NP-Incompleteness
The Riemann Zeta Function
25 Oct 2025
Bernhard Riemann was a German mathematician. He initially planned to study theology at the University of Göttingen, but switched to mathematics on advice of Carl Friedrich Gauss.
Among Riemann’s contributions is a rigorous formulation of the integral operator, known as the Riemann integral. In complex analysis, he’s also known for the Riemann surfaces and in number theory, for the Riemann zeta function and the Riemann hypothesis with connections to the distribution of prime numbers.
In this post we’ll study the Riemann zeta function and briefly mention the Riemann hypothesis.
Review: Systems Performance
10 Oct 2025
In this post I’ll share my notes on the book Systems Performance by Brendan Gregg.
In summary, this book covers major components of an operating system such as CPU, memory, disk and network and for each of them provides methodologies and tools for analyzing performance.
Customization Point Objects in C++
10 Sep 2025
In this post I’d like to share my notes on customization point objects (or CPOs) in C++. This is a mechanism that allows users of libraries to provide overloads for their custom types.
Hadamard Factorization Theorem
30 Aug 2025
Jacques Salomon Hadamard was a French mathematician. Among his contributions, Hadamard proved the prime number theorem and has his name on the Hadamard product (element-wise product of matrices) and the Hadamard matrices. Even though he didn’t work in quantum mechanics, Hadamard gates are also named after him because its matricial representation is a Hadamard matrix.
Being of Jewish descent, in 1941 Hadamard left France for the United States during the antisemitic Vichy government. He returned in 1945 after the end of World War II.
In this post I’d like to explore the Hadamard Factorization Theorem.
Horseshoe Theory
24 Aug 2025
According to Wikipedia [1], the horseshoe theory asserts that:
“The extreme left and the extreme right, rather than being at opposite and opposing ends of a linear political continuum, closely resemble each other, analogous to the way that the opposite ends of a horseshoe are close together.”
In this post I’d like to share some anectodes and thoughts on it.
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