yea me too dude. Mahleko :(
There are so many reasons for a programmer to study algorithm. This will help in proper analysis of problems and coming up with fast solutions that relate to programming.
A greedy algorithm is similar to a dynamic programming algorithm, but the difference is that solutions to the subproblems do not have to be known at each stage; instead a "greedy" choice can be made of what looks best for the moment.
A randomized algorithm is an algorithm that uses random numbers or randomization as part of its logic to make decisions or perform computations. It can provide faster or simpler solutions to certain problems compared to deterministic algorithms, which follow a fixed sequence of steps. Randomized algorithms are particularly useful in scenarios where the input size is large or where the problem space is complex, enabling more efficient exploration of potential solutions. Examples include randomized quicksort and Monte Carlo methods.
They both are same. Both of them mean a set of instructions. but, an algorithm is a simple flow of instructions whereas in a flowchart the instructions are represented pictorially, and as the name suggest it is a 'flow chart'.
The term genetic algorithm can refer to the specific algorithm developed by John Holland in the 1970s, but is often used as a cover term for many different algorithms that all use an evolutionary process of repeatedly selecting a proportion of the best members of a population of solutions according to some specified criterion and using them to produce a new population of solutions with some chance of mutation and/or recombination. After repeating this procedure many times, the quality of solutions in the population tends to increase as judged by the selection criterion.Evolutionary programming is what this technique is called when the evolving solutions can be interpreted as computer programs or functions, and this has consequences for the kinds of mutation and recombination operators can be used to modify solutions in the population.
To determine the number of solutions for a system of equations, one would typically analyze the equations' characteristics—such as their slopes and intercepts in the case of linear equations. If the equations represent parallel lines, there would be no solutions; if they intersect at a single point, there is one solution; and if they are identical, there would be infinitely many solutions. Without specific equations, it's impossible to provide a definitive number of solutions.
The number of solutions to a nonlinear system of equations can vary widely depending on the specific equations involved. Such systems can have no solutions, a unique solution, or multiple solutions. The behavior is influenced by the nature of the equations, their intersections, and the dimensions of the variables involved. To determine the exact number of solutions, one typically needs to analyze the equations using methods such as graphical analysis, algebraic manipulation, or numerical techniques.
To determine how many solutions a system has, we need to analyze the equations involved. Typically, a system of linear equations can have one solution (intersecting lines), infinitely many solutions (coincident lines), or no solution (parallel lines). If you provide the specific equations, I can give a more accurate assessment of the number of solutions.
Simultaneous equations have the same solutions.
Superpolynomial time complexity in algorithm design and computational complexity theory implies that the algorithm's running time grows faster than any polynomial function of the input size. This can lead to significant challenges in solving complex problems efficiently, as the time required to compute solutions increases exponentially with the input size. It also highlights the limitations of current computing capabilities and the need for more efficient algorithms to tackle these problems effectively.
The answers to equations are their solutions
If a system of equations is inconsistent, there are no solutions.
Equations do have solutions, sometimes they may be a little difficult to figure out.
A system of equations is considered consistent if it has at least one solution, and it is coincident if all solutions are the same line (infinitely many solutions). If the system has no solutions, it is inconsistent. To determine the nature of a specific system, you need to analyze its equations; for example, if two equations represent the same line, it is consistent and coincident, while parallel lines indicate inconsistency.
To determine how many solutions a linear system has, we need to analyze the equations involved. A linear system can have one unique solution, infinitely many solutions, or no solution at all. This is usually assessed by examining the coefficients and constants of the equations, as well as using methods like substitution, elimination, or matrix analysis. If the equations are consistent and independent, there is one solution; if they are consistent and dependent, there are infinitely many solutions; and if they are inconsistent, there are no solutions.
Bruno Codenotti has written: 'Parallel complexity of linear system solution' -- subject(s): Computational complexity, Data processing, Numerical solutions, Parallel processing (Electronic computers), Simultaneous Equations
Simultaneous equations have the same solutions