. The exponential rate of change in the price of oil has a significant impact on the global economy.

英文小作文：

Exponential Change: The Future Is Unpredictable

In today"s fast-paced world, exponential change is a constant presence, shaping our lives in ways we cannot predict or prepare for. From technology to environmental issues, exponential growth and decay are affecting every aspect of our world, making the future an unpredictable and exciting place to be.

Take the field of artificial intelligence, for example. With each passing day, we see new breakthroughs in machine learning and AI, leading to exponential progress in areas such as speech recognition, image recognition, and natural language processing. These advances have the potential to revolutionize many industries, from healthcare to transportation to education.

Similarly, the field of climate science is facing an exponential rise in environmental issues such as climate change and pollution. With each passing year, we see more evidence of the impact of human activity on the planet"s ecosystems, leading to concerns about our future and the need for urgent action.

Exponential change can be both a challenge and an opportunity. It requires us to be adaptable and willing to embrace change, while also being aware of the impact we are having on our environment and on others. With proper planning and foresight, we can embrace this change and use it as an opportunity to create a better future for ourselves and for future generations.