Autonomous problem

In the case of autonomous problems and in the first approximation, the system (6-29) is often reducible to the form... 

Arcsine distribution, 105, 111 Assumption of molecular chaos, 17 Asymptotic theory, 384 of relaxation oscillations, 388 Asynchronous excitation, 373 Asynchronous quenching, 373 Autocorrelation function, 146,174 Autocovariance function, 174 Autonomous problems, 340 nonresonance oscillations, 350 resonance oscillations, 350 Autonomous systems, 356 problems of, 323 Autoperiodic oscillation, 372 Averages, 100... 

Show that the non-autonomous problem of finding the minimum of... 

The use of this theory in studies of nonlinear oscillations was suggested in 1929 (by Andronov). At a later date (1937) Krylov and Bogoliubov (K.B.) simplified somewhat the method of attack by a device resembling Lagrange s method of the variation of parameters, and in this form the method became useful for solving practical problems. Most of these early applications were to autonomous systems (mainly the self-excited oscillations), but later the method was extended to... 

Autonomous (A) Versus Nonautonomous (NA) Problems. Practically all nonlinear problems of the theory of oscillations reduce to the differential equation of the form... 

There are two major classes of problems to be investigated (NA) nonautonomous, and (A) autonomous.15 In each of these two classes appear two subclasses (NR) nonresonance oscillations, and (R) resonance oscillations. The treatment of these cases is slightly different. 

Help the mentee choose the best option. Mentors should never dictate solutions to problems instead, they should develop those skills within mentees that enable them to solve their problems independently. It is the aim of mentoring to create mentees who are self-reliant and can tackle problems in an autonomous manner. 

A = Autonomic symptoms (drooling, constipation, sexual dysfunction, urinary problems, sweating, orthostatic hypotension, dysphagia)... 

At-line LIF methods are either based on intrinsic detection or extrinsic approaches. The former often involves static measurements which are prone to photobleaching and thermal effects. These problems can often be addressed by optimizing the excitation source output (i.e., optical power and pulse rate) or by sample agitation. Flow injection analysis or other autonomous sample prepreparation schemes are possible to facilitate various at-line extrinsic methods such as various selective fluoroimmunoassays. ... 

Whenever (3-blocker therapy is employed, the period of greatest danger for asthmatics or insulin-dependent diabetics is during the initial period of drug administration, since the greatest disruption of the autonomic balance will occur at this time. If marked toxicity does not occur during this period, further doses are less likely to cause problems. 

Alcoholism is among the major health problems in most countries. Dependence on ethanol, as with other addictive drugs, is expressed as drug-seeking behavior and is associated with a withdrawal syndrome that occurs after abrupt cessation of drinking. The ethanol withdrawal syndrome is characterized by tremors, seizures, hyperthermia, hallucinations, and autonomic hyperactivity. 

Dry mouth is the most common autonomic adverse effect, and patients should be alerted to its possible occurrence. Profuse sweating, especially at night, can also occur, but the precise mechanism is unknown. There is an increased risk of dental caries as a result of the loss of the bacteriostatic effects of saliva. This problem is further compounded when patients attempt to relieve dry mouth by ingesting hard candy or soft drinks therefore, sugar-free substances should be recommended. 

Withdrawal delirium (delirium tremens), which usually appears 1 to 4 days after abstinence and peaks at about 72 to 96 hours. The mortality rate may be as high as 15% if serious complicating medical problems are also present. Clinical signs and symptoms include profound confusion, illusions, delusions, vivid hallucinations, agitation, insomnia, and autonomic hyperactivity. Death results from infection, cardiac arrhythmias, fluid and electrolyte abnormalities, or suicide (e.g., in response to hallucinations, illusions, or delusions). 

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