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Subsampling Adaptive Projection-Test with Mixed Predictors
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作者 JIA Xinru ZHU Xuehu ZHANG Jun 《Journal of Systems Science & Complexity》 2026年第1期255-283,共29页
Model checking is crucial in statistical analyses and has garnered significant attention in the academic literature.However,certain challenges persist in scenarios that involve large-scale datasets and limited resourc... Model checking is crucial in statistical analyses and has garnered significant attention in the academic literature.However,certain challenges persist in scenarios that involve large-scale datasets and limited resource allocations.This research introduces a novel subsampling methodology for testing regression models with continuous and categorical predictors,referred to as the Subsampling Adaptive Projection-Test(SAPT).This innovative approach demonstrates substantial improvements in test power for both local and global alternatives,outperforming conventional uniform subsampling mechanisms.The authors rigorously establish the asymptotic properties of SAPT and delineate its maximum achievable power under asymptotic conditions.Comprehensive simulations and real-world dataset applications provide robust validation of the proposed theoretical propositions. 展开更多
关键词 Adaptive projection-test massive dataset optimal subsampling partial sufficient dimension reduction
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Envelope Inverse Regression for Dimension Reduction:A Review and New Perspectives
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作者 ZENG Jing WANG Ning ZHANG Xin 《Journal of Systems Science & Complexity》 2026年第1期284-308,共25页
In this note,the authors revisit the envelope dimension reduction,which was first introduced for estimating a sufficient dimension reduction subspace without inverting the sample covariance.Motivated by the recent dev... In this note,the authors revisit the envelope dimension reduction,which was first introduced for estimating a sufficient dimension reduction subspace without inverting the sample covariance.Motivated by the recent developments in envelope methods and algorithms,the authors refresh the envelope inverse regression as a flexible alternative to the existing inverse regression methods in dimension reduction.The authors discuss the versatility of the envelope approach and demonstrate the advantages of the envelope dimension reduction through simulation studies. 展开更多
关键词 Dimension selection envelope model subspace estimation sufficient dimension reduction
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On Marginal Coordinate Test with Multivariate Responses
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作者 DONG Yuexiao LI Lei 《Journal of Systems Science & Complexity》 2026年第1期3-16,共14页
The authors extend the marginal coordinate test for predictor contribution(Cook,2004)to the case with multivariate responses.Instead of explicitly specifying the link functions between the responses and the predictors... The authors extend the marginal coordinate test for predictor contribution(Cook,2004)to the case with multivariate responses.Instead of explicitly specifying the link functions between the responses and the predictors,an asymptotic test is proposed under the normality assumption of the predictors as well as an asymmetry assumption about the unknown regression mean function.When these assumptions are violated,the asymptotic test with elliptical trimming and clustering is still valid with desirable numerical performances. 展开更多
关键词 Marginal coordinate hypotheses minimum volume ellipsoid K-means clustering ordinary least squares sufficient dimension reduction
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Envelope Dimension Reduction with Application to Binary Classification
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作者 SOALE Abdul-Nasah DONG Yuexiao 《Journal of Systems Science & Complexity》 2026年第1期79-87,共9页
Classical linear discriminant analysis(LDA)(Fisher,1936)implicitly assumes the classification boundary depends on only one linear combination of the predictors.This restriction can lead to poor classification in appli... Classical linear discriminant analysis(LDA)(Fisher,1936)implicitly assumes the classification boundary depends on only one linear combination of the predictors.This restriction can lead to poor classification in applications where the decision boundary depends on multiple linear combinations of the predictors.To overcome this challenge,the authors first project the predictors onto an envelope central space and then perform LDA based on the sufficient predictor.The performance of the proposed method in improving classification accuracy is demonstrated in both synthetic data and real applications. 展开更多
关键词 Envelope linear regression linear discriminant analysis sliced inverse regression sufficient dimension reduction
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Nonlinear Sufficient Dimension Reduction for Metric Space Objects
