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Fractals vs Self-similar
Fractals vs Self-similar วานเพื่อนแจง แตกต่าง สองเรื่องนี้ ช่วยง่ายที ที่ซึ้ง ถึงพื้นฐาน รีบรีบตอบ อย่าได้ ให้คอยนาน ดำเนินการ พร้อมยก ตัวอย่างแสดง |
In mathematics, a fractal is a self-similar subset of Euclidean space whose fractal dimension strictly exceeds its topological dimension. Fractals appear the same at different levels, as illustrated in successive magnifications of the Mandelbrot set.[1][2][3][4] Fractals exhibit similar patterns at increasingly small scales called self-similarity, also known as expanding symmetry or unfolding symmetry; if this replication is exactly the same at every scale, as in the Menger sponge,[5] it is called affine self-similar. Wiki |
In mathematics, a self-similar object is exactly or approximately similar to a part of itself (i.e., the whole has the same shape as one or more of the parts). Many objects in the real world, such as coastlines, are statistically self-similar: parts of them show the same statistical properties at many scales.[2] Self-similarity is a typical property of fractals. Scale invariance is an exact form of self-similarity where at any magnification there is a smaller piece of the object that is similar to the whole. Wiki |
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