Education

A New Algorithm for Data Compression

Many compression algorithms replace frequently occurring bit patterns withshorter representations. The simple approach I present is to replace commonpairs of bytes by single bytes.The algorithm compresses data by finding the most frequently occurringpairs of adjacent bytes in the data and replacing all instances of the pair with abyte that was not in the original data. …

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The Difference between Solicited and Unsolicited Business Proposals

Business proposals are written documents that offer particular products or services topotential buyers or clients. They are created to offer solutions. They are crucial components inthe sales process and service delivery. Business proposals should not be mistaken for businessplans. A business plan is a formal statement of a company has set of goals. On the …

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CRAMER’S RULE

We are now introducing a method for solving systems of equations that uses determinants, known as Cramer’s Rule. This techniquedate back to the middle of the 18th century and is named for its innovator, the Swiss mathematician Gabriel Cramer (1704-1752),who introduced it in 1750 in Introduction to the analysis of lines algebraic curves. Cramer’s Rule …

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