1. (a,b)-Trees As we saw in the previous section, the efficiency of standard operations on binary search trees depends on the maximum tree height. Using height balancing, we ensure that trees cannot degenerate linearly but instead have logarithmic height. Let us extend this approach to more general trees. Motivation: assume tree nodes are stored in secondary storage (hard disk). Comparisons of ...

The Kauffman bracket skein algebra is a quantization of the regular functions on $${\textit{SL}}_2$$ character variety topological surface. We realize 4-punctured sphere as output mirror symmetry construction based higher genus Gromov–Witten theory and applied to complex cubic Using this result, we prove positivity structure constants bracelets basis for algebras 1-punctured torus. This connect...

Ceramic brackets have gained widespread acceptance in orthodontic treatment due to their superior aesthetic appeal. The immediate popularity of these brackets, after their initial marketing, was tempered by their potential to damage the enamel during debonding. This paper describes the design and development of a ceramic bracket that addresses the failings of most ceramic brackets on the market...

A simulated cricket batting innings was developed to replicate the physical demands of scoring a century during One-Day International cricket. The simulated innings requires running-between-the-wickets across six 5-over stages, each of 21 min duration. To validate whether the simulated batting innings is reflective of One-Day International batting, movement patterns were collected using a globa...

  Objective: Corrosion resistance is among the most important properties of metal alloys used in the oral cavity. Consumption of acidic foods reduces the salivary pH and intensifies the corrosion of brackets and orthodontic wires. This study aimed to compare electro galvanic corrosion of different orthodontic brackets and wires and determine the amount of ions released into acidic artifici...

We study the holomorphic twist of 3d $$\mathcal{N}=2$$ gauge theories in presence boundaries, and algebraic structure bulk boundary local operators. In twist, both operators form chiral algebras (a.k.a. vertex algebras). The algebra is commutative, endowed with a shifted Poisson bracket “higher” stress tensor; while module for bulk, may not be or have tensor. explicitly construct free Landau–Gi...