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Notes to a video lecture on http://www.unizor.com Multivariable Limits Sometimes we have to deal with functions of two or more arguments and have to analyze the behavior of such functions as their arguments approach certain values. The usual way to analyze this situation is to fix all arguments except one and see what happens with the function if that single argument ...


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Notes to a video lecture on http://www.unizor.com Double Limits Sometimes we are interested in sequences that depend on two natural numbers like {am,n}. For example, am,n=arctan(m)+2−n. Now, if m→∞ and n→∞, how to calculate the limit of am,n? It might be limm→∞ [limn→∞ (am,n)] or limn→∞ [limm→∞ (am,n)] dep...


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Notes to a video lecture on UNIZOR.COM Lagrangianfor N-dimensional Systems Background In one of the previous lectures we considered a point-mass object oscillating on a spring in an empty one-dimensional space with Cartesian coordinates (one degree of freedom). In that case we d...


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Notes to a video lecture on UNIZOR.COM Lagrangianfor N-dimensional Systems In one of the previous lectures we considered a point-mass object oscillating on a spring in an empty one-dimensional space with Cartesian coordinates (one degree of freedom). In that case we defined a Lagrangian...


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