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Shape Error Modelling and Analysis by Conditional Simulations of Gaussian Random Fields for Compliant Non-Ideal Sheet Metal Parts

Manoj Babu, Pasquale Franciosa, Darek Ceglarek
2018 Procedia CIRP  
A novel conditional simulation based methodology to probabilistically model and generate non-ideal sheet metal part geometric variations is developed.  ...  A novel conditional simulation based methodology to probabilistically model and generate non-ideal sheet metal part geometric variations is developed.  ...  Deviation prediction of the part The non-ideal parts generated by conditional simulation take the deviation of key points as the fixed points through which the generated non-ideal part should pass through  ... 
doi:10.1016/j.procir.2018.04.023 fatcat:4556ocfkhfcyhmottc24tecsna

Virtual multi-alignment theory of parallel-beam CT image reconstruction for elastic objects

Kyungtaek Jun, Joeun Jung
2019 Scientific Reports  
with an ideal sinogram pattern by transforming an elastic-type projection image set into a rigid-type projection image set satisfying the Helgason-Ludwig consistency condition.  ...  In parallel-beam tomography, the virtual alignment method plays an important role in obtaining an ideally aligned reconstruction of a rigid specimen.  ...  Step 2: In each rigid sinogram, transform the non-ISP to the LAP using the VAM. Step 3: Construct an ideally aligned reconstruction using each sinogram with the LAP.  ... 
doi:10.1038/s41598-019-43331-2 pmid:31048739 pmcid:PMC6497627 fatcat:yzqg57npybcbjfjsdk3b5m46ja

The Bolyai-Lobatschewsky Non-Euclidean Geometry: an Elementary Interpretation of this Geometry, and some Results which follow from this Interpretation

H. S. Carslaw
1909 Proceedings of the Edinburgh Mathematical Society  
Some of its well-known theorems will be obtained from the elementary properties of the system, and it will be shown that if any contradiction were to arise in the Non-Euclidean geometry, such a contradiction  ...  We could in the same way obtain the theorems of the proposed ideal geometry from those of the Non-Euclidean geometry.  ... 
doi:10.1017/s0013091500034854 fatcat:u2rjl3nh6rfzjlnnq332n2lbw4

Features of non-congruent phase transition in modified Coulomb model of the binary ionic mixture [article]

N E Stroev, I L Iosilevskiy
2016 arXiv   pre-print
Strong "distillation" effect was found for NCPT in present BIM(∼) model. Just similar distillation was obtained in variant of NCPT in dense nuslear matter.  ...  Non-congruent gas-liquid phase transition (NCPT) have been studied in modified Coulomb model of a binary ionic mixture C(+6) + O(+8) on a uniformly compressible ideal electronic background /BIM(∼)/.  ...  Adding new non-ideal part moves critical (as well as pseudocritical) point to higher temperatures, the following model takes into account electron-electron interaction and corresponds to DOCP Upper lines  ... 
arXiv:1602.06750v1 fatcat:funy3fegqrgghk5ka2vb6ef6n4

Geometrical model fitting for interferometric data: GEM-FIND [article]

D. Klotz, S. Sacuto, C. Paladini, J. Hron, G. Wachter
2012 arXiv   pre-print
: How stable is the parameter determination with respect to (i) the number of uv-points, (ii) the distribution of points in the uv-plane, (iii) the noise level of the observations?  ...  Each geometrical model describes the brightness distribution of the object in the Fourier space using a set of wavelength-independent and/or wavelength-dependent parameters.  ...  Fig. 6 plots the parameters obtained with GEM-FIND for the synthetic visibility sets S25, S26, S27 (from left to right).  ... 
arXiv:1207.2131v1 fatcat:jb6yb2u63ffqvheniqmj2njxqy

Irreducible Markov Operators with Quasi-Discrete Spectrum

R.A. Hirschfeld
1968 Indagationes Mathematicae (Proceedings)  
A linear map from O(X) into itself is a Markov operator in X if it is non-negative and leaves the constant functions invariant.  ...  A non-negative operator is called irreducible ( [8], p. 269) if it possesses no non-trivial closed ideals in O(X). vVe shall say that a Markov operator has discrete spectrum if its eigenfunctions, pertaining  ...  Fix g in O(X) arbitrarily. By continuity we obtain from (2.3) that T(fg)=(Tf)(Tg) holds for every f in the closed linear span of G. Since T has quasi-discrete spectrum, the latter equals O(X).  ... 
doi:10.1016/s1385-7258(68)50034-9 fatcat:a7cixrcjkfddxbf2jyn23ae2ve

Isentropic equation of state of 2-flavor QCD

S. Ejiri, F. Karsch, E. Laermann, C. Schmidt
2006 Physical Review D  
In the high temperature regime these lines are found to be well approximated by lines of constant μ_q/T.  ...  Using Taylor expansions of the pressure obtained previously in studies of 2-flavor QCD at non-zero chemical potential we calculate expansion coefficients for the energy and entropy densities up to O(μ_q  ...  The softest point of the equation of state is found to be (p/ǫ) min ≃ 0.075 and within our current numerical accuracy it is independent of S/N B .  ... 
doi:10.1103/physrevd.73.054506 fatcat:gadoa5oabfcjxmq3jeutb3je5m

