## However, there are some unexpected influences caused by the low order harmonic sinusoidal pulse width modulation (SPWM), such as the imbalanced submodule power in cascaded half-bridge inverter (CHB) and limited output power capability in H-bridge neutral-point-clamped (HNPC) converter.

A Systematic Study on the Harmonic Overlap Effects for DC/AC Converters under Low Switching Frequency Modulation

## It is well known that the pulse width modulation selective harmonic elimination control (SHEPWM) applied to a seven-level inverter can allow the suppression of only two low order harmonics.

Enhanced Harmonic Elimination Using Genetic Algorithm Optimization in Multilevel Inverters

## A benefit of this method is that is uses low order schemes iteratively to produce a high order approximation.

A posteriori Error Estimation for the Spectral Deferred Correction Method

## This element uses low order interpolation functions for the seven kinematic variables.

An edge-based smoothed three-node composite plate element with refined zigzag kinematics

## The results of even relatively low orders of approximation are highly accurate and can be calculated very efficiently.

Approximate Representations of Shaped Pulses Using the Homotopy Analysis Method.

## Accurate results have been obtained in using a relatively low order from the perturbation series.

Critical exponents from the weak-coupling, strong-coupling and large-order parametrization of the hypergeometric (k+1Fk) approximants

## A mixed-method for the order abatement of large-scale linear dynamic systems (LSLDSs) into desired low order systems is proposed.

Order Abatement of Linear Dynamic Systems Using Renovated Pole Clustering and Cauer Second Form Techniques

## The fundamental voltage is obtained by solving the equations in such a way that the desired low order harmonics are eliminated.

DSP Based Implementation of SHE-PWM For Cross-Switched Multilevel Inverter

## By designing parameters such as shear frequency and low order harmonic attenuation coefficient, the dynamic and static ability of position calculation is improved.

Linear Hall Position Calculation Method of PMLSM Based on Type-III PLL

## However, different sources of non-linearities, including low order harmonics mapped to secondary subspaces, cross-coupling saturation and iron losses result in a notable deviation from the experimentally measured waveforms.

Improved Mathematical Modeling of Six Phase Induction Machines Based on Fractional Calculus

## The goal of this work was to study the influence of low order mode responses on extreme response statistics.

Extreme value statistics of flow-induced hydrofoil vibration and resonance

## Comparison of the results predicted by the procedure described in this paper with limited numerical applications, corroborates that it is successful in predicting the response of the components when these are tuned to low order modes of the carrying structure.

An Analytical Approximation to the Seismic Response of Light Linear Nonstructural Components in Resonance With Linear Structures

## In the field of complex systems, it is often possible to arrive at some simple stochastic or chaotic Low Order Models (LOMs) exploiting the time scale separation between leading modes of interest and fast fluctuations.

On the determination of the optimal parameters in the CAM model.

## Low order models based on the Blade Element Momentum (BEM) theory exhibit modeling issues in the performance prediction of Vertical Axis Wind Turbines (VAWT) compared to Computational Fluid Dynamics, despite the widespread engineering practice of such methods.

Formulation, Validation, and Application of a Novel 3D BEM Tool for Vertical Axis Wind Turbines of General Shape and Size

## manoeuvring, gust), low order methods are known to introduce significant dissipation and dispersion errors.

A Coupled HDG-FV Method for Unsteady Compressible Flows

## Besides, they are sharp at least for low order methods, if the testing moments and deflection in their right parts are found by accurate recovery procedures.

A posteriori error bounds for classical and mixed FEM’s for 4th-order elliptic equations with piece wise constant reaction coefficient having large jumps

## We present differences in dissolved organic carbon (DOC) concentrations and dissolved organic matter (DOM) molecular composition within Upper Mississippi River Basin low order streams and rivers draining one of three dominant landcovers (forest, agriculture, and urban).

Anthropogenic landcover impacts fluvial dissolved organic matter composition in the Upper Mississippi River Basin

## Low order streams drain a big proportion of river catchments.

Controls of nitrogen cycling under gaining and losing conditions in a first order agricultural stream

## Pada tahapan mengingat (remembering), memahami (understanding), menerapkan (applying) dikategorikan sebagai kemampuan berpikir tingkat rendah atau Low Order Thinking Skill (LOTS).

