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Numerical simulation of financial fluctuation period based on non-linear equation of motion

The traditional numerical simulation method of financial fluctuation cycle does not focus on the study of non-linear financial fluctuation but has problems such as high numerical simulation error and long time. To solve this problem, this paper introduces the non-linear equation of motion to optimise the numerical simulation method of financial fluctuation cycle. A comprehensive analysis of the components of the financial market, the establishment of a financial market network model and the acquisition of relevant financial data under the support of the model. Based on the collection of financial data, set up financial volatility index, measuring cycle, the financial wobbles, to establish the non-linear equations of motion, the financial wobbles, the influence factors of the financial volatility cycle as variables in the equation of motion, through the analysis of different influence factors under the action of financial volatility cycle change rule, it is concluded that the final financial fluctuation cycle, the results of numerical simulation. The simulation results show that, compared with the traditional method, the numerical simulation of the proposed method has high precision, low error and short time, which provides relatively accurate reference data for the stable development of regional economy.




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Bridging the Gap between the Science Curriculum and Students’ Questions: Comparing Linear vs. Hypermedia Online Learning Environments




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Data Quality in Linear Regression Models: Effect of Errors in Test Data and Errors in Training Data on Predictive Accuracy




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Linear Wood Ceiling Panels and Grilles

The company is expanding its line of wood ceiling options with its new Linear Wood Ceiling Panels and Grilles.




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LED linear fixtures

Vigilant and SafeSite Low Profile/Top Conduit LED Linear fixtures feature an industry-leading 10-year warranty.




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Seed layer formation by deposition of micro-crystallites on a revolving substrate: modeling of the effective linear elastic, piezoelectric, and dielectric coefficients

The rotating substrate method of crystallite deposition is modeled, allowing computation of effective material coefficients of the layers resulting from the averaging. A worked numerical example particularized to 6mm ZnO is provided.




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Symmetries and symmetry-generated averages of elastic constants up to the sixth order of nonlinearity for all crystal classes, isotropy and transverse isotropy

Algebraic expressions for averaging linear and nonlinear stiffness tensors from general anisotropy to different effective symmetries (11 Laue classes elastically representing all 32 crystal classes, and two non-crystalline symmetries: isotropic and cylindrical) have been derived by automatic symbolic computations of the arithmetic mean over the set of rotational transforms determining a given symmetry. This approach generalizes the Voigt average to nonlinear constants and desired approximate symmetries other than isotropic, which can be useful for a description of textured polycrystals and rocks preserving some symmetry aspects. Low-symmetry averages have been used to derive averages of higher symmetry to speed up computations. Relationships between the elastic constants of each symmetry have been deduced from their corresponding averages by resolving the rank-deficient system of linear equations. Isotropy has also been considered in terms of generalized Lamé constants. The results are published in the form of appendices in the supporting information for this article and have been deposited in the Mendeley database.




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An active piezoelectric plane X-ray focusing mirror with a linearly changing thickness

X-ray mirrors for synchrotron radiation are often bent into a curved figure and work under grazing-incidence conditions due to the strong penetrating nature of X-rays to most materials. Mirrors of different cross sections have been recommended to reduce the mirror's slope inaccuracy and clamping difficulty in order to overcome mechanical tolerances. With the development of hard X-ray focusing, it is difficult to meet the needs of focusing mirrors with small slope error with the existing mirror processing technology. Deformable mirrors are adaptive optics that can produce a flexible surface figure. A method of using a deformable mirror as a phase compensator is described to enhance the focusing performance of an X-ray mirror. This paper presents an active piezoelectric plane X-ray focusing mirror with a linearly changing thickness that has the ability of phase compensation while focusing X-rays. Benefiting from its special structural design, the mirror can realize flexible focusing at different focusing geometries using a single input driving voltage. A prototype was used to measure its performance under one-dimension and two-dimension conditions. The results prove that, even at a bending magnet beamline, the mirror can easily achieve a single-micrometre focusing without a complicated bending mechanism or high-precision surface processing. It is hoped that this kind of deformable mirror will have a wide and flexible application in the synchrotron radiation field.




