Positive linear relation and application to domination problem.

2020 ◽  
pp. 1-10
Author(s):  
Mohamed Ayadi ◽  
Hamadi Baklouti
Keyword(s):  
Linear Relation ◽  
Domination Problem ◽  
Positive Linear Relation

scholarly journals Evidence That Latitude is Directly Related to Variation in Suicide Rates

2002 ◽  
Vol 47 (6) ◽  
pp. 572-574 ◽  
Author(s):  
George E Davis ◽  
Walter E Lowell
Keyword(s):  
Suicide Rate ◽  
Linear Relation ◽  
Economic Cooperation ◽  
Rate Data ◽  
Geographic Latitude ◽  
Suicide Rates ◽  
Standard Deviations ◽  
Positive Linear Relation

Objective: To use available suicide-rate data from 20 countries to see patterns and relations more clearly. Method: We obtained raw suicide rates from the Organization for Economic Cooperation and Development (OECD) database from 1960 through 1997 and calculated averages and standard deviations. Results: There is a positive linear relation between the variation in suicide rate and geographic latitude. Conclusions: The variation in light-dark cycles is superimposed upon human mood.

Evidence for a positive linear relation between blood pressure and mortality in elderly people

The Lancet ◽  
1995 ◽  
Vol 345 (8953) ◽  
pp. 825-829 ◽  
Author(s):  
R.J. Glynn ◽  
T.S. Field ◽  
P.R. Hebert ◽  
J.O. Taylor ◽  
C.H. Hennekens ◽  
...  
Keyword(s):  
Blood Pressure ◽  
Elderly People ◽  
Linear Relation ◽  
Positive Linear Relation

Inequality and Discontent: A Nonlinear Hypothesis

1974 ◽  
Vol 26 (4) ◽  
pp. 453-472 ◽  
Author(s):  
Jack Nagel
Keyword(s):  
Statistical Methods ◽  
Linear Relation ◽  
Well Being ◽  
Important Case ◽  
Absolute Level ◽  
Distribution Of Wealth ◽  
South Vietnam ◽  
Economic Well Being ◽  
Positive Linear Relation ◽  
Cross National

At least since Aristotle, theorists have believed that political dis-content and its consequents—protest, instability, violence, revolution—depend not only on the absolute level of economic well-being, but also on the distribution of wealth. Contemporary political analysts have tried to test this ancient assumption using modern statistical methods. Their results are distressingly confusing. One cross-national investigation finds the commonsensical positive linear relation: the more the inequality, the greater the instability. A second study purports to show the opposite relation in the important case of South Vietnam: the greater the inequality, the less the support for revolution. And a third analysis, also of South Vietnam, detects no relation at all between inequality and rebellion.

Control of blood pressure mediated by baroreflex changes of heart rate in the chicken embryo (Gallus gallus)

2000 ◽  
Vol 278 (4) ◽  
pp. R980-R986 ◽  
Author(s):  
Jordi Altimiras ◽  
Dane A. Crossley
Keyword(s):  
Blood Pressure ◽  
Heart Rate ◽  
Arterial Pressure ◽  
Incubation Time ◽  
Linear Relation ◽  
Peripheral Resistance ◽  
Reciprocal Relationship ◽  
Pharmacological Manipulation ◽  
Maximal Gain ◽  
Positive Linear Relation

Pharmacological manipulation of peripheral resistance via sodium nitroprusside and phenylephrine was used to study baroreflex function over the latter two-thirds of incubation in embryonic chickens. From day 9 to day 19of incubation, there is a positive linear relation between heart rate and blood pressure, indicating the feedforward action of arterial pressure on heart rate. A reciprocal relationship between blood pressure and heart rate became pronounced during the last 3 days of incubation. For the purpose of the study, gain of the baroreflex was calculated as maximal gain (only those embryos that demonstrated the response) or average gain (all embryos). Maximal gain increased progressively from 13 ± 7 beats ⋅ min−1 ⋅ kPa−1at 18 days to 105 ± 83 beats ⋅ min−1 ⋅ kPa−1in 2-day-old hatchlings. The percentage of embryos older than 18 days with baroreflex responses increased from 33% on day 19 to 56% on day 21, indicating that baroreflex regulation begins late in incubation (∼90% incubation time), and the gain of this reflex exhibits a maturation over the final 3 days of incubation.

Thirty-Eight Years of Training Distribution in Olympic Speed Skaters

2014 ◽  
Vol 9 (1) ◽  
pp. 93-99 ◽  
Author(s):  
Jac Orie ◽  
Nico Hofman ◽  
Jos J. de Koning ◽  
Carl Foster
Keyword(s):  
Intensity Distribution ◽  
Linear Relation ◽  
Training Intensity ◽  
Significant Relation ◽  
Sports Science ◽  
Speed Skating ◽  
Inline Skating ◽  
And Training ◽  
Science Training ◽  
Positive Linear Relation

During the last decade discussion about training-intensity distribution has been an important issue in sports science. Training-intensity distribution has not been adequately investigated in speed skating, a unique activity requiring both high power and high endurance.Purpose:To quantify the training-intensity distribution and training hours of successful Olympic speed skaters over 10 Olympiads.Methods:Olympic-medal-winning trainers/coaches and speed skaters were interviewed and their training programs were analyzed. Each program was qualified and quantified: workout type (specific and nonspecific) and training zones (zone 1 ≤2 mMol/L lactate, zone 2 2–4 mMol/L lactate, zone 3 lactate >4 mMol/L). Net training times were calculated.Results:The relation between total training hours and time (successive Olympiads) was not progressive (r = .51, P > .5). A strong positive linear relation (r = .96, P < .01) was found between training distribution in zone 1 and time. Zones 2 and 3 both showed a strong negative linear relation to time (r = –.94, P < .01; r = –.97, P < .01). No significant relation was found between speed skating hours and time (r = –.11, P > .05). This was also the case for inline skating and time (r = –.86, P > .05).Conclusions:These data indicate that in speed skating there was a shift toward polarized training over the last 38 y. This shift seems to be the most important factor in the development of Olympic speed skaters. Surprisingly there was no relation found between training hours, skating hours, and time.

Osmolality, NaCl dietary intake, and regulation of ventilation by CO2

1988 ◽  
Vol 255 (1) ◽  
pp. R105-R112 ◽  
Author(s):  
J. W. Anderson ◽  
D. B. Jennings
Keyword(s):  
Water Balance ◽  
Linear Relation ◽  
Ventilatory Response ◽  
Plasma Osmolality ◽  
Strong Ion Difference ◽  
Compensatory Mechanism ◽  
Arterial Blood ◽  
Period Variations ◽  
Ventilatory Response To Co2 ◽  
Positive Linear Relation

The ventilatory response to CO2 (VR) was examined in six awake dogs during the 2nd week of sequential dietary periods of low NaCl (less than 5 meq NaCl/day), high NaCl (approximately 120 meq NaCl/day), and then repeated low NaCl. Water intake was maintained constant at 77 ml.kg-1.day-1. PCO2 of arterial blood (PaCO2) and the PaCO2 threshold of the VR increased between the high-NaCl and the second low-NaCl period; the PaCO2 threshold did not change between the first low-NaCl and the high-NaCl period. In contrast, arterial [H+] ([H+]a) threshold of the VR increased between the first low-NaCl period and the high-NaCl period, but did not change further in the second low-NaCl period. Variations in [H+]a threshold of the VR between dogs on high- and low-NaCl diets were correlated with plasma osmolality, and this accounted for a positive linear relation between [H+]a and plasma osmolality. During the high-NaCl period, the arterial strong ion difference [[SID]a = ([Na+] + [K+]) - ([lactate-] + [Cl-])] decreased, forcing [H+]a to increase. However, during high-NaCl diet, PaCO2 decreased relative to plasma osmolality, counterbalancing the decrease in [SID]a and maintaining the relation between [H+]a and plasma osmolality. The compensatory mechanism for the decrease in PaCO2 during high NaCl was a shift in the relation between PaCO2 threshold of the VR and plasma osmolality to a lower PaCO2 threshold. Chemoreceptor, osmoreceptor, and/or humoral mechanisms are potentially involved in these respiratory adaptations to alterations in electrolyte and water balance.

scholarly journals SPATIAL VARIATION OF URBAN HEAT ISLAND INTENSITY IN URBAN CITIES USING MODIS SATELLITE DATA

2019 ◽  
Vol XLII-4/W16 ◽  
pp. 147-151 ◽  
Author(s):  
R. Bala ◽  
R. Prasad ◽  
V. P. Yadav ◽  
J. Sharma
Keyword(s):  
Urban Heat Island ◽  
Rural Areas ◽  
Linear Relation ◽  
Urban Areas ◽  
Heat Island ◽  
Night Time ◽  
Natural Land ◽  
Urban Cool Island ◽  
Urban Heat ◽  
Positive Linear Relation

