Introduction– This article explains the general meaning of number bases. Common base 10 numbers are used to lead into the generalized form of a number expressed in any base, b. Afterwards, the reader is given a walk-through conversion to base…
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Youtube educator Vihart et al. published this interesting paper entitled “Computational Balloon Twisting: The Theory of Balloon Polyhedra” which you can access on her website. The purpose of said paper, as explained in the abstract, is to construct “a general mathematical…
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Fermat’s Last Theorem states that the equation a^n+b^n=c^n does not have any solutions for any positive integers a, b, and c except n=1 and n=2. For n=1 it is just a simple addition of two integers. For n=2 it is…
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An integral is the total area under the curve of a function. It is represented by a curve ∫ with an upper and lower limit. These limits determine the x-values at which you are actually taking the area under the…
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A highest common factor (HCF) is the largest factor that goes into multiple numbers. This can be represented as gcd(a,b)=c; where a and b are constants and c is the HCF. The purpose of finding an HCF is to simplify…
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A derivative of a function is the slope or rate of change of a function. The proper notation for that is dy/dx(f(x)). This would be read as ‘dee-y dee-x of f of x’; this is just to shorten the notation…
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School is sometimes likened to the setting of a nightmare students have to attend five days a week, and this is all because of one subject – math. While some are naturally excellent – even superior – at dealing with…
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In mathematics there are many forms of graphs; but every graph has many things in common. A graph is basically an x-axis a y-axis and numerous coordinate points (x,y) somewhere on the graph. Most of mathematics works with functions and…
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Plane geometry is concerned with zero, one, and two dimensional objects like points, lines, and circles; while solid geometry is concerned with three dimensional objects (width, length, depth) like cubes, spheres, and pyramids. Points are defined to have zero dimensions—they…
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When analyzing a graph there is only one factor that makes it of less quality or “bad” and that is correlation. Correlation is how well your data follows a certain pattern. It doesn’t matter if it follows a liner relationship,…
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