Comment on “Double product integrals and Enriquez quantization of Lie bialgebras I: The quasitriangular identities” [Hudson and Pulmannová, J. Math. Phys.45, 2090 (2004)]

2004 ◽  
Vol 45 (5) ◽  
pp. 2106-2107 ◽  
Author(s):  
B. Enriquez
Keyword(s):  
Lie Bialgebras ◽  
Double Product ◽  
Math Phys

Double product integrals and Enriquez quantization of Lie bialgebras I: The quasitriangular identities

2004 ◽  
Vol 45 (5) ◽  
pp. 2090-2105 ◽  
Author(s):  
R. L. Hudson ◽  
S. Pulmannová
Keyword(s):  
Lie Bialgebras ◽  
Double Product

scholarly journals Impact of exercise based cardiac rehabilitation program in patients with transcatheter aortic valve replacement

2021 ◽  
Vol 28 (Supplement_1) ◽  
Author(s):  
LE Estrada Martinez ◽  
JA Lara Vargas ◽  
JA Pineda Juarez ◽  
JD Morales Portano ◽  
JB Gomez Alvarez ◽  
...  
Keyword(s):  
Heart Rate ◽  
Cardiac Rehabilitation ◽  
Intervention Group ◽  
Rehabilitation Program ◽  
Control Group ◽  
Cardiac Rehabilitation Program ◽  
Double Product ◽  
Oxygen Pulse ◽  
Transcatheter Aortic Valve ◽  
Cardiopulmonary Performance

Abstract Funding Acknowledgements Type of funding sources: None. Introduction  Due to the increase in global prevalence of degenerative valve disease, aortic stenosis (AS) has played a preponderant role in the cardiovascular scenario, especially in patients undergoing transcatheter aortic valve replacement (TAVR). An alternative management for this patients are the cardiac rehabilitation programs (CRP); however, their effect has not been completely understood, both in exercise capacity and quality of life, but neither in the improvement of cardiopulmonary performance and other cardiovascular outcomes.  Purpose: To evaluate the effect of the CRP on exercise tolerance and cardiopulmonary performance in patients with AS undergoing TAVR.  Methods: A cohort study was conducted including 26 patients with AS undergoing TAVR and divided into an intervention group who performed a 4-week supervised training program in the Cardiac Rehabilitation Service and a control group to whom instructions and recommendations to performed unsupervised exercise at home were given. Demographic and clinical data (VO2Max, METS12, oxygen pulse, heart rate, double product, left ventricular ejection fraction, body mass index) were collected at baseline and after a 4-week follow-up. Results: 15 patients were included in the intervention group and 11 patients in the control group. There were no baseline significant differences between groups. After the intervention, significant differences were observed in the METS 12 final gain variable between the control and intervention group (4.55 vs 3.1 p = 0.01). Intergroup analysis showed significant differences (percentage changes) in the intervention group with an increase of METS12 (67.4%, p = 0.001), oxygen pulse (18.21%, p = 0.01), final METS (39.47% p = 0.001) and a decrease in VO2 recovery time (-12.5%, p = 0.05), in the ergometric performance index by heart rate (-38.17%, p = 0.001) and by double product (-38.1%, p = 0.001). Conclusions  A 4-week cardiac rehabilitation program is effective to improve exercise tolerance and cardiopulmonary response in patients with AS undergoing TAVR; improvement was statistically significant in METS12, oxygen pulse, VO2 recovery time, METS-load and ergometric performance index for heart rate and double product. METS12 final gain was statistically significant in intervention group in comparison with the control group. Abstract Figure. Control vs Intervention Group (METS12)

scholarly journals The set of points with Markovian symbolic dynamics for non-uniformly hyperbolic diffeomorphisms

2020 ◽  
pp. 1-26
Author(s):  
SNIR BEN OVADIA
Keyword(s):  
Symbolic Dynamics ◽  
Full Measure ◽  
Probability Measures ◽  
Positive Entropy ◽  
Surface Diffeomorphisms ◽  
Srb Measures ◽  
Hyperbolic Diffeomorphisms ◽  
Set Of Points ◽  
Math Phys ◽  
Homoclinic Classes

