Example sentences of "[vb pp] as the product " in BNC.

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1 Whereas in mechanics the moment is calculated as the product of a force and the distance of its application from a fulcrum , in statistics the moment is computed from the product of the weight percentage in a given size class and the number of class grades from the origin of the curve .
2 Several of the dubious cases of jurists such as Ulpian have been explained as the product of compilatorial abbreviation .
3 From this point of view , societal characteristics can not be explained as the product of actors ' choices , since these choices are themselves the product of socialisation .
4 The ‘ neighbourhood effect ’ could also be explained as the product of repeated association between the different classes in the same locality .
5 This failure could be explained as the product of political inexperience .
6 It could also be explained as the product of pride — a disdain for integrating himself into any kind of partisan organization .
7 Marxists too often tend to take a cavalier attitude towards the findings of such polls — anything which people ought not to think , according to socialist ideology , is regarded as the product of ‘ media manipulation ’ and can not really be people 's own considered view .
8 Sometimes these were regarded as the product of individuals , sometimes of institutions .
9 The ‘ offer ’ probability may be treated as the product of ( i ) the probability that a vacancy will come to the individual 's notice and ( ii ) the probability that the individual , if available , will be ‘ offered ’ the job .
10 Singular matrices can be factorised as the product of two rectangular matrices — again , in more ways than one — the orders of which are determined by the rank of the matrix .
11 British government has been accepted as the product of the collected wisdom of many generations , indeed of many centuries .
12 ( i ) If A is not symmetric , but can be written as the product
13 It is a simple matter , which we leave to the reader , to show that if A is real , symmetric and positive definite , then it can be written as the product BTB where B is real and triangular .
14 But Marx argued that falling rates of profit are an ironic consequence of investment in capital goods , which in the labour theory of value are seen as the products of past labour power , a stock of ‘ dead labour ’ .
15 Although the coverage provided by television is by no means neutral or impartial , television 's ‘ bias ’ is seen as the product of routine practices and is , therefore , a form of unintended or unwitting bias .
16 Laski 's political theory can in general be seen as the product of a pragmatic revolt in politics .
17 Various other strands of penal policy — the prison building programme ( see Chapter 5 ) , privatization ( see Chapter 10 ) , and the Fresh Start on prison officers ' pay — can also be seen as the product of a combination of political ideology and material circumstances .
18 Two of the main factors that need to be kept in equilibrium are heat and cold and most illnesses and diseases are seen as the product of excessive heat or cold .
19 Or , finally , his failure to adapt himself in 1944 – 46 could be seen as the product of a genuine idealism .
20 It also may be seen as the product of an allegiant orientation to the political system .
21 144 ‘ Artificial lesbianism ’ , as opposed to ‘ true ’ homosexuality of the ‘ congenital invert ’ , was condemned as the product of a culture which segregated the sexes and manufactured perverts out of women who instinctively preferred the love of a man .
22 From the ‘ street level bureaucracy ’ standpoint there appeared to be little sense in the new arrangements and they were frequently viewed as the product of political pragmatism rather than administrative reasoning .
23 Momentum is a physical quantity which may be roughly defined as the product of the weight of the vehicle and its speed .
24 They developed a measure of the ‘ average influence ’ per paper , based on citation frequencies , and established a ‘ total influence of the university ’ , defined as the product of the numbers of papers and the influence per paper .
25 They developed a measure of the ‘ average influence ’ per paper , based on citation frequencies , and established a ‘ total influence of the university ’ , defined as the product of the numbers of papers and the influence per paper .
26 In a study of the research output of UK universities , Irvine used an Activity Index , a technique developed by Carpenter & Narin ; defined as the percentage of a university 's total published output within each research field , divided by the overall percentage of all university-originated papers in that field ; and a Total Influence measure , defined as the product of the numbers of papers , their average influence ( impact factor ) , and the percentage of papers with influence .
27 The idea of ‘ flooded classrooms ’ might be taken as the product of bureaucratic desperation .
28 We may allow multiple versions , but as long as editors are concerned to establish some idea of final versions differentiated from earlier versions , and both conceived as the product of a revising author , the question of textual authority is open to be resolved .
29 If now we postmultiply the ( 3 × 2 ) submatrix of A by I , we can add the last result to it to recover A as the matrix product unc Finally , a matrix of rank 1 can be expressed as the product of a column and a row in that order — for such a matrix has effectively only one independent column , all the other columns being proportional to it ; similarly for the rows .
30 Next consider the more general case when A is not symmetric , but is expressed as the product of two symmetric factors .
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