INTERSEKSI BERPIKIR KRITIS DENGAN HIGH ORDER THINKING SKILL (HOTS) BERDASARKAN TAKSONOMI BLOOM

## This paper addresses the question of how cognitive levels covering high, middle, and low order thinking skills are delineated in the questions seen from Bloom’s revised taxonomic framework and stimulus.

Evaluating Cognitive Level of Final Semester Examination Questions Based on Bloom’s Revised Taxonomy

## Compared to previous models, these low order systems display longer turbulence lifetimes and lower transition thresholds.

Structure interactions in a reduced-order model for wall-bounded turbulence

## A mixed-method for the order abatement of large-scale linear dynamic systems (LSLDSs) into desired low order systems is proposed.

Order Abatement of Linear Dynamic Systems Using Renovated Pole Clustering and Cauer Second Form Techniques

## A low order network model is built to recognize the thermoacoustic modes of the combustion system.

Effects of acoustic liner on thermoacoustic instabilities in a premixed swirl combustor

## Then, a low order network model is used to explain the observed behaviors.

The effect of inlet boundaries on combustion instability in a pressure-elevated combustor

## The following items were examined preoperatively and 1 month postoperatively: uncorrected visual acuity (UCVA), best-corrected visual acuity (BCVA), spherical, cylinder, central corneal thickness (CCT), corneal mean curvature (CMC), total ocular aberrations (TA), total low order aberrations (tLOAs), defocus, astigmatism and total high order aberrations (tHOAs), spherical, coma, trefoil, modulation transfer function (MTF), MTF cutoff , SR, objective scatter index (OSI), point scatter function at 50 and 10% (PSF50%, PSF10%), and contrast visual acuity of 100, 20, and 9% (VA100%, VA20%, and VA9%).

Comparison of early visual quality in patients with moderate myopia using different optical zones in small incision lenticule extraction (SMILE)

## As an application example, the compensations of some low order aberrations of the 2.

Applications of the elastic modes of a circular plate in wavefront correction of the adaptive optics and the active optics.

## The mean dimension of a black box function of $d$ variables is a convenient way to summarize the extent to which it is dominated by high or low order interactions.

Efficient estimation of the ANOVA mean dimension, with an application to neural net classification

## Interestingly, in these cases, the mapping reveals that the inferred models are essentially low order interaction models.

Restricted Boltzmann Machines as Models of Interacting Variables

## With the explicit time integration and low order finite elements under the total Lagrangian framework, the proposed model is much computationally efficient for modeling the dynamic mechanical behavior of a cell colony.

Continuum-based modeling of collective cell migration

## The angular and spatial derivative terms of governing equations in the cylindrical coordinate system are approximated by high order Chebyshev polynomials instead of the low order finite difference schemes.

Prediction of coupled radiative and conductive heat transfer in concentric cylinders with nonlinear anisotropic scattering medium by spectral collocation method

## A low order thermal network model for the perimeter zone, validated with experimental measurements, is utilized to study various control strategies in response to changes in the electrical grid price signal, including short term (nearly reactive) changes of the order of 10–15 min notice.

Model Predictive Control Strategies to Activate the Energy Flexibility for Zones with Hydronic Radiant Systems

## Our new Curie depth model differs by as much as ±20 km relative to previous models, with the largest differences arising from the low order thermal model and variable susceptibility.

A global Curie depth model utilising the equivalent source magnetic dipole method

## Tensor-train (TT) decomposition has been an efficient tool to find low order approximation of large-scale, high-order tensors.

Adaptive Algorithms for Tracking Tensor-Train Decomposition of Streaming Tensors

## The main features of this work include the adaptive length of the chromosome for ascending system order identification, no limitation of the order of the system to approximate, robust to the system noise, and capable of providing low order approximation to the system.

A Cascaded Genetic Algorithm with Adaptive Length of the Chromosome for Blind System Order and Parameters Identification

10.13287/j.1001-9332.202101.035

## Therefore, lake sediments could not be used to analyze the historical sedimentary model of low order PCBs.

[Reconstruction of temporal and spatial trends of atmospheric pollution based on polychlorinated biphenyls concentration changes in ombrotrophic bogs].

