More consistency results in partition calculus

1993 ◽  
Vol 81 (1-2) ◽  
pp. 97-110 ◽  
Author(s):  
Saharon Shelah ◽  
Lee Stanley
Keyword(s):  
Partition Calculus ◽  
Consistency Results

scholarly journals Healthcare Provider Attitudes toward the Newly Developed COVID-19 Vaccine: Cross-Sectional Study

2021 ◽  
Vol 11 (1) ◽  
pp. 187-194
Author(s):  
Gasmelseed Ahmed ◽  
Zainab Almoosa ◽  
Dalia Mohamed ◽  
Janepple Rapal ◽  
Ofelia Minguez ◽  
...  
Keyword(s):  
Private Hospital ◽  
Univariate Analysis ◽  
Healthcare Providers ◽  
Cross Sectional Study ◽  
Chronic Illnesses ◽  
Sectional Study ◽  
Provider Attitudes ◽  
Cross Sectional ◽  
Electronic Survey ◽  
Consistency Results

Background: During the long wait and the global anxiety for a vaccine against COVID-19, impressively high-safety and effective vaccines were invented by multiple pharmaceutical companies. Aim: We aimed to assess the attitudes of healthcare providers and evaluate their intention to advocate for the vaccine. Methods: This was a cross-sectional study conducted in a tertiary private hospital where an electronic survey was distributed among healthcare providers (HCPs). The survey contained two sections: socio-demographic characteristics and Likert-scale perception, with 72% internal consistency. Results: The response rate to the email survey was 37% (n = 236). In addition, 169 (71.6%) of respondents were women, with more than half (134, 56.8%) aged ≤35 years. A total of 110 (46.6%) had over 10 years of experience, and most of them were nurses (146, 62%). Univariate analysis revealed that older participants significantly accepted and advocated for the new vaccine more than the younger ones. In the multivariate analysis, men were significantly more likely than women to accept and advocate for the new vaccine, as were those with chronic illnesses. Participants with allergy were significantly less likely to accept the vaccine than others. odds ratio (OR) and p-values were 2.5, 0.003; 2.3, 0.04; and 0.4, 0.01, respectively. Conclusion: The acceptance rate for the newly-developed COVID-19 vaccines was average among HCPs. Sex, age, presence of chronic illnesses, and allergy were significant predictors of accepting the vaccine.

Constructible lattices of c-degrees

1982 ◽  
Vol 47 (4) ◽  
pp. 739-754
Author(s):  
C.P. Farrington
Keyword(s):  
Set Theory ◽  
Regular Cardinal ◽  
Boolean Algebras ◽  
Combinatorial Complexity ◽  
Generic Extension ◽  
Transitive Model ◽  
Perfect Set ◽  
Consistency Results ◽  
Combinatorial Principles ◽  
Souslin Trees

This paper is devoted to the proof of the following theorem.Theorem. Let M be a countable standard transitive model of ZF + V = L, and let ℒ Є M be a wellfounded lattice in M, with top and bottom. Let ∣ℒ∣M = λ, and suppose κ ≥ λ is a regular cardinal in M. Then there is a generic extension N of M such that(i) N and M have the same cardinals, and κN ⊂ M;(ii) the c-degrees of sets of ordinals of N form a pattern isomorphic to ℒ;(iii) if A ⊂ On and A Є N, there is B Є P(κ+)N such that L(A) = L(B).The proof proceeds by forcing with Souslin trees, and relies heavily on techniques developed by Jech. In [5] he uses these techniques to construct simple Boolean algebras in L, and in [6] he uses them to construct a model of set theory whose c-degrees have orderlype 1 + ω*.The proof also draws on ideas of Adamovicz. In [1]–[3] she obtains consistency results concerning the possible patterns of c-degrees of sets of ordinals using perfect set forcing and symmetric models. These methods have the advantage of yielding real degrees, but involve greater combinatorial complexity, in particular the use of ‘sequential representations’ of lattices.The advantage of the approach using Souslin trees is twofold: first, we can make use of ready-made combinatorial principles which hold in L, and secondly, the notion of genericity over a Souslin tree is particularly simple.

scholarly journals O2 Facilitating engagement in surgical research through a virtual systematic review network: The RoboSurg Collaborative

BJS Open ◽  
2021 ◽  
Vol 5 (Supplement_1) ◽  
Author(s):  
Conor S Jones ◽  
Mo Dada ◽  
Max Dewhurst ◽  
Ffion Dewi ◽  
Samir Pathak ◽  
...  
Keyword(s):  
Systematic Reviews ◽  
Data Extraction ◽  
Training And Development ◽  
Surgical Research ◽  
Consistency Results ◽  
Second Year ◽  
The Uk ◽  
And Training ◽  
Collaborative Research Networks ◽  
Upper Gastrointestinal

Abstract Introduction For students and trainees, COVID-19 has restricted opportunities for training and development. We sought to develop a virtual network to facilitate remote engagement and training in surgical research during COVID-19. RoboSurg aims to conduct a series of systematic reviews, to summarise and critique the reporting of studies of robot-assisted surgery across seven upper gastrointestinal procedures. Methods A protocol was developed based on previously published work. Searches were undertaken to identify studies evaluating robotic pancreas, liver, oesophagus, stomach, gallbladder, bariatric and anti-reflux surgery. Participants were identified through social media and collaborative research networks. Abstracts were screened for inclusion by two participants. Data extraction is completed by teams of collaborators, entered into a bespoke REDCap database and verified by senior team member. Changes are logged, with rationale and feedback provided to collaborators and reviewed by a third reviewer to assess consistency. Results of each review will be summarised in narrative syntheses. Results A total of 134 collaborators have registered, with 73 active participants. Collaborators range from second year medical students to surgical registrars across the UK. To date, 9444 abstracts and 1653 full texts have been screened with 422 eligible articles identified. Data extraction for two systematic reviews, including 193 articles, has been completed using this approach. Conclusion RoboSurg has developed a network and methodological framework for the remote conduction of complex systematic reviews, which can be utilised to engage and train students and trainees in surgical research.