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Nonlinear optimization for a low-emittance storage ring

A multi-objective genetic algorithm (MOGA) is a powerful global optimization tool, but its results are considerably affected by the crossover parameter ηc. Finding an appropriate ηc demands too much computing time because MOGA needs be run several times in order to find a good ηc. In this paper, a self-adaptive crossover parameter is introduced in a strategy to adopt a new ηc for every generation while running MOGA. This new scheme has also been adopted for a multi-generation Gaussian process optimization (MGGPO) when producing trial solutions. Compared with the existing MGGPO and MOGA, the MGGPO and MOGA with the new strategy show better performance in nonlinear optimization for the design of low-emittance storage rings.




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Linear shower drain systems help deliver project on schedule

The new Market District Apartments in Ohio City will be located near the historic West Side Market, the oldest operating indoor/outdoor market space in Cleveland. Currently, the 13-story development is the largest sustainable, wood-constructed building in the country. Among other facilities, the new 385-unit structure encompasses a first-floor retail space, residential suites on floors two through seven and luxury penthouse suites on the ninth floor, as well as amenity space, including a large rental hall.




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Introducing the GK-F16 LED Linear Foldable Design Panel Light: The Future of Energy-Efficient Lighting

Engineered to deliver unparalleled energy efficiency and versatility, the GK-F16 is set to revolutionize lighting solutions for a variety of large-scale environments such as warehouses, supermarkets, and stadiums.




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Using Simple Linear Regression For Instrument Calibration?

Measurement devices must be calibrated regularly to ensure they perform their jobs properly. While calibration covers a wide range of applications and scenarios, the goal is simple: ensure your device is measuring to your standards.




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White Paper: An Alternative to LVDTs = Lab Quality Linear Measurement Capabilities + Superior Industrial Gauging Performance

SMAC electric gage actuators provide gaging solutions with consistent, fast and precise control of the process.




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Invi Air: Linear Air Diffuser

Using a smart composite material instead of traditional aluminum, Invi Air's diffusers reduce condensation by up to 95%, leading to improved HVAC system efficiency and long-term durability.




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The Linear Path

Kirt Linington didn’t follow a straight line to success in the roofing industry, and he’s sharing his insights with entrepreneurs everywhere.




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Linear circuit transfer functions : an introduction to fast analytical techniques

Location: Electronic Resource- 




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Nonlinear optical cavity dynamics : from microresonators to fiber lasers

Location: Engineering Library- TA1522.N66 2016




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Toward consistent design evaluation of nuclear power piping by nonlinear finite element analysis

Location: Engineering Library- TK9211.7.Z46 2015




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Error analysis of second-order local time integration methods for discontinuous Galerkin discretizations of linear wave equations

Constantin Carle and Marlis Hochbruck
Math. Comp. 93 (), 2611-2641.
Abstract, references and article information





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Blow-up solutions of fractional diffusion equations with an exponential nonlinearity

Anh Tuan Nguyen, Tómas Caraballo and Nguyen Huy Tuan
Proc. Amer. Math. Soc. 152 (), 5175-5189.
Abstract, references and article information




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Algebraic solutions of linear differential equations: An arithmetic approach

Alin Bostan, Xavier Caruso and Julien Roques
Bull. Amer. Math. Soc. 61 (), 609-658.
Abstract, references and article information




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Improved functions for nonlinear sequence comparison using SEEKR [ARTICLE]

SEquence Evaluation through k-mer Representation (SEEKR) is a method of sequence comparison that uses sequence substrings called k-mers to quantify the nonlinear similarity between nucleic acid species. We describe the development of new functions within SEEKR that enable end-users to estimate P-values that ascribe statistical significance to SEEKR-derived similarities, as well as visualize different aspects of k-mer similarity. We apply the new functions to identify chromatin-enriched lncRNAs that contain XIST-like sequence features, and we demonstrate the utility of applying SEEKR on lncRNA fragments to identify potential RNA-protein interaction domains. We also highlight ways in which SEEKR can be applied to augment studies of lncRNA conservation, and we outline the best practice of visualizing RNA-seq read density to evaluate support for lncRNA annotations before their in-depth study in cell types of interest.




