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

2018
*
Procedia CIRP
*

A novel conditional simulation based methodology to probabilistically model and generate

doi:10.1016/j.procir.2018.04.023
fatcat:4556ocfkhfcyhmottc24tecsna
*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 ...##
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Virtual multi-alignment theory of parallel-beam CT image reconstruction for elastic objects

2019
*
Scientific Reports
*

with an

doi:10.1038/s41598-019-43331-2
pmid:31048739
pmcid:PMC6497627
fatcat:yzqg57npybcbjfjsdk3b5m46ja
*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. ...##
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The Bolyai-Lobatschewsky Non-Euclidean Geometry: an Elementary Interpretation of this Geometry, and some Results which follow from this Interpretation

1909
*
Proceedings of the Edinburgh Mathematical Society
*

Some of its

doi:10.1017/s0013091500034854
fatcat:u2rjl3nh6rfzjlnnq332n2lbw4
*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. ...##
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Features of non-congruent phase transition in modified Coulomb model of the binary ionic mixture
[article]

2016
*
arXiv
*
pre-print

Strong "distillation" effect was

arXiv:1602.06750v1
fatcat:funy3fegqrgghk5ka2vb6ef6n4
*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 ...##
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Geometrical model fitting for interferometric data: GEM-FIND
[article]

2012
*
arXiv
*
pre-print

: How stable is the parameter determination with respect to (i) the number of uv-

arXiv:1207.2131v1
fatcat:jb6yb2u63ffqvheniqmj2njxqy
*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). ...##
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Irreducible Markov Operators with Quasi-Discrete Spectrum

1968
*
Indagationes Mathematicae (Proceedings)
*

A linear map

doi:10.1016/s1385-7258(68)50034-9
fatcat:a7cixrcjkfddxbf2jyn23ae2ve
*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). ...##
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Isentropic equation of state of 2-flavor QCD

2006
*
Physical Review D
*

In the high temperature regime these lines are

doi:10.1103/physrevd.73.054506
fatcat:gadoa5oabfcjxmq3jeutb3je5m
*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 . ...##
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Compressibility effects on ideal and resistive ballooning stability in the TJ-II heliac device

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. ...

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Thinnable Ideals and Invariance of Cluster Points
[article]

2018
*
arXiv
*
pre-print

Given a sequence (x_n) taking values in a separable metric space and a thinnable

arXiv:1706.07954v4
fatcat:cylx3bm7bnanbcoxrjcmkdsc4i
*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 ). ...##
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Analysis of circuit conditions for optimum intermodulation and gain in bipolar cascomp amplifiers with non-ideal error correction

2014
*
IET Circuits, Devices & Systems
*

The authors further develop the proof to include the

doi:10.1049/iet-cds.2014.0105
fatcat:velgvk5wnvbibjlk3ao6bym7p4
*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 ...##
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Automatic invariant generation for hybrid systems using ideal fixed points

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

doi:10.1145/1755952.1755984
dblp:conf/hybrid/Sankaranarayanan10
fatcat:7xyoisqu75axfbiwyopa5a5hja
*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*. ...##
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Generalizing domain theory
[chapter]

1998
*
Lecture Notes in Computer Science
*

The problems range

doi:10.1007/bfb0053538
fatcat:u3tzhola6neilk3trjutximc5q
*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 ...##
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On finding multiple Pareto-optimal solutions using classical and evolutionary generating methods

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

doi:10.1016/j.ejor.2006.08.002
fatcat:3gwl4pyri5dknlq4p4n4l7luc4
*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. ...##
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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. ...

##
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Invariance of Ideal Limit Points
[article]

2018
*
arXiv
*
pre-print

Then, it is shown that the

arXiv:1707.07475v2
fatcat:56v2kv35vfdmbi3bi7oetkanja
*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. ...
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