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1. Given the following grammar S à 0A0 | 1B1 | BB; A à C; B à S | A; C à S | ε, (a) (Derivation) Given a left-most and right-most derivation of a string 01001110 (b) (Parse tree) Draw the parse tree from step (a)
2. (Language to PDA) Design a PDA whose language is {ambncpdq | m + n = p + q}.
3. (a) (Language to CFG, closure property) Construct CFG for the following language L = {bi a2i | i >= 0} (b) (CFG to PDA) Design a PDA for the above grammar using a transition diagram and specifying the start/accept state(s), start symbol on the stack. (c) (PDA computation) Show the stack content, state of the PDA in each step given an input string baa
4. (Pumping lemma) Use pumping lemma to show that the following language is not context free {0i1j | i is not a multiple of j}
5. Show that the language L = {aibj |i ≠ j) is context free.
Types of Cooling System: Two types of cooling system are used in two wheelers. (a) Natural air-cooling. (b) Forced air-cooling.
Which mechanism more efficiency? What is the reason ?
a) Define the degree of freedom of a work piece in space. What are the basic principles of location of drilling jig.
Determine the ratio between moment and load: Any close coiled helical spring of circular section extends 1 mm while subjected to an axial load of W and then given an angular r
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Stress-Strai n Curves (Compression): For the ductile materials stress strain curves in compression are similar to those in tension at least up to the yield point for all the
A motor cycle with its rider, weight 250kg, the centre of gravity of the machine and rider combined being 60cm above the ground level when the machine is standing upright. Each roa
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Explain the Isolated System - Thermodynamic In an Isolated system, neither masses nor energy are permitted to cross the boundary. The system comprises certain mass and energy.
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