When we compare the algorithms given in the previous chapters with the expansions typically used by researchers in differential equations and in mathematical physics, one thing stands out — the absence of trigonometric functions from our theory. Of course, we have seen in Section 5.3 how trigonometric functions composed with functions tending to finite limits can be handled, but these composed functions do not exhibit oscillation. This, the last chapter, is concerned with how to deal with oscillating functions, including trigonometric ones, in the context we have built up.
KeywordsTrigonometric Function Finite Limit Oscillate Function Single Interval Real Algebraic Variety
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