Foundation Year Programme Entrance Tests MATHEMATICS
... rectangle; parallelogram; rhombus]; questions may include calculations of areas and perimeters of such shapes. ...
... rectangle; parallelogram; rhombus]; questions may include calculations of areas and perimeters of such shapes. ...
Function Notation & Evaluating Functions
... Sometimes we will only know one part of the ordered pair. We can use the equation to find the missing number. Example 1: Complete each ordered pair so that it is a solution to ...
... Sometimes we will only know one part of the ordered pair. We can use the equation to find the missing number. Example 1: Complete each ordered pair so that it is a solution to ...
Mathematics
... the University of Cambridge. We offer a range of tests and tailored assessment services to support selection and recruitment for educational institutions, professional organisations and governments around the world. Underpinned by robust and rigorous research, our services include: ...
... the University of Cambridge. We offer a range of tests and tailored assessment services to support selection and recruitment for educational institutions, professional organisations and governments around the world. Underpinned by robust and rigorous research, our services include: ...
We are given a set of n lectures (in no particular order) that are
... When the initial automaton is reduced to a two-state automaton, the transition on the arc gives us the desired regular expression. Thus, L(M) = a*b(aUba*b)* 4. Suppose that L={an : n is prime} is regular. Then, according to pumping lemma, there must be an integer n≥1 such that any string w L with ...
... When the initial automaton is reduced to a two-state automaton, the transition on the arc gives us the desired regular expression. Thus, L(M) = a*b(aUba*b)* 4. Suppose that L={an : n is prime} is regular. Then, according to pumping lemma, there must be an integer n≥1 such that any string w L with ...
[Part 1]
... from a Lemma which gives a necessary and sufficient condition for {r.} to be a {k,0} base ( [ 2 ] , pp. 194-196). Since an n-base is a specialization of a {k,0} base, this latter condition for a {k,0} base subsumes the earlier result for an n-base in [1], Moreover, the derivation of the necessary an ...
... from a Lemma which gives a necessary and sufficient condition for {r.} to be a {k,0} base ( [ 2 ] , pp. 194-196). Since an n-base is a specialization of a {k,0} base, this latter condition for a {k,0} base subsumes the earlier result for an n-base in [1], Moreover, the derivation of the necessary an ...