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A note on weak dividing

Byunghan Kim, Niandong Shi
2007 Archive for Mathematical Logic  
We study the notion of 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.  ... 
doi:10.1007/s00153-006-0026-y fatcat:gdt5lhnvqzbefaovgmnlpmebwq

Neurological complications of high tibial osteotomy--the fibular osteotomy as a causative factor: a clinical and anatomical study

J R Wootton, M J Ashworth, C A MacLaren
1995 Annals of the Royal College of Surgeons of England  
Motor 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.  ... 
pmid:7717642 pmcid:PMC2502526 fatcat:phaeex74tzgevgxrt6m3buxume

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  ... 

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

Thomas G. Lee
1902 Science  
Paramcecium unquestionably passes through more or less regular cycles of activity and 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.  ... 

Scientific Notes on Practical Guide to Assess Colony Strength for Stingless Bee Geniotrigona thoracica and Heterotrigona itama Colonies

Kumara T. K., Farisya M.S.N, Wan Noor Aida W.M., Marcela P., Abu Hassan Ahmad
2021 Journal of Tropical Resources and Sustainable Science (JTRSS)  
Colony strength of the Geniotrigona thoracica and Heterotrigona itama colonies were classifiedinto strong, moderate and 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.  ... 
doi:10.47253/jtrss.v4i1.582 fatcat:yocrjo5lefbyjaoben52zxjnvq

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.’  ... 


1960 American Journal of Psychiatry  
CLINICAL 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.  ... 
doi:10.1176/ajp.116.9.838 pmid:13806782 fatcat:xqe32lwzw5hplf7m5emuiis5qa

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.  ... 

Normal Pairs of Going-down Rings

David Earl Dobbs, Jay Allen Shapiro
2011 Kyungpook Mathematical Journal  
Let P be 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.  ... 
doi:10.5666/kmj.2011.51.1.001 fatcat:4zgviwpkijcjrpxoj65fgtfeky

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.  ... 

Modification of the AdaBoost-based Detector for Partially Occluded Faces

Jie Chen, Shiguang Shan, Shengye Yang, Xilin Chen, Wen Gao
2006 18th International Conference on Pattern Recognition (ICPR'06)  
Therefore, 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.  ... 
doi:10.1109/icpr.2006.807 dblp:conf/icpr/ChenSYCG06 fatcat:lzbxol47nzf4ffxfvk55rboqgy

Spin relaxation in an ultracold spin-orbit-coupled40K gas

T. Yu, M. W. Wu
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-  ... 
doi:10.1103/physreva.88.043634 fatcat:cekzzm32kbbbxel7bstda433ba

Linear Integer Arithmetic Revisited [chapter]

Martin Bromberger, Thomas Sturm, Christoph Weidenbach
2015 Lecture Notes in Computer Science  
: 0 0 1 2 | 2x + 1 CUTSAT 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!  ... 
doi:10.1007/978-3-319-21401-6_42 fatcat:3hrbmsip4zf57knnlilmbm3efy

Bounded turning circles are weak-quasicircles

Daniel Meyer
2010 arXiv   pre-print
We show that 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]).  ... 
arXiv:1003.5786v2 fatcat:yubnuojrkrbjzmenmmy36sjuqy

Thorough testing of any multiport memory with linear tests

S. Hamdioui, A.J. van de Goor
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 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  ... 
doi:10.1109/43.980260 fatcat:xmfhk4rl75byvgy7jk3gbwuklm
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