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A note on weak dividing

2007
*
Archive for Mathematical Logic
*

We study the notion of

doi:10.1007/s00153-006-0026-y
fatcat:gdt5lhnvqzbefaovgmnlpmebwq
*weak**dividing*introduced by S. Shelah. In particular we prove that T is stable iff*weak**dividing*is symmetric. ...*Note*that, by 1.3, if T has*a**dividing*chain, then it produces*a**weak**dividing*left-chain. ... There he*noted*that*weak**dividing*is symmetric and transitive in stable theories, and that simplicity is characterized by the property that*dividing*implies*weak**dividing*. ...##
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Neurological complications of high tibial osteotomy--the fibular osteotomy as a causative factor: a clinical and anatomical study

1995
*
Annals of the Royal College of Surgeons of England
*

Motor

pmid:7717642
pmcid:PMC2502526
fatcat:phaeex74tzgevgxrt6m3buxume
*weakness*and/or sensory deficit occurred in 21 patients (20%) and in half of these the deficit was permanent. For descriptive purposes the fibula was*divided*into four zones. ... The occurrence of*a*neurological deficit was clearly related to the level of the fibular osteotomy. An anatomical explanation is proposed for this complication, based*on*cadaveric studies. ... The authors thank Miss E*A*Bibbington, Mr J R Jones and Mr P B M Thomas for constructive criticism in preparing this study. ...##
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Page 631 of Journal of Sedimentary Petrology Vol. 40, Issue 2
[page]

1970
*
Journal of Sedimentary Petrology
*

*On*

*a*morphologic basis the diagrams can be

*divided*into two types (T1 and T2) as suggested in Table 1. ... ,

*note*

*weak*mode and broad horizontal girdle, maximum contour inter- val, 66 (D) Type T2,

*note*broad girdle and presence of

*weak*parallel mode, maximum contour interval, 56, (E) included in type P2 but ...

##
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Degeneration in Paramæcium and so-called 'Rejuvenescence' without Conjugation

1902
*
Science
*

Paramcecium unquestionably passes through more or less regular cycles of activity and

fatcat:cvmyubhaanhklkztzxrwqwcmva
*weakness*. 2. The period of*weakness*is preceded by*one*of greater*dividing*activity. 3. ... Paramcecium unquestionably passes through more or less regular cycles of activity and*weakness*. Degeneration in 2. The period of*weakness*is preceded by*one*of greater*dividing*activity. 3. ...##
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Scientific Notes on Practical Guide to Assess Colony Strength for Stingless Bee Geniotrigona thoracica and Heterotrigona itama Colonies

2021
*
Journal of Tropical Resources and Sustainable Science (JTRSS)
*

Colony strength of the Geniotrigona thoracica and Heterotrigona itama colonies were classifiedinto strong, moderate and

doi:10.47253/jtrss.v4i1.582
fatcat:yocrjo5lefbyjaoben52zxjnvq
*weak*colonies. ... With this practical guide, uniformity incolony strength can be established for G. thoracica and H. itama colonies and provide*a*quickreferences to the Meliponiculturist. ...*A*& Bstrong colonies; C& Dmoderate colonies; E&F -*weak*colonies. Dashed white lines*divided*into quadrats with each quadrat represent 25% of the hive. ...##
###
Page 45 of The American Ecclesiastical Review Vol. 36, Issue 1
[page]

1907
*
The American Ecclesiastical Review
*

with

*a*strong*note*and its strength will be proportioned to the strength of such*a**note*, whereas if it coincides with*a**weak**note*it will be*weak*. ... In general, then, we shall place an ‘ictus’ or stress of the voice (*a*)*on*every quarter-*note*; (b)*on*the first*note*of every group of*notes*; (c)*on*the*note*bear- ing the ‘episema.’ ...##
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EFFICACY OF TRIFLUOPERAZINE IN CHRONIC MENTAL ILLNESS

1960
*
American Journal of Psychiatry
*

CLINICAL

doi:10.1176/ajp.116.9.838
pmid:13806782
fatcat:xqe32lwzw5hplf7m5emuiis5qa
*NOTES*Recommended Reading—“Trials and Tribulations” by*A*.*A*. Baker, M.D. and J. G. Thorpe, Ph.D. in the October issue of the Journal of Mental Science, p. 1082. ...*On*the positive side, no agranulocytic, hepatotoxic, or biliary static effects were*noted*. ...##
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Page 160 of Mid-America; An Historical Review Vol. 41, Issue 3
[page]

