scholarly journals Non-linear Complexity of the Naor–Reingold Pseudo-random Function

2000 ◽  
pp. 53-59 ◽  
Author(s):  
William D. Banks ◽  
Frances Griffin ◽  
Daniel Lieman ◽  
Igor E. Shparlinski
Keyword(s):  
Random Function ◽  
Linear Complexity ◽  
Non Linear

scholarly journals 345 Blood pressure and autonomic function in essential hypertension: comparative evaluation of 24-hour heart rate variability and blood pressure

2021 ◽  
Vol 23 (Supplement_G) ◽  
Author(s):  
Vanessa Pivetti ◽  
Davide Lazzeroni ◽  
Luca Moderato ◽  
Claudio Stefano Centorbi ◽  
Matteo Bini ◽  
...  
Keyword(s):  
Blood Pressure ◽  
Heart Rate ◽  
Heart Rate Variability ◽  
Autonomic Function ◽  
Linear Complexity ◽  
Complexity Analysis ◽  
Beta Blockers ◽  
Sympathetic Tone ◽  
Night Time ◽  
Non Linear

Abstract Aims Arterial hypertension (AHT) represents the leading cause of cardiovascular disease (CVD) and premature death worldwide. Essential AHT accounts for 95% of all cases of hypertension; although the aetiology of essential AHT is still largely unknown, a pivotal role of autonomic nervous system has been proposed and demonstrated. Both excessive sympathetic tone and vagal withdrawal, that define autonomic dysfunction, has been associated with essential AHT. The aim of our study was to investigate the relationship between blood pressure and autonomic function in essential hypertension; this was done comparing 24 h heart rate variability and 24 h blood pressure data, simultaneously collected, in a population of essential AHT subjects. Methods A prospective registry of 179 consecutive not selected essential AHT patients were considered in the present study. All patients underwent cardiac evaluation at the Primary and Secondary Cardiovascular Prevention Unit of the Don Gnocchi Foundation of Parma. All subjects underwent 24 h ECG monitoring, and 24 h Ambulatory Blood Pressure Monitoring, during the same day. Twenty-four hours Heart Rate variability analysis included: Time-domain, frequency-domain and non-linear domain. Results Mean age was 60 0a11.7 years, male gender was prevalent (68.4%). Among the population 26 (14.7%) subjects had diabetes; the prevalence of family history of CVD was 61.7% and 66.5% had dyslipidaemia; body mass index mean values were 27.6 7.4.3. In the whole population, the prevalence of uncontrolled AHT was 80.5%, divided into: 53.1% systo-diastolic, 17.9% isolated systolic, and 9.5% isolated diastolic. The prevalence of untreated AHT (recent diagnosis) was 40.2%, while treated AHT was 59.8% and only 19.6% had controlled blood pressure values (AHT at target). 12.3% of patients were treated with Beta Blockers. A significant correlations between diastolic blood pressure (DBP) values (24 h and day-time), LF/HF ratio (24 h) (r = 0.200; P = 007) and DFA alfa1 (24 h) (r = 0.325; P = 0.000), two know markers of sympathetic tone, were found. A higher sympathetic tone, expressed as high LF/HF, was found in isolated diastolic AHT compared to other types of AHT and the lowest sympathetic tone was found in isolated systolic AHT. Considering non-linear (complexity) analysis, DFA alfa1 (24 h) showed a significant correlation with DBP values that remained independent even after multiple adjustment for BMI, age, gender and Beta Blockers (β = 0.218; P = 0.011). Moreover, the lack of DBP control was associated with high sympathetic tone (LF/HF 3.8 112.3 vs 5.5 .33.3; P < 0.0001). On the other hand, no significant correlations between all DBP data and vagal markers, such as SDNN index, RMSSD and HF, were found. Again, no significant correlations between 24 h, daytime, night-time SBP and time or frequency HRV data as well as with non-linear (complexity) analysis were found. Finally, considering ‘autonomic dipping’, expressed as changes in HRV data between day and night, a strong inverse correlation between vagal markers and Heart Rate Dipping (r = −0.297; P < 0.0001) was found; correlation that remain independent even adjusted for age, gender, BMI, and BB. On the other hand, no association between blood pressure dipping and autonomic dipping was found. Conclusion Diastolic blood pressure and uncontrolled diastolic AHT, rather than systolic AHT, are associated with a hyper-sympathetic tone rather than with blunted vagal tone. The lack of heart rate dipping during night-time in AHT is associated with blunted vagal activation rather than a persistent night-time hyper-adrenergic tone.

