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Kuz'min Èduard Alekseevich

Publications in Math-Net.Ru

  1. Crystal structure of lamprophyllite

    Dokl. Akad. Nauk SSSR, 269:1 (1983),  117–120
  2. On the determination of phases from the linear relation between structure amplitudes

    Dokl. Akad. Nauk SSSR, 267:4 (1982),  853–855
  3. On the possibility of the determination of structure amplitudes by an algebraic method

    Dokl. Akad. Nauk SSSR, 267:3 (1982),  644–645
  4. On one possible algorithm of the entropy method of construction of electron density in a crystal

    Dokl. Akad. Nauk SSSR, 267:2 (1982),  388–390
  5. On the additional symmetry at the superposition of regular systems of points

    Dokl. Akad. Nauk SSSR, 267:1 (1982),  95–96
  6. Fourier-synthesis of electron density in a crystal and the digital filtration

    Dokl. Akad. Nauk SSSR, 266:2 (1982),  358–360
  7. On the characteristic equations of crystallographic matrices

    Dokl. Akad. Nauk SSSR, 265:6 (1982),  1390–1392
  8. Crystal structure of triphenylstibium dibenzoate $\mathrm{C}_{32}\mathrm{H}_{25}\mathrm{O}_4\mathrm{Sb}$

    Dokl. Akad. Nauk SSSR, 265:2 (1982),  332–335
  9. Application of algebraic method for obtaining a basic system from the vector system

    Dokl. Akad. Nauk SSSR, 265:1 (1982),  73–76
  10. On the interpretation of Fourier-syntheses in the presence of pseudosymmetry

    Dokl. Akad. Nauk SSSR, 263:6 (1982),  1374–1376
  11. Crystal structure of $3{,}3{,}3$-triphenyl-$3$-phosphorus-$1{,}3$-dihydro-$1$-oxoisobenzofuran, $(\mathrm{C}_6\mathrm{H}_5)_3\mathrm{P}(\mathrm{C}_6\mathrm{H}_4)\mathrm{CO}_2\cdot2\mathrm{H}_2\mathrm{O}$

    Dokl. Akad. Nauk SSSR, 261:1 (1981),  91–94
  12. Crystal structure of $\mathrm{C}_{24}\mathrm{H}_{20}\mathrm{ClSb}$

    Dokl. Akad. Nauk SSSR, 260:5 (1981),  1124–1127
  13. Crystal structures of $\mathrm{Li}_3\mathrm{Cr}_4\mathrm{PO}_{16}\cdot3\mathrm{H}_2\mathrm{O}$

    Dokl. Akad. Nauk SSSR, 257:3 (1981),  619–621
  14. On the symmetry on $N$-dimensional translational lattice

    Dokl. Akad. Nauk SSSR, 257:2 (1981),  361–363
  15. On the specificity of nodal row and plane locations in $N$-dimensional translational lattice

    Dokl. Akad. Nauk SSSR, 257:1 (1981),  109–111
  16. On the informational-entropy method of electron density construction in a crystal

    Dokl. Akad. Nauk SSSR, 255:4 (1980),  862–864
  17. On the taking account of crystal symmetry using an algebraic method of the determination of coordinate of atoms (interatomic vectors).

    Dokl. Akad. Nauk SSSR, 254:2 (1980),  369–370
  18. Deciphering of the crystal structure of ammonium monoaquapentafluorogallate without calculation of Fourier series

    Dokl. Akad. Nauk SSSR, 254:2 (1980),  363–365
  19. Determination of the crystal structure $\mathrm{RbJO}_3\cdot2\mathrm{HJO}_3$ without using the Fourier series

    Dokl. Akad. Nauk SSSR, 252:3 (1980),  615–618
  20. Determination of the crystal structure of $\mathrm{NH}_4\mathrm{IO}_3\cdot2\mathrm{HIO}_3$ without using the Fourier series

    Dokl. Akad. Nauk SSSR, 252:1 (1980),  108–110
  21. Taking account of the symmetry when determining atom- and interatom vector coordinates by an algebraic method

    Dokl. Akad. Nauk SSSR, 251:3 (1980),  608–610
  22. An algebraic method of superposition function construction

    Dokl. Akad. Nauk SSSR, 251:2 (1980),  350–352
  23. Algorithm of the algebraic method of calculation of the basic and vector systems

    Dokl. Akad. Nauk SSSR, 250:5 (1980),  1134–1136
  24. On the determination of coefficients of the characteristic equation in the problem of decomposition of a noise-distorted function into a sum of exponents

    Dokl. Akad. Nauk SSSR, 248:6 (1979),  1341–1343
  25. A new algebraic approach to the decomposition of a one-dimensional function into a sum of exponents

    Dokl. Akad. Nauk SSSR, 248:5 (1979),  1116–1119
  26. On the possibility of decomposition of a complex multidimensional function into its components

    Dokl. Akad. Nauk SSSR, 248:4 (1979),  872–874
  27. Crystal structure of triphenyl (triphenylgermylperoxy) silane, $(\mathrm{C}_6\mathrm{H}_5)_3\mathrm{GeOOSi}(\mathrm{C}_6\mathrm{H}_5)_3$

