Results 51 to 60 of about 13,771 (148)
The Granger–Johansen representation theorem for integrated time series on Banach space
Journal of Time Series Analysis, Volume 46, Issue 3, Page 432-457, May 2025.We prove an extended Granger–Johansen representation theorem (GJRT) for finite‐ or infinite‐order integrated autoregressive time series on Banach space. We assume only that the resolvent of the autoregressive polynomial for the series is analytic on and inside the unit circle except for an isolated singularity at unity.
Phil Howlett +4 more
wiley +1 more source
Autonomous Sensing Architected Materials
Advanced Functional Materials, Volume 35, Issue 11, March 11, 2025.This study introduces an experimentally informed predictive framework for autonomous sensing architected materials enabled by additive manufacturing, integrating theoretical and computational methods. By incorporating stress‐dependent electrical resistivity and accounting for material, geometric, and contact nonlinearities, the framework accurately ...
Mattia Utzeri +2 more
wiley +1 more source
A comparison of the Maclaurin and Chebyshev series in the computation of tan-1x
, 1993 This thesis presents a comparison of the MacLaurin and Chebyshev series in the computation of tan -1x in terms of the simplicity of the process of computation and the number of terms needed to achieve the desired level of accuracy.The power series ...
Lim, Marsha, Castro, Elizabeth
core
On a formula proposed by S. Ramanujan
, 1991 This paper contains a detailed discussion concerning the validity of ∫+∞0ø(x)⧸xxdx= ∑+∞k=−∞ø(k)⧸kk, which was proposed by S. Ramanujan in his second notebook.
Grosjean, C.C.
core +1 more source
The binomial series: Part 2 (MathsCasts)
, 2012 We extend the expansion of the nth power of a binomial and investigate the power series for the nth power of (1+x). For all n, Infinite Maclaurin series are obtained and the coefficients identified.
Stephen Bedding
core
, 2021 With increasing load and aging grid infrastructure, an accurate study of power flow is very important for operation and planning studies. The study involves a numerical calculation of unknown parameters, such as voltage magnitude, angle, net complex ...
Gupta, Nitin
core
Power series expansion of Wilf function
In the research, with aid of the Faà di Bruno formula, be virtue of several identities for the Bell polynomials of the second kind, with help of two combinatorial identities, by means of the (logarithmically) complete monotonicity of generating functions
Qi, Feng
core
Modified dispersion relations and a potential explanation of the EDGES anomaly. [PDF]
Eur Phys J C Part Fields, 2022 Das S +4 more
europepmc +1 more source
「７２の法則」の導出 : 複利で元利合計が２倍になる年数の目安を得る演習問題として
“The Law of 72” is deduced. “The Law of 72” reveals to us the years to receive interest equal to the amount of the principal deposit.
松浦, 利治
core
Prediction-based analysis on power consumption gap under long-term emergency: A case in China under COVID-19. [PDF]
Appl Energy, 2021 Huang L, Liao Q, Qiu R, Liang Y, Long Y.
europepmc +1 more source