[t,y,te,ye,ie] = ode45(odefun,tspan,y0,options)additionally finds where functions of(t,y), called event functions, are zero. In the output,teis the time of the event,yeis the solution at the time of the event, andieis the index of the triggered event. ...
Taking advantages of its differentiation capability, when this chip is incorporated into conventional imaging systems as a substrate, it enhances the edges of features in optical amplitude and phase images, thus expanding the functions of standard microscopes. This planar chip offers the advantages of ...
Note: All functions are included at the end of the example as local functions. Code Boundary Conditions The boundary condition function requires that the boundary conditions are in the formg(y(a),y(b))=0. In this form, the boundary conditions are ...
(49) can be found using variation of parameters to be given by the equation (50) where and are the homogeneous solutions to the unforced equation (51) and is the Wronskian of these two functions. See alsoAbel's Differential Equation Identity, Adjoint, First-Order Ordinary Differential...
On the lower bounds of the second order nonlinearities of some Boolean functions The rth order nonlinearity of a Boolean function is an important cryptographic criterion in analyzing the security of stream as well as block ciphers. It i... S Gangopadhyay,S Sarkar,R Telang - 《Information Science...
functions of order statistics. In 1818, Laplace obtained (essentially) the distribution of therth-order statistic in random samples and also derived a condition on the parent density under which the median is asymptotically more efficient than the mean. Other topics considered are of more recent ...
The mathematical foundation of quantum mechanics is built on linear algebra, while the application of nonlinear operators can lead to outstanding discoveries under some circumstances, such as the prediction of positron, a direct outcome of the Dirac equa
首先我们记 \mathbf{x}^*\in\text{arg min}_{\mathbf{x}\in\mathcal{K}}\sum_{t=1}^Tf_t(\mathbf{x}), \nabla_t\triangleq\nabla f_t(\mathbf{x}_t)。 由目标函数的凸性可以得到: f_t(\mathbf{x}_t)-f_t(\mathbf{x}^*)\le \nabla_t^\top(\mathbf{x}_t-\mathbf{x}^*)\qquad...
4.4.径向核的零点(Zeros of radial kernels) 径向核的零点个数与矩捕捉图像高频信息的能力有关。对于n阶FJFM径向核 J_n(\alpha,p,q,r ) ,在区间(0,1)上有n个不同的根。因此,FJFM径向核的零点个数等于OFMM [14]、CHFM [15]、JFM [16]和PJFM [17]的零点个数。
In , α is the quotient of odd positive integers. As an application, we get the difference equation , where , , and is any real number, is oscillatory.关键词: Gaussians Inverse multiquadrics Smoothing Approximation Error bounds Radial basis functions Convergence orders DOI: 10.1155/2010/103065 ...