    Dokl. Akad. Nauk SSSR, 246:3 (1979),  601–605
  28. Crystal structure of lanthanum decavanadate, $\mathrm{La}_2\mathrm{V}_{10}\mathrm{O}_{28}\cdot20\mathrm{H}_2\mathrm{O}$

    Dokl. Akad. Nauk SSSR, 242:3 (1978),  603–605
  29. A new method of the construction of crystal vector systems without the Fourier series calculation

    Dokl. Akad. Nauk SSSR, 242:2 (1978),  344–346
  30. The division of multidimensional complex curve into its components

    Dokl. Akad. Nauk SSSR, 242:1 (1978),  97–98
  31. The decomposition of an arbitrary three-dimensional complex curve into its components

    Dokl. Akad. Nauk SSSR, 241:4 (1978),  832–833
  32. On crystal structure of ammonium monoaquapentafluorogallate, $(\mathrm{NH}_4)_2\mathrm{GaF}_5\cdot\mathrm{H}_2\mathrm{O}$

    Dokl. Akad. Nauk SSSR, 241:2 (1978),  357–359
  33. Crystal structure of potassium trichromate $\mathrm{K}_2\mathrm{Cr}_3\mathrm{O}_{10}$

    Dokl. Akad. Nauk SSSR, 239:6 (1978),  1343–1345
  34. Crystal structure of yttrium decavanadate, $\mathrm{Y}_2\mathrm{V}_{10}\mathrm{O}_{28}\cdot24\mathrm{H}_2\mathrm{O}$

    Dokl. Akad. Nauk SSSR, 235:3 (1977),  578–580
  35. Crystal structure of cobalt metavanadate, $\mathrm{Co}(\mathrm{VO}_3)_2\cdot4\mathrm{H}_2\mathrm{O}$

    Dokl. Akad. Nauk SSSR, 226:3 (1976),  574–576
  36. On the solution to Patterson integral equation (for an ideal case of nonperiodic electron density)

    Dokl. Akad. Nauk SSSR, 225:1 (1975),  91–93
  37. Crystalline structure of $\mathrm{CsIn}(\mathrm{SeO}_4)_2\cdot2\mathrm{H}_2\mathrm{O}$

    Dokl. Akad. Nauk SSSR, 224:2 (1975),  335–337
  38. Crystal structure of holmium periodate, $\mathrm{HoJO}_5\cdot4\mathrm{H}_2\mathrm{O}$

    Dokl. Akad. Nauk SSSR, 222:6 (1975),  1335–1337
  39. Analytic representation of the algorithm of search for the linear chain of peaks and interaction parallelograms in Patterson function

    Dokl. Akad. Nauk SSSR, 220:6 (1975),  1312–1315
  40. A new (analytic) representation of the process of Patterson function deciphering according to separation functions

    Dokl. Akad. Nauk SSSR, 220:3 (1975),  588–591
  41. Crystal structure of double $\mathrm{Cs}$, $\mathrm{La}$-sulphate, $\mathrm{Cs}_2\mathrm{SO}_4\cdot\mathrm{La}_2(\mathrm{SO}_4)_3\cdot8\mathrm{H}_2\mathrm{O}$

    Dokl. Akad. Nauk SSSR, 220:2 (1975),  346–348
  42. Deciphering of crystalline structure of $\mathrm{Na}_{11}\mathrm{Nb}_2\mathrm{Ti}[\mathrm{Si}_2\mathrm{O}_7]_2 [\mathrm{PO}_4]_2\mathrm{O}_3\mathrm{F}$ by the method of vector subsystems

    Dokl. Akad. Nauk SSSR, 217:3 (1974),  569–572
  43. Crystalline structure of $\mathrm{Na}_{11}\mathrm{Nb}_2\mathrm{TiSi}_4\mathrm{P}_2\mathrm{O}_{25}\mathrm{F}$

    Dokl. Akad. Nauk SSSR, 216:1 (1974),  78–81
  44. An investigation of binary sulphates of alkalis and rare-earths. Synthesis and structure of $\mathrm{Tb}_2(\mathrm{SO}_4)_3\cdot\mathrm{K}_2(\mathrm{SO}_4)\cdot2\mathrm{H}_2\mathrm{O}$

    Dokl. Akad. Nauk SSSR, 214:6 (1974),  1315–1318
  45. On the crystalline structure of mixed zinc and manganese ortho-germanate, $\mathrm{ZnMnGeO}_4$

    Dokl. Akad. Nauk SSSR, 214:2 (1974),  320–323
  46. On crystalline structure of indium pyrogermanate, $\mathrm{In}_2\mathrm{Ge}_2\mathrm{O}_7$

    Dokl. Akad. Nauk SSSR, 213:4 (1973),  837–839
  47. Interpretation of $\mathrm{K}_2\mathrm{SmF}_5$ crystalline structure by the peak rhomb method

    Dokl. Akad. Nauk SSSR, 212:2 (1973),  357–359
  48. The application of rhomb method for the interpretation of $\mathrm{KSmF}_4$ crystalline structure

