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Section 3.2
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... Q3. [16 pts.] The isArithmetic function takes two parameters, a list and an integer k. This function intends to return True if list represents an arithmetic sequence where each element (other than the first one of course) is equal to the previous element plus k. The function returns False otherwise ...
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... (or whatever color you prefer). Feel free to comment out your old code with %s or start a new function file so you can use the Level 1 function later. ...
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... Definition A.1.4. We denote A ⇢ B if all elements in A are also in B. We denote A = B if A ⇢ B and B ⇢ A, implying that the two sets are identical. The di↵erence between two sets A \ B is the set of elements in A but not in B. The complement of a set A with respect to a set ⌦ is Ac = ⌦ \ A (we may o ...
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History of the function concept

The mathematical concept of a function (and the name) emerged in the 17th century in connection with the development of the calculus; for example, the slope dy/dx of a graph at a point was regarded as a function of the x-coordinate of the point. Functions were not explicitly considered in antiquity, but some precursors of the concept can perhaps be seen in the work of medieval philosophers and mathematicians such as Oresme.Mathematicians of the 18th century typically regarded a function as being defined by an analytic expression. In the 19th century, the demands of the rigorous development of analysis by Weierstrass and others, the reformulation of geometry in terms of analysis, and the invention of set theory by Cantor, eventually led to the much more general modern concept of a function as a single-valued mapping from one set to another.
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