We find that scattering amplitudes in massive scalar QCD can manifest the duality between color and kinematics at loop-level. Specifically we construct one-loop integrands for four-point two distinct scalars, five-point process encoding first correction to with gluonic radiation. factorization color-kinematics are sufficient principles entirely bootstrap these calculations, allowing us all cont...

Background: Ganglion is a common cystic swelling around wrist presenting in outdoor department, clinical examination sufficient for making diagnosis of simple cyst, cosmesis and pain are main complain. Treatment includes aspiration with or without injections but has high recurrence rate, surgical excision low rate being invasive there numerous complications should be warrant depending on patien...

In this paper, we study one-loop contributions in the double-scaling limit of SYK model from chord diagrams and Liouville type effective action. We compute clarify meaning each component consisting corrections for two- time-ordered four-point functions light operators. also reproduce exact expression out-of-time-ordered function at arbitrary temperatures within level, which were previously comp...

In this paper, we study the problem of finding the shortest path in circulant graphs with an arbitrary number of jumps. We provide algorithms specifically tailored for weighted undirected and directed circulant graphs with two jumps which compute the shortest path. Our method only requires O(log N ) arithmetic operations and the total bit complexity is O(log2 N log log N log log log N ), where ...

This paper proposes a single stage solar power generation with boost dc-ac inverter by simple control technique. The boost dc-ac inverter converts and boosts a low output dc voltage of the solar pv array into a 220Vrms ac voltage at a fundamental frequency of 50Hz in single stage. A simple Modified Non-Linear State Variable Structure (MNLSVS) closed loop control technique is proposed to keep th...