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作者 HUANG Xueyan LI Yunchen +1 位作者 YING Chao YU Zhou 《Journal of Systems Science & Complexity》 2026年第1期230-254,共25页
In this paper,the authors propose a nonlinear dimension reduction technique based on Fréchet inverse regression to achieve sufficient dimension reduction for responses in metric spaces and predictors in Riemannia... In this paper,the authors propose a nonlinear dimension reduction technique based on Fréchet inverse regression to achieve sufficient dimension reduction for responses in metric spaces and predictors in Riemannian manifolds.The authors rigorously establish statistical properties of the estimators,providing formal proofs of their consistency and asymptotic behaviors.The effectiveness of our method is demonstrated through extensive simulations and applications to real-world datasets which highlight its practical utility for complex data with non-Euclidean structures. 展开更多
关键词 Fréchet sufficient dimension reduction inverse regression metric space nonlinear model
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A Note on Sufficient Dimension Folding for Regression Mean Function with Categorical Predictors
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作者 ZENG Bilin ADEKPEDJOU Akim WEN Xuerong Meggie 《Journal of Systems Science & Complexity》 2026年第1期158-179,共22页
Multi-dimensional arrays are referred to as tensors.Tensor-valued predictors are commonly encountered in modern biomedical applications,such as electroencephalogram(EEG),magnetic resonance imaging(MRI),functional MRI(... Multi-dimensional arrays are referred to as tensors.Tensor-valued predictors are commonly encountered in modern biomedical applications,such as electroencephalogram(EEG),magnetic resonance imaging(MRI),functional MRI(fMRI),diffusion-weighted MRI,and longitudinal health data.In survival analysis,it is both important and challenging to integrate clinically relevant information,such as gender,age,and disease state along with medical imaging tensor data or longitudinal health data to predict disease outcomes.Most existing higher-order sufficient dimension reduction regressions for matrix-or array-valued data focus solely on tensor data,often neglecting established clinical covariates that are readily available and known to have predictive value.Based on the idea of Folded-Minimum Average Variance Estimation(Folded-MAVE:Xue and Yin,2014),the authors propose a new method,Partial Dimension Folded-MAVE(PF-MAVE),to address regression mean functions with tensor-valued covariates while simultaneously incorporating clinical covariates,which are typically categorical variables.Theorems and simulation studies demonstrate the importance of incorporating these categorical clinical predictors.A survival analysis of a longitudinal study of primary biliary cirrhosis(PBC)data is included for illustration of the proposed method. 展开更多
关键词 Mean dimension folding subspace minimum average variance estimation sufficient dimension folding subspace survival analysis tensor data
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A Modified PRP-HS Hybrid Conjugate Gradient Algorithm for Solving Unconstrained Optimization Problems 被引量:1
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作者 LI Xiangli WANG Zhiling LI Binglan 《应用数学》 北大核心 2025年第2期553-564,共12页
In this paper,we propose a three-term conjugate gradient method for solving unconstrained optimization problems based on the Hestenes-Stiefel(HS)conjugate gradient method and Polak-Ribiere-Polyak(PRP)conjugate gradien... In this paper,we propose a three-term conjugate gradient method for solving unconstrained optimization problems based on the Hestenes-Stiefel(HS)conjugate gradient method and Polak-Ribiere-Polyak(PRP)conjugate gradient method.Under the condition of standard Wolfe line search,the proposed search direction is the descent direction.For general nonlinear functions,the method is globally convergent.Finally,numerical results show that the proposed method is efficient. 展开更多
关键词 Conjugate gradient method Unconstrained optimization Sufficient descent condition Global convergence
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On the stability criteria for constrained switched linear systems with multiple faults
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作者 Tianyu Tan Kunwu Zhang +2 位作者 Keyong Shao Songlin Zhuang Yang Shi 《Journal of Automation and Intelligence》 2025年第3期185-197,共13页
Switched systems play an imperative role in modeling many real industrial systems with abrupt changes.Due to possible exposure to unreliable and complex physical environments,switching dynamics may simultaneously face... Switched systems play an imperative role in modeling many real industrial systems with abrupt changes.Due to possible exposure to unreliable and complex physical environments,switching dynamics may simultaneously face multiple faults,including the unexpected controller disconnect,the temporary mismatch between subsystems and desired corresponding controllers,and the intermittent disordering of mode transitions.These commonly arising faults may result in severe and detrimental impacts on the reliability and convergence of the closed-loop solution,thereby bringing significant yet challenging issues to be tackled.This paper provides the first attempt to investigate the stabilization problem for a class of constrained switched linear systems with multiple faults under mode-dependent dwell time(MDT).From a set-theory perspective,we demonstrate a critical necessary and sufficient stability condition for switched systems without uncertainties.Moreover,the non-conservative stability criterion is further extended to the perturbed switched systems with rigorous proof.A switching communication network example verifies the validity of the theoretical result and demonstrates their advantages. 展开更多