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Baldur’s Gate 3's reactivity didn’t ruin Veilguard's linearity for me - it let me enjoy it more

Minor spoilers for the first few hours of Veilguard and heavy spoilers for Baldur’s Gate 3

For all the things I ended up enjoying about Dragon Age: The Veilguard, it isn’t much of an RPG. What little roleplaying it does offer revolves around what flavour of supportive hero you prefer, and you can count the number of impactful dialogue decisions on a three-fingered hand. This might sound utterly damning in the wake of Baldur's Gate 3’s incredible reactivity, and if I approached games as some sort of tedious comparative intellectual exercise rather than just, y’know, seeing how I felt about them, then I suppose it would be. Weirdly, though, the recent memory of Baldur’s Gate 3 didn’t diminish my time with Veilguard at all. It was actually the opposite: it freed Dragon Age from having to carry the torch for a certain period in Bioware’s history, and let me enjoy Veilguard for what it was.

Read more




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Spatial Dependence, Nonlinear Panel Models, and More New Features in SAS/ETS 14.1

This paper highlights the many enhancements to SAS/ETS software and demonstrates how these features can help your organization increase revenue and enhance productivity.




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SAS Samples62362: Estimate and test differences, ratios, contrasts, or other functions of means in generalized linear models




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Linear ether-based highly concentrated electrolytes for Li–sulfur batteries

Faraday Discuss., 2024, 253,385-406
DOI: 10.1039/D4FD00024B, Paper
Toru Ishikawa, Shohei Haga, Keisuke Shigenobu, Taku Sudoh, Seiji Tsuzuki, Wataru Shinoda, Kaoru Dokko, Masayoshi Watanabe, Kazuhide Ueno
Linear ether-based electrolytes show low solubility of the sulfur species, stability towards Li metal and polysulfide nucleophiles. Li–S cells using the lightweight electrolyte demonstrated an energy density exceeding 300 W h kg−1.
The content of this RSS Feed (c) The Royal Society of Chemistry




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Spinless formulation of linearized adiabatic connection approximation and its comparison with second order N-electron valence state perturbation theory

Faraday Discuss., 2024, Accepted Manuscript
DOI: 10.1039/D4FD00054D, Paper
Yang Guo, Katarzyna Pernal
The adiabatic connection (AC) approximation, along with its linearized variant AC0, was introduced as a method of obtaining dynamic correlation energy. When using a complete active space self-consistent field (CASSCF)...
The content of this RSS Feed (c) The Royal Society of Chemistry




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Water-stable zero-dimensional hybrid zinc halide modulated by π–π interactions: efficient blue light emission and third-order nonlinear optical response

Inorg. Chem. Front., 2024, Advance Article
DOI: 10.1039/D4QI02194K, Research Article
Jia-Wei Li, Wenke Dong, Yanjie Liu, Yuhan Li, Lu-Yuan Qiao, Guang-Lu Liu, Hui Zhang, Chunjie Wang, Hui-Li Zheng, Jian-Qiang Zhao
Waterproof 0D hybrid Zn halide with highly efficient blue emission and third-order nonlinear optical response was constructed by the microregulating of π–π interactions, offering new insights for designing stable multifunctional halide materials.
To cite this article before page numbers are assigned, use the DOI form of citation above.
The content of this RSS Feed (c) The Royal Society of Chemistry




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Equivalent cation-tuning to realize a new Ce(IV) fluoride with excellent comprehensive nonlinear optical performances