Compressibility effects on ideal and resistive ballooning stability in the TJ-II heliac device

R Sanchez, J.A Jimenez, L Garcia, A Varias
1997 Nuclear Fusion  
From the ideal limit of this criterion, a critical (p) N 1.3% is obtained.  ...  Unstable resistive ballooning modes with ~T A N lov3 are then found for (p) values down to 90% of the ideal critical (p).  ...  This work was done under financial support from DGICYT Project No. PB93-0231-C02-01.  ... 
doi:10.1088/0029-5515/37/10/i04 fatcat:yn5dhwswyzgrjmstjofw2e4sua

Thinnable Ideals and Invariance of Cluster Points [article]

Paolo Leonetti
2018 arXiv   pre-print
Given a sequence (x_n) taking values in a separable metric space and a thinnable ideal I, it is shown that the set of I-cluster points of (x_n) is equal to the set of I-cluster points of almost all its  ...  We define a class of so-called thinnable ideals I on the positive integers which includes several well-known examples, e.g., the collection of sets with zero asymptotic density, sets with zero logarithmic  ...  point of x is also a statistical cluster point of x, that is, Γ x (Fin) = Γ x (I 0 ).  ... 
arXiv:1706.07954v4 fatcat:cylx3bm7bnanbcoxrjcmkdsc4i

Analysis of circuit conditions for optimum intermodulation and gain in bipolar cascomp amplifiers with non-ideal error correction

Toby Balsom, Jonathan Scott, William Redman-White
2014 IET Circuits, Devices & Systems  
The authors further develop the proof to include the non-idealities of the error amplifier.  ...  It is shown that there exists a second bias point, not exposed by the original analysis that offers improved gain while maintaining distortion cancellation.  ...  the third-order gain coefficients are found for the ideal error amplifier case we then obtain the following A e1 ideal = 2G ME V T I M R M + 2V T (16) A e3 ideal = 2G ME I M R M V T (I M R M + 2V T ) 4  ... 
doi:10.1049/iet-cds.2014.0105 fatcat:velgvk5wnvbibjlk3ao6bym7p4

Automatic invariant generation for hybrid systems using ideal fixed points

Sriram Sankaranarayanan
2010 Proceedings of the 13th ACM international conference on Hybrid systems: computation and control - HSCC '10  
We show that the monotone operator on bounded degree pseudo ideals is convergent and generates fixed points that can be used to generate useful algebraic invariants for non-linear systems.  ...  Our approach casts the problem of generating invariants for differential equations as the greatest fixed point of a monotone operator over the lattice of ideals in a polynomial ring.  ...  Thus far, we have computed invariant ideals for continuous algebraic systems as fixed points over ideals as well as pseudo ideals.  ... 
doi:10.1145/1755952.1755984 dblp:conf/hybrid/Sankaranarayanan10 fatcat:7xyoisqu75axfbiwyopa5a5hja

Generalizing domain theory [chapter]

Michael Mislove
1998 Lecture Notes in Computer Science  
The problems range from the relation of domain theory to other approaches for providing semantic models, particularly in process algebra, to issues surrounding the notion of a computational model, an approach  ...  In other words, the question became one of how to assure that the recursive terms from CSP had meanings given by least fixed points in this new model. The solution that was found was quite inventive.  ...  As a result, each term from CSP with bounded nondeterminism has a least fixed point on this submodel, and this fixed point is a pre-fixed point for any corresponding term on U that is dominated by the  ... 
doi:10.1007/bfb0053538 fatcat:u3tzhola6neilk3trjutximc5q

On finding multiple Pareto-optimal solutions using classical and evolutionary generating methods

Pradyumn Kumar Shukla, Kalyanmoy Deb
2007 European Journal of Operational Research  
In solving multi-objective optimization problems, evolutionary methods have been adequately applied to demonstrate that multiple Pareto-optimal solutions can be found in a single simulation run.  ...  In this paper, we discuss and put together various different classical generating methods which are either quite well-known or are in oblivion due to lack available resources and some of which were even  ...  Thus, once a Pareto-optimal solution is found, the search moves from one Pareto-optimal point to another, thereby capturing a well distributed set of solutions on the efficient frontier.  ... 
doi:10.1016/j.ejor.2006.08.002 fatcat:3gwl4pyri5dknlq4p4n4l7luc4

Page 7070 of Mathematical Reviews Vol. , Issue 92m [page]

1992 Mathematical Reviews  
sets modeled as ideal fixed points.  ...  Summary: “Motivated by ideas from the study of abstract data types, we show how to interpret non-well-founded sets as fixed points of continuous transformations of an initial continuous al- gebra.  ... 

Invariance of Ideal Limit Points [article]

Paolo Leonetti
2018 arXiv   pre-print
Then, it is shown that the set of ideal limit points of (x_n) is equal to the set of ideal limit points of almost all its subsequences.  ...  First, it is shown that the set of ideal limit points of (x_n) is an F_σ-set [resp., a closet set].  ...  Denoting by Γ x (I) the set of I-cluster points of (x n ), we obtain: Corollary 4.5.  ... 
arXiv:1707.07475v2 fatcat:56v2kv35vfdmbi3bi7oetkanja
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