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61 sonuçtan 1-3 arası sonuçlar
Sayfa 130
The number k in equation (71) is (identically) zero. Proof. It is in this statement
that we use the assumption (44). Suppose that k > 0. Note that then the functions
T(X,x) and $(A,x) in (66) are defined up to the following transformations: •(A.*)-*(A
...
The number k in equation (71) is (identically) zero. Proof. It is in this statement
that we use the assumption (44). Suppose that k > 0. Note that then the functions
T(X,x) and $(A,x) in (66) are defined up to the following transformations: •(A.*)-*(A
...
Sayfa 138
In particular, for some y € D$'»{xi) \ {x\} we have at least one zero of Po{\,y) inside
the circle Co- By (85) and the Rouche theorem, inside the circle Co the
polynomial Qy(X) := detL(A,y) has at least one zero. Denote this zero by fi. By (86)
, we ...
In particular, for some y € D$'»{xi) \ {x\} we have at least one zero of Po{\,y) inside
the circle Co- By (85) and the Rouche theorem, inside the circle Co the
polynomial Qy(X) := detL(A,y) has at least one zero. Denote this zero by fi. By (86)
, we ...
Sayfa 426
Algorithm 1. 1) We start with the ((n — 1) x n)-matrix Mo the rows of which
coincide with the coordinates of the vertices jD° , . . . , D°_1 of Aq-2; see (1). 2)
Replacing a unique zero row in Mo by (1, 1, . . . , 1, 0), we obtain a matrix Mi; it is
formed ...
Algorithm 1. 1) We start with the ((n — 1) x n)-matrix Mo the rows of which
coincide with the coordinates of the vertices jD° , . . . , D°_1 of Aq-2; see (1). 2)
Replacing a unique zero row in Mo by (1, 1, . . . , 1, 0), we obtain a matrix Mi; it is
formed ...
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İçindekiler
ISOMETRIC EMBEDDINGS OF FINITEDIMENSIONAL SPACES | 17 |
Dedicated to M Sh Birman on the occasion of his 75th birthday | 285 |
Abstract The nonexistence of isometric embeddings I J1 t with p q is proved | 296 |
Telif Hakkı | |
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admits separation approximation assume asymptotic Birman BKN-equation boundary condition bounded C(zlm coefficients cohomology classes components consider constant Corollary corresponding defined definition denote diffeomorphism differential equations Dirac operator domain edge eigenvalues elliptic English transl estimate Euler characteristic exists finite formula geodesic graph-manifold Hilbert space holomorphic homogeneous hypoelliptic implies inequality inverse kernel labeled graph Lemma linear Math Mathematics Subject Classification matrix matrix-valued function maximal blocks meromorphic monodromy nonzero norm notation NPC-solution obtain oriented Painleve Painleve equations pair paper polynomial positive potential problem proof of Theorem properties Proposition prove rational refinable function relation respect result Riemann-Hilbert problem Riemannian manifold satisfies Seifert fibered Seifert fibered space selfadjoint selfadjoint operators singular smooth Sobolev Sobolev spaces spectrum Subsection subspace Suppose symmetric tensor Theorem Theorem 3.1 theory torus trace class unique vector vertex vertices zero