updates
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@@ -416,6 +416,18 @@ $$
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##### Example
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The following link shows how the perimeter of a complex figure relates to the perimeter of a circle:
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```{julia}
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#| echo: false
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tweet = """
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<blockquote class="twitter-tweet"><p lang="en" dir="ltr">How cookie cutters are made <a href="https://t.co/eumfwH4Ixl">pic.twitter.com/eumfwH4Ixl</a></p>— How Things Are Manufactured (@fastworkers6) <a href="https://twitter.com/fastworkers6/status/1556214840909111296?ref_src=twsrc%5Etfw">August 7, 2022</a></blockquote> <script async src="https://platform.twitter.com/widgets.js" charset="utf-8"></script>
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"""
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HTMLoutput(tweet)
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```
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##### Example
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A teacher of small children assigns his students the task of computing the length of a jump rope by counting the number of $1$-inch segments it is made of. He knows that if a student is accurate, no matter how fast or slow they count the answer will be the same. (That is, unless the student starts counting in the wrong direction by mistake). The teacher knows this, as he is certain that the length of curve is independent of its parameterization, as it is a property intrinsic to the curve.
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