一个内半径为r_1,内外半径之差为\Delta r的圆环的面积S_1 = \pi (r_1 + \Delta r)^2 - \pi r_1^2;一个内半径为r_2,内外半径之差为\Delta r的圆环的面积S_2 = \pi (r_2 + \Delta r)^2 - \pi r_2^2。 当\Delta r趋近于0的时候,两个圆环的面积之比为: \begin{align*} & \
(2D) block processed by 2D cosine transform, the positions of zero data (shown in black star mark) and non-zero data () in the 2D block of coefficient data are detected and the operation of rows R or columns C in which the coefficient data of all rows R or columns C in the 2D ...
Note that the Laplace transform method enables us to handle the nonhomogeneous equation and initial conditions all at once. Now let's see what the Laplace transform method does in an important applied problem that we first saw as Example 2.2.5. Example 5.2.2 Solving a Circuit Problem via ...
Since in this section we only consider causal signals, the region of convergence will be assumed known and will not be shown with the Laplace transform. The most common inverse Laplace method is the so-called partial fraction expansion which consists in expanding the given function in s into a...
Discrete cosine transform system and discrete cosine transform method A discrete cosine transform system and discrete cosine transform method enables speeding up and restricts increasing of system scale size associating with speeding up in a system realizing discrete cosine transform and inverse discrete c...
Making use of the inverse scattering transform method (ISTM), we have solved the Zakharov–Manakov problem for the stimulated Brillouin backscattering (SBBS) of a laser pulse by a fluctuation, the envelopes of both being rectangular. The results are consistent with those obtained by Kaup and co...
_transform(X, self.components_) def _inverse_transform(self, code, dictionary): """Private method allowing to accommodate both DictionaryLearning and SparseCoder.""" code = check_array(code) # compute number of expected features in code expected_n_components = dictionary.shape[0] if self....
Let us consider the Fourier transform method for solving the linear partial differential equation. It is known that the Fourier transformation converts this equation into a linear ordinary differential equation, which can be easily integrated. Thus we obtain the evolution of Fourier components of the...
12.1.1 Inverse scattering transform The inverse scattering transform is a nonlinear analog of the Fourier transform (see Section 3.2). In general, this method can be applied to solve many linear partial differential equations. Unlike the direct scattering method, where the scattering matrix is constr...
4. Verfahren nach einem der vorhergehenden Ansprüche, gekennzeichnet durch Abspeichern von im Schritt c) invers transformierten DC-Koeffizienten von Teilblöcken eines Makrobildblocks in einen dritten Matrixregisterspeicher (11) und schrittweises Übertragen von ausgewählten invers transformier...