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MyWikiBiz, Author Your Legacy — Sunday October 20, 2024
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"It doesn't matter what one does", the Man Without Qualities said to himself, shrugging his shoulders.  "In a tangle of forces like this it doesn't make a scrap of difference." He turned away like a man who has learned renunciation, almost indeed like a sick man who shrinks from any intensity of contact.  And then, striding through his adjacent dressing-room, he passed a punching-ball that hung there;  he gave it a blow far swifter and harder than is usual in moods of resignation or states of weakness.
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“It doesn't matter what one does,” the Man Without Qualities said to himself, shrugging his shoulders.  “In a tangle of forces like this it doesn't make a scrap of difference.” He turned away like a man who has learned renunciation, almost indeed like a sick man who shrinks from any intensity of contact.  And then, striding through his adjacent dressing-room, he passed a punching-ball that hung there;  he gave it a blow far swifter and harder than is usual in moods of resignation or states of weakness.
 
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With the tacit extension map <math>\epsilon</math>''J'' and the enlargement map E''J'' well in place, the difference map D''J'' can be computed along the lines displayed in Table&nbsp;41, ending up, in this instance, with an expansion of D''J'' over the cells of [''u'',&nbsp;''v''].
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With the tacit extension map <math>\boldsymbol\varepsilon J\!</math> and the enlargement map <math>\mathrm{E}J\!</math> well in place, the difference map <math>\mathrm{D}J\!</math> can be computed along the lines displayed in Table&nbsp;41, ending up with an expansion of <math>\mathrm{D}J\!</math> over the cells of <math>[u, v].\!</math>
    
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Alternatively, the difference map D''J'' can be expanded over the cells of [d''u'',&nbsp;d''v''] to arrive at the formulation shown in Table&nbsp;42.  The same development would be obtained from the previous Table by collecting terms in an alternate manner, along the rows rather than the columns of the middle portion of the Table.
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Alternatively, the difference map <math>\mathrm{D}J\!</math> can be expanded over the cells of <math>[\mathrm{d}u, \mathrm{d}v]\!</math> to arrive at the formulation shown in Table&nbsp;42.  The same development would be obtained from the previous Table by collecting terms in an alternate manner, along the rows rather than the columns in the middle portion of the Table.
    
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