... the followings, we will shortly present the procedure of determination and approximation ofthe domain of attraction using the function V presented in [2, 3] The region of convergence D0 ofthe ... m−2 k =0 therefore the domain of convergence ofthe series (1.6) is D0 = (−1,1) ⊂ Da (0) More, V (x) → ∞ as x → and V (−1) < ∞ The radius of convergence ofthe power series expansion of V in −1 ... and x ∈ Da (0) Therefore, the ball B(R) is contained in the domain of attraction of Da (0) c Theorem 3.7 Let be p ≥ For any c ∈ (0,(p + 1)R2 ], the set N p is included in the domain of attraction...
... various methods proposed forsolvingthe TSP and the VRP in the literature is provided 2.1 Approaches forSolvingthe TSP The TSP is a VRP in its simplest form To date, it remains one ofthe most ... assumed that the delivery is performed before the pickup for each customer location, and therefore, the current load ofthe vehicle before arriving at a given location can be calculated by the initial ... the earliest formulations of TSP in 1954 In their formulation, cii = +∞ for i = 1, 2, … n , where n denotes the number of vertices The integer linear programming problem can be formulated as...
... iterative methodsforsolving this system of extended general variational inclusions Several special cases of these iterative algorithms are also discussed We also prove the convergence ofthe proposed ... and offers several opportunities for future research For example, see 5, and the references therein, forthe applications of recurrent neural network regarding the extended general variational ... characterized by the extended general variational inequality 2.6 Forthe neural network technique forsolving 2.6 , see 5, In particular, for suitable and appropriate choice ofthe operators,...
... Figure 1: An example of above involution for n = 6, α = 1, β = 3, the tree on the left side is ofthe first class while the other belongs to the second class For simplicity ofthe remaining presentment, ... classes for n > 0, i ≥ 0: • The first class consists of trees in which there is at least one colored leaf in the lowest two levels (the two levels furthest to the root) and to the left of which ... noncombinatorial proof of (2) by a modified Riordan array theorem derived from theorems in Sprugnoli et al [5] Also we refine the formula for Cβ,γ (n) with aids of a Gould classes of inverse relation...
... practices of government staff of different types of HIV/AIDS services included unsympathetic attitudes to them and other vulnerable groups, the withholding of services and the demanding of informal ... contributed to analysing the findings to reduce bias and enhance the internal validity ofthe synthesis The synthesis involved a five-stage process: 1) Country data in theformof transcripts and field ... comment on the specific HIV/ AIDS service they were using at the time ofthe interview; how and why they started to use the service; key access barriers and the effects of these problems on their...
... interpretations ofthe term “biodegradability,” the different approaches are therefore not equivalent in terms of information they provide or the practical significance Since the typical exposure ... variations of this general view ofthe biodegradation process can occur, depending on the polymer, the organisms, and the environment Nevertheless, there will always be, at one stage or another, the ... also called the biochemical (or biological) oxygen demand (BOD), is therefore a measure ofthe degree of biodegradation Several test methods are based on measurement ofthe BOD, often expressed...
... stage approach First, a proof of existence and uniqueness ofthe solution ofthe IVP is performed by calculation of guaranteed a priori enclosures of all reachable states in the time interval between ... Comparison of results forthe double pendulum (cont’d) compared by the ratio between the pseudo volume (product ofthe interval diameters of all components of a state vector) of VNODE and the pseudo ... and for shut down Often, switching points themselves are state-dependent and unknown a priori Thus, the assumption of continuous differentiability ofthe state equations might be violated Therefore,...
... 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 parameters in Table ... 12.6 Identify the parameters in the sample by comparing the retention time ofthe peaks in the sample chromatogram with those ofthe peaks in standard chromatograms The width ofthe retention ... size; however, the experience ofthe analyst should weigh heavily in the interpretation of chromatograms 12.7 If the response for a peak exceeds the working range ofthe system, dilute the extract...
... upon the number of parameters being simultaneously tested, the complexity ofthe sample matrix, and the performance ofthe laboratory 8.4.1 Prepare the QC check standard by adding 10 µL of QC ... criteria, the system performance is acceptable and analysis of actual samples can begin If either s exceeds the precision limit or falls outside the range for accuracy, the system performance ... unacceptable for that parameter Locate and correct the source ofthe problem and repeat the test for each compound of interest The laboratory must, on an ongoing basis, spike at least 10% ofthe samples...
... established performance criteria to determine if the results of analyses meet the performance characteristics ofthe method When results of sample spikes indicate atypical method performance, a ... NOTE: The frequency forthe required analysis of a QC check standard will depend upon the number of parameters being simultaneously tested, the complexity ofthe sample matrix, and the performance ... characteristic masses of each parameter of interest must maximize in the same or within one scan of each other 12.1.2 The retention time must fall within ±30 seconds ofthe retention time ofthe authentic...
