https://tian-haozhang.github.io Tian-Hao Zhang (张天昊)'s personal website en Sun, 20 Sep 2026 13:31:54 +0000 https://tian-haozhang.github.io/Essay/2026-09-20-Cpp-gmf-th65/ https://tian-haozhang.github.io/Essay/2026-09-20-Cpp-gmf-th65/ Sun, 20 Sep 2026 00:00:00 +0000 Essay A simple geomagnetic field model (including contributions from the Earth's dipole, the effective mirror dipole and the cross-tail current) based on (with minor modifications) https://tian-haozhang.github.io/Essay/2026-08-18-Cpp-random-number-generator/ https://tian-haozhang.github.io/Essay/2026-08-18-Cpp-random-number-generator/ Tue, 18 Aug 2026 00:00:00 +0000 Essay An out-of-box header-only C++ random number generator class that can generate uniformly or normally distributed random numbers (integer or floating points), one at a single call; only the standard library is used. https://tian-haozhang.github.io/Essay/2026-06-10-quaternion-in-space-data-analysis/ https://tian-haozhang.github.io/Essay/2026-06-10-quaternion-in-space-data-analysis/ Wed, 10 Jun 2026 00:00:00 +0000 Essay 三维转动可以用四元数表示，卫星数据处理中用它来做坐标系旋转变换。 https://tian-haozhang.github.io/Essay/2026-06-07-saddle-point-method/ https://tian-haozhang.github.io/Essay/2026-06-07-saddle-point-method/ Sun, 07 Jun 2026 00:00:00 +0000 Essay Summary of the saddle point method. https://tian-haozhang.github.io/Essay/2026-04-08-relations-between-partition-functions/ https://tian-haozhang.github.io/Essay/2026-04-08-relations-between-partition-functions/ Wed, 08 Apr 2026 00:00:00 +0000 Essay 一个神奇的观察：不同配分函数之间通过通过（类） Laplace 变换相联系。 https://tian-haozhang.github.io/Essay/2026-02-15-monochromatic-plane-EM-waves/ https://tian-haozhang.github.io/Essay/2026-02-15-monochromatic-plane-EM-waves/ Sun, 15 Feb 2026 00:00:00 +0000 Essay Notes on the monochromatic plane wave and its polarization. https://tian-haozhang.github.io/Essay/2026-01-17-Cpp-rk4/ https://tian-haozhang.github.io/Essay/2026-01-17-Cpp-rk4/ Sat, 17 Jan 2026 00:00:00 +0000 Essay An out-of-box header-only C++ class implementing the 4th-order Runge-Kutta method for solving ordinary differential equations. https://tian-haozhang.github.io/Essay/2025-11-30-derivatives-of-integeration-regions/ https://tian-haozhang.github.io/Essay/2025-11-30-derivatives-of-integeration-regions/ Sun, 30 Nov 2025 00:00:00 +0000 Essay 通过将微分形式“拉回”处理积分区域的导数，并据此推导了连续介质力学中的连续性方程和磁冻结定理。 https://tian-haozhang.github.io/Essay/2025-10-30-example/ https://tian-haozhang.github.io/Essay/2025-10-30-example/ Thu, 30 Oct 2025 00:00:00 +0000 Essay An glance at the normal distribution, its properties, significance, and real-world applications across various fields. https://tian-haozhang.github.io/Blog/2025-04-16-monkeys-apes/ https://tian-haozhang.github.io/Blog/2025-04-16-monkeys-apes/ Wed, 16 Apr 2025 00:00:00 +0000 Blog Exploring the key differences between monkeys and apes, including physical traits, intelligence, and evolutionary relationships. https://tian-haozhang.github.io/Blog/2024-10-04-iterators-generators/ https://tian-haozhang.github.io/Blog/2024-10-04-iterators-generators/ Fri, 04 Oct 2024 00:00:00 +0000 Blog Understanding the differences between iterators and generators in Python, and when to use each.