Inorg. Chem. Front., 2024, 11,8130-8138
DOI: 10.1039/D4QI02088J, Research Article
Bei-Bei Zhang, Wen-Ye Gao, Wei Xu, Liang Ma, Wenlong Liu, Ru-Ling Tang, Sheng-Ping Guo
The acentric Ce(IV) fluoride NH4Ce3F13 is systematically studied, exhibiting the strong SHG effect (1.2 × KDP) and high LIDTs (39 × AGS). It also possesses the largest band gap among NLO materials containing Ce(IV).
The content of this RSS Feed (c) The Royal Society of Chemistry




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Shooting short-wavelength nonlinear optical materials with targeted balance performances in hydroxyborates through first-principles high-throughput screening

Inorg. Chem. Front., 2024, 11,7843-7852
DOI: 10.1039/D4QI02234C, Research Article
Chenxu Li, Abudukadi Tudi, Huanhuan Cheng, Qingyu Liu, Zhihua Yang, Shilie Pan
High-throughput screening of 222 hydroxyborates identified three as promising short-wavelength ultraviolet nonlinear optical. with phase-matching second harmonic generation capacity extending to the solar blind region (200–280 nm).
The content of this RSS Feed (c) The Royal Society of Chemistry




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Correction: BaSc2(HPO3)4(H2O)2: a new nonlinear optical phosphite exhibiting a 3D {[Sc2(HPO3)4]2−}∞ anionic framework and phase-matchable SHG effect

Inorg. Chem. Front., 2024, 11,8146-8146
DOI: 10.1039/D4QI90072C, Correction
Open Access
  This article is licensed under a Creative Commons Attribution 3.0 Unported Licence.
Ru-Ling Tang, Gang-Xiang Liu, Wen-Dong Yao, Li-Nan Zhang, Wenlong Liu, Sheng-Ping Guo
The content of this RSS Feed (c) The Royal Society of Chemistry




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Linear scaling relationships in homogeneous photoredox catalysis

React. Chem. Eng., 2024, Advance Article
DOI: 10.1039/D4RE00419A, Communication
Kareesa J. Kron, Shaama Mallikarjun Sharada
In the photoredox catalytic cycle of CO2 reduction with organic chromophores, this work observes a linear relationship between the energies of (desirable) electron transfer to CO2 and (undesirable) carboxylation of the chromophore radical anion.
To cite this article before page numbers are assigned, use the DOI form of citation above.
The content of this RSS Feed (c) The Royal Society of Chemistry




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Reference-free quantitative mass spectrometry in the presence of nonlinear distortion caused by in situ chemical reactions among constituents

Analyst, 2024, 149,5320-5328
DOI: 10.1039/D4AN00961D, Paper
Yusuke Hibi
Nonlinear reference-free analysis in pyrolysis-MS enables accurate compositional analysis even in reactive and interactive systems.
The content of this RSS Feed (c) The Royal Society of Chemistry




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Hydrogen bond network structures of protonated 2,2,2-trifluoroethanol/ethanol mixed clusters probed by infrared spectroscopy combined with a deep-learning structure sampling approach: the origin of the linear type network preference in protonated fluoroal

Phys. Chem. Chem. Phys., 2024, 26,27751-27762
DOI: 10.1039/D4CP03534H, Paper
Po-Jen Hsu, Atsuya Mizuide, Jer-Lai Kuo, Asuka Fujii
Infrared spectroscopy combined with a deep-learning structure sampling approach reveals the origin of the unusual structure preference in protonated fluorinated alcohol clusters.
The content of this RSS Feed (c) The Royal Society of Chemistry




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Simulation study of the conformation and dynamics of substrate-supported ring and linear polymer films

Phys. Chem. Chem. Phys., 2024, Advance Article
DOI: 10.1039/D4CP02794A, Paper
Jianhua Huang, Hongzhu Ji, Jin Zhang, Zhunpeng Wang
Ring polymers in substrate-supported films exhibit stronger adsorbability, less deformation, and similar dynamics suppression compared to linear polymers.
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The content of this RSS Feed (c) The Royal Society of Chemistry




