
Fractal
“Fractal”是一个名词和形容词,在不同的上下文中有不同的含义。作为名词,它通常指代分形几何中的一种结构,具有自相似性;作为形容词,它描述了与这种自相似结构相关的性质或特征。
词语辨析
名词:“fractal”指代一种分形结构,通常用于数学和自然科学。
形容词:“fractal”用来描述具有自相似特征的物体或现象,如“fractal geometry”。
词汇扩充
Fractals in nature: 自然界中的分形
Fractal patterns: 分形图案
Fractal dimension: 分形维度
近义词
Self-similar: 自相似的
Complex: 复杂的
反义词
Simplistic: 过于简单的
Linear: 线性的
柯林斯词典定义
A fractal is a mathematical curve or object that is divided into parts, each of which is a reduced-scale copy of the whole.
牛津词典定义
A fractal is a geometric figure, each part of which has the same statistical character as the whole. Fractals are often found in nature.
用法
Fractal patterns can be observed in clouds and mountains.
在云朵和山脉中可以观察到分形图案。
The concept of fractal geometry was popularized by mathematician Benoit Mandelbrot.
分形几何的概念是由数学家贝诺特·曼德布罗特推广的。
Artists often use fractal designs in their work to create visually stunning effects.
艺术家经常在他们的作品中使用分形设计来创造视觉上令人惊艳的效果。
Fractals are used in computer graphics to create realistic landscapes.
分形被用于计算机图形学中,以创建逼真的景观。
The fractal nature of some coastlines makes them difficult to measure.
一些海岸线的分形特性使得它们难以测量。
In mathematics, the fractal dimension can provide insights into the complexity of shapes.
在数学中,分形维度可以提供对形状复杂性的洞见。
Fractal analysis is used in finance to study market trends.
分形分析被用于金融领域研究市场趋势。
The self-similar property of fractals is fascinating to mathematicians.
分形的自相似特性令数学家们着迷。
Fractal patterns are often seen in plants like ferns and broccoli.
在植物中,如蕨类植物和西兰花,常常可以看到分形图案。
Many natural phenomena exhibit fractal characteristics.
许多自然现象表现出分形特征。
The complexity of fractals can be both beautiful and perplexing.
分形的复杂性既美丽又令人困惑。
Understanding fractals can help improve modeling techniques in various sciences.
理解分形可以帮助改善各科学中的建模技术。
Fractals are often used in data compression algorithms.
分形常用于数据压缩算法中。
The concept of fractals has been applied in medicine to model biological systems.
分形的概念已被应用于医学,以建模生物系统。
Artists use fractals to create digital art that captivates viewers.
艺术家使用分形来创作吸引观众的数字艺术。
The visual representation of fractals can be mesmerizing.
分形的视觉表现可以令人着迷。
Fractal analysis can reveal patterns in chaotic systems.
分形分析可以揭示混沌系统中的模式。
Exploring fractals can lead to a deeper understanding of mathematical concepts.
探索分形可以加深对数学概念的理解。