Example sentences of "[modal v] be written in the " in BNC.
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1 | After some rearrangement , this may be written in the more convenient form . |
2 | A solution presented by Griffiths ( 1985 ) satisfying this condition may be written in the form ( 15.18 ) where ( 15.19 ) The relative polarization angle of the two waves prior to the collision is given by α . |
3 | Equations ( 1.16.3 ) and ( 1.16.4 ) show that the characteristic equation may be written in the alternative forms unc It follows that the Cayley-Hamilton theorem unc can be written in the alternative form , in which for consistency each factor has been multiplied by -1 , unc It will be observed that , with eigenvalues all different , each of these matrices has degeneracy 1 , the product of all n factors having degeneracy n : i.e. it is null ; this is an illustration of Sylvester 's law of degeneracy ( Theorem XII of 1.22 ) . |
4 | Using the definition of magnetic flux ( eqn ( 3.22 ) ) the above equation may be written in the form |
5 | Using the relationships T = 1/f and c = unc ( where f and unc are the frequency and wavelength of oscillations ) the condition may be written in the alternative form |
6 | Show that the mutual inductance between two arbitrary coils may be written in the form ( see Fig. 4.8 , p. 100 ) math ; . |
7 | The homogeneity ( constant returns to scale ) assumption means that the production function may be written in the intensive form : where is the capital-labour ratio and the assumptions described above mean that . |
8 | ON Thursday the final chapter will be written in the story of Nicky Phillips , when John Constable 's painting Harnham Bridge Looking Towards Salisbury Cathedral is expected to fetch £1 million at Sotheby 's . |
9 | The monthly report will be written in the form of a memo to the Director , Information Systems , with copies to the Head of Computer Development and the New OED Project Director . |
10 | ‘ That is how it will be written in the history books , Doctor , ’ Jinkwa sneered . |
11 | Studies of these entities can be conducted by Ph D students in any country , and the theses describing the results of such research will be written in the language of the researcher , and deposited within the particular system of bibliographic control which has evolved in that country . |
12 | Thus a different representation of the solution of ( 10.13 ) can be written in the form ( 10.22 ) |
13 | ( 11.5 ) With this , the line element ( 11.4 ) can be written in the form ( 11.6 ) and the two main equations ( 6.22d , e ) can be written as the single complex equation ( 11.7 ) It may be seen that this is in fact Ernst 's equation , which can be written in the coordinate-invariant form ( 11.8 ) where is the square of the gradient of an arbitrary scalar field which , in this case , is a function of the two ( null ) coordinates only . |
14 | ( 11.5 ) With this , the line element ( 11.4 ) can be written in the form ( 11.6 ) and the two main equations ( 6.22d , e ) can be written as the single complex equation ( 11.7 ) It may be seen that this is in fact Ernst 's equation , which can be written in the coordinate-invariant form ( 11.8 ) where is the square of the gradient of an arbitrary scalar field which , in this case , is a function of the two ( null ) coordinates only . |
15 | When considering Ernst 's equation , it is frequently found to be useful also to introduce an associated function Ε , defined by ( 11.11 ) With this , the line element ( 11.4 ) or ( 11.6 ) can be written in the alternative form ( 11.12 ) and the main equations ( 6.22d , e ) , or alternatively ( 11.7 ) , become . |
16 | Chandrasekhar and Ferrari ( 1984 ) have shown that the main field equations for colliding plane waves can be written in the form of Ernst 's equation ( 11.18 ) involving the complex function Z . |
17 | It is of interest to observe that , for stationary axisymmetric space-times , the main field equations can be written in the form of Ernst 's equation ( 11.8 ) , whose solution is considered as a complex potential for the metric functions X and that are obtained from ( 12.36 ) and ( 12.34 ) . |
18 | In terms of the Szekeres line element ( 6.20 ) , the metric functions of this solution can be written in the form ( 13.1 ) where ( 13.2 ) and α and β are constants such that ( α - β ) is the angle between the polarization vectors of the approaching waves . |
19 | The line element can be written in the form ( 13.34 ) where p and q are constants satisfying . |
20 | This means that the dual problem of TRP can be written in the form DP below . |
21 | Equations ( 1.16.3 ) and ( 1.16.4 ) show that the characteristic equation may be written in the alternative forms unc It follows that the Cayley-Hamilton theorem unc can be written in the alternative form , in which for consistency each factor has been multiplied by -1 , unc It will be observed that , with eigenvalues all different , each of these matrices has degeneracy 1 , the product of all n factors having degeneracy n : i.e. it is null ; this is an illustration of Sylvester 's law of degeneracy ( Theorem XII of 1.22 ) . |
22 | Equation ( 8.29 ) can be written in the more familiar form , . |