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Deciphering nonlinear optical properties in functionalized hexaphyrins via explainable machine learning

Phys. Chem. Chem. Phys., 2024, Advance Article
DOI: 10.1039/D4CP03303E, Paper
Eline Desmedt, Michiel Jacobs, Mercedes Alonso, Freija De Vleeschouwer
The NLO response of hexaphyrins is traced back to its driving forces using kernel ridge regression and explainable machine learning. Orbital and charge-transfer based features play a key role, as opposed to aromaticity and geometrical descriptors.
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The content of this RSS Feed (c) The Royal Society of Chemistry




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Correction: Charge transfer properties of novel linear carbon chain-based dyes

J. Mater. Chem. C, 2024, 12,17704-17704
DOI: 10.1039/D4TC90100B, Correction
Open Access
  This article is licensed under a Creative Commons Attribution 3.0 Unported Licence.
Giuseppe Consiglio, Adam Gorczyński, Salvatore Petralia, Giuseppe Forte
The content of this RSS Feed (c) The Royal Society of Chemistry




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Influence of a diketopyrrolopyrrole spacer on the ultrafast nonlinear optical properties and excited state dynamics of dimeric zinc porphyrin molecules

J. Mater. Chem. C, 2024, Advance Article
DOI: 10.1039/D4TC03281K, Paper
Rahul Murali, Chinmoy Biswas, Sudhanshu Kumar Nayak, Hanping Wu, Xiaobin Peng, Vipin Kumar, Prabhakar Chetti, Venugopal Rao Soma, Sai Santosh Kumar Raavi
This work highlights the significance of adding a DPP unit to the zinc-porphyrin core with ethynylene bridges to enhance third-order NLO properties under femtosecond laser excitation.
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The content of this RSS Feed (c) The Royal Society of Chemistry




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Stimulus-responsive multifunctions in a zinc(II) sulfate complex: photochromism, photoswitching nonlinear optical properties, amine detection and visual film application

J. Mater. Chem. C, 2024, Advance Article
DOI: 10.1039/D4TC04169K, Paper
Shuai Liang, Shi-Kun Yan, Yu-Xuan Wen, Yan-Rui Zhao, Jin Zhang, Ji-Xiang Hu
A novel complex combining photo- and amine-induced chromic, switchable photoluminescence, and photomodulated nonlinear optical properties has been prepared using electron-rich sulfate and electron-deficient 2,4,6-tri(4-pyridyl)-1,3,5-triazine.
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The content of this RSS Feed (c) The Royal Society of Chemistry




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A UV non-hydrogen pure selenite nonlinear optical material for achieving balanced properties through framework-optimized structural transformation

Mater. Horiz., 2024, 11,1704-1709
DOI: 10.1039/D3MH01790G, Communication
Peng-Fei Li, Chun-Li Hu, Jiang-Gao Mao, Fang Kong
NCS NaLu(SeO3)2 was designed by framework-optimized structural transformation from CS NaGa(SeO3)2. NaLu(SeO3)2 exhibits large SHG responses, a wide band gap, a short UV cut-off edge, high LIDT, sufficient birefringence and high thermal stability.
The content of this RSS Feed (c) The Royal Society of Chemistry




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Uncertain altruism and non-linear long-term care policies [electronic journal].




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Should We Use Linearized Models To Calculate Fiscal Multipliers? [electronic journal].




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Rational Bubbles in Non-Linear Business Cycle Models: Closed and Open Economies [electronic journal].




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Politically feasible reforms of non-linear tax systems [electronic journal].




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Nonlinear Production Networks with an Application to the Covid-19 Crisis [electronic journal].

National Bureau of Economic Research




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Nonlinear Pricing with Average-Price Bias [electronic journal].




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Nonlinear Incentives and Advisor Bias [electronic journal].




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Linear IV Regression Estimators for Structural Dynamic Discrete Choice Models [electronic journal].

National Bureau of Economic Research




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Generalized linear competition: From pass-through to policy [electronic journal].