The von Mises–Fisher distribution (vMF) distribution is often regarded as the hyperspherical analogue of the Normal distribution, as it models data concentrated around a mean direction on the unit hypersphere.

Linearity requires additivity and scaling, but neural networks need nonlinearity to break free from simple affine transformations. While affine layers only stretch and rotate data without changing its topology, activation functions enable complex reshaping—allowing networks to untangle data manifolds and learn intricate patterns effectively.

Stirling's formula finds a relationship of n!,nⁿ,eⁿ while n trends to infinity.

Many software engineer and programmers always plumb into a dilemma: they are complacent about technology details they comprehend. And little did they know there are almost nothing have to do with code in life.

2025 年研招已经落幕，考上了，但似乎也并没有那么开心。日后，救赎之道仍待探索，毕竟，人生是旷野嘛。