Abstract: In this study, a standardized controller design and analytical framework is put forward for nonlinear systems that meet the requirements within the framework of full-form iterative dynamic ...

Abstract: This letter explores the integration of Carleman linearization and quantum annealing to solve nonlinear ordinary differential equations (ODEs) under the Chebyshev spectral method. Using ...

If you enjoyed this article, I’d like to ask for your support. Scientific American has served as an advocate for science and industry for 180 years, and right now may be the most critical moment in ...

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Genome-wide association studies of very common variants have neither identified associations that explain a large portion of the heritability for most traits studied nor identified the causal variants ...

Electrical and electronic engineering is the branch of engineering that makes use of electricity. Electrical engineering concentrates on systems for generating and transmitting large electrical ...

A financial “security” is nothing more than a claim on some stream of cash flows that investors expect to be delivered into their hands in the future. From our simple example, it’s already clear that ...

从数学角度看，重新缩放可被视为一种基于谱半径约束的正则化技术。在 Carleman 线性化矩阵 A 的谱分布较宽时，直接求解会导致系统能量在演化中失衡。微算法科技通过对 A 进行谱半径归一化，使得其主导特征值控制在单位圆内，确保系统的全局稳定性。这种缩放机制使得算法的整体复杂度从原本的 O (exp (N)) 降至 O (poly (N))，从根本上突破了传统 Carleman 方法的瓶颈。