... link the MSRL based on the hypothesis test approach (see Result 1) to the MSRL based on the CRB approach (i.e., the extended SRL based on the Smith criterion) The Smith criterion: Since the CRB ... approximated by the CRB, then, the SRL, in the Smith criterion sense, is defined as thelimit of δω(1) for which δω(1) < CRB(δω(1) ) is achieved This means that, the SRL is the solution of the following ... A, • A* = the complex conjugate of the matrix A, Page of 14 • AH = (A*)T, • tr {A} = the trace of the matrix A, • det {A} = the determinant of the matrix A, • ℜ{a} = the real part of the complex...
... accessibility of the former within the framework of mean-field theory, as well as the finite connectivity of the latter Interest in these models has intensified lately since they occur in the context ... ‘energy’ states On the other hand, there is only one way of covering the graph with the + + + state, which of course corresponds to the global minimum of the ‘energy’ It is therefore more probable ... equilibrium at the dynamical transition temperature Furthermore, the energy will get stuck at the energy at which the transition occurs Since this phenomenon is the result of the drastic change in the geometry...
... compaction in the jamming limit, that the most compact configurations should be the most visited; and, on the other, the flatness hypothesis of Edwards, which states that for large enough systems, the macroscopic ... and the strict absence of one, the site n ‘looks like’ a point of perfect packing The grain at depth n then has the freedom to point the ‘wrong’ way; we call such sites excitations, using the thermal ... p(C) is the probability that the system is in the orientation configuration C in the steady state, and the sum runs over all the 2n configurations of a system of n grains This can be estimated theoretically...
... that the zeroes form a smooth submanifold The estimate uses a new type of weight, which measures the changes of the distance to the zeroes of the imaginary part along the bicharacteristics of the ... derivatives (compared with the elliptic case) The proof involves a new metric in the Weyl (or Beals-Fefferman) calculus which makes it possible to reduce to the case when the gradient of the imaginary part ... part between the minima of the curvature of the zeroes By using condition (Ψ) and the weight, we can construct a multiplier giving the estimate Introduction In this paper we shall study the question...
... effective Reducing the Threat by Raising Awareness The first step in limiting the threat from these systems is to raise awareness of the threat In all cases, key groups need to understand the capabilities ... response for the other weapon systems we have analyzed, it appears to us to be insufficient for limiting the threat from these future, advanced mortars Acknowledgments The authors appreciate the thoughtful ... change the perception of the weapon’s utility to the groups they study Ideally, a control regime would make the controlled system thoroughly unattractive to terrorists Combined with the direct limitations...
... on the objectives of the project? Team Membership What percent of the team is fully dedicated to the project? Is the project manager dedicated to this project? What is the experience level of the ... to respond to these risks, but to mitigate them from the start No Major Impact Do not spend time on these Keep your eye on these in case their ‘no impact’ assessment changes Figure The goal of ... stage The vision for the project is developed, key goals are established, leadership for the project is selected and a project charter is issued The project charter sets the stage for the direction...
... consent") then, in the case in which B consents, the results would be the same as under the harm principle, and the distinction would collapse from the other direction Clarity requires that the two ... participation the government could not it either The loss to the great majority would be a harm to their interest in security, and the compulsion of the others is meant to protect the majority ... the aim of preventing people from suffering harm at their own hands, or with their own consent at the hands of others, and partly for other reasons, for example the desire to protect still other...
... carefully the magnitude of the nuisance to the one against the reasonableness of the conduct of the other, and the necessity "that all may get on together." In his philosophically rewarding text on the ... Principle, On the scales: the seriousness of the offense, 25 On the scales: the reasonableness of the offending conduct, 37 Reading the balance, 44 Cultural change and the martyrdom of the premature, ... struck by the courts, other things being equal, between the uses to which the plaintiff and the defendant put their property when the uses are incompatible If the plaintiff's "use" during the night...
... denotation of the head noun; I will call it the source of the quantification In the case of an NP without central determiner the source is the denotation of the head noun For the indication of the quantity ... instance, whether every one of the boys lifted the chairs or all the boys together lifted the chairs The quantifiers 'all' and 'each (of)' thus both indicate complete involvement of the source, ... distributions Consider the sentence (7) duals) The quantification then predicates the source involvement of the set of those elements of the quantification domain, defined by S and the distribution,...
... could be grouped together on the basis of their having a large number of words common among themselves The number of groups was arbitrarily fixed at ten The contents of the ten groups were as ... equivalent Wk and the Group N have occurred together The joint frequency measure of the combined occurrence of the target equivalent Wk and the Group N is denoted by p(Wk,N) or p(N,Wk) The values of ... merit which allows the selection of one of the target equivalents as the most probably correct meaning in the given context Since the method depends upon the availability of the probability measures...