Non-linear complexity measures of heart rate variability in acute schizophrenia

2007 ◽  
Vol 118 (9) ◽  
pp. 2009-2015 ◽  
Author(s):  
Karl-Jürgen Bär ◽  
Michael Karl Boettger ◽  
Mandy Koschke ◽  
Steffen Schulz ◽  
Pratap Chokka ◽  
...  
Keyword(s):  
Heart Rate ◽  
Heart Rate Variability ◽  
Linear Complexity ◽  
Complexity Measures ◽  
Acute Schizophrenia ◽  
Non Linear

Network

2006 ◽  
Vol 23 (2-3) ◽  
pp. 307-314 ◽  
Author(s):  
Joost van Loon
Keyword(s):  
Digital Media ◽  
Social Relationships ◽  
Linear Complexity ◽  
Non Linear ◽  
The Gift ◽  
Life Itself ◽  
Concept Network

Network is a device for organizing and conceptualizing non-linear complexity. Networks defy narrative, chronology and thus also genealogy because they entail a multiplicity of traces. Networks problematize boundaries and centrality but intensify our ability to think in terms of flows and simultaneity. As a concept, network has been highly conducive to theorizing phenomena and processes such as globalization, digital media (Internet), speed, symbiosis and complexity. This in turn enables us to rethink what constitutes the foundations of intelligence, knowledge and even life itself. One particularly useful application of network as a concept is the notion of the gift, which is often seen as the archetypical figure for understanding the nature of economics and social relationships.

B. The Non-Linear Calculations for Pulsating Stars

1967 ◽  
Vol 28 ◽  
pp. 105-176
Author(s):  
Robert F. Christy
Keyword(s):  
Major Part ◽  
Afternoon Session ◽  
Discussion Session ◽  
Pulsating Stars ◽  
Fourth Symposium ◽  
Non Linear ◽  
Considerable Discussion ◽  
Informal Approach ◽  
Preceding Session

(Ed. note: The custom in these Symposia has been to have a summary-introductory presentation which lasts about 1 to 1.5 hours, during which discussion from the floor is minor and usually directed at technical clarification. The remainder of the session is then devoted to discussion of the whole subject, oriented around the summary-introduction. The preceding session, I-A, at Nice, followed this pattern. Christy suggested that we might experiment in his presentation with a much more informal approach, allowing considerable discussion of the points raised in the summary-introduction during its presentation, with perhaps the entire morning spent in this way, reserving the afternoon session for discussion only. At Varenna, in the Fourth Symposium, several of the summaryintroductory papers presented from the astronomical viewpoint had been so full of concepts unfamiliar to a number of the aerodynamicists-physicists present, that a major part of the following discussion session had been devoted to simply clarifying concepts and then repeating a considerable amount of what had been summarized. So, always looking for alternatives which help to increase the understanding between the different disciplines by introducing clarification of concept as expeditiously as possible, we tried Christy's suggestion. Thus you will find the pattern of the following different from that in session I-A. I am much indebted to Christy for extensive collaboration in editing the resulting combined presentation and discussion. As always, however, I have taken upon myself the responsibility for the final editing, and so all shortcomings are on my head.)

A decomposition method in non-linear programmm

Optimization ◽  
1975 ◽  
Vol 6 (4) ◽  
pp. 549-559
Author(s):  
L. Gerencsér
Keyword(s):  
Decomposition Method ◽  
Non Linear
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