The mathematician hopes this method will help students avoid memorizing obtuse formulas. His secret is in generalizing two roots together instead of keeping them as separate values. Quadratic ...

Here’s what you’ll learn when you read this story: A mathematician at Carnegie Mellon University has developed an easier way to solve quadratic equations. The mathematician hopes this method will help ...

Abstract: This article concentrates on the linear quadratic control of cyber-physical systems subject to denial-of-service attacks. A Stackelberg game framework is proposed to analyze the strategic ...

Abstract: In this study, we introduce numerical methods for discretizing continuous-time linear-quadratic optimal control problems (LQ-OCPs). The discretization of continuous-time LQ-OCPs is ...

This code collection implements the active vibration control of a cantilever beam by piezoceramic actuators and using linear quadratic (LQ) control. The example is coded in the ANSYS-specific APDL ...

The National Institute of Open Schooling (NIOS) has released the latest syllabus for class 10 for the academic year 2025-26.

Factorising is the reverse process of expanding brackets. A factorised answer will always contain a set of brackets. Factorise \(6x + 9\). To factorise this expression, look for the HCF of \(6x\)and 9 ...

Molecular Biology Techniques: DNA cloning – plasmid vectors, and restriction enzymes; Polymerase Chain Reaction; Expression of cloned eukaryotic genes in bacteria ... Logarithms; Complex numbers; ...