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Consider the unary relational symbols P and L, and the binary relational symbol On, where P(a) and I(a) encode that a is a point and a (straight) line in the 2-dimensional space, respectively, while On(a,b) encodes that a is a point, b is a line, and o lies on b.
Write first-order formulas over these relational symbols expressing the following (you can use the equality relation between lines/points):
(a) On every line, there lie at least two different points.
(b) Any two lines sharing at least two different points are identical.
(c) For any two different points, there exists exactly one line on which they lie.
Reduction -when the original amount and the balance or remainder are known, to find the part that has been given away. (e.g., there were 15 toffees in a container, and there are
5-4
Evaluate following indefinite integrals. (a) ∫ 5t 3 -10t -6 + 4 dt (b) ∫ dy Solution (a) ∫ 5t 3 -10t -6 + 4 dt There's not whole lot to do here other than u
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Suppose the economy is now ‘open’ and thus has an external demand (e.g. from the government, exports, etc.) of the dollar amounts for each respective industry. In the latest budget
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A graph with a positive slope shows that the variables depicted on the axes goes in the similar directions.
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