每个函数都有自己的图像,或简单或复杂,比如二维函数:y=x2y=x^2y=x2 的图像就为:
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或者说三维函数?
z=sin(x)cos(y)z=sin(x)cos(y)z=sin(x)cos(y) 的图像就为:
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那么 eiπe^{iπ}eiπ 呢?它也有函数图像,长这样:
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也就是说,函数有着独特的图像,那么是不是,把趋近无限的函数叠加起来,就能变成或还原一幅图呢?
请看 VCR:VCR:VCR:
原图:
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从25个函数叠加到3600个函数叠加:
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那么叠加 256×256256×256256×256 个函数呢?
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可以看到,当叠加了 256∗256=65536256*256=65536256∗256=65536 个函数时,已经与原图十分相像了。(至于不再叠加下去我怕我的电脑会被别人拿去烤肉)
这是有人就会说了:欸,谁知道你是不是只是把图像模糊化了呢?
请看我所列举的65536个函数:
第501-1000
第1001-1500
代码
注:代码要先下载 matplotlib.pyplot