Results 41 to 50 of about 2,364,878 (144)
International Journal for Numerical Methods in Engineering, Volume 127, Issue 18, 30 September 2026.ABSTRACT Preparing quantum states with desired amplitude distributions is a key bottleneck in the implementation of quantum linear and nonlinear dynamics solvers, including Linear Combination of Hamiltonian Simulation (LCHS) and Schrödingerization. We present a direct, closed‐form construction of Quantized Tensor Train (QTT) representations for two ...
Katsuhiro Endo, Kazuaki Z. Takahashi
wiley +1 more source
Gaussian Integer Sequences with Ideal Periodic Autocorrelation Functions
, 2013 A Gaussian integer is a complex number whose real and imaginary parts are both integers. Meanwhile, a sequence is defined as perfect if and only if the out-of-phase value of the periodic autocorrelation function is equal to zero.
Hu, Wei-Wen
core
Mathematical Methods in the Applied Sciences, Volume 49, Issue 13, Page 14964-15009, 15 September 2026.ABSTRACT We develop a unified mathematical framework extending classical moment theory from discrete integer orders to a continuous spectrum of real orders f>0$$ f>0 $$, providing a systematic statistical characterization of complex systems exhibiting power‐law behavior.
Farrukh A. Chishtie
wiley +1 more source
, 2015 A Gaussian integer is a complex number whose real and imaginary parts are both integers. A sequence is defined as perfect if and only if it has an ideal periodic auto-correlation function.
Huang, Guo-min
core
On perfect totient numbers [PDF]
, 2003 Let n > 2 be a positive integer and let φ denote Euler's totient function. Define φ1(n) = φ(n) and φk(n) = φ(φk-1(n)) for all integers k ≥ 2. Define the arithmetic function S by S(n) = φ(n) + φ2(n) +...+ φc(n) + 1, where φc(n) = 2.
Deng Moujie +5 more
core
Mean anisotropy of homogeneous Gaussian random fields and anisotropic norms of linear translation-invariant operators on multidimensional integer lattices [PDF]
, 2012 Sensitivity of output of a linear operator to its input can be quantified in various ways. In Control Theory, the input is usually interpreted as disturbance and the output is to be minimized in some sense.
Diamond, Phil +2 more
core +1 more source
Microring Resonator Dispersion Metrology With Neural Networks
Nanophotonics, Volume 15, Issue 17, 11 September 2026.We present a machine learning framework for inverse and forward characterization of microring resonators, inferring geometry and material dispersion from sparse spectral data. The approach achieves nanometer‐scale accuracy and > 99% material identification, while reconstructing full dispersion spectra.
Ergun Simsek +3 more
wiley +1 more source
Advanced Science, Volume 13, Issue 51, 14 September 2026.SPADE integrates spatial transcriptomics with single‐cell RNA sequencing by using cell–cell communications (CCC) as a guide for spatial mapping. It improves cell‐type localization, enhances sparse gene‐expression signals, and reveals CCC programs at single‐spot resolution.
Xinyi Li, Ning Zhang, Zijie Jin
wiley +1 more source
Algorithm for Gaussian Integer Exponentiation
, 2016 In this paper we introduce a novel algorithm for Gaussian integer exponentiation that significantly improves its performance. We compare the performance of Gaussian integer exponentiation (using new and existing algorithms) to real integer exponentiation
Aleksey Koval, Koval, Aleksey
core +1 more source
Causal‐Guided Ultra‐Long‐Term Time Series Forecasting Via Anticipated Covariates
Advanced Science, Volume 13, Issue 51, 14 September 2026.Often treated as unknown, information from the future remains underutilized.We demonstrate that in a coupled dynamical system, providing the future state of the effect enables accurate forecasting of the cause for a long timesteps. A time series forecasting paradigm that introduces anticipated covariates to represent such known future states is ...
Jintong Zhao +4 more
wiley +1 more source