scholarly journals Kurepa trees and Namba forcing

2012 ◽  
Vol 77 (4) ◽  
pp. 1281-1290 ◽  
Author(s):  
Bernhard König ◽  
Yasuo Yoshinobu
Keyword(s):  
Standard Application ◽  
Strongly Compact Cardinals

AbstractWe show that strongly compact cardinals and MM are sensitive to λ-closed forcings for arbitrarily large λ. This is done by adding ‘regressive’ λ-Kurepa trees in either case. We argue that the destruction of regressive Kurepa trees requires a non-standard application of MM. As a corollary, we find a consistent example of an ω2-closed poset that is not forcing equivalent to any ω2-directed-closed poset.

scholarly journals Imaging of Bladder Cancer: Standard Applications and Future Trends

Medicina ◽  
2021 ◽  
Vol 57 (3) ◽  
pp. 220
Author(s):  
Rasha Taha Abouelkheir ◽  
Abdalla Abdelhamid ◽  
Mohamed Abou El-Ghar ◽  
Tarek El-Diasty
Keyword(s):  
Bladder Cancer ◽  
Malignant Tumors ◽  
Cancer Staging ◽  
Low Grade ◽  
Diagnostic Modality ◽  
Positron Emission ◽  
Standard Application ◽  
Muscle Invasive ◽  
Muscle Invasion ◽  
Low Sensitivity

The evolution in imaging has had an increasing role in the diagnosis, staging and follow up of bladder cancer. Conventional cystoscopy is crucial in the diagnosis of bladder cancer. However, a cystoscopic procedure cannot always depict carcinoma in situ (CIS) or differentiate benign from malignant tumors prior to biopsy. This review will discuss the standard application, novel imaging modalities and their additive role in patients with bladder cancer. Staging can be performed with CT, but distinguishing between T1 and T2 BCa (bladder cancer) cannot be assessed. MRI can distinguish muscle-invasive from non-muscle-invasive tumors with accurate local staging. Vesical Imaging-Reporting and Data System (VI-RADS) score is a new diagnostic modality used for the prediction of tumor aggressiveness and therapeutic response. Bone scintigraphy is recommended in patients with muscle-invasive BCa with suspected bony metastases. CT shows low sensitivity for nodal staging; however, PET (Positron Emission Tomography)/CT is superior and highly recommended for restaging and determining therapeutic effect. PET/MRI is a new imaging technique in bladder cancer imaging and its role is promising. Texture analysis has shown significant steps in discriminating low-grade from high-grade bladder cancer. Radiomics could be a reliable method for quantitative assessment of the muscle invasion of bladder cancer.

scholarly journals Strongly compact cardinals and the continuum function

2021 ◽  
pp. 103013
Author(s):  
Arthur W. Apter ◽  
Stamatis Dimopoulos ◽  
Toshimichi Usuba
Keyword(s):  
Continuum Function ◽  
Strongly Compact Cardinals ◽  
The Continuum

scholarly journals Correction: Normalization strategy for the LC-MS bioanalysis of protein kinetics assays via internal proteolytic analyte utilized as control standard: application in studies of HIV-1 protease cleavage of HIV-1 Gag polyprotein in HIV maturation inhibition research

2017 ◽  
Vol 9 (37) ◽  
pp. 5557-5557
Author(s):  
Joseph L. Cantone ◽  
Zeyu Lin ◽  
Ira B. Dicker ◽  
Dieter M. Drexler
Keyword(s):  
Protein Kinetics ◽  
Gag Polyprotein ◽  
Protease Cleavage ◽  
Normalization Strategy ◽  
Standard Application ◽  
Hiv 1

Correction for ‘Normalization strategy for the LC-MS bioanalysis of protein kinetics assays via internal proteolytic analyte utilized as control standard: application in studies of HIV-1 protease cleavage of HIV-1 Gag polyprotein in HIV maturation inhibition research’ by Joseph L. Cantone et al., Anal. Methods, 2017, DOI: 10.1039/c7ay01666b.

