NL optimization problem with equality constraint can be posted as: Min f(x) h_j(x) = 0, j = 1..n We can use Lagrange multiplier to...

The lower-bound and upper-bound collapse load theorems are fundamental concepts in structural engineering, particularly in the field of...

The F90 code is written by program app_1 implicit none real :: x, up, upp, u, dx real,parameter :: pi = 3.1416 integer :: i u(x) =...

The solution is L1 = 3.33 m, L2 = 6.67 m with Lambda = -0.5547. The value of lambda is negative in this problem. The F90 code is shown...

! Main Program PROGRAM SolveLinearSystem IMPLICIT NONE REAL, DIMENSION(3, 3) :: A REAL, DIMENSION(3) :: b INTEGER :: n ! Define the...

! Program Structure: PROGRAM ProgramName ! Declarations and statements CONTAINS ! Subroutines and functions END PROGRAM ProgramName !...

Since the sphere and Matyas functions contain only one global minimum, Gradient descent is effectively used to find that minimum at...

Adisorn Owatsiriwong, D.Eng. In real life, the best solution that fulfills a single objective function might not be the best solution for...

# Import the library import numpy as np # Create a 1D array a = np.array([1, 2, 3]) # Create a 2D array b = np.array([[1, 2, 3], [4, 5,...

# Import the library import pandas as pd # Create a DataFrame df = pd.DataFrame({'A': [1, 2, 3], 'B': [4, 5, 6]}) # Read a CSV file df =...

Here is a basic cheat sheet for structured programming in Python: **1. Variables and Data Types** ```python # Strings string_var =...

A spiral concrete staircase is considered quite a complex member. It must carry various kinds of forces simultaneously: bending, shear,...

We have collaborated with Posteck Prestressing in development of AI design tools project for post-tensioned slab design and pile design...

The flowchart of simulated annealing algorithm can be explained below:

In most metaheuristic algorithms like Genetic Algorithm, Simulated Annealing, or particle swarm optimization, it is required to generate...

R is currently one of the most popular languages for data analysis among Python, MATLAB, and Java. It is highly capable of statistical...

Overview: At present, Artificial Intelligence for engineering design has evolved into a mature stage and is widely used among qualified...

Adisorn Owatsiriwong, D.Eng. The Traveling Salesman Problem (TSP) is a standard combinatorial problem to test an optimization algorithm...