In each of the following cases, establish whether the set defined is recursively enumerable: Search Checkout Items Search only those publications which are on loan by library members Search Available Items Search only those publications which are not on loan Search will use an instance of PublicationSelector class to collect the search matches and user selection. The prompt of the PublicSelector should be: "Select one of the following found matches:" The page size for the selector menu should be 15 (the default value) (a) the set of all recursive subsets of N [5 marks] (b) the set of all recursive sequences of natural numbers [2 marks] (c) the set of all finite sequences of natural numbers [5 marks] When so applied it should give a value in the IO monad which corresponds to ML code that runs add1 twice and returns the difference between the values read. [4 marks] (d) State what happens when attempting to compile and execute the following Java fragment (explaining the origin of any error messages or exceptions which might arise). This sort of thing is much easier to do with ray tracing than with polygon scan conversion. In this course we will generally assume that polygon scan conversion refers to the z-buffer algorithm or one of its derivatives, such as the A-buffer. Object n = new Integer(42), o = new String("Whoops"); Object [] v; Integer [] w = new Integer[10]; v = w; v[4] = n; v[5] = o; [4 marks] (e) Consider the Java code: Object n = new Integer(142); ArrayList v1; ArrayList v21; ArrayList w = new ArrayList<>(110); 14 Additional Topics List some intrinsic properties of wearable computers and how they may develop in future. [6 marks] The grill on the stove casts interesting shadows (there are two lights in the scene). You propose to monetize it by serving ads at times when the user is more likely to buy. Your "backers" have raised a concern that this app will be able to diagnose depression, and that in consequence you may be storing substantial amounts of sensitive personal information. How many stable content-addressable memories would you expect a fully connected Hopfield network consisting of 100 neurons to be capable of storing?