... NOTE: The frequency forthe required analysis of a QC check standard will depend upon the number of parameters being simultaneously tested, the complexity ofthe sample matrix, and the performance ... heavily in the interpretation of chromatograms 11.6 If the response for a peak exceeds the working range ofthe system, dilute the extract and reanalyze 11.7 If the measurement ofthe peak response ... 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 and the...
... conjugated to the rotations As we said, forthe proof we show how to adapt the proof of Moser to our setting So, we have τ = in formula (1.3) of page 106 of [Mo] On page 115 of [Mo] formula (3.5) ... essentially the idea ofthe proof ofthe Hartman-Grobman theorem 104 FEDERICO RODRIGUEZ HERTZ Let us prove it forthe case of σ = cu, the case of cs works as well Denote F = A + ψ and let us solve the ... = N − 1, |nc | ≥ |n|c for any n ∈ ZN , n = r+δ Proof Call λ the eigenvalue with modulus and ek the standard basis of Then, because oftheformof A we have Ak e1 = ek+1 for k = 0, , N − So,...
... pending in the High Court of Delhi will 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 ... PAGINATE THEIR 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 ... STATE OFTHE NCT OF DELHI ( Regular Matters) SUMER KUMAR SETHI (DHCLSC) FOR 11.2.2013 11 P.S.-FIR No :(SANGAM VIHAR-615/2007) CRL.A 539/2011 | PAWAN KUMAR [5-5-20] | Vs STATE OFTHE NCT OF DELHI...
... which is the array of weights used to combine the pixels from the long and the short image In the case of these combined images the error (ERR) array contains the standard deviations ofthe weighted ... intentionally overexpose the core ofthe Balmer lines from the central star in the long exposure in order to obtain greater signal in the wings ofthe lines and the fainter parts ofthe surrounding nebula ... Users Manual These values roughly correspond to the average noise computed from the pixel values in the unexposed portions ofthe CCD However, users should be aware ofthe origin of these values...
... from the administered [75Se]Der p2, indicate together with its own remaining intact levels (the 16 kDa band) that the clearance and further metabolism ofthe allergen was altered as a result ofthe ... Th2-type of T-cell response to the sensitizing allergen Although the relevance of experimental mouse models as a description for human allergic disease may be questioned, they offer excellent tools for ... airways of Der p 2-sensitized and nonsensitized mice The fate ofthe allergen could be followed in vivo both at the whole-body level and at the molecular level, through the application of a newly...
... 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 of interest beginning ... NOTE: The frequency forthe required analysis of a QC check standard will depend upon the number of parameters being simultaneously tested, the complexity ofthe sample matrix, and the performance ... Collect the chloroform extract in a 250 mL separatory funnel 10.3 Add a-50 mL volume of chloroform to the sample bottle and repeat the extraction procedure a second time, combining the extracts in the...
... NOTE: The frequency forthe required analysis of a QC check standard will depend upon the number of parameters being simultaneously tested, the complexity ofthe sample matrix, and the performance ... 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 of interest beginning ... heavily in the interpretation of chromatograms 12.6 If the response for a peak exceeds the working range ofthe system, dilute the extract and reanalyze 12.7 If the measurement ofthe peak response...
... bar hydrogen In the course of Fig Bioenergetics of formyl-methanofuran synthesis in cell suspensions of M thermautotrophicus Cell suspensions of M thermautotrophicus grown in the chemostat at ... from the opposite direction, notably CO2 formation from formaldehyde By measuring the rates of CO2 formation and sodium ion extrusion, Kaesler and Schonheit [7] concluded that formyl-methanofuran ... bar In the analyses, formylmethanofuran was always the major species, even at the low hydrogen concentrations (Table 2) This implies that formylmethanofuran synthesis should be driven We then compared...
... direct problems for differential equationsof somecombined type, the new problems arising in momentum theory and the theory of approximation, the new types of ¯ linear and nonlinear integral ... related direct problems In spite ofthe fact that the time-dependent system ofthe NavierStokes equationsofthe dynamics of viscous fluid falls within the category ofequations similar to parabolic ... are proved Conditions for applications of these theorems are easily formulated in terms ofthe input data ofthe initial transport equation The book provides a commonsetting of inverse problems...
... taking their jackets and shoes in their hand, stole out ofthe door at their end ofthe room, and closed it behind them They then crept downstairs to the room where their caps were kept, put on these ... out at the top, and get on to the floor, it might bite a dozen of us I will hold the clothes down tight, on one side, if someone will hold them on the other." One ofthe other boys came forward, ... half ofthe men ofthe garrison were strong enough to carry a firelock, and perform their duty The providential capture of a vessel laden with oranges and lemons checked the ravages ofthe scourge;...