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dynamic998
is a simple proportion one that is a one to one function of some sort. I don't understand this term.
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Originally posted by HallsofIvy
Of course, there's a relationship (there's a "relationship" between any two numbers!) but that's exactly what you say you are not looking for. It's pretty easy to calculate that phi= (1+ sqrt(5))/2 and don't think you'll find any simple relationship between an algebraic number like that and a transcendental number like e.
Originally posted by HallsofIvy
pi is transcendental like e.
A simple proportion is a mathematical relationship between two quantities that states that the ratio of the first quantity to the second quantity is equal to the ratio of two other quantities. This relationship can be expressed as a:b=c:d, where a and c are the first pair of quantities and b and d are the second pair of quantities.
A one to one function is a mathematical function in which each element in the domain is paired with only one element in the range. This means that for every input, there is only one corresponding output. In other words, the function has a unique output for every input.
To determine if a function is a one to one function, you can use the horizontal line test. If a horizontal line can intersect the graph of the function at only one point, then the function is a one to one function. Another way is to check if the function passes the vertical line test, meaning that a vertical line can only intersect the graph at one point.
A one to one function is important because it ensures that each input has a unique output. This is useful in many real-world applications, such as in finance and economics, where there should be a one-to-one relationship between different variables.
Simple proportions can be used in many real-life situations, such as cooking, where a recipe may call for a certain proportion of ingredients. They can also be used in financial calculations, such as calculating interest rates or exchange rates. In addition, simple proportions can be used in scaling or resizing objects, such as maps or blueprints.