Example sentences of "for [adj] [art] [unc] " in BNC.
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| 1 | Definition 2.6.1 A function ( also called map , mapping , or transformation ) from a non-empty set A to a non-empty set B is a non-empty subset f of A x B such that for each a ε A there exists exactly one b ε B for which ( a , b ) ) ε f . |
| 2 | That is , f = g iff A = C and af = ag for each a ε A ( = C ) . |
| 3 | Having to absorb this phenomenon — for such the eighteen-and-a-half-year-old became within a month or two , despite all the swirl of competition ( from local airfields and ancient academies ) — the Oxford undergraduates graciously invented a school and background which made it easier for them to justify taking him on board . |
| 4 | ( ii ) It then becomes rather palatable to describe f as the function given by unc or again as the function given by af = b , for all a ε A. |
| 5 | If unc and if f : unc is such that af = a for all a in A then f is called the inclusion function of A in B. If f : unc is such that af = a for all a ε A then f is called the identity function on A. |
| 6 | We define a new function from A to C which we denote by unc to indicate its dependence on f and g by : for all a ε A , unc the image of af under g . |
| 7 | If there exists in A an element e , say , such that aρe — eρa = a for all a ε A we say e is an identity ( or neutral ) element for ρ . |
| 8 | The recommendations in paragraph ten er ask you to approve the capital programme and the revenue budget and the staffing for the committee and that , that 's the increase of the one post I mean I referred to you earlier and if the committee approves this budget , will put forward to the Policy and Resources Committee on the thirty first of January which will consolidate the budgets for all the er services and make final decisions on how that 's to be and reset for the next . |
| 9 | Well there was a big reunion er you know for all the m all the soldiers all the sold came back out of the war . |
| 10 | Twelve of our panel ( see footnote to table ) provide forecasts for all the G7 economies . |
| 11 | for all the u fatty foods I eat I fry pasta , deep fat one , deep pan , oh I do n't know , you know what I mean |
| 12 | Since for all â ε Zn we have unc and unc we see that the analogues of A3 and M3 hold in Zn . |