... of attraction of an asymptotically stable steady state of a discrete dynamical system is not necessarily connected (which is the case for continuous dynamical systems) This fact is shown by the ... 1.3 Let be thef : R → R defined by f (x) = x2 Due to the equality f k (x) = x2 the domain of attraction ofthe asymptotically stable steady state x = is Da (0) = (−1,1) k+1 The Lyapunov function ... (2.6) By means of Lemma 2.3, we have that f (y ) < y Therefore, there exists a neighborhood U f (y0 ) ⊂ B(R) off (y ) such that for any z ∈ U f (y0 ) we have z < y On the other hand, for the...
... nearest to the current tour • The node farthest from the current tour • The node forming the largest angle with two consecutive nodes ofthe tour The complexity ofthe insertion algorithm varies ... effect ofthe tabu list in TS forthe TSP and showed that the best tabu list size is about n/4 for 2-opt based TS and in the range of n/16 to n/8 forthe 3-opt based TS where n is the total number ... condition that the following criteria are satisfied: • The route starts and ends at a depot; • The total demand of any route does not exceed the vehicle capacity, Q; • The total length of any route...
... -Lipschitzian of T1 , we have yn − y − ρ T1 yn − T1 y yn − y − 2ρ T1 yn − T1 y , yn − y ≤ yn − y − 2ρ −γ1 T1 yn − T1 y ρ2 T1 yn − T1 y ≤ yn − y 2ργ1 μ2 − 2ρr1 r1 yn − y 2 4.5 2ργ1 μ2 yn − y ... references therein Iterative Algorithms In this section, we suggest some explicit iterative algorithms forsolvingthe system of general variational inclusion 2.1 First of all, we establish the ... equivalent to the fixed point problem and this is the motivation of our next result Lemma 3.2 If the operator A is maximal monotone, then x∗ , y ∈ H is a solution of 2.1 , if and only if, x∗ , y ∈...
... nature ofthe substrate is that in spite of their sensitivity, these can only address the early stages ofthe biodegradation process Furthermore, these parameters can give no information on the ... measurement ofthe BOD, often expressed as a percentage ofthe theoretical oxygen demand (TOD) ofthe compound The TOD, which is the theoretical amount of oxygen necessary for completely oxidizing ... definitions or interpretations ofthe term “biodegradability,” the different approaches are therefore not equivalent in terms of information they provide or the practical significance Since the typical...
... verification and design of robust control strategies for sensitivity analysis ofthe system w.r .t all uncertainties These uncertainties often lead to increased overestimation due to the wrapping effect ... applications of time-varying systems are switchings between different control strategies, e.g forthe transient behavior after setting a system into operation, for control near steady state operating ... violated Therefore, only systems with a finite number of switching points are usually considered Then, integration ofthe IVP can be stopped at the switching point and restarted with the system...
... analyst must further demonstrate that the measurement ofthe internal standard is not affected by method or matrix interferences Because of these limitations, no internal standard can be suggested ... analysis of a QC check standard will depend upon the number of parameters being simultaneously tested, the complexity ofthe sample matrix, and the performance ofthe laboratory If the entire ... heavily in the interpretation of chromatograms 12.7 If the response for a peak exceeds the working range ofthe system, dilute the extract with acetonitrile and reanalyze 12.8 If the measurement of...
... analytical behavior to the compounds of interest The analyst must further demonstrate that the measurement ofthe internal standard is not affected by method or matrix interferences Because of these ... µL syringe, immediately add two or more drops of assayed reference material to the flask, then reweigh Be sure that the drops fall directly into the water without contacting the neck ofthe flask ... measuring the appropriate amounts and determining the weight ofthe material using the density ofthe material Commercially prepared stock standards may be used at any concentration if they are certified...
... analysis of a QC check standard will depend upon the number of parameters being simultaneously tested, the complexity ofthe sample matrix, and the performance ofthe laboratory If the entire list of ... laboratory account forthe majority of contamination problems The analytical system must be demonstrated to be free from contamination under the conditions ofthe analysis by running laboratory reagent ... ofthe retention time ofthe authentic compound 12.1.3 The relative peak heights ofthe three characteristic masses in the EICPs must fall within ±20% ofthe relative intensities of these masses...
... internal standards that are similar in analytical behavior to the compounds of interest The analyst must further demonstrate that the measurement ofthe internal standard is not affected by method ... with hot vapor Adjust the vertical position ofthe apparatus and the water temperature as required to complete the concentration in 15-20 minutes At the proper rate of distillation the balls of ... the top Place the micro-K–D apparatus on the water bath so that the concentrator tube is partially immersed in the hot water Adjust the vertical position ofthe apparatus and the water temperature...
... invariant foliations ofthe torus to RN Notice that each ˜ leaf ofF σ is not the preimage by p ofthe corresponding leaf ofF σ in TN but only a connected component of this preimage Call the leaf of ... (3) not hold; then by the preceding lemma the proof ofthe proposition follows in the spirit ofthe proof that the only one dimensional manifolds are the ones in (2) That M is su-saturated, F -invariant ... λ then we must have that n = and that λ2 ± = and thus, as 2d ≥ 4, this contradicts the irreducibility of P If λ were a root of unity, then by the irreducibility of P , all the roots of P must...