On measurable limits of compact cardinals

1999 ◽  
Vol 64 (4) ◽  
pp. 1675-1688
Author(s):  
Arthur W. Apter
Keyword(s):  
Supercompact Cardinal ◽  
Compact Cardinal ◽  
Supercompact Cardinals ◽  
Strongly Compact Cardinals

AbstractWe extend earlier work (both individual and joint with Shelah) and prove three theorems about the class of measurable limits of compact cardinals, where a compact cardinal is one which is either strongly compact or supercompact. In particular, we construct two models in which every measurable limit of compact cardinals below the least supercompact limit of supercompact cardinals possesses non-trivial degrees of supercompactness. In one of these models, every measurable limit of compact cardinals is a limit of supercompact cardinals and also a limit of strongly compact cardinals having no non-trivial degree of supercompactness. We also show that it is consistent for the least supercompact cardinal κ to be a limit of strongly compact cardinals and be so that every measurable limit of compact cardinals below κ has a non-trivial degree of supercompactness. In this model, the only compact cardinals below κ with a non-trivial degree of supercompactness are the measurable limits of compact cardinals.

scholarly journals COMPACT CARDINALS AND EIGHT VALUES IN CICHOŃ’S DIAGRAM

2018 ◽  
Vol 83 (2) ◽  
pp. 790-803 ◽  
Author(s):  
JAKOB KELLNER ◽  
ANDA RAMONA TĂNASIE ◽  
FABIO ELIO TONTI
Keyword(s):  
Cichoń’S Diagram ◽  
Image Position ◽  
Strongly Compact Cardinals

AbstractAssuming three strongly compact cardinals, it is consistent that$${\aleph _1} < add\left( {\cal N} \right) < cov\left( {\cal N} \right) &#x003C; \mathfrakb &#x003C; \mathfrakd < non\left( {\cal N} \right) < cof\left( {\cal N} \right) < {2^{{\aleph _0}}}.$$Under the same assumption, it is consistent that$${\aleph _1} < add\left( {\cal N} \right) < cov\left( {\cal N} \right) < non\left( {\cal M} \right) < cov\left( {\cal M} \right) < non\left( {\cal N} \right) < cof\left( {\cal N} \right) < {2^{{\aleph _0}}}.$$

scholarly journals Measuring Maximum Head Circumference Within the Picture Archiving and Communication System: A Fully Automatic Approach

2021 ◽  
Vol 9 ◽  
Author(s):  
Fernando Yepes-Calderon ◽  
Frisca Wihardja ◽  
Andrea Sloan ◽  
Janet Kim ◽  
Marvin D. Nelson ◽  
...  
Keyword(s):  
Head Circumference ◽  
Retrospective Chart Review ◽  
Radiology Report ◽  
3D Objects ◽  
System A ◽  
Picture Archiving ◽  
Standard Application ◽  
Ring Structures ◽  
3D Printed ◽  
Picture Archiving And Communication

This study describes an automatic technique to accurately determine the maximum head circumference (MHC) measurement from MRI studies within the Picture Archiving and Communications System, and can automatically add this measurement to the final radiology report. Participants were selected through a retrospective chart review of patients referred to the neurosurgery clinic. Forty-nine pediatric patients with ages ranging from 5 months to 11 years were included in the study. We created 14 printed ring structures to mirror the head circumference values at various ages along the x-axis of the Nellhaus chart. The 3D-printed structures were used to create MRI phantoms. Analytical obtainment of circumference values from the 3D objects and phantom images allowed for a fair estimation and correction of errors on the image-based-measuring instrument. Then, standard manual MHC measurements were performed and compared to values obtained from the patients' MRI T1 images using the tuned instrument proposed in this document. A T-test revealed no statistical difference between the manual assessments and the ones obtained by the automation p = 0.357, α = 0.05. This automatic application augments the more error-prone manual MHC measurement, and can add a numerical value to the final radiology report as a standard application.

scholarly journals TAMENESS FROM LARGE CARDINAL AXIOMS

2014 ◽  
Vol 79 (4) ◽  
pp. 1092-1119 ◽  
Author(s):  
WILL BONEY
Keyword(s):  
Large Cardinals ◽  
Large Cardinal ◽  
Strongly Compact Cardinal ◽  
Weakly Compact ◽  
Compact Cardinal ◽  
Dual Property ◽  
First Time ◽  
Strongly Compact Cardinals ◽  
Do So

AbstractWe show that Shelah’s Eventual Categoricity Conjecture for successors follows from the existence of class many strongly compact cardinals. This is the first time the consistency of this conjecture has been proven. We do so by showing that every AEC withLS(K) below a strongly compact cardinalκis <κ-tame and applying the categoricity transfer of Grossberg and VanDieren [11]. These techniques also apply to measurable and weakly compact cardinals and we prove similar tameness results under those hypotheses. We isolate a dual property to tameness, calledtype shortness, and show that it follows similarly from large cardinals.

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