# Vector Algebra For Bioinformatics

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vector algebra in the analysis of genome-wide expression data

. from vector algebra have proven useful in the study of genome-wide expression data. Results: Here we present a framework based on vector algebra for the analysis of transcription profiles that is geometrically intuitive and computationally efficient. Concepts in vector algebra such as. effects have been extensively studied with microarrays. In addition, the algebraic concept of a basis for a space affords the opportunity. simplify data analysis and uncover a limited number of expression vectors to span the transcriptional range of cell behavior.vector algebra tutorial

. the x-axis to the vector, β is the angle from the y-axis to the vector, and γ is the angle from the z-axis to the vector, then the vector may be written. + cos(γ)uz ] Of course, v/|v| is the unit vector in the direction of v, so that uv = cos(α.)uz These are known as the “direction cosines” of the vector. Solving for the angles yields vx α = cos−1 v.linear algebra, vector algebra and analytical geometry

Matrices allow us to operate with arrays consisting of many numbers, functions or mathematical statements, just as if we operate with several items. Matrices have a wide application in different branches of knowledge, for instance, in mathematics, physics, computer science, and so on. Matrices allow us to solve systems of ordinary equations or sets of differential equations, to predict the values of physical quantities in quantum theory, to encrypt messages in the Internet, and so on. In this chapter, we .
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