The Flow of Gas with Dispersed Particles in a Cylindrical Channel at a Subsonic Speed
... of a study of changes in gas parameters along the channel at different gas flow rates. The graphs show dimensional variables. We consider the distributed density of the dispersed phase, the temperatures of the carrier and dispersed phases, the Mach number M, the Reynolds number Re, the Nusselt number Nu, and the Stokes number Stk.
1. Великанов Н. Л., Наумов В. А., Корягин С. И. Течение газа в цилиндрическом канале при дозвуковой ...
An elementary solving of cubic Diophantine equations
... full solving for all values s is received.
1. Айерлэнд К., Роузен М. Классическое введение в современную теорию чисел. М., 1987.
2. Cao Z. F. Diophantine equations and divisibility of class number of real quadratic fields // Acta Mathematica, Sinica. 1994. Vol. 37. P. 625—631.
3. Dong X. L., Cao Z. F. Diophantine Equations and Class Numbers of Real Quadratic Fields // Acta Arithmetica, XCVII. 2001. Vol. 4. P. 313—328.
4. Jacobson M. ...
Subsets of prime numbers in the generalized arithmetical progressions
... progression of the power k and difference d is given. For k 1,7 formulas of nth member of such progressions and for k 1, 2, 3 formulas for the sum of the first n its members are obtained. Progressions ( ) , k p d M with the first member prime number p and difference being a positive even number d 2m (m ) are considered. Such progressions define subsets ( )
, , k h p d M of h prime numbers (h ). For k 20, p 95467, d 108 all subsets (1) h,p,d M with h 15 prime numbers ...
How to extract formulas from Pascal's triangle to find all primes
... triangle is confirmed and the main results of finding its numerical discriminant are given. Exactly, the numerical properties of the truncated Pascal triangle for the direct finding of all primes are found.
Sherban V. L.
Pascal triangle, Fibonacci numbers, prime numbers, recurrent sequences
The abundance and territorial distribution of the Eurasian Coot (Fulica atra) and Common Moorhen (Gallinula chloropus) in Kaliningrad
... per km2 in the most suitable habitats with an average density of only 4.0 pairs per km2. The population density of the Moorhen reaches 5 pairs per km2 in optimal habitats with an average density of 2.0 pairs per km2. A negative correlation between the number of birds and the urbanisation rate of the city territory is observed in the Moorhen (r s = — 0.44; P <0.05). The breeding area of the Moorhen has increased over the last decades. The Coot breeