Articles — Page 4

Leetcode

two sum

Given an array of integers nums and an integer target, return indices of the two numbers such that they add up to target.

Coding

无名树

院角那株不知名的树,自漫长阴雨时节便浸在阴翳里。我总在窗前半掩着帘,看它瘦削的枝桠将天色裁成淡墨的写意,恍若故纸堆里褪了色的水墨小品。

随想 Reflections
Kelvin Wedge

Self Adjoint Operators

We consider the radial differential operator for a fixed angular mode \(n\), ∑ Formula

Mathematics
Kelvin Wedge

Azimuthal Fourier Analysis

We introduce azimuthal Fourier expansion for functions with circular symmetry: we write \(f(r, \phi)\) as a sum of angular modes ∑ Formula, where ∑ Formula is obtained by integrati…

Fluid Mechanics
Kelvin Wedge

Operator Ladder Relations for Hankel Transforms of Bessel Type

Hankel–Bessel Ladder Identities Claim. For suitable \(f_m(r)\) and \(k>0\), ∑ Formula Here ∑ Formula.

Fluid Mechanics
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