Difference Greens function

Due to its importance the impulse-pulse response function could be named. .contrast function". A similar function called Green s function is well known from the linear boundary value problems. The signal theory, applied for LLI-systems, gives a strong possibility for the comparison of different magnet field sensor systems and for solutions of inverse 2D- and 3D-eddy-current problems. 

Difference Green s function. Further estimation of a solution of the boundary-value problem for a second-order difference equation will involve its representation in terms of Green s function. The boundary-value problem for the differential equation... 

The exponential term which represents the effect of a point source is sometimes called the influence function or Green function of this diffusion problem. The method of sources and sinks easily produces solutions for an infinite medium or for systems of finite dimension when their boundary is kept at zero concentration. Different boundary conditions require a more elaborate formulation (Carslaw and Jaeger, 1959). 

Analytical arrays typically use molecules that are able to capture and bind to proteins from a complex protein mixture. For instance, antibodies, antigens, carbohydrates or small molecules are spotted onto a derivatised surface. The typical approach used is that two protein populations from different biological states are compared - one set is labelled with a red fluorescent dye, the other labelled with a green fluorescent dye they are mixed, and then incubated with the chips. Each spot in the array is then analysed for the relative quantities of the two dyes. This information can lead to insights regarding structural and functional differences between... 

Imai, H., Imamoto, Y., Yoshizawa, T., and Shichida, Y., Difference in molecular properties between chicken green and rhodopsin as related to the functional difference between cone and rod photoreceptor cells. Biochemistry, 34,10525, 1995. 

In Fig. 3a,b are shown respectively the modulus of the measured magnetic induction and the computed one. In Fig. 3c,d we compare the modulus and the Lissajous curves on a line j/ = 0. The results show a good agreement between simulated data and experimental data for the modulus. We can see a difference between the two curves in Fig. 3d this one can issue from the Born approximation. These results would be improved if we take into account the angle of inclination of the sensor. This work, which is one of our future developpements, makes necessary to calculate the radial component of the magnetic field due to the presence of flaw. This implies the calculation of a new Green s function. 

In Equation (4.12) the discretization of velocity and pressure is based on different shape functions (i.e. NjJ = l,n and Mil= l,m where, in general, mweight function used in the continuity equation is selected as -Mi to retain the symmetry of the discretized equations. After application of Green s theorem to the second-order velocity derivatives (to reduce inter-element continuity requirement) and the pressure terms (to maintain the consistency of the formulation) and algebraic manipulations the working equations of the U-V-P scheme are obtained as... 

However, the Green s function of the bath Gb(t, t ) = 5 Z/5Q(t)5Q(t ) may have a form quite different from a single-phonon Green s function and may exhibit a strong temperature dependence. It would be interesting, for example, to see explicitly how this kernel, say, for a liquid, reduces to the phonon Green s function but with temperature-dependent parameters so that the friction coeflScient rj depends on temperature. To the authors knowledge this has not been done as yet. 

---