CSC165H1 Lecture Notes - Thx

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raspberrysardine362

29 Oct 2012

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Fall 2011: write detailed proof structures for each of the following statements. Don"t write complete proofs for now, focus on the proof structure only and leave out all of the actual content . (a) x z, y z, x (cid:54) y z z, x (cid:54) z (cid:54) y. # pick a value that depends on x and y. proof. Then, x z, y z, x (cid:54) y z z, x (cid:54) z (cid:54) y. # introduce (b) x z, ( y z, x = 3y + 1) ( y z, x2 = 3y + 1) # pick a value that depends on x and y0. proof. Then, ( y z, x = 3y + 1) ( y z, x2 = 3y + 1) # introduce . Then, x z, ( y z, x = 3y + 1) ( y z, x2 = 3y + 1) # introduce (c) x n, y n, y > x ay > ax.

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5. 110 marks] Consider the card structure definition. (define-struct card (value suit)) ii Acara is a structure (make-card v s), where ji v is an integer in the range from 1 to 10 and iis is a symbo. for suit, from the set 'hearts, ii 'diamonds, 'spades, and 'clubs. a) [2 marks] Define a constant called four-of-hearts corresponding to the card with suit 'hearts and value 4. Consider the Scheme function merge-cards which consumes two card structures (cl and c2) and produces a new card, according to the following rules: . If the suits of the two cards are the same, the new card has that suit and its value is the sum of the values of cl and c2, up to a maximum value of 10 • Otherwise, the new card has the value of cl and the suit of c2. b) 12 marks Write the contract of merce-cards (the function header is given below). c) 12 marks Write a single example for merge-cards. d) 16 marks Complete the body of the function merge-cards. (define (mergo-cards c! 02)

Which of the following statements is true of trophic levels in an ecosystem?

a) Food chains are accurate representations of dynamics in an ecosystem.

b) In terrestrial ecosystems, primary producers commonly eat plants.

c) Food webs are easier to interpret than food chains.

d) The least amount of energy is available at the top of a food chain.

skyox102

Programming Writing Montreal Maps In the following questions, you will write classes that allow one to suggest a route to get from one point to another on a metro or train line. Note that for all of these questions, we will make the simplifying assumption that the earth is flat and that everything resides in 2 dimensions. (There were metros before Columbus and Galileo, right?) 6. Write a class MetroStation in which you define a new type MetroStation. (10 points) A MetroStation is defined to have the following private properties: • String name This represents the name of the metro station (e.g. Atwater, McGill, etc) • double xPosition This represents the x location of the metro station. • double y Position This represents the y location of the metro station. An MetroStation object should have the following public methods/behaviors defined on it. • A constructor that takes as input a String stationName, a double x, and a double y. The constructor should initialize the properties name, xPosition, and yPosition to these three values respectively • A method getName() which returns the name of the Metrostation. • A method get XPosition () which returns the x location of the Metrostation • A method get Position () which returns the y location of the Metrostation • A method equals (Metrostation other) which returns a boolean representing whether the name property of the this MetroStation is equal to the name property of other.

CSC165H1 Lecture Notes - Thx

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