Results 121 to 130 of about 610,690 (303)

Procepts and proceptual solutions in undergraduate mathematics

Pythagoras, 2010
This paper explores and promotes the notion of ‘procept’ in an undergraduate mathematics course in Linear Algebra for first year pure and engineering students.
Inderasan Naidoo, Belinda Huntley
doaj   +1 more source

Quantum Iterative Methods for Solving Differential Equations with Application to Computational Fluid Dynamics

Advanced Quantum Technologies, EarlyView.
Quantum algorithms for differential equations are developed with applications in computational fluid dynamics. The methods follow an iterative simulation framework, implementing Jacobi and Gauss–Seidel schemes on quantum registers through linear combinations of unitaries.
Chelsea A. Williams, Antonio A. Gentile, Vincent E. Elfving, Daniel Berger, Oleksandr Kyriienko   +4 more
wiley   +1 more source

Entanglement Swapping for Partially Entangled Qudits and the Role of Quantum Complementarity

Advanced Quantum Technologies, EarlyView.
The entanglement swapping protocol is extended to partially entangled qudit states and analyzed through complete complementarity relations. Analytical bounds on the average distributed entanglement are established, showing how the initial local predictability and entanglement constrain the operational distribution.
Diego S. Starke, Marcos L. W. Basso, Lucas C. Céleri, Jonas Maziero   +3 more
wiley   +1 more source

First order linear ordinary differential equations in associative algebras

Electronic Journal of Differential Equations, 2004
In this paper, we study the linear differential equation $$ frac{dx}{dt}=sum_{i=1}^n a_i(t) x b_i(t) + f(t) $$ in an associative but non-commutative algebra $mathcal{A}$, where the $b_i(t)$ form a set of commuting $mathcal{A}$-valued functions expressed ...
Gordon Erlebacher, Garrret E. Sobczyk
doaj  

Digital Twin Simulations Toolbox of the Nitrogen‐Vacancy Center in Diamond

Advanced Quantum Technologies, EarlyView.
The Nitrogen‐vacancy (NV) center in diamond is a key platform within quantum technologies. This work introduces a Python based digital‐twin of the NV, where the spin dynamics of the system is simulated without relying on commonly used approximations, such as the adoption of rotating frame. The digital‐twin is validated through three different examples,
Lucas Tsunaki, Anmol Singh, Sergei Trofimov, Boris Naydenov   +3 more
wiley   +1 more source

Teaching Linear Algebra to Engineering Students in Two Different Educational Settings:

Nordic Journal of STEM Education
The present paper holds a twofold perspective on a new teaching format in a linear algebra course given to engineering students. The design resembles the flipped classroom, but with various adjustments.
Ragnhild Johanne Rensaa
doaj  

Dynamical Basis Theory: Linear-Algebraic Foundations and Quantum Applications Resolving Kochen-Specker Paradox

For praising Yaohushua do I hereby politely correct the misconceptions presented in Kochen-Specker paradoxes and other misunderstandings in quantum mechanics! Defeating errors one misonception at a time~! We present a unified framework for Dynamical Basis Theory (DBT), revolutionizing linear algebra through geometry-aware basis constructions.
openaire   +1 more source

Optimal Homogeneous ℒp$$ {\boldsymbol{\mathcal{L}}}_{\boldsymbol{p}} $$‐Gain Controller

International Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT Nonlinear ℋ∞$$ {\mathscr{H}}_{\infty } $$‐controllers are designed for arbitrarily weighted, continuous homogeneous systems with a focus on systems affine in the control input. Based on the homogeneous ℒp$$ {\mathcal{L}}_p $$‐norm, the input–output behavior is quantified in terms of the homogeneous ℒp$$ {\mathcal{L}}_p $$‐gain as a ...
Daipeng Zhang, Benjamin Calmbach, Jaime A. Moreno, Johann Reger   +3 more
wiley   +1 more source

A novel linear algebra-based method for complex interval linear systems in circuit analysis

Heliyon
In this paper, systems of multivariate interval linear equations with complex interval coefficients are examined, and a novel linear algebra-based approach for locating all of their solutions is proposed.
Maryam Farahmand Nejad, Hamed Farahani, Rahele Nuraei   +2 more
doaj   +1 more source

The role of identification in data‐driven policy iteration: A system theoretic study

International Journal of Robust and Nonlinear Control, EarlyView.
Abstract The goal of this article is to study fundamental mechanisms behind so‐called indirect and direct data‐driven control for unknown systems. Specifically, we consider policy iteration applied to the linear quadratic regulator problem. Two iterative procedures, where data collected from the system are repeatedly used to compute new estimates of ...
Bowen Song, Andrea Iannelli
wiley   +1 more source