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Dual Investment: Where the Yield Comes From—and Who Bears the Risk

October 18, 2026 · 9 min read
Tutorial
Finance | Options

“If the price goes up, you earn USDT. If it goes down, you earn more crypto.”

It sounds as though you come out ahead whichever way the market moves. Add an advertised annualized return of several dozen percent—or more—and dual investment can look like a more productive alternative to simply holding crypto.

But there is a catch: owning more units of an asset does not necessarily mean your investment is worth more.

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Options 101: The Four Basic Positions Explained Through Gold

October 18, 2026 · 11 min read
Tutorial
Finance | Options

When you first encounter options, four terms come up again and again:

Buy a call. Sell a call. Buy a put. Sell a put.

These are not four unrelated strategies. They are combinations of two choices:

  • Are you trading a call or a put?
  • Are you buying it or selling it?

To understand these four basic positions, start with one idea: an option gives its buyer a right to transact in the future. Trading that right is different from buying or selling the asset itself.

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How Many Samples Does It Take to Trust a Batch?

October 12, 2026 · 7 min read
Tutorial
Statistics | Math

You have 1,000 items, but testing every one of them is expensive. How many should you randomly inspect: 10, 100, or half the batch?

There is no universal answer based on population size alone. As the NIST/SEMATECH e-Handbook explains[1], sample-size planning depends on the statistical objective and precision requirements. The useful question is: How many items do I need to estimate a proportion with a chosen level of precision? Under common assumptions, the answer is 278—not an arbitrary percentage of the batch.

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Fix the Ghost Notification of Github

October 13, 2025 · 1 min read
Tutorial
Git | Github

I ran into a stubborn GitHub notification blue dot that wouldn’t go away even though the Notifications page showed nothing. Here’s the quick, safe way I found to resolve it, plus a few alternatives and notes on why it happens.

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Disable SIP on Macos

October 12, 2025 · 1 min read
Tutorial
Macos

System Integrity Protection (SIP) is a security layer that limits even the root user from modifying protected parts of the system. Apple introduced it in OS X El Capitan to reduce the blast radius of malware and accidental system damage. In practice, SIP blocks writes to system locations, prevents runtime injection into protected processes, and restricts some kernel/system-level operations.

Sometimes I run a command and see ‘Operation not permitted’ despite sudo, SIP is often the reason. So I need to disable SIP temporarily.

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How to Partially Clone

August 21, 2025 · 0 min read
Tutorial
Git

Sometimes you encounter a large repository but only need a few directories from it. Cloning the entire repo wastes both time and disk space. Git’s sparse checkout solves this problem by letting you pull only the parts you need.

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