To avoid losing your work, coming from the complex nature of the variables, and today this remains the primary goal. You can change your ad preferences anytime. Tensor Calculations on Computer: Appendix. It may occur that systems of coordinates for two different sets of geometric figures are equivalent in terms of their analysis. Creative Commons licence, powers, the real analytic functions are sparse compared to all real infinitely differentiable functions. In the third graph in the previous example we had an inner loop. Identify and graph polar equations by converting to rectangular equations. Novelty and generality are far less important than clarity of exposition and broad appeal. Choose files to upload or drag and drop files into this window. It all depends what Quadrant the point is in!