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Overview: One problem-solving strategy in mathematics is to look for a pattern that will predict the next number in a sequence. That is often the first step to writing an equation that describes how to find each number. Some famous patterns, such as Fibonacci numbers and Pascal’s triangle, play an important role in number theory. […]
Overview: Matrices, like other numbers, variables, and expressions, can be involved in mathematical operations. The rules are different, as every element of each matrix must be included. Also, only certain types of matrices can be combined. How Are Matrices Added? In order to add matrices, both matrices must be of the same dimensions so that […]
Overview: A matrix is an array of rows and columns that contain numbers or variables. Each position in the matrix is specific and serves a distinct purpose. Matrices can be defined by their size and shape. How Is A Matrix Defined? A matrix is defined by the number of rows and columns it has. Those rows and […]
Overview: The world of fractal geometry is usually pictured in beautiful images of self-similarity. Although the images are intricate, they are based on relatively simple calculations and replacements. What Is Self-Similarity? Self-similarity means that the pattern is the same or nearly the same no matter what scale is examined. The instructions (or equations) to create […]
Overview In modular arithmetic, numbers cycle rather than increase when operations are performed. Think of a clock with numbers equal to the cycle. Extensive applications include UPC numbers, the electronic numbers on the bottom of bank checks, and public key codes. How Does Modular Addition Work? The most common real world example of modular arithmetic […]