    Dokl. Akad. Nauk SSSR, 212:1 (1973),  96–98
  49. Crystalline structure of silver vanadate, $\mathrm{Ag}_{2-x}\mathrm{V}_4\mathrm{O}_{10}$ ($x=0,57$)

    Dokl. Akad. Nauk SSSR, 210:2 (1973),  339–341
  50. Algorithm of Patterson function decoding by the rhomb method for crystals of lower (monoclinal and rhombic) syngonics

    Dokl. Akad. Nauk SSSR, 209:5 (1973),  1088–1091
  51. Algorithm for interpreting a real Patterson function by two arbitrary (multiple) peaks

    Dokl. Akad. Nauk SSSR, 209:4 (1973),  842–845
  52. Analysis of Patterson's function. Vector subsystems responding to several multiple peaks (sets of isolated segments)

    Dokl. Akad. Nauk SSSR, 209:2 (1973),  344–347
  53. On vector systems of segments in specific positions (peak rhombus degeneration)

    Dokl. Akad. Nauk SSSR, 207:6 (1972),  1340–1342
  54. Patterson's function as a vector system of segments (General case, space group $P1$)

    Dokl. Akad. Nauk SSSR, 207:5 (1972),  1105–1108
  55. Interpretation of triclinic structure with 195 parameters based on the method of vector subsystems. Crystalline structure of tinaksite

    Dokl. Akad. Nauk SSSR, 207:3 (1972),  589–592
  56. On vector subsystems of polygons in tree-dimensional Patterson's function

    Dokl. Akad. Nauk SSSR, 206:2 (1972),  343–345
  57. On the supplement to Buerger algorithm of the separation of basic system from a vector system

    Dokl. Akad. Nauk SSSR, 205:2 (1972),  339–341
  58. Separation of basic system from a vector system when the former includes several identical or inverted $k$-polyhedra. General case, Fedorov's group $P1$

    Dokl. Akad. Nauk SSSR, 201:6 (1971),  1346–1348
  59. Deciphering of vector system by the parallel vector method using peaks of arbitrary multiplicity ($\ge3$). Fedorov's group $P1$

    Dokl. Akad. Nauk SSSR, 201:5 (1971),  1092–1094
  60. Isolation of the basic system from a vector system by the multiple peak method in crystals of monoclinic syngony

    Dokl. Akad. Nauk SSSR, 200:5 (1971),  1095–1098
  61. On some regularities of maximuma location on separation functions in the presence of multiple peaks in vector system (general case Fedorov's $P1$ groups)

    Dokl. Akad. Nauk SSSR, 196:5 (1971),  1080–1083
  62. Theorem of isolation of the basic system from a vectorial one according to $n$-multiplicity peak (general case, Fedorov's $P1$ group)

    Dokl. Akad. Nauk SSSR, 195:4 (1970),  831–833
  63. Crystalline structure of fenaksite $\mathrm{FeNaK}[\mathrm{Si}_4\mathrm{O}_{10}]$ ($\mathrm{KNaFe}[\mathrm{Si}_4\mathrm{O}_{10}]$)

    Dokl. Akad. Nauk SSSR, 194:4 (1970),  818–820
  64. Isolation of the basic system from the vector one according to two multiplicity peak (Feodorov group $P1$)

    Dokl. Akad. Nauk SSSR, 193:4 (1970),  812–813
  65. Isolation of the basic system from the vector one according to two multiplicity peak (general case, Feodorov group $P1$)

    Dokl. Akad. Nauk SSSR, 193:3 (1970),  579–582
  66. Crystalline structure of potassium tetrachromate $\mathrm{K}_2\mathrm{Cr}_4\mathrm{O}_{13}$

    Dokl. Akad. Nauk SSSR, 192:6 (1970),  1272–1274
  67. On details of Paterson's syntheses directly connected with structure symmetry elements

    Dokl. Akad. Nauk SSSR, 192:1 (1970),  86–89
  68. Crystalline structure of $\mathrm{Na}$-titanogermanate $\mathrm{Na}_2(\mathrm{TiO})[\mathrm{GeO}_4]$

    Dokl. Akad. Nauk SSSR, 190:1 (1970),  91–93
  69. Vector system deciphering by one multiple peak

    Dokl. Akad. Nauk SSSR, 189:4 (1969),  774–777
  70. The crystal structure of sodium dichromate $\mathrm{Na}_2\mathrm{Cr}_2\mathrm{O}_7\cdot2\mathrm{H}_2\mathrm{O}$

    Dokl. Akad. Nauk SSSR, 186:1 (1969),  96–98
  71. Deciphering of Paterson's function by its multiple cycles

    Dokl. Akad. Nauk SSSR, 182:5 (1968),  1067–1070
  72. The crystal structure of potassium bichromate $\mathrm{K}_2\mathrm{Cr}_2\mathrm{O}_7$

    Dokl. Akad. Nauk SSSR, 173:5 (1967),  1068–1071
  73. The crystal structure of the simplest silicates of $\mathrm{La}$ and $\mathrm{Sm}$

    Dokl. Akad. Nauk SSSR, 165:1 (1965),  88–90


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