Development of the Perception of Opioid Use Survey (POUS) Instrument

2021 ◽  
pp. JNM-D-19-00100
Author(s):  
Alison Burton ◽  
Scott Barnett ◽  
Elyssa Wood ◽  
Alison Smolsky ◽  
Debra Stanger ◽  
...  
Keyword(s):  
Psychometric Testing ◽  
Psychometric Evaluation ◽  
Opioid Use ◽  
Community Impact ◽  
Care Community ◽  
Consistency Results ◽  
Causative Factors ◽  
New Instrument ◽  
Study Team ◽  
Knowledge Attitude And Practice

Background and PurposeA new instrument was designed specifically to evaluate nurses' knowledge, attitude, and practice toward patients who use opioids. This study team developed and tested the psychometric properties of the Perception of Opioid Use Survey (POUS) instrument.MethodsThe instrument was tested among 306 nurses at a 183 bed acute care community hospital, with psychometric evaluation for validity, reliability, and exploratory factor analysis.ResultsInternal consistency results were Cronbach's alpha = .550 for the overall scale and each subscale: Self-Efficacy = .796, Attitudes = .744, Community Impact = .806, and Causative Factors = .763.ConclusionsPsychometric testing results support that the POUS is valid, reliable, and significantly correlated with theoretically selected variables.

scholarly journals Metáforas de teleconferências de negócios

2011 ◽  
Vol 50 (2) ◽  
pp. 171-188
Author(s):  
Antonio Berber Sardinha
Keyword(s):  
Conference Calls ◽  
Investment Bank ◽  
Consistency Results

In this paper, I present research geared toward the identification of metaphors in a corpus of conference calls given by a Brazilian investment bank. These conference calls are presentations held between the bank’s board and its investors. The methodology was based on the extensive annotation of all metaphors in the corpus. This annotation was followed by a thorough check via concordances, in order to ensure its consistency. Results show the most frequent metaphors, the vocabulary that realizes them, as well as the source domains from which they originate.

Some remarks on the partition calculus of ordinals

1999 ◽  
Vol 64 (2) ◽  
pp. 436-442 ◽  
Author(s):  
Péter Komjáth
Keyword(s):  
Regular Cardinal ◽  
Continuum Hypothesis ◽  
Alternative Proof ◽  
Partition Relation ◽  
Negative Relation ◽  
Partition Calculus ◽  
Counter Example ◽  
The Continuum

One of the early partition relation theorems which include ordinals was the observation of Erdös and Rado [7] that if κ = cf(κ) > ω then the Dushnik–Miller theorem can be sharpened to κ→(κ, ω + 1)2. The question on the possible further extension of this result was answered by Hajnal who in [8] proved that the continuum hypothesis implies ω1 ↛ (ω1, ω + 2)2. He actually proved the stronger result ω1 ↛ (ω: 2))2. The consistency of the relation κ↛(κ, (ω: 2))2 was later extensively studied. Baumgartner [1] proved it for every κ which is the successor of a regular cardinal. Laver [9] showed that if κ is Mahlo there is a forcing notion which adds a witness for κ↛ (κ, (ω: 2))2 and preserves Mahloness, ω-Mahloness of κ, etc. We notice in connection with these results that λ→(λ, (ω: 2))2 holds if λ is singular, in fact λ→(λ, (μ: n))2 for n < ω, μ < λ (Theorem 4).In [11] Todorčević proved that if cf(λ) > ω then a ccc forcing can add a counter-example to λ→(λ, ω + 2)2. We give an alternative proof of this (Theorem 5) and extend it to larger cardinals: if GCH holds, cf (λ) > κ = cf (κ) then < κ-closed, κ+-c.c. forcing adds a counter-example to λ→(λ, κ + 2)2 (Theorem 6).Erdös and Hajnal remarked in their problem paper [5] that Galvin had proved ω2→(ω1, ω + 2)2 and he had also asked if ω2→(ω1, ω + 3)2 is true. We show in Theorem 1 that the negative relation is consistent.

scholarly journals Forcing with Non-wellfounded Models

2007 ◽  
Vol 5 ◽  
Author(s):  
Paul Corazza
Keyword(s):  
Set Theory ◽  
Ground Model ◽  
Iterated Forcing ◽  
Consistency Results

We develop the machinery for performing forcing over an arbitrary (possibly non-wellfounded) model of set theory. For consistency results, this machinery is unnecessary since such results can always be legitimately obtained by assuming that the ground model is (countable) transitive. However, for establishing properties of a given (possibly non-wellfounded) model, the fully developed machinery of forcing as a means to produce new related models can be useful. We develop forcing through iterated forcing, paralleling the standard steps of presentation found in [19] and [14].

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