Abstract. Urban Heat Island (UHI) refers to the occurrence of higher temperatures in urban areas than the neighbouring rural areas. The neighbouring land cover also has some influence on the urban temperatures. The present study focuses on the UHI effect observed in four different cities i.e. Bikaner, Hyderabad, Vadodara and Varanasi which were surrounded by different natural land covers using MODIS satellite images. Bikaner shows Urban Cool Island (UCI) and Varanasi show UHI during day time. Vadodara and Hyderabad do not show much variation in urban and rural LST during day time. However, UHI effect was found clearly significant during night time in the four cities. UHI intensity was calculated using night LST and found highest in Hyderabad and lowest in Bikaner. The relation of LST with % Impervious was studied which shows good positive linear relation when significant UHI effect was observed and negative linear relation when UCI effect was observed. The slope obtained from linear regression of night LST with % Impervious was compared with the UHI intensity in the four cities and found to show good positive linear relation. Therefore, % Impervious can be used to quantify UHI intensity in urban areas.

On compressions of self-adjoint extensions of a symmetric linear relation with unequal deficiency indices

2019 ◽  
Vol 16 (4) ◽  
pp. 567-587
Author(s):  
Vadim Mogilevskii
Keyword(s):  
Hilbert Space ◽  
Boundary Conditions ◽  
Linear Relation ◽  
Deficiency Indices ◽  
Space Extension ◽  
Limit Value ◽  
Abstract Boundary ◽  
Symmetric Linear Relation ◽  
Symmetric Operators

Let $A$ be a symmetric linear relation in the Hilbert space $\gH$ with unequal deficiency indices $n_-A <n_+(A)$. A self-adjoint linear relation $\wt A\supset A$ in some Hilbert space $\wt\gH\supset \gH$ is called an (exit space) extension of $A$. We study the compressions $C (\wt A)=P_\gH\wt A\up\gH$ of extensions $\wt A=\wt A^*$. Our main result is a description of compressions $C (\wt A)$ by means of abstract boundary conditions, which are given in terms of a limit value of the Nevanlinna parameter $\tau(\l)$ from the Krein formula for generalized resolvents. We describe also all extensions $\wt A=\wt A^*$ of $A$ with the maximal symmetric compression $C (\wt A)$ and all extensions $\wt A=\wt A^*$ of the second kind in the sense of M.A. Naimark. These results generalize the recent results by A. Dijksma, H. Langer and the author obtained for symmetric operators $A$ with equal deficiency indices $n_+(A)=n_-(A)$.

scholarly journals Prospective study of dynamic whole-body 68Ga-DOTATOC-PET/CT acquisition in patients with well-differentiated neuroendocrine tumors

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
Philippe Thuillier ◽  
David Bourhis ◽  
Jean Philippe Metges ◽  
Romain Le Pennec ◽  
Karim Amrane ◽  
...  
Keyword(s):  
Neuroendocrine Tumors ◽  
Linear Relation ◽  
Whole Body ◽  
Pet Ct ◽  
Non Linear ◽  
Well Differentiated ◽  
Analog Systems ◽  
Pet System ◽  
Dynamic Acquisition ◽  
Linear Regressions

AbstractTo present the feasibility of a dynamic whole-body (DWB) 68Ga-DOTATOC-PET/CT acquisition in patients with well-differentiated neuroendocrine tumors (WD-NETs). Sixty-one patients who underwent a DWB 68Ga-DOTATOC-PET/CT for a histologically proven/highly suspected WD-NET were prospectively included. The acquisition consisted in single-bed dynamic acquisition centered on the heart, followed by the DWB and static acquisitions. For liver, spleen and tumor (1–5/patient), Ki values (in ml/min/100 ml) were calculated according to Patlak's analysis and tumor-to-liver (TLR-Ki) and tumor-to-spleen ratios (TSR-Ki) were recorded. Ki-based parameters were compared to static parameters (SUVmax/SUVmean, TLR/TSRmean, according to liver/spleen SUVmean), in the whole-cohort and according to the PET system (analog/digital). A correlation analysis between SUVmean/Ki was performed using linear and non-linear regressions. Ki-liver was not influenced by the PET system used, unlike SUVmax/SUVmean. The regression analysis showed a non-linear relation between Ki/SUVmean (R2 = 0.55,0.68 and 0.71 for liver, spleen and tumor uptake, respectively) and a linear relation between TLRmean/TLR-Ki (R2 = 0.75). These results were not affected by the PET system, on the contrary of the relation between TSRmean/TSR-Ki (R2 = 0.94 and 0.73 using linear and non-linear regressions in digital and analog systems, respectively). Our study is the first showing the feasibility of a DWB 68Ga-DOTATOC-PET/CT acquisition in WD-NETs.

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