1959
*
Mid-America; An Historical Review
*

This dangerous

*weakness*partly explains the excessive dependence*on*extraneous sources of support that has been*noted*. ... Hence the coalition was easily*divided*, in elections and*on*matters of legislation. ...##
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Normal Pairs of Going-down Rings

2011
*
Kyungpook Mathematical Journal
*

Let P be

doi:10.5666/kmj.2011.51.1.001
fatcat:4zgviwpkijcjrpxoj65fgtfeky
*one*of the following ring-theoretic properties: going-down ring, extensionally going-down (EGD) ring, locally*divided*ring. Then R has P if and only if T has P. ... An example shows that the "if" part of the assertion fails if P is taken to be the "*divided*domain" property. ... Hence, by Theorem 2.8, it suffices to show that R is*a**weak*Baer ring if and only if T is*a**weak*Baer ring. ...##
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Page 818 of American Society of Civil Engineers. Collected Journals Vol. 115, Issue 6
[page]

1989
*
American Society of Civil Engineers. Collected Journals
*

*Note*. Discussion open until November 1, 1989. To extend the closing date

*one*month,

*a*written request must be filed with the ASCE Manager of Journals. ... Water flowed from

*a*variable-head reservoir

*on*the upstream side to

*a*fixed- head reservoir

*on*the other. ...

##
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Modification of the AdaBoost-based Detector for Partially Occluded Faces

2006
*
18th International Conference on Pattern Recognition (ICPR'06)
*

Therefore,

doi:10.1109/icpr.2006.807
dblp:conf/icpr/ChenSYCG06
fatcat:lzbxol47nzf4ffxfvk55rboqgy
*one*can*divide*the whole face region into multiple patches, and map those*weak*classifiers to the patches. ... The*weak*classifiers belonging to each patch are re-formed to be*a*new classifier to determine if it is*a*valid face patch-without occlusion. ...*Note*that*a*rectangle feature usually consists of several sub-rectangles as shown in Fig 2 (d) . When mapping it to patches, all of the sub-rectangles are seen as*a*whole*one*. ...##
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Spin relaxation in an ultracold spin-orbit-coupled40K gas

2013
*
Physical Review A. Atomic, Molecular, and Optical Physics
*

*On*the other hand, the longitudinal spin relaxation is again

*divided*into the anomalous EY-like and normal strong scattering regimes. ... ... This is very different from the conventional situation under the

*weak*magnetic field, which is

*divided*into the

*weak*and strong scattering regimes according to the

*weak*/strong scattering limit. ...

*One*of the authors (TY) would like to thank Y. Zhou for valuable discussions. This work was supported by the Na- ...

##
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Linear Integer Arithmetic Revisited
[chapter]

2015
*
Lecture Notes in Computer Science
*

: 0 0 1 2 | 2x + 1 CUTSAT

doi:10.1007/978-3-319-21401-6_42
fatcat:3hrbmsip4zf57knnlilmbm3efy
*Weak*Cooper Elimination CUTSAT++ Conclusions Cores:*Divide*constraints into cores: If: an assignment ν is not*a*solution for C(x) Then: there exists*a*responsible core that is ...*on*problem structure fills termination gaps of CUTSAT by integrating*Weak*Cooper Elimination termination still oriented*on*problem structure Propagate Propagate divisibility constraint! ...##
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Bounded turning circles are weak-quasicircles

2010
*
arXiv
*
pre-print

We show that

arXiv:1003.5786v2
fatcat:yubnuojrkrbjzmenmmy36sjuqy
*a*metric Jordan curve Γ is bounded turning if and only if there exists*a**weak*-quasisymmetric homeomorphism ϕS^1 →Γ. ... Thus to prove Theorem 1.1 it is enough to construct*a**weak*-quasisymmetry ϕ : S 1 → Γ for any 1-bounded turning circle Γ.*Dividing*arcs. ... Assume the corresponding arc Γ n = Γ n i is*divided*into N = N n i arcs Γ n+1 j .*Note*that by construction N n i ≥ 4. Let c be the midpoint of the interval I (i.e., c = 1 2 (*a*+ b) if I = [*a*, b]). ...##
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Thorough testing of any multiport memory with linear tests

2002
*
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
*

The quality of tests, in terms of fault coverage and test length, is strongly dependent

doi:10.1109/43.980260
fatcat:xmfhk4rl75byvgy7jk3gbwuklm
*on*the used fault models. ... This paper presents realistic fault models for multiport memories with p ports, based*on*defect injection and SPICE simulation. ...*Note*that this fault is*a*combination of two*weak*faults:*a*single-cell*weak*fault and*a**weak**weak*fault involving two cells, whereby the operation has to be performed to the v-cell while the*a*-cell has ...
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