In this paper we consider an inverse problem for the differential equation u t = u xx + q(x, t) u ; the problem amounts to finding the coefficient q(x, t) from the solution of a series of Cauchy problems for this equation, the solution being specified on some manifold. Our main ...
Using also Equation (A.2.2), it turns out that this choice implies an inverse Gaussian shape for the structure function, the power spectrum, and its generalization. Hence, the choice of Gaussian correlation simplifies most of the analytic evaluations involved in the scattered-field computation, and...
In this paper we consider an inverse problem for the wave equation. We prove the solvability of the problem and derive the iterative process for the computation of the approximate solution. We present the results of two numerical experiments....
It is possible also to consider theinverse problem: namely find an actionFsuch that the system has a specific responseu, of interest for some applications. Then asg4is theinverse matrixofh4, it is simpler to use the following equation (1.55)F1F2F3F4=(E−3)u1+u2+u3+u4u1+(E−1)u2...
Theνvalues are the degrees of freedom, and Γ( · ) is the Gamma function. The resultxis the solution of the integral equation where you supply the probabilityp. For more information, seeF Distribution. Alternative Functionality finvis a function specific to theFdistribution. Statistics and Mac...
In order to solve the inverse kinematics (IK) of complex manipulators efficiently, a hybrid equilibrium optimizer slime mould algorithm (EOSMA) is proposed. Firstly, the concentration update operator of the equilibrium optimizer is used to guide the anisotropic search of the slime mould algorithm to...
问3个数学题 1.Find a formula for the inverse of the function.f(x) = e的x次方的9次方 f -1(x)=()2.Find a formula for the inverse of the function.y = 9x的3次方 + 8y=?3.Solve each equation for x.(Enter an exact answer.) (a) ln(ln(x)) = 1 x=()?(b) e的ax次方 =...
Since W=PW^Q, the CZT algorithm can be viewed as an efficient implementation of the following matrix equation: X=PW^QAx. (10) As mentioned above, x is the input vector to the CZT and X is the output vector of the CZT. Supplementary Appendix A gives an example. Because P, Q, and...
It is by now well-known that one can recover a potential in the wave equation from the knowledge of the initial waves, the boundary data and the flux on a part of the boundary satisfying the Gamma-conditions of J.-L. Lions. We are interested in proving that trying to fit the discrete...
A mixed initial boundary value problem for the heat conduction equation is investigated and solved. The problem statement includes three intervals: the first one (0 → T 1 ) describes heating of an internal combustion chamber and the second one ( T 1 → T 2 ), the chamber cooling and ...