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using MATLAB’s rand function. Now let’s look at the general case, where the user can specify d > 1 dimensions and n >= 1 step. Here’s Previously we described what a random walk is and demonstrated some simple code to perform this walk in one dimensional space. Today we will provide some simple code for how to perform such a walk in two-dimensional space. In the following post, we’ll look at the general case, and then we’ll get into some simulations. Here’s a sample of how our output will look like: random walk in MATLAB Read moreTwo Dimensional Random Walk in MATLAB We’re going to do a series of posts on Matlabgeeks to demonstrate how MATLAB is a wonderful option for running simulations. As a precursor to this, let’s look at a stochastic process known as a random walk. Briefly, such a process, in one-dimensional space, as*umes equal probability of one of two possibilities occurring. For example, … Read moreOne dimensional random walk in MATLAB Previously we had shown how to check if a two dimensional point is within a convex polygon. Now let’s look at the general case, where the polygon can be either convex or non-convex. To do so, we’ll use the ray casting algorithm. Briefly, this algorithm creates a ray or line segment from a point outside … Read moreCheck if a point is within a polygon – general case As we continue to look at different computational geometry problems, one simple, yet important test is to see whether a given point lies on a line segment. Similar to our previous posts, we will be utilizing the cross product and dot product to check for the proper conditions. Hopefully, these computations have become second nature … Read moreCheck if a point is on a line segment One computational geometry question that we will want to address is how to determine the intersection of two line segments. This will allow for further solutions for more complex questions, including a general solution regarding whether a point is inside or outside of a