10.1109/TPDS.2020.3025145

## We first formalize the CCT minimization problem into a 0-1 programming problem, then relax and solve the problem in 2 steps to obtain the coflow order and flow grouping decisions on each circuit.

Minimizing Coflow Completion Time in Optical Circuit Switched Networks

10.1209/0295-5075/ac2751

## Although quasi-resonant interactions are observed at low orders, five-wave resonant interactions are found to be the lowest-resonant order subsisting in the capillary range, and are thus probably the mechanism generating the observed 1D capillary-wave turbulence.

Experimental quasi-1D capillary-wave turbulence

## The mean dimension of a black box function of $d$ variables is a convenient way to summarize the extent to which it is dominated by high or low order interactions.

Efficient estimation of the ANOVA mean dimension, with an application to neural net classification

10.1007/s12046-021-01695-0

## The simulated geometry exhibits a low order of dispersion 4.

Numerical analysis on the supercontinuum generation through Al0.24Ga0.76As based photonic crystal fiber

10.1109/LDIA49489.2021.9505854

## By designing parameters such as shear frequency and low order harmonic attenuation coefficient, the dynamic and static ability of position calculation is improved.

Linear Hall Position Calculation Method of PMLSM Based on Type-III PLL

10.1109/ACCESS.2021.3069963

## However, different sources of non-linearities, including low order harmonics mapped to secondary subspaces, cross-coupling saturation and iron losses result in a notable deviation from the experimentally measured waveforms.

Improved Mathematical Modeling of Six Phase Induction Machines Based on Fractional Calculus

10.1016/J.ANUCENE.2021.108211

## Efficacy of the acceleration iterations with varying coarse mesh size and convergence criteria of the low order problem, and their overall performance has been investigated for the 2-group LRA-BWR problem and the 7-group C5G7 problem.

Comparative studies of iterative methods for solving the “optimally diffusive” coarse mesh finite difference accelerated transport equation

10.1016/j.jcp.2020.109940

## The WENO type extrapolation maintains high order accuracy if the solution is smooth near the boundary and it becomes a low order extrapolation automatically if a shock is close to the boundary.

An inverse Lax-Wendroff procedure for hyperbolic conservation laws with changing wind direction on the boundary

## manoeuvring, gust), low order methods are known to introduce significant dissipation and dispersion errors.

A Coupled HDG-FV Method for Unsteady Compressible Flows

10.1088/1742-6596/1715/1/012030

## Besides, they are sharp at least for low order methods, if the testing moments and deflection in their right parts are found by accurate recovery procedures.

A posteriori error bounds for classical and mixed FEM’s for 4th-order elliptic equations with piece wise constant reaction coefficient having large jumps

10.1007/s00540-021-02915-x

## After confirming that the patient was well awake and could follow orders, she was sent to the ward.

Re-sleeping after reversal of remimazolam by flumazenil

10.1016/J.EGYR.2021.03.003

## The result shows that flow order, the co-current flow or the counter-current flow, has little influence on the engine array performance.

Performance analysis of different arrangements of a new layout dish-Stirling system

10.1103/PHYSREVFLUIDS.6.034610

## Compared to previous models, these low order systems display longer turbulence lifetimes and lower transition thresholds.

Structure interactions in a reduced-order model for wall-bounded turbulence

10.1007/s12206-021-0837-0

## With the explicit time integration and low order finite elements under the total Lagrangian framework, the proposed model is much computationally efficient for modeling the dynamic mechanical behavior of a cell colony.

Continuum-based modeling of collective cell migration

10.1051/E3SCONF/202125602016

## The proposed system consists of a high-power thyristor-based line commutated converter to contribute a majority of the dc de-icing current and a low power PWM CSC to provide a part of the dc de-icing current and to compensate the low order harmonic ac current from the TCR.

A Multi-Functional De-Icing Equipment Using Hybrid Type Parallel Current Source Converters

10.1016/J.MSEB.2021.115149

## The photocatalytic performance of ZnO nanoflowers follow order of sea urchin > rose > southern cone marigold flower.

Shape selective flower-like ZnO nanostructures prepared via structure-directing reagent free methods for efficient photocatalytic performance

10.1016/J.IJHEATMASSTRANSFER.2021.121678

## The radiant thermal source is first identified via a low order reduced model based on AROMM (Amalgam Reduced Order Modal Model) method.

