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13 Apr 2007: The degree ofan operator A B(H) is defined by. deg(A) = supn1. ... Let E B and F B be closed subspaces of a Banachspace B.

23 Jul 2014: b0 0 1. b1 0. ,. where b = ( ,b1,b0,b1, ) {1}Z is a pseudoergodicsequence. ; ... every finite pattern of 1’s can be foundsomewhere in the infinite sequence b.

6 Feb 2019: b b. q q. Γ3. {τ(Bs)/τ(Bd). Γs. b b. Γ0. . ... 2004: Greub, A.L., Nierste; 2008 A.L. E1. d. b. d. b.

19 Jun 2014: m & µ(U) N s (1 log(1/)) log(N), [ 2 ]. (a)(a) (b)(b). (c)(c) (d)(d). Fig. 1. (a) 12.5% uniform random subsampling scheme, (b) CS reconstructionfrom ... b}. The kth relative sparsity is. Sk = Sk(N,M,s) = maxzΘ‖PNk1Nk Uz‖.

5 Oct 2013: The degree ofan operator A B(H) is defined by. deg(A) = supn1. ... Let A B(H) and let {ej} be an orthonormal basis for H.

21 Feb 2014: a] [b], b R(B1). Definition 2.5 (Optimal ordering). Given the setup above, then any element of the optimal equivalence classis called an ‘optimal ordering of the basis pair ... Theorem 2.14. Let U B(l2(N)) be an isometry. ThenN µ(QNU) diverges.

8 Nov 2015: Let E B and F B be closedsubspaces of a Banach space B. ... Pk(T z)Pk))2nPmH. (6.2). 13. and the fact that for self-adjoint A,B B(H) we have dH(σ(A),σ(B)) ‖AB‖ it suffices to show

30 Oct 2008: We add and subtractf(b),. I[f,g,θ] = f(b). b. a. g(sin[ωθ(x)]) dx. ... b. a. [f(x) f(b)]g(sin[ωθ(x)]) dx. = f(b). b. a. g(sin[ωθ(x)]) dx.

6 Feb 2019: Alexander Khodjamirian Exclusive semileptonic B and Λb decays at large hadronic recoil 1 / 37. ... b. s. b. b. s. s G(ux). G(vx). 0. x. x.

12 Nov 2020: We can convert the above system to the symmetricand positive definite setting by defining A = BT B, b = BT c andthen solving Ax = b with the conjugate gradient algorithm (orany other ... 1) Set k = 0, x(0) = 0, r(0) = b, and d(0) = r(0);.

6 Feb 2019: where ω,A,B,C,κn R and A,B 6= 0, also satisfies equation (1.2). ... The identity,. 2F1. [n,b;c;. z. ]=. (c b)n(c)n. 2F1. [n,b;b cn 1; 1 z. ],.

24 Nov 2023: a b = b a , (38). which simply follows from the fact that the direction of the cross product. ... a b c = b c a = c a b= a c b = b a c = c b a.

8 Nov 2015: Let E B and F B be closedsubspaces of a Banach space B. ... Pk(T z)Pk))2nPmH. (6.2). 13. and the fact that for self-adjoint A,B B(H) we have dH(σ(A),σ(B)) ‖AB‖ it suffices to show

22 Mar 2012: we define asymptotic method as. QAs [f ] =s1k=0. (1)k(σk(b)B. 1ω (b)X̄ω(b) σk(a)B1ω (a)X̄ω(a). ). ... I [f ]. k=0(1)k. (σk(b)B. 1ω (b)X̄ω(b) σk(a)B1ω (a)X̄ω(a). ). (10).

10 Oct 2011: D(g) =(D̂(g) B(g). 0 C(g). )for u =. (û0. ), (1.19). ... v1,v2) a. (e2πki. n v1,e 2πki. n v2) = (v1,v2)A, (v1,v2) b.

11 Jan 2017: Following [36], we let k = {B gl(N 1) :255ι(B) = B} and p = {B gl(N 1) : ι(B) = B} be the fixed points and anti-fix256points of the automorphism ... abρ′B. Multiplication by b and integration implies the integral bρA(t)aσ(t) =498.

9 Jan 2013: We must instead consider its logarithmic norm(Söderlind 2006) µ[B], namely the largest eigenvalue of the symmetric matrix B̃ =12 (B B. >). ... cussion yet, even if B is skew symmetric, we are not done yet!

1 Sep 2011: f(x) :=. k3. i=0. αii! (x a)i 1. (k 3)! b. ... g =. {h, on [a, b) ,p, on [b, b δ].

7 Aug 2007: n). In other words, CA is defined by the relation. ν(adAB) = CAν(B), B so(n). ... 8] A. Iserles. A Magnus expansion for the equation Y ′ = AY Y B.

6 Feb 2019: t1 tOB=2 t2. b b. q q. I Location of four-quark operator is fixed. ... 15. I Computation of B B (to get Zbbv ) similar to B πI Independent of the light spectator quark mass.