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Thesis - Leigh Moody.pdf - Bad Request - Cranfield University

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Glossary<br />

_ _<br />

]A,B] Real number range including (B) but not (A), i.e.<br />

x: A < x ≤ B<br />

{ }<br />

]A,B[ Real number range excluding (A) and (B), i.e. the open<br />

x : A < x < B<br />

interval or set { }<br />

[A(1)B] Set of integers { A , A+1 , A+2 ... B } including (A) and (B)<br />

[A(2)B[ Set of integers { A , A+2 , A+4 ... B-2 } including (A) but not<br />

(B)<br />

]A(1)B] Set of integers { A+1 , A+2 ... B } including (B) but not (A)<br />

]A(3)B[ Set of integers { A+3 , A+6 ... B-3 } excluding (A) and (B)<br />

0.6 Function Definitions<br />

A ≡ B (A) is directly equivalent to (B), and may be replaced by it<br />

a : = a + 1 The assignment statement, e.g. (a) is replaced by (a) + 1.<br />

A : = B<br />

] C,<br />

D ]<br />

(A) is equal to (B) subject to exclusive lower limit (C), and<br />

inclusive upper limit (D). In this example the value of (A) is<br />

limited to the range ]C,D].<br />

A : = B<br />

D[<br />

(A) is equal to (B) subject to exclusive upper limit (D). In<br />

this example the value of (A) is limited above by (D) with an<br />

arbitrary lower bound.<br />

A : = B<br />

[ C<br />

(A) is equal to (B) subject to inclusive lower limit (C). In<br />

this example the value of (A) is limited above by (C) with an<br />

arbitrary upper bound.<br />

sign(A,B) Magnitude of (A) with the sign of (B)<br />

n<br />

∑<br />

i : = m<br />

n<br />

∏<br />

i : = m<br />

( )<br />

a Sum of elements of (A), where A<br />

i<br />

( )<br />

i<br />

a + a<br />

m + a m + 1 + L<br />

n<br />

xxxi<br />

a i ∈ , i.e.<br />

a i ∈ , i.e.<br />

a Product of elements of (A), where A<br />

a ⋅ a<br />

m ⋅ a m + 1 ⋅L<br />

∑ a i Sum of all the elements in set (A)<br />

n

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