关键词 Necessary and sufficient stability Constrained switched systems Fault-tolerant control Set invariance Robustness Mode-dependent dwell time
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Adaptive Sliding Mode Control With Linear Extended State Observer for Active Magnetic Bearing-Rotor Systems
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作者 Yaozhong Zheng Hai-Tao Zhang +3 位作者 Ziheng Yu Xiang Huang Haichao Jiao Han Ding 《IEEE/CAA Journal of Automatica Sinica》 2025年第8期1736-1738,共3页
Dear Editor,Active magnetic bearings(AMBs)are of considerable interest and significance in smart manufacturing due to their zero-friction and adaptivity to noncontact rotor rotations.This paper proposes an active levi... Dear Editor,Active magnetic bearings(AMBs)are of considerable interest and significance in smart manufacturing due to their zero-friction and adaptivity to noncontact rotor rotations.This paper proposes an active levitation control algorithm based on adaptive sliding mode control(ASMC)equipped with linear extended state observer(LESO).Sufficient conditions are derived to guarantee the asymptotical stability of the associated closed-loop system.Experiments are conducted on a real AMB-rotor platform to demonstrate the effectiveness and superiority of the proposed algorithm. 展开更多
关键词 smart manufacturing linear extended state observer leso sufficient active magnetic bearing rotor systems adaptive sliding mode control magnetic bearings ambs adaptive sliding mode control asmc equipped active levitation control algorithm
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Necessary and Sufficient Conditions in Smooth Programming with Generalized Convexity 被引量:1
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作者 孙清滢 叶留青 《Chinese Quarterly Journal of Mathematics》 CSCD 2000年第4期33-37,共5页
Hanson and Mond have grven sets of necessary and sufficient conditions for optimality in constrained optimization by introducing classes of generalized functions, called type Ⅰ functions. Recently, Bector definded un... Hanson and Mond have grven sets of necessary and sufficient conditions for optimality in constrained optimization by introducing classes of generalized functions, called type Ⅰ functions. Recently, Bector definded univex functions, a new class of functions that unifies several concepts of generalized convexity. In this paper, additional conditions are attached to the Kuhn Tucker conditions giving a set of conditions which are both necessary and sufficient for optimality in constrained optimization, under appropriate constraint qualifications. 展开更多
关键词 necessary and sufficient conditions generalized convexity nonlinear programming multiobjective programming type functions
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Evaluation of Burden Descent Model for Burden Distribution in Blast Furnace 被引量:6
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作者 Ping ZHOU Peng-yu SHI +3 位作者 Yan-po SONG Kai-le TANG Dong FU Chenn Q.ZHOU 《Journal of Iron and Steel Research International》 SCIE EI CAS CSCD 2016年第8期765-771,共7页
Mathematical models for burden descending process have been applied to obtain whole burden structures in blast furnace,whereas the accuracy of those burden descent models has not been sufficiently investigated.Special... Mathematical models for burden descending process have been applied to obtain whole burden structures in blast furnace,whereas the accuracy of those burden descent models has not been sufficiently investigated.Special evaluation method based on timeline burden profiles was established to quantitatively evaluate the error between experimental and modeled burden structures.Four existing burden descent models were utilized to describe the burden structure of a 1/20 scaled warm blast furnace.Input modeling conditions including initial burden profile,descending volumes in each time interval,and normalized descending velocity distribution were determined via special image processing technology.Modeled burden structures were evaluated combined with the published experimental data.It is found that all the models caught the main profile of the burden structure.Furthermore,the improved nonuniform descent model(Model IV)shows the highest level of precision especially when burden descends with unstable velocity distribution tendency.Meanwhile,the traditional nonuniform descent model(Model III)may also be desirable to model the burden descending process when the burden descending velocity presents a linear tendency.Finally,the uniform descent model(Model I)might be the first option for roughly predicting burden structure. 展开更多
