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88 sonuçtan 1-3 arası sonuçlar
Sayfa 193
By an equivalence E on V we always mean an equivalence relation ( in the usual
sense ) on a subset of V ( coinciding with VE ) . The set of equivalence classes of
E is denoted by V / E . The ring of all integral matrices whose rows and ...
By an equivalence E on V we always mean an equivalence relation ( in the usual
sense ) on a subset of V ( coinciding with VE ) . The set of equivalence classes of
E is denoted by V / E . The ring of all integral matrices whose rows and ...
Sayfa 329
8 ) , and the relation ay = e , it follows that V ( z + niei + 4n2e2 ) = \ ( z ) + nie +
n2a2 , ZER ? , ( ni , n2 ) E Z2 , where ã2 : = - ( a2 , eilei + ( az , ez ) e2 . Hence , y
has property 2° , and ã1 = ei . Relation ( 4 . 8 ) and condition ( 0 ) = 0 imply that ¥
( 0 ) ...
8 ) , and the relation ay = e , it follows that V ( z + niei + 4n2e2 ) = \ ( z ) + nie +
n2a2 , ZER ? , ( ni , n2 ) E Z2 , where ã2 : = - ( a2 , eilei + ( az , ez ) e2 . Hence , y
has property 2° , and ã1 = ei . Relation ( 4 . 8 ) and condition ( 0 ) = 0 imply that ¥
( 0 ) ...
Sayfa 332
If F E Î1 ( ) n ĉo ( ə ) , then supp ( Fox - 1 ) Csin BR for some R < c . Moreover , the
function F is continuous on R2 . Relation ( 4 . 2 ) and the standard embedding
theorem imply that v - 1 is continuous on R2 . Consequently , the function Foy - 1
is ...
If F E Î1 ( ) n ĉo ( ə ) , then supp ( Fox - 1 ) Csin BR for some R < c . Moreover , the
function F is continuous on R2 . Relation ( 4 . 2 ) and the standard embedding
theorem imply that v - 1 is continuous on R2 . Consequently , the function Foy - 1
is ...
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algebraic analytic apply assume basis boundary bounded called chain homotopy closed coefficients complex computation condition connection Consequently consider constant construction contains continuous convex corresponding defined definition deformation denote determined differential domain element equal equation equivalence estimate example exists extension fact field finite fixed formula function given identity implies inequality integral intersection introduce invariant inverse isomorphism Lemma linear Math Mathematical matrix measure metric Moreover natural normal Observe obtain Obviously operator orientation particular periodic positive present problem projective Proof properties Proposition prove regular relation Remark respectively result ring satisfies scheme sequence singular smooth solutions space standard statement Subsection suffices Suppose takes Theorem theory transformation true twists unique vector weight zero