[en] We obtain upper estimates for the Lipschitz constants of the metric ε-projection operator P in terms of the modules of convexity and smoothness of the space when the following three parameters are varied: the approximee x, the convex approximating set M, and the accuracy of approximation ε>0. These estimates are unimprovable in the class of all normed linear spaces. We use them to obtain new stability evaluations for continuous selectors of the operator P

[en] The evidence for production of a long-lived superheavy element with Z=112 in W targets which were irradiated with 24 GeV protons is described. Spontaneous fission events with a half life of several weeks were observed in Hg sources which were separated from two W targets. The measured masses of the fissioning nuclei are consistent with various molecules of element 112 with about 160 neutrons. 43 refs

[en] The mobility of the oxidized astatine in solutions H(Na)ClO₄ (μ=0.4 M) - 1x10^-4 M K₂Cr₂O₇ has been measured at 25 deg C in the interval 0.63 <= pH <= 1.68. Under these conditions astatine migrated to cathode only. The speed of the migration depended upon the concentration of hydrogen ions in the solution: pH 1.68 Usub(c)=1.17x10^-4 cm² V^-1s^-1, pH 0.63 Usub(c)=2.67x10^-4 cm²V^-1s^-1. The effect agrees with the opinion that a single-charged cation of astatine formed in acidic solutions is a strong aquacomplex ((Hsub(2)O)sub(x)At)sup(+) (x=1-2) (protonized hypoastatine acid). Deprotonization constant of this cation is Ksub(dp)=0.032+-0.005. Specific properties of the astatine cation are given. They can be explained, probability, through the peculiarities of its structure

[en] A new variant of technique for determining ion mobilities by means of horizontal zone electrophoresis in free solutions is developed. Setup circuit is presented. Some details of experiment and results of measuring limiting mobilities of ¹³¹I^- and ¹⁶⁰Tb³⁺ are given. On these examples the method reproducibility was checked

[en] Abstract only

[en] A summary of the secondary reaction experiments done with CERN W targets is given. The spontaneous fission events previously observed in Hg sources, the masses of the fissioning nuclei, the energies of the fission fragments and the value of ν , are interpreted in a consistent manner assuming that the formation of neutron-deficient superheavy isotopes is not impossible. Evidence is presented for the formation of long-lived isomeric states in neutron-deficient ²³⁶Am and ²³⁶Bk nuclei, and for abnormal particle emission. The predictions of Hartree-Fock calculations and the possibility for oblate isomeric states which may offer explanation to the experimental results are given

[en] A new variant of a technique for determining ion mobilities by means of horizontal zone electrophoresis in free solutions is developed. Setup circuit is presented. Some details of experiment and results of measuring limiting mobilities of ¹³¹I^- and ¹⁶⁰Tb³⁺ are given. On these examples the reproducibility was checked. (author)

[en] Fission fragments from a Hg source produced from ⁸⁸Sr inelastic scattering from a ¹⁸⁴W target have been studied. Production of superheavy elements via secondary reactions is considered

[en] The mobility of oxidized astatine in solutions H(Na)ClO₄ (μ=0.4M)-1.10^-4M K₂Cr₂O₇ has been measured at 25 degC in the interval 0.63<=pH<=1.68. Under these conditions astatine migrates to the cathode only. The speeds of the migration depends upon the concentration of hydrogen ions in solutions are: pH 1.68 Usub(c)=1.17.10^-4 cm² V^-1 s^-1; pH 0.63 Usub(c)=2.67.10^-4 cm² V^-1 s^-1. The effect agrees with the opinion that the singly charged cation of astatine formed in acidic solutions is a strong aquacomplex [(H₂O)sub(x)At]⁺ (x=1-2) (protonated hypoastatic acid). Deprotonation constant of this cation is Ksub(dp)=0.032+-0.005. Specific properties of the astatine cation are given. They can be explained, probably, through the peculiarities of its structure. (author)

[en] Complete text of publication follows. Recently (1) ²⁹³118 was produced and α-decayed sequentially down to ²⁶⁹Sg (Z = 106). The α-decay energies vary rather smoothly along the chain, precluding Z=114 as a magic proton number in these nuclei. Recent phenomenological studies of BE(2) (2) and Wigner term (3) systematics, and also self-consistent mean-field calculations (4), indicate Z = 126 as the next proton magic number beyond lead. (See also (5).) The semiempirical shell-model mass equation (SSME) (6) is based on the assumption that Z = 114 is the next proton magic number after lead, and it stops there. Moreover, the quality of its agreement with the data starts deteriorating beyond Hs (Z = 108). One has to find a substitute for the equation in the neighbourhood of Z = 114 and beyond. In the early stages of developing the SSME (7) both Z = 114 and Z = 126 were tried as a shell boundary. The agreement with the data was about the same for both choices, and considering the prevailing view in the mid nineteen-seventies Z = 114 was chosen for the SSME mass table. Here we establish a high predictive power for the Z = 126 results by comparing them to the newer data measured since then, and propose using the Z = 126 mass equation as a substitute for the SSME in superheavy elements (SHE) research. The equation is applied to discussing the results of two recent SHE experiments (1,8). It is in good agreement with the measured energies in (1). (author)