关键词 burden descending descent normalized utilized scaled sufficiently modeled desirable quantitatively
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When 2D Materials Encounter Disorder 被引量:1
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作者 刘磊 《Chinese Physics Letters》 SCIE EI CAS CSCD 2023年第5期58-58,共1页
Back to the 1950s,Anderson revealed the absence of wave diffusion,i.e.,Anderson localization,in a sufficiently disordered media,marking the start of electron transport research in non-periodic lattices.[1]In a simplif... Back to the 1950s,Anderson revealed the absence of wave diffusion,i.e.,Anderson localization,in a sufficiently disordered media,marking the start of electron transport research in non-periodic lattices.[1]In a simplified theoretical model,one critical order parameter was proposed to determine the boundary of electron delocalization。 展开更多
关键词 simplified sufficiently ABSENCE
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The Belt and Road: A Path to Community of Shared Future for Mankind 被引量:1
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作者 ZHAO KEJIN 《Contemporary World》 2016年第3期2-7,共6页
The Belt and Road is a concept that goes beyond the century.Whither will it take China?What kind of international order will it create?Such issues are less than sufficiently discussed by the Chinese academic circle an... The Belt and Road is a concept that goes beyond the century.Whither will it take China?What kind of international order will it create?Such issues are less than sufficiently discussed by the Chinese academic circle and can be quite confusing to the international community.Particularly,well-established American think tanks like the Centre for Strategic and International 展开更多
关键词 mankind THINK circle STRATEGIC MODERNIZATION COOPERATION sufficiently mutual institutions beyond
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EXTENDING POMPEIU OPERATOR AND THE COMPACTNESS OF SOLUTION SET FOR A CLASS OF HIGHER ORDER PARTIAL DIFFERENTIAL EQUATIONS
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作者 陈冬贵 《四川师范大学学报(自然科学版)》 CAS CSCD 1991年第1期3-4,共2页
This paper discusses chiefly the compactness of solution set of following equationswhere △ is the Laplacian in Sobolev’s sense, a;(x),i= 0,1,…n, n≥ 3, are real square matrices of dimen-sion N×V , bounded an... This paper discusses chiefly the compactness of solution set of following equationswhere △ is the Laplacian in Sobolev’s sense, a;(x),i= 0,1,…n, n≥ 3, are real square matrices of dimen-sion N×V , bounded and measurable in a bounded multiply connected domain Ω, the boundary S is as-sumed to be sufficiently smooth, u(x) is unknown vector, z = (x<sub>1</sub>,x<sub>2</sub>,…,x<sub>n</sub>) Ω R<sup>z</sup>,m≥1,|S<sub>1</sub>|issuperficial measure of the unit sphere of R<sup>Z</sup>, |i|=i<sub>1</sub>+ i<sub>2</sub> +… + i., △<sup>m</sup>=△(△<sup>m-1</sup>). ,(Ω), ,(Ω), … denote the classes of vectors or matrices whose elements belong to L,(Ω),W,(Ω),…. A vector or a matrix is said to be continuous differentiable, bounded and measurable if so are its ele- 展开更多
关键词 measurable LAPLACIAN matrices DIFFERENTIABLE CLASS connected COMPACTNESS multiply sufficiently 子一
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A CLASS OF BOUNDARY VALUE PROBLEMS OF SINGULARLY PERTURBED EQUATION WITH TURNING POINT
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作者 茹学萍 《四川师范大学学报(自然科学版)》 CAS CSCD 1991年第1期54-54,共1页
We consider the existence and asymptotic behavior of singularly perturbed boundary value problem;εX″= b(X,t)X′,t ∈(0, 1)(1)X(0) =α, X(1) =β, (2)where, ε】0, is a sufficiently small parameter, b(X,t... We consider the existence and asymptotic behavior of singularly perturbed boundary value problem;εX″= b(X,t)X′,t ∈(0, 1)(1)X(0) =α, X(1) =β, (2)where, ε】0, is a sufficiently small parameter, b(X,t) is continuous in R×[0,1 ],α,βare prescribedboundary condition, and there is a function X<sub>0</sub>(t) satisfying the implicit equation b[X<sub>0</sub>(t),t] 0t∈[0,1 ].Boundary value problem in this case is rarely studied by other mathematician, the auther has ever dis-cussed the autonomous equation corresponding the boundary value problem (1),(2). Generally speaking,the solution of the corresponding problem has boundary layer at each end of the time interval [0 ,1] , itsinner solution is commposed by one or several constant function, these constant is the zero point of the au- 展开更多
关键词 MATHEMATICIAN satisfying SPEAKING autonomous CLASS asymptotic PERTURBED sufficiently implicit singularly
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Particle-in-Cell Simulations of Fast Magnetic Reconnection in Laser-Plasma Interaction
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作者 ZHANG Ze-Chen LU Quan-Ming +6 位作者 DONG Quan-Li LU San HUANG Can WU Ming-Yu SHENG Zheng-Ming WANG Shui ZHANG Jie 《Chinese Physics Letters》 SCIE CAS CSCD 2013年第4期122-125,共4页