... system The roles and the structure of the Al ions and the valence state of the luminescent Bi ions were examined The following are the roles and the structure of the Al ions: 1) to assist the configuration ... with almost the same binding energy of the Bi2O3 ones In fact, although we measured the XPS data on the NaBiO3 several times, the ratio of the main peaks corresponding to Bi2O3 to the second peaks ... Kinomura et al 1995) Therefore, the existence of the Bi5+ state is also indicated from the Bi-O distance in BiSG, and the first coordination sphere corresponds to the Bi5+-O distance The second coordination...
... proportional to the square of the distance (from the location of the lidar to the point at which the scattering occurs) The transmitted beam and the backscattered echo are attenuated by the atmospheric ... constituted due to the thermal lensing limit Because of negative thermal dispersion of Tm:YLF the cavity achieves stability limit for nearly 20-W of incident pump power The results of the Q-switching ... of the other two type lidars at the nearest distance This effect is due to the similarity between the intensity distribution of the annular beam and the receiver’s efficiency distribution in the...
... experiment in the next section Therefore, the scenario of the lightning detection using the lidar system is designed as follows At first the system roughly scans the sky in the direction in which the occurrence ... to the reference mirror and the other goes to the gauge block attached to the platen The reflected lights interfere with each other, and are observed by the CCD camera In order to compensate the ... indicates the ability for the detection of the small rotation angle of degree Figure 7-5 shows the balance and the accuracy of the echo intensities in the high precision polarization lidar by the atmospheric...
... comparable with the distance between the centre of the beam and the edge of the slab input face, i.e θL/2 On the other hand, when increasing the angle θ there is a possibility that the beam width ... (0.9-mm focal length) Being the thickness W of the gain sheet set by the pump focusing lens and limited by the residual smile of the laser diode, the depth of the gain sheet in the horizontal plane ... spark plug The vertical lines show the A/Fs The values become high toward the bottom which means the mixtures become leaner ER is equivalent ratio, the value that broke the A/F (15.2) of the stoichiometric...
... efficiency or higher resolution from 3ps, 0.6nm to 14ps,0.15nm at 800nm The principal limitations are : the limited length of the crystal limiting the temporal window, the propagation of the acoustic ... where N is the pixels number, δΩ is the frequency extent of a the pixel pitch, S(x) is the spatial profile of the input pulse, r the ratio between the pixel size and the pixel pitch, h(t) the ideal ... calculated, smoothed by the Lorentzian, and discretized according to to the voltage resolution of the device So the estimation of the mask modulation can include the non-linear dispersion, the pixelization...
... parameters, the altitude and the azimuth The altitude γ is the angle between the direction of the incoming rays and the direction of the grooves It defines the half-angle of the cone into which the light ... is the FWHM divergence of the source, c is the speed of light in vacuum and qin is the length of the input arm of the collimating mirror, i.e the distance between the source and the center of the ... function of the delay between the XUV and IR pulses The dots are the experimental results TX is the retrieved XUV pulse duration The off-plane mount of the gratings is the core of the design of the TDC...
... calculated for different values of the distance S The GDD is then defined as the derivative of the group delay with respect to the frequency The higher effects on the phase of the pulse can be analogously ... both spectra The appearance of the plateau in the spectrum indicates that these harmonics are generated in the non-perturbative regime Therefore the cut-off energy of the harmonics from the laser ... qualitatively by the fact that there is a finite distance between the nucleus and the tunnel exit (Fig 1); the electron which has returned to the position of the tunnel exit is further accelerated...
... 2007) The demand on and the emphasis to the understanding of the ultrafast phenomena and the control of them is ever increasing The Department of Energy of the United States of America asked the ... laser plasma Here, the Z-axis is the axis of propagation of the driving beam, and the X-axis is the axis vertical to the Z-axis This axis is defined by the walk-off direction of the second harmonic ... the amount of ionisation within the waveguide will profoundly affect the SXR output This is due to its effects on the propagation of the laser mode and the phase matching via the changes in the...
... throughout the bunch The both centers of the electron bunch and the laser meet at the center of the focus (z=0) The radiation is detected at the angle of θ = Figure 21 (a) shows that the width of the ... by the speed of light In the above formula, the beam velocity and the axis of the spatial distribution of the beam have the same ˆ directions and directed to +z, but below, the direction of the ... of the field amplitude on the slits and the relative phase difference for the path from the slits to the detector The ionization of the electron over space and time creates several paths for the...
... subspaces in CNt The form of quantization in (2) minimizes the angle between the normalized channel vector hu / hu and the entries of the codebook Under the zero-forcing criterion, the transmit beamforming ... ensures that the local codebook contains the root vector The structure of the root vector is used to define scaling and rotation operations The presence of the root vector also ensures that the codeword ... from e1 to v The radius of the codebook captures the overall region occupied by the local codebook while the covering radius captures the minimum radius of a ball that would cover all the Voronoi...