How do you count rooted planar n n-ary trees with some number of leaves? For n = 2 n = 2 this puzzle leads to the Catalan numbers. These are so fascinating that the combinatorist Richard Stanley wrote ...

Background: Arthritis is the most disabling disease worldwide, and the presence of the disease usually greatly threatens the patient’s activities of daily living (ADL). Currently, there are a few ...

Design an algorithm and write code to serialize and deserialize a binary tree. Writing the tree to a file is called 'serialization' and reading back from the file to reconstruct the exact same binary ...

Abstract: Zernike radial polynomials (ZRP) play a significant role in application areas such as optics design, imaging systems, and image processing systems. Currently, there are two kinds of ...

This is a comprehensive Java implementation of my algorithm for rolling binary trees, which takes a binary tree as input and rolls it in linear time, as described in this paper. Common design patterns ...

Abstract: Though low earth orbit (LEO) satellite networks have superiorities in short delay, wide coverage and flexible networking, the end-to-end (E2E) transmission has been confronted with severe ...

Compilers often translate source code for a high-level language, such as C++, to object code for the current computer architecture, such as Intel x64. The object modules produced from multiple ...