On-line indirect thermal measurement in a radiant furnace by a reduced modal model

10.1109/ICCWorkshops50388.2021.9473576

## In this work, comparative experimental measurements of low order OAM, Ince-, and Hermite-Gaussian modes in turbulence are presented.

Higher-Order Spatial Modes in Turbulence: Alternatives to Orbital Angular Momentum

10.1016/J.CITIES.2021.103206

## In the urban network, resources can flow orderly and realize optimal allocation, but the crisis also can spread and even exert an amplification effect.

The dynamic development process of urban resilience: From the perspective of interaction and feedback

10.1016/j.cma.2020.113556

## The method shows good agreement with existing experimental results and superior behaviour when compared to a low order panel method.

An Isogeometric Boundary Element Method for 3D lifting flows using T-splines

10.11591/IJPEDS.V12.I1.PP295-303

## However, adding the dead-time increases the low order harmonics of the output voltage/current waveform of the inverter.

Mitigating the dead-time effects on harmonics spectrum of inverter waveform by the confined band VSFPWM technique

## The goal of this work was to study the influence of low order mode responses on extreme response statistics.

Extreme value statistics of flow-induced hydrofoil vibration and resonance

10.1016/J.CPC.2021.107863

## The solver is free of any approximation (no linearisation of the scattering operator, no close-to-equilibrium approximation, full non-analytic dispersions, full account of Pauli factors, and no limit to low order scattering) \cite{Michael}.

Numerical scheme for the far-out-of-equilibrium time-dependent Boltzmann collision operator: 1D second-degree momentum discretisation and adaptive time stepping

## A low order thermal network model for the perimeter zone, validated with experimental measurements, is utilized to study various control strategies in response to changes in the electrical grid price signal, including short term (nearly reactive) changes of the order of 10–15 min notice.

Model Predictive Control Strategies to Activate the Energy Flexibility for Zones with Hydronic Radiant Systems

10.1016/J.JAPPGEO.2021.104401

## These are removed via a low order eigenimage filter in which the decomposed GPR data is reconstructing without the eigenimages containing them.

Resolution enhancement of deconvolved ground penetrating radar images using singular value decomposition

10.3390/app11135874

## Low order models based on the Blade Element Momentum (BEM) theory exhibit modeling issues in the performance prediction of Vertical Axis Wind Turbines (VAWT) compared to Computational Fluid Dynamics, despite the widespread engineering practice of such methods.

Formulation, Validation, and Application of a Novel 3D BEM Tool for Vertical Axis Wind Turbines of General Shape and Size

10.3934/ENERGY.2021028

## The angular and spatial derivative terms of governing equations in the cylindrical coordinate system are approximated by high order Chebyshev polynomials instead of the low order finite difference schemes.

Prediction of coupled radiative and conductive heat transfer in concentric cylinders with nonlinear anisotropic scattering medium by spectral collocation method

10.1007/s11770-021-0884-4

## In addition, at low orders, the error range of the new optimized SGFDM could be strictly controlled within 1‱, whereas, at high orders, while ensuring accuracy, the spectrum coverage significantly improved.

Optimizing staggered-grid finite-difference method based on the least-squares combination of the square window function

10.1007/S10958-021-05217-5

## The traditional theories characterized by the low orders of approximation of transverse shears do not enable one to detect these local effects, which explains their quite rough accuracy.

Refined Model of Thermoelastoplastic Bending of Layered Plates with Regular Structure. ІІ. Model Problems

10.32999/ksu2307-8030/2021-43-13

## The application of classical methods description of the control system assumes that the control objects are described by linear dynamic links of low order.

NEURO-FUZZY CONTROL SYSTEM OF NON-DETERMINED ECONOMIC OBJECT

10.5194/EGUSPHERE-EGU21-5058

## Low order streams drain a big proportion of river catchments.

Controls of nitrogen cycling under gaining and losing conditions in a first order agricultural stream

10.47813/dnit-mip3/2021-2899-109-117

## Transformation of forecast variance and prediction intervals in case of simple (moving averages MA(q) and autoregressions AR(p) of low order) models is also considered but is a part of further work.

