- Homework returned today:
- 4
- 14
- 38
- Quiz opportunity returned:
- Suppose that "Every finklestein that is schnickernoodle is doodlenagel."
- If I tell you that
is a finklestein, and that it is schnickernoodle, then you can conclude that it's doodlenagel.
- It doesn't matter what these terms mean: it's true by elementary logic. While abstract, the conclusion is not nonsense, because it follows logically from the premise.
- What can I make of this: "If it is it then it has it." ?
- Or, worse yet, this: "If a doodlenagel is schnickernoodle, then it's finklestein." Adjectives may become nouns, nouns adjectives -- chaos reigns!
- Don't do abstract nonsense. It's of no value to you, and
of no value to me. Use correct terminology. Don't use
undefined or ill-referenced terms.
You must practice using vocabulary before it will make sense to you.
When we do not share a common language, we are sure to misunderstand and to be misunderstood.
, what is
?
When you say that "f(x) converges", what do you mean? You mean that "the power series of f(x) converges". Be precise.
- Tomorrow's quiz opportunity will be over 12.1
- The big picture: we're approximating functions (some nasty) with nice ones (polynomials):
Let's talk error now. Remember error? As we discussed for the case of Simpson's rule, it's nice to give an estimate -- but even nicer when you can provide an error estimate, also....
- Examples:
- Taylor Polynomials Lab (from Stewart's Calculus)