Abstract The papers [O. M. Sarig. Symbolic dynamics for surface diffeomorphisms with positive entropy. J. Amer. Math. Soc.26(2) (2013), 341–426] and [S. Ben Ovadia. Symbolic dynamics for non-uniformly hyperbolic diffeomorphisms of compact smooth manifolds. J. Mod. Dyn.13 (2018), 43–113] constructed symbolic dynamics for the restriction of $C^r$ diffeomorphisms to a set $M'$ with full measure for all sufficiently hyperbolic ergodic invariant probability measures, but the set $M'$ was not identified there. We improve the construction in a way that enables $M'$ to be identified explicitly. One application is the coding of infinite conservative measures on the homoclinic classes of Rodriguez-Hertz et al. [Uniqueness of SRB measures for transitive diffeomorphisms on surfaces. Comm. Math. Phys.306(1) (2011), 35–49].

scholarly journals New type of degenerate Daehee polynomials of the second kind

2020 ◽  
Vol 2020 (1) ◽  
Author(s):  
Sunil Kumar Sharma ◽  
Waseem A. Khan ◽  
Serkan Araci ◽  
Sameh S. Ahmed
Keyword(s):  
Generating Function ◽  
Special Class ◽  
Stirling Numbers ◽  
Bernoulli Numbers ◽  
Higher Order ◽  
Bernoulli Numbers And Polynomials ◽  
New Type ◽  
Order Degenerate ◽  
Math Phys

Abstract Recently, Kim and Kim (Russ. J. Math. Phys. 27(2):227–235, 2020) have studied new type degenerate Bernoulli numbers and polynomials by making use of degenerate logarithm. Motivated by (Kim and Kim in Russ. J. Math. Phys. 27(2):227–235, 2020), we consider a special class of polynomials, which we call a new type of degenerate Daehee numbers and polynomials of the second kind. By using their generating function, we derive some new relations including the degenerate Stirling numbers of the first and second kinds. Moreover, we introduce a new type of higher-order degenerate Daehee polynomials of the second kind. We also derive some new identities and properties of this type of polynomials.

Dobutamine as a countermeasure for reduced exercise performance of rats exposed to simulated microgravity

1997 ◽  
Vol 82 (5) ◽  
pp. 1607-1615 ◽  
Author(s):  
Charles M. Tipton ◽  
Lisa A. Sebastian
Keyword(s):  
Lactic Acid ◽  
Exercise Performance ◽  
Simulated Microgravity ◽  
Maximal Exercise ◽  
Blood Gases ◽  
Chronic Administration ◽  
Mechanical Efficiency ◽  
Male Rats ◽  
Double Product ◽  
Run Time

Tipton, Charles M., and Lisa A. Sebastian. Dobutamine as a countermeasure for reduced exercise performance of rats exposed to simulated microgravity. J. Appl. Physiol. 82(5): 1607–1615, 1997.—Post-spaceflight results and findings from humans and rodents after conditions of bed rest or simulated microgravity indicate maximum exercise performance is significantly compromised. However, the chronic administration of dobutamine (a synthetic adrenomimetic) to humans in relevant experiments improves exercise performance by mechanisms that prevent the decline in peak O2 consumption (V˙o 2 peak) and reduce the concentration of lactic acid measured in the blood. Although dobutamine restores maximumV˙o 2values in animals participating in simulated microgravity studies, it is unknown whether injections of this α1-, β1-, and β2-adrenoceptor agonist in rats will enhance exercise performance. To investigate this, adult male rats were assigned to three experimental groups: caged control receiving saline; head-down, tail-suspended (HDS) receiving saline (HDS-S); and an HDS group receiving dobutamine hydrochloride injections (1.8 mg/kg twice daily per rat). Treadmill tests were performed before suspension, at 14 days, and after 21 days.V˙o 2 peak, run time, and the rate of rise in colonic temperature (heating index) were evaluated after 14 days, whereas at 21 days, hemodynamic responses (heart rate, systolic blood pressure, and double product) were determined during submaximal exercise with blood pH, blood gases, and lactic acid concentration values obtained during maximal exercise. In contrast to the results for the HDS-S rats, dobutamine administration did restore V˙o 2 peakand “normalized” lactic acid concentrations during maximal exercise. However, daily injections were unable to enhance exercise performance aspects associated with treadmill run time, the mechanical efficiency of running, the heating index, or the retention of muscle and body mass. These simulated microgravity findings suggest that dobutamine’s potential value as a countermeasure for postflight maximal performance or for egress emergencies is limited and that other countermeasures must be considered.

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