Recent experiments have observed magnetic reconnection in laser-produced high-energy-density(HED)plasma bubbles.We perform two-dimensional(2-D)particle-in-cell(PIC)simulations to investigate magnetic reconnection betw... Recent experiments have observed magnetic reconnection in laser-produced high-energy-density(HED)plasma bubbles.We perform two-dimensional(2-D)particle-in-cell(PIC)simulations to investigate magnetic reconnection between two approaching HED plasma bubbles.It is found that the expanding velocity of the bubbles has a great influence on the process of magnetic reconnection.When the expanding velocity is small,a single X line reconnection is formed.However,when the expanding velocity is sufficiently large,we can observe a plasmoid in the vicinity of the X line.At the same time,the structures of the electromagnetic field in HED plasma reconnection are similar to that in Harris current sheet reconnection. 展开更多
关键词 EXPANDING APPROACHING sufficiently
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Analysis and Control of Two-Layer Frenkel–Kontorova Model
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作者 TANG Wen-Yan QU Zhi-Hua GUO Yi 《Chinese Physics Letters》 SCIE CAS CSCD 2011年第11期12-15,共4页
A one-dimensional two-layer Frenkel–Kontorova model is studied.Firstly,a feedback tracking control law is given.Then,the boundedness result for the error states of single particles of the model is derived using the L... A one-dimensional two-layer Frenkel–Kontorova model is studied.Firstly,a feedback tracking control law is given.Then,the boundedness result for the error states of single particles of the model is derived using the Lyapunov Method.Especially,the motion of single particles can be approximated analytically for the case of sufficiently large targeted velocity.Simulations illustrate the accuracy of the derived results. 展开更多
关键词 METHOD BOUNDEDNESS sufficiently
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Optimizing the Roadmap to Carbon Neutrality with a New Paradigm
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作者 Wen Lai Huang Jinghai Li 《Engineering》 SCIE EI 2021年第12期1678-1679,共2页
1.Introduction Formulating an optimal roadmap to realizing the goals of peak carbon dioxide emissions and carbon neutrality calls for a systemic analysis of mesoscale structures at multiple levels and of their governi... 1.Introduction Formulating an optimal roadmap to realizing the goals of peak carbon dioxide emissions and carbon neutrality calls for a systemic analysis of mesoscale structures at multiple levels and of their governing multiobjective mechanisms within different sectors and fields.However,the analyses currently available are mostly based on traditional approaches,which have not considered different levels of complexity and heterogeneity sufficiently,or have not accounted for multiple objectives sufficiently reasonably.In this perspective article,we attempt to figure out a new framework for dealing with this challenging issue within a totally different paradigm for multiscale complex systems,in which such a global challenge and the paradigm shift in science need to be addressed jointly. 展开更多
关键词 sufficiently totally dealing
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The Taylor Moon
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作者 Wei-dong Sun 《Acta Geochimica》 EI CAS CSCD 2016年第1期14-14,共1页
The formation of the Moon remains obscure after*400 years since Galileo saw that the Moon was mountainous in 1609.The current hypothesis is that the Moon formed through a low-angle collision between the Earth and Mar... The formation of the Moon remains obscure after*400 years since Galileo saw that the Moon was mountainous in 1609.The current hypothesis is that the Moon formed through a low-angle collision between the Earth and Mar-size impactor,which is known as the Giant Impact model(e.g.Benz et al.1989).The giant impact should be sufficiently 展开更多
关键词 Galileo collision obscure Giant hypothesis mountainous sufficiently giant likely volatile
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最新测井专利·(外国专利)
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《国外测井技术》 2020年第1期13-13,22,79,共3页
专利名称:Collocation of radiation generator components for limited-space devices1(中文译名:有限空间装置用辐射发生器部件的配置1)专利申请号:US201514975640申请日:2015.12.18公开号:US10116232B2公开日:2018.10.30申请人:SCHLU... 专利名称:Collocation of radiation generator components for limited-space devices1(中文译名:有限空间装置用辐射发生器部件的配置1)专利申请号:US201514975640申请日:2015.12.18公开号:US10116232B2公开日:2018.10.30申请人:SCHLUMBERGER TECHNOLOGY CORP;A compact radiation generator for use in a downhole well-logging tool is disclosed.The compact radiation generator comprises a housing with a cavity,a linear acceleration tube in the cavity that generates radiation when supplied with a sufficiently high voltage,and a first voltage multiplier ladder in the cavity configured to supply the sufficiently high voltage to the acceleration tube.The first voltage multiplier ladder is folded into two linear parts that are collocated to each other. 展开更多
关键词 GENERATOR ACCELERATION sufficiently
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