This is the contents of a talk by O. L. presented at the 35th International Symposium Ahrenshoop in Berlin, Germany, 26–30 August 2002. It is argued that the (NS-sector) superstring field equations are integrable, i. e. their solutions are obtainable from linear equations. We adapt the 25-year-old solution-generating “dressing” method and reduce the construction of nonperturbative superstring c...

* G Z £ ` ì X Ñ Š + Z % M Z z g g \ 1 Ð Cosmoplitan ̧ ‹ Ç q ¢ » ]  î0 g Z ò Z ß ‰Ü Å { F, + V w 7 TM D (Cosmopolitan Society) Z Š c* y 6, ¢ g np ƒ ñ Ì ë W } ` g c* „ Z ] (Roman Catholac Vitican) X Z % Z u Z L Å = ã Z z g g z x Å g z ð Å ́ z * Å Š z ß g ' Z μ Ð ñ Š X ‚ g ~ Š * ~ è I g z Z Š Z g ~ Z z g à ~ ë W ° » 6, e g TM ä z Z Ñ 7 \ ~ Z L Š ú ƒ V Ð Z à W @* ì X Z k 9 ) Ï î E 0 2 £ Ð Ü 1⁄2...

A well-known result on spectral variation of a Hermitian matrix due to Mirsky is the following: Let A and à be two n×n Hermitian matrices, and let λ1, . . . , λn and λ̃1, . . . , λ̃n be their eigenvalues arranged in ascending order. Then ∣∣∣∣∣∣diag (λ1 − λ̃1, . . . , λn − λ̃n)∣∣∣∣∣∣ ≤ ∣∣∣∣∣∣A− Ã∣∣∣∣∣∣ for any unitarily invariant norm ||| · |||. In this paper, we generalize this to the perturbation ...

The classical à Lojasiewicz inequality and its extensions for partial differential equation problems (Simon) and to o-minimal structures (Kurdyka) have a considerable impact on the analysis of gradient-like methods and related problems: minimization methods, complexity theory, asymptotic analysis of dissipative partial differential equations, tame geometry. This paper provides alternative chara...

Este trabalho estuda a possibilidade de aproveitamento do rejeito da concentração minério ferro Mina Andrade para composição traço blocos intertravados concreto (Pavers), em substituição à areia. Inicialmente, foi realizada caracterização através análise granulométrica, determinação umidade, química e difração raios-X. Na segunda etapa trabalho, foram confeccionados corpos pro...

Background/Aims—The intestinal immune system faces large amounts of antigens, and its regulation is tightly balanced by cytokines. In this study, the eVect of intestinal flow diversion on spontaneous secretion of interleukin (IL)-4 and interferon (IFN)ã was analysed. Methods—Eight patients (two with Crohn’s disease, four with ulcerative colitis, and two with previous colon cancer) carrying a do...

Negative ion photoelectron spectroscopy has been used to study the HCCN and HCNC ions. The electron affinities ~EA! of cyanocarbene have been measured to be EA~HCCN X̃ S52.003 60.014 eV and EA~DCCN X̃ S)52.00960.020 eV. Photodetachment of HCCN to HCCN X̃ S shows a 0.4 eV long vibrational progression in n5 , the H–CCN bending mode; the HCCN photoelectron spectra reveal excitations up to 10 quanta i...

In a classic paper by G. Herzberg and J. W. C. Johns entitled "The Spectrum and Structure of Singlet CH(2)" (Proc. Roy. Soc. A 295, 107-128 (1966)) the analysis of the &btilde;(1)B(1)<--ã(1)A(1) red absorption band system of CH(2) is discussed in detail for the first time. In addition to that band system the observation of a fragment of a weak near ultraviolet absorption band system is reported...

In this paper, we first give the representation of the general solution of the following inverse eigenvalue problem (IEP): Given X ∈ Rn×p and a diagonal matrix Λ ∈ Rp×p, find nontrivial real-valued symmetric arrow-head matrices A and B such that AXΛ = BX. We then consider an optimal approximation problem: Given real-valued symmetric arrow-head matrices Ã, B̃ ∈ Rn×n, find (Â, B̂) ∈ SE such that ‖Â...

To obtain coprime polynomial pairs, it is often used an approach that consists of taking two random polynomials of the required degrees and testing whether they are relatively prime. If they are not, they are discarded and another pair is tried. The test can obviously be carried out very efficiently. Although in many cases the probability of success for the test is close to 1, this test approac...