LQG

Prueba1 FletcherReeves Hernández Santiago José Maestría en Ciencias de la Computación Septiembre / 2011 1. Comenzar con un punto arbitrario 2. Calcular Gradiente de Fi 3. Si el Gradiente Fi es igual a 0(converge), termina 4. Si el Gradiente Fi es !=0 continuar 5. Encontrar dirección de búsqueda Si= -GradienteFi= - Gradiente F(Xi) 6. Determinar la Longitud Optima del incremento lamda(i) en dirección Si X(i+1)=X(i)+lamda(i)*S(i)= X(i)-lamda(i)*Gradiente F(Xi) 7. Hacer i=2 8. Obtener Gradiente Fi 9. Calcular Si= -GradFi + ( [abs(GradFi)^2]/[abs(GradF(i-1))^2] )*S(i-1) 10. Determinar la Longitud Optima del incremento lamda(i) en dirección Si X(i+1)=X(i)+lamda(i)*S(i)= X(i)-lamda(i)*Gradiente F(Xi) 7. Verificar Optimalidad de X(i+1) Si es optimo, detener Si no es optimo hacer i=i+1 e ir al paso 8

模拟退火算法来源于固体退火原理，将固体加温至充分高，再让其徐徐冷却，加温时，固体内部粒子随温升变为无序状，内能增大，而徐徐冷却时粒子渐趋有序，在每个温度都达到平衡态，最后在常温时达到基态，内能减为最小。 (Simulated annealing algorithm derived from solid annealing principle, the solid is heated to a sufficiently high, let it cool slowly, when heated, solid particles with temperature becomes disordered state, the internal energy increases, while slowly cooling the particles gradually increasingly ordered at each temperature to reach equilibrium, and finally reach the ground state at normal temperature, which can be reduced to a minimum.)

本程序详细描述了电磁波在水下传输的衰减模型，随着频率的增加，信号衰减愈加明显。(This procedure describes in detail the electromagnetic wave transmission attenuation model of underwater, with the increase of frequency, signal attenuation are becoming ever more obvious.)

希尔伯特变换的c程序完整代码，可以实现相应功能(Hilbert transform of the c program code integrity, you can realize the corresponding function)

this code has an amplitude modulation with plots.

This program reconstruct the mean temperature profile with the angle in the troposphere that is modeled with the program itself and needs the following functions: ariachiara,ariachiara2,nebbia,nebbia2,cirro,cirro2,pressione,nuvola,nuvola2,layer,layer2

EMD算法，实现对信号的经验模式分解，直接调用数据就可以，(EMD algorithm, realize the signal of the empirical mode decomposition)

mathematica code for gaussian horn design. It can give the exact shape of gaussian for specific material, especially helpful for ultrasonic horn design.

说明：  matlab应用在微分方程的解法和他的一些应用程序接口用户指南(matlab application of Differential Equation and some of his API User' s Guide)

numerical methods analysis and the taget for the same