... be taken up Ld Members ofthe Bar and the litigants who want their matters to be taken up in the Lok Adalat,may give the details of their cases to the Delhi High Court Legal Services Committee, ... FILES IN CONFORMITY WITH THE COURT FILE,IN ADVANCE NOTE: COUNSELS ARE REQUESTED TO SUPPLY THE PHOTOCOPY OF JUDGEMENTS THEY WISH TO RELY UPON.] CASES OF PERSONS ABOVE 65 YRS OF AGE (SENIOR CITIZENS) ... ABDESH DUBEY Vs STATE OF NCT OF DELHI LALA RAM Vs STATE RANJEET MALIK Vs STATE MOHAMMAD TASLEEM Vs STATE (NCT) DELHI SURINDER KUMAR Vs GOVT OF N.C .T OF DELHI KISMAT ALI Vs STATE(GOVT .OF NCT OF DELHI...
... present, the data quality array in the FITS files follows a convention established by the STIS Instrument Development Team (implemented in the latest versions of CALSTIS) rather than the convention ... by overexposure in the raw data Unfortunately, one cannot rely on the Data Quality (DQ) array in the FITS files to properly identify all ofthe bad pixels A list ofthe observations which have ... Removal ofthe Hα Ghost Image We are optimistic that we can develop a method to remove the ghost image ofthe bright Hα feature from the central star e) Slit Throughput Corrections Theoretically we...
... points the lung showed the strongest radioactivity labelling The radioactivity decreased with time and at 48 h the radioactivity detected in lung was approximately ofthe same intensity as that of ... later On whole-body autoradiogram the radioactivity pattern was similar to the result from the initial time-dependence experiment at the time point of 24 h Thus, the radioactivity was detected ... description for human allergic disease may be questioned, they offer excellent tools for studying the effects of allergens in vivo in their natural target organs [17] In the present study, a mouse...
... analyst must select one or more internal standards that are similar in analytical behavior to the compounds of interest The analyst must further demonstrate that the measurement ofthe internal ... any individual falls outside the range for accuracy, the system performance is unacceptable for that parameter Locate and correct the source ofthe problem and repeat the test for all parameters ... Only parameters that failed the test in Section 8.3 need to be compared with these criteria If the recovery of any such parameter falls outside the designated range, the laboratory performance for...
... quality of data that is generated Ongoing data quality checks are compared with established performance criteria to determine if the results of analyses meet the performance characteristics ofthe ... range for accuracy, the system performance is unacceptable for that parameter Locate and correct the source ofthe problem and repeat the test for all parameters of interest beginning with Section ... parameters that failed the test in Section 8.3 need to be compared with these criteria If the recovery of any such parameter falls outside the designated range, the laboratory performance for that...
... potentials ofthe particle interaction with angular cut off For a boundary value problem the conditions forthe boundary data reflect the following situations: the first is connected with the ... Maxwell equations, symmetric hyperbolic systems, the system ofequations from elasticity theory, the Bolzman equation and the neutron transport equation The overview ofthe results obtained and their ... differential equation, the type of its coefficients and other parameters Quite often the unique solvability of an inverse problem is ensured by the surplus information of this sort A definite structure...
... better than waiting at the top ofthe hill, with nothing to till, Johnny Gibson comes." They were now past the wall in front of Admiral Langton's, and far out of sight ofthe man in the cart "There ... sat there for three hours, momentarily expecting their return He had certainly felt chilly, but had borne it patiently; comforted by the joyful expectation ofthe utter dismay that would be felt, ... as they sallied out They went quietly along, until they reached the gate which stood ajar then they flung it open and rushed out To their disappointment, the cart was standing about fifty yards...
... simultaneously tested, the complexity ofthe sample matrix, and the performance ofthe laboratory 8.4.1 8.4.2 Analyze the QC check standard to determine the concentration measured (A) of each ... so that the concentrator tube is partially immersed in the hot water, and the entire lower rounded surface ofthe flask is bathed with hot vapor Adjust the vertical position ofthe apparatus ... exposure ofthe sodium sulfate layer to the air, quantitatively transfer the mL sample extract onto the column using an additional mL of pentane to complete the transfer 11.3.3 Elute the column with...
... enforcement by the Bank of Ghana was not feasible due to the very poor financial condition of most ofthe credit unions operating at the time (Aryeetey 1996) and their inability to fulfill the ... experience of some staff to handle their functions satisfactorily; High turnover of staff (especially those most qualified); Lack of staff understanding of required information, resulting in reports that ... advances to their best customers before the end ofthe month, and in some cases may make loans of up to three months – though their ability to so is constrained by the fact that they generally lack...
... similar in analytical behavior to the compounds of interest The analyst must further demonstrate that the measurement ofthe internal standards is not affected by method or matrix interferences Some ... be performed simultaneously with the DFTPP test 12.4 Column performance test for base/neutrals—At the beginning of each day that the base/neutral fraction is to be analyzed for benzidine, the benzidine ... simultaneously tested, the complexity ofthe sample matrix, and the performance ofthe laboratory If the entire list of single-component parameters in Table must be measured in the sample in Section...