algorithms math other personal technology
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Homework 10 Summary
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3 min read
Time Log 1. Summarize your activities, including new content created. Provide all the hyperlinks of new content. In this assignment, I created two new posts. The first post talks about the Japanese island of Aogashima and its unique that its inhabitants occupy. The second post covers the 10,000-year-old forest Pando that is actually a single…
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High in the mountains of central Utah stands what looks like a typical forest of quaking aspen. But appearances are deceiving. Known as Pando, this grove is not a forest of separate trees—it’s one single organism. Located within the Fishlake National Forest, Pando consists of roughly 47,000 genetically identical quaking aspen stems spread across about…
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In the Philippine Sea, about 350 kilometers south of Tokyo, the small Japanese island of Aogashima stands as one of the most unusual inhabited places on Earth. This tiny community is built inside the caldera of an active volcano. Aogashima is part of the Izu Islands, an archipelago formed by volcanic activity along the Pacific…
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Homework 9 Summary
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2 min read
Time Log 1. Summarize your activities, including new content created. Provide all the hyperlinks of new content. In this assignment, I created two new posts. The first post shows some pictures of my dog Senna. The second post explains and gives an example of proof by contraposition. In addition to the new posts/pages, I also…
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Proof by Contraposition
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2 min read
In mathematics, we often want to prove statements of the form P→QP\rightarrow Q, which reads “PP implies QQ.” Such a statement is true if QQ is true whenever PP is true, that is, when PP being true “forces” QQ to be true. An alternate but equivalent statement is the contrapositive ¬Q→¬P\neg Q\rightarrow \neg P, which…
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My Dog
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2 min read
In this post I just wanted to show some pictures of our dog Senna. She was born on April 30th 2025, and we took her home in late June. Seeing as it is now March, this means that she’s almost a year old now! This past year has been kind of a whirlwind, from the…
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Homework 8 Summary
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2 min read
Time Log 1. Summarize your activities, including new content created. Provide all the hyperlinks of new content. In this assignment, I created two new posts. The first post discusses a Leetcode problem and an interesting property of finite sequences that can be used to solve the problem. The second post shares 5 fun facts about…
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5 Moderately Interesting Facts About Watermelon
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2 min read
1. Watermelon Is Technically a Berry Botanically speaking, watermelon qualifies as a berry. It develops from a single flower with a single ovary, which places it in the same general category as grapes and tomatoes. 2. Watermelons Are About 92% Water As its name strongly implies, watermelon is mostly water—around 92% of it. Because of…
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Gas Station Problem
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5 min read
In this post,I’d like to share the proof of a property of finite sequences that popped up when I was solving the Gas Station Leetcode problem a while back. It’s one of those statements that feels like it should be true, but you just don’t know until you prove it. The Original Problem There are…
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Homework 7 Summary
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2 min read
Time Log 1. Summarize your activities, including new content created. Provide all the hyperlinks of new content. In this assignment, I created two new posts. The first post discusses Floyd’s cycle detection algorithm, which uses two pointers to detect a cycle in a linked list with only constant memory. The second post discusses the Boyer-Moore…