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Section 1.4 Mathematical Proofs
Section 1.4 Mathematical Proofs

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1.11 Pascal`s Triangle.notebook

... Determine how many different paths will spell SUCCESS if you start at the top and proceed to the next row moving diagonally left or right. ...
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... exponents, simplifying and expanding).  0706.3.2 Represent and analyze mathematical situations using algebraic symbols.  0706.3.3 Identify a function from a written description, table, graph, rule, set of ordered pairs, and/or mapping.  0706.3.4 Make tables of inputs x and outputs f(x) for a vari ...
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Tiling Proofs of Recent Sum Identities Involving Pell Numbers

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Mathematics and architecture



Mathematics and architecture are related, since, as with other arts, architects use mathematics to shape and sometimes to decorate buildings.In ancient Greece, buildings were laid out with specific proportions. In Islamic architecture, geometric shapes and geometric tiling patterns are used. The pyramids of ancient Egypt have mathematical proportions. Hindu temples have a fractal-like structure where parts resemble the whole.In Renaissance architecture, symmetry and proportion were deliberately emphasized.In the twentieth century, styles such as modern architecture and Deconstructivism explored different geometries to achieve desired effects.
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