Improvement of time series forecasting quality by means of multiple models prediction averaging

10.1007/s11075-020-00996-5

## New simple recurrence relations of low order satisfied by dual Bernstein polynomials are given.

Fast and accurate evaluation of dual Bernstein polynomials

10.3390/jmse9101139

## The speed of this process can be accelerated by the decrease of the hollow order, topological charge, beam width, and transverse coherence width of the beam.

Propagation Properties of an Off-Axis Hollow Gaussian-Schell Model Vortex Beam in Anisotropic Oceanic Turbulence

10.4236/AJCM.2021.111003

## Specifically, we studied a dual version of the Theorem of Routh-Hurwitz and present explicit criteria for polynomials of low order and derivatives.

On a Dual to the Properties of Hurwitz Polynomials I

10.21203/rs.3.rs-799351/v1

## Comparison of the results predicted by the procedure described in this paper with limited numerical applications, corroborates that it is successful in predicting the response of the components when these are tuned to low order modes of the carrying structure.

An Analytical Approximation to the Seismic Response of Light Linear Nonstructural Components in Resonance With Linear Structures

10.1109/ICMT52455.2021.9502810

## AKA-II shows very low order of reaction and high activation energy leading to considerably long shelf life but harsh stabilizer depletion when the end of shelf life is nearing.

Modeling of smokeless powders shelf life using results of multi-temperature study on stabilizer consumption

10.1007/JHEP07(2021)021

## We work perturbatively — but to arbitrary orders — in the ratio of the heavy operator’s conformal dimension to the dual CFT2’s central charge, thus going beyond the low order results of [1] and [2].

The Regge limit of AdS3 holographic correlators with heavy states: towards the black hole regime

10.1109/TASC.2021.3058547

## Using the available data, we analyzed the distributions of coil geometry, collared coil size, main field, and low order field errors in warm conditions.

Analysis of Geometry and Field Quality Along the Series Production of the 11 T Dipole for the High Luminosity LHC

10.1109/JSEN.2021.3054870

## A novel conductivity surface decomposition approach, based on low order bivariate polynomials and RBF networks is introduced for the efficient solution of the EIT inverse problem.

Tactile Sensing Using Machine Learning-Driven Electrical Impedance Tomography

10.1016/J.PEPI.2021.106672

## Our new Curie depth model differs by as much as ±20 km relative to previous models, with the largest differences arising from the low order thermal model and variable susceptibility.

A global Curie depth model utilising the equivalent source magnetic dipole method

10.1016/J.IJMECSCI.2021.106296

## Low order continuous equations are pursued since they avoid the need to involve extra boundary conditions.

Analysis of low order non-standard continualization methods for enhanced prediction of the dispersive behaviour of a beam lattice

10.1007/JHEP04(2021)194

## In the proposed approach, matrix model multi-point resolvents take a simplified form and some structures of the genus expansion, hardly visible at low order, may be identified and rigorously proved.

On topological recursion for Wilson loops in $$\mathcal{N}$$ = 4 SYM at strong coupling

10.1016/J.GEOG.2020.11.005

## Secondly, the paper gives a theory proof to explain why only the low orders of the coefficients are influenced by polar gaps.

Analysis of limitations on recovery of gravity field based on satellite gravity gradient data

10.1007/S10878-021-00709-1

## We allow order splitting between consecutive lots.

A note on the single machine CON and CONW problems with lot scheduling

10.1007/s00334-021-00831-4

## Pollen assemblages and vegetation correlate better in terms of richness, that is, low order diversity indices.

Testing the potential of pollen assemblages to capture composition, diversity and ecological gradients of surrounding vegetation in two biogeographical regions of southeastern Europe

10.1016/j.matcom.2020.11.006

## The results show that the NARX with low order models fit the real data very well if compared to the ARX models.

Autoregressive exogenous input modelling for lipase catalysed esterification process

10.1016/j.jcp.2021.110527

## The aim of this paper is to develop efficient recursive strategies to tackle a class of high dimensional integrals having a special product structure with low order couplings, motivated by models in lattice gauge theory from quantum field theory.

Lattice meets lattice: Application of lattice cubature to models in lattice gauge theory

10.1007/S42835-020-00636-X

## A low order CP mode (TM11 Mode) and a high order CP mode (TM12 Mode) are both excited in this simple structure for the dual band operation.

