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 ...

Now that we’re getting into more complex data structures, having more complex operations, it’s helpful to have a tool for visualization. Here’s a tool developed by David Galles, formerly of University ...

Abstract: Alphabetic codes and binary search trees are combinatorial structures that abstract search procedures in ordered sets endowed with probability distributions. In this paper, we design new ...

Following hotel openings in China, Japan and Thailand last year, Banyan Tree Group’s new minimalist brand Garrya continues its global expansion with the launch of Garrya Bianti Yogyakarta on Indonesia ...

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 ...