Admissibility condition

But the major difference stands in the fact that for the CWT the analyzing fimctions called wavelets if they satisfy to the admissibility condition [3], are located both in time and frequency. 

As an admissibility condition, the heat flow per unit area must be consistent with local conservation of energy, which gives... 

Admissible condition means the presence of microcracks in claddings through which gaseous and volatile fission products (noble gases, iodine isotopes) are released to coolant. 

Many SFAs actually stored in Andreeva Bay (> 50%) were unloaded from reactors in inadmissible and admissible conditions. This means that appreciable proportion of SFAs is presently imsealed according to the CLT results, among the inadmissible condition category considerable depressurization characterizes 25-30% SFAs. 

Often the admissibility condition is fulfilled, when the wavelet has no dc component. 

The wavelet is the product of a complex exponential with frequency o>o and a Gaussian with variance oq. The function g(t) is necessary to enforce the admissibility condition. 

For a wave-like function to be considered a wavelet it must fulfil certain mathematical conditions. The most important conditions are admissibility and regularity (Mallat 1999). Admissibility condition, expressed as... 

The practical implementation of the wavelet transform is not determined yet, since Eqs. 13 and 14 still define a large set of orthonormal wavelet basis. Since admissibility condition states that the behaviour of the Fourier transform of a wavelet is... 

As a consequence it is necessary to study heat regime in reaction zone and to reveal the ways of effective regulating of temperature profile in tubular turbulent apparatus under realization of fast chemical processes at the expense of external heat removal in technically admissible conditions. 

The paper present the product of Romanian conception which was used having remarkable results both for the parietal stabilization concerning some previous lateral faults, and also for the cases when there was a smaller fault ( resection of two ribs) for which it was considered as obligatory the assuring of the stabilization especially because of the patients age or the breathing function alteration as well as the correlation with the international evolution of these category of products, level of biomedical and biofunctional performances, admissibility condition imposed by the European laws in force regarding the fabrication and conunercialization. 

The wavelet can be positioned anywhere and scaled to any value for optimal fitting of the signal f x). The admissibility condition requires that only wavelets of certain character are capable of the reverse wavelet transform as described by Eq. [5]. It does not restrict the wavelets capable of the forward wavelet transform. In fact, many useful wavelet applications use wavelets that make the reverse transform impossible. 

Hajilouy-Benisi, A. Rad, M. and Shahhosseini, M. R. Modeling of twin-entry radial turbine performance characteristics based on experimental investigation under full and partial admission conditions. Scientialranica, Transact. B Mech. Eng. 2009,16(4), 281-290. 

Substituting here the corresponding geometrical and constitutive relations of Sections 1.1.3 and 1.1.4, we obtain H = H(17, w). The set of admissible displacements K is defined by the boundary conditions at F and nonpenetration conditions at the crack F, stated in Section 1.1.7. The variational form of the equilibrium problem is the following ... 

Concentration limits of the diphosphate-ion, admissible to determination of magnesium and cobalt, manganese and cobalt, zinc and cobalt by spectrophotometric method with application of the l-(2-pyridylazo)-resorcinol (PAR) are presented. Exceeding maintenance of the diphosphate-ion higher admissible supposes a preliminary its separation on the anionite in the H+-form. The optimum conditions of cobalt determination and amount of the PAR, necessary for its full fastening are established on foundation of dependence of optical density of the cobalt complex with PAR from concentration Co + and pH (buffer solutions citrate-ammoniac and acetate-ammoniac). 

If a motion is specified with satisfies the continuity condition, the velocity, strain, and density at each material particle are determined at each time t throughout the motion. Given the constitutive functions (e, k), c(e, k), b( , k), and a s,k) with suitable initial conditions, the constitutive equations (5.1), (5.4), and (5.11) may be integrated along the strain history of each material particle to determine its stress history. If the density, velocity, and stress histories are substituted into (5.32), the history of the body force at each particle may be calculated, which is required to sustain the motion. Any such motion is termed an admissible motion, although all admissible motions may not be attainable in practice. 

Smooth starts are possible with steam turbine installations that include an auxiliary boiler because the startup phases of the turbocompressor can be matched to different plant operating conditions. Aside from process-related timing issues, the time elapse or machinery startup duration is generally determined by the temperature gradients admissible on both steam turbine and expander. These factors are influenced by the relative expansion rates of the fixed and rotating components in these machines. 

The basis for the determination of an upper bound on the apparent Young s modulus is the principle of minimum potential energy which can be stated as Let the displacements be specified over the surface of the body except where the corresponding traction is 2ero. Let e, Tjy, be any compatible state of strain that satisfies the specified displacement boundary conditions, l.e., an admissible-strain tieldr Let U be the strain energy of the strain state TetcTby use of the stress-strain relations... 

Consideration shonld also be given to the possibility that the flame arrester may ping, which conld prodnce a vacnnm condition in a low-pressnre tank when the tank is primped out, and implode (collapse) the tank. This may reqnire the installation of a vacnnm breaker or a pressnre-vacnnm conservation valve. If the tank contents are flammable and admission of air may resnlt in an ignitable mixture, it may be necessary to install an inert gas blanketing system on the tank, actuated by a pressnre controller, which would admit a sufficient flow of inerting gas when a vacnnm condition is detected. 

We shall adopt Eqs. (9-510) and (9-511) as the covariant wave equation for the covariant four-vector amplitude 9ttf(a ) describing a photon. The physically realizable amplitudes correspond to positive frequency solutions of Eq. (9-510), which in addition satisfy the subsidiary condition (9-511). In other words the admissible wave functions satisfy... 

It therefore follows from the transversality condition [Eq. (9-516)] that a physically admissible wave function u(k) can only be spacelike or a multiple of k , since k is a null vector. In the coordinate system in which... 

The constants are free to be chosen from the initial or boundary conditions, since 7 0 for all admissible subscripts i and m. 

Conditions (l)-(3) in combination with the solvability requirement single out a family of admissible schemes known as a primary family from the set of all possible schemes (1). Observe that condition 1) can be weakened in a number of different ways. Sometimes we will deal with operators A and B, which are dependent on t, that is, withA = A t) and B = B t). 

When the reaction was performed in the microreactor, the maximum conversion of 97.0 % was attained when the flow rate of Boc-AMP solution was 9 ml/min and the molar equivalents of KOH to Boc-AMP was 13 as shown in Fig. 1. Optimum operating conditions were obtained from a statistical method by using factorial design [6]. The yield decreased over the KOH equivalency of 13 in Fig. 1, since the phase separation between the t-Boc20 and the aqueous phase was observed due to the increased water content with increasing KOH equivalency. As the heat transfer performance of the microreactor was greatly improved compared with conventional reactors, higher reaction temperature could be admissible. 

Steady state and non steady state kinetic measurements suggest that methane carbon dioxide reforming proceeds in sequential steps combining dissociation and surface reaction of methane and CO2 During admission of pulses of methane on the supported Pt catalysts and on the oxide supports, methane decomposes into hydrogen and surface carbon The amount of CH, converted per pulse decreases drastically after the third pulse (this corresponds to about 2-3 molecules of CH< converted per Pt atom) indicating that the reaction stops when Pt is covered with (reactive) carbon CO2 is also concluded to dissociate under reaction conditions generating CO and adsorbed... 

This simplification is admissible only for sufficiently small values of ZjF f/RT for instance, it is correct within 10% for values of /q < RT/2zjF = 2.5lzj mV. Although Eq. (A.5) is limited in its range of application because of this restriction, it is conditionally used as well at higher values of l /ol. 

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