Changing type system – one space dimension
On the scattering theory for the cubic nonlinear. one space dimension. Schr\"odinger and Hartree type equations in. 1.
... \{ iu_{t}+ \frac{1}{2}u_{xx}=f(|u|^{2})u , (t, x)\in R^{2} u(0, x)=u_{0}(x) , x\in R , where the nonlinear interaction term is f(|u|^{2})=V*|u|^{2} , V(x)=\lambda|x|^{-\delta} , \lambda\in R , 0<\delta<1 in the ...
17
A geometric approach to stationary defect solutions in one space dimension
... the dimension of the unstable manifold W u (P − ) of P − equals the dimension of the unstable manifold W u (P + ) of P + —which is by definition the case if the original localized structure is of pulse ...
58
On the dimension of Kirichenko space
... negative one, we obtain that the quantity of blocks the left part of Z (r) may be decomposed to is the quantity of cycles the permutation π is decomposed ...
40
Eigenfunctions in Quantum Mechanics We solve the stationary Schrödinger equation in one-space dimension
... The equation above is part of an eigenfunction problem, where ~, m and V (x) are given, and one looks for the eigenfunctions ψ and the eigenvalues E. We said that the equation above is part of an eigenfunction ...
8
"The social dimension of the European Union: a new type of welfare system?"
... uneven Europeanisation within competing notions of subsidiarity Growing and complex cross-country welfare variation will exert strong and direct influence upon the degree and nature of social policy integration at the EU ...
20
4 Forces in One Dimension
... • Is the magnitude realistic? We would expect the magnitude to be on the same order as the block’s weight. 98. Think Critically Because of your physics knowledge, you are serving as a scientific consultant for a new ...
26
Quantum mechanics in one dimension
... the one-dimensional system, the classical counterpart of this problem is trivial: For particle energies which exceed the maximum potential, all particles are eventually transmitted, while for energies which ...
9
Smart Space a new dimension of context
... context-aware system capable of aggregating and process a variety of context ...context-aware system, domain knowledge is very much tied to applications; we resolved that building vertical solution was not ...
6
Game Changing: NASA's Space Launch System and Science Mission Design
... metric tons (t) to LEO and be evolvable to 130 t or more; and lift the Orion MPCV. [2] The SLS and Orion are fundamental building blocks in a capability-based architecture designed for long- term human exploration of ...
13
Assouad type dimensions and dimension spectra
... 8 Self-affine carpets Self-affine sets are an important class of fractal subsets of Euclidean space. They are at- tractors of finite iterated function systems consisting of affine contractions. Due to the fact ...
110
Patch dynamics for macroscale modelling in one dimension
... contributes one data point in space to the macroscale ...both space and time in which case projective integration [13] simulates forward in time, or the so-called recursive projection method performs ...
16
Changing One Type of Marital Property into Another Type
... The court acknowledged that by the method employed and the language of the deeds, they could have conveyed the wife's separate interest to the husband as his separat[r] ...
15
Polynomial space completeness of reachability for succinct branching VASS in dimension one
... polynomial space. Since it is impossible to maintain, in polynomial space, all nodes of the run in the memory, we only maintain the ancestors of the currently processed node whose other child was not ...
14
THE DIMENSION OF A VECTOR SPACE
... The theorem says that once there is a finite spanning set, which could have lots of linear dependence relations, there is a basis for the space. Moreover, the theorem tells us a basis can be found within any ...
6
Dimension of the speech space
... If it should turn out that the amount of crinkle for the Kohonen grid is significantly less for the speech space than for a random collection of points drawn uniformly[r] ...
9
Motion in One Dimension
... in one dimension: Motion of an object in a straight line is called one dimensional (1-D) ...in one dimensional motion can be described by only one variable (say ...only one ...
13
Kinematics in One Dimension
... as one of the motion parameters in the kinematics equations; for example, the final velocity (v) after travelling to the peak would be assigned a value of 0 ...
16
3-Motion in One Dimension and Two Dimension
... Q21. A bullet fired at an angle of 30 with the horizontal hit the ground 3 km away. By adjusting its angle of projection, can one hope to hits a target 5 km away. Assume the muzzle speed to be same and the air ...
16
Dimension and structure of the speech space
... Similarly, the results for a space of 16 LPC coefficients are shown in Fig. By comparison, the results for 12-dimensional random noise are shown in Fig. 5, where they are compa[r] ...
6
Transmission Eigenvalues in One Dimension
... One can check directly that the root is indeed triple in this case. Proof of Theorem 8. We only prove the theorem for p o m , as the proof for p e m is analogous. Item 1a follows immediately from item 1 of ...
16