Dual Mode Dual-Band Circularly Polarized Modified Square Ring Antenna

10.1109/MWSCAS47672.2021.9531686

## The filters resulted through this procedure have a precise circular shape even close to frequency plane margins and they have a very steep transition for relatively a low order, thus being very efficient.

Efficient Design Procedure for Circular Filter Banks

10.3390/APP11073282

## The optimization results show that the damping loss factor increases when the position of the patch is close to the constraint boundary, and the best strategy is to optimize the low order damping loss factor of the system under moving loads.

Dynamic Response Analysis of a Thin Plate with Partially Constrained Layer Damping Optimization under Moving Loads for Various Boundary Conditions

10.1109/TPWRD.2020.3001217

## The proposed scheme can eliminate the phase angle error during frequency drift without compromising its benefits of the low order control system.

Advanced Type-1c FLL for Enhancing Converters Synchronization During Frequency Drift

10.35445/ALISHLAH.V13I1.385

## This paper addresses the question of how cognitive levels covering high, middle, and low order thinking skills are delineated in the questions seen from Bloom’s revised taxonomic framework and stimulus.

Evaluating Cognitive Level of Final Semester Examination Questions Based on Bloom’s Revised Taxonomy

10.3390/aerospace8090250

## Although such problems might be of interest for different applications, the present study is specifically oriented to the low order modeling of high-frequency combustion instability in liquid-propellant rocket engines.

A Hybrid Real/Ideal Gas Mixture Computational Framework to Capture Wave Propagation in Liquid Rocket Combustion Chamber Conditions

10.1142/S0217751X2150086X

## In the low order of the perturbation theory, matrix elements of some of QED.

Quantum electrodynamics with self-conjugated equations with spinor wave functions for fermion fields

10.1177/0142331221998465

## In order to overcome implementation problems, the low order proportional-integral-derivative (PID) type controllers, which minimize the H ∞ norm of the closed loop system, are designed in the centralized and the decentralized settings.

H ∞ controller design for the mitigation of atmospheric effects on the laser beam pointing

10.1051/E3SCONF/202125201010

## The traditional proportional feedforward control strategy can suppress the low order harmonics in the strong power grid, but in the weak power grid environment, the grid impedance will have an adverse impact on the stability of the system, resulting in the proportional feedforward control can not suppress the low order harmonics well.

An improving control strategy for grid -connected current in weak grid

## While this compound suffers from a low ordering point and is a helimagnet, these difficulties are easily remedied by the substitution of appropriate amounts of cobalt for Fe, with room-temperature saturation magnetization as high as 1.

Effect of atom substitutions on the magnetic properties in Ce2Fe17: Toward permanent magnet applications

10.1109/TIM.2021.3082268

## The proposed sensor presents a high sensitivity due to low order modes that propagate in the middle single-mode fiber (SMF) cladding.

A Simple Optical Sensor Based on an In-Line Mach–Zehnder Interferometer for Monitoring Single- and Two-Phase Flows in Pipelines

10.1051/E3SCONF/202125802006

## Direct approximation of these data gives an expression for the flow order.

Modern problems in assessment of hydraulic resistance

10.1051/E3SCONF/202126403038

## The regulator is built into the pressure drop between the high and low order channels.

Water flow regulator for irrigation canals

10.1051/EPJCONF/202124710023

## With those features, this problem set could then be used for benchmarking neutron transport methods as well as its low order methods in 2D single assembly and full core configurations.

A SIMPLIFIED SMAHTR BENCHMARK PROBLEM SET

10.46298/lmcs-17(3:16)2021

## In comparison, the analogous problems for exact rational or real algebraic coefficients are known to be decidable only for linear recurrences of fairly low order.

Decision problems for linear recurrences involving arbitrary real numbers

10.1016/J.AST.2021.107070

## A low order network model is built to recognize the thermoacoustic modes of the combustion system.

Effects of acoustic liner on thermoacoustic instabilities in a premixed swirl combustor

10.15598/AEEE.V19I2.4100

## The noise component of the low order IMFs is removed with the pixel-wise Wiener filtering.

BEMD Based Ultrasound Image Speckle Reduction Technique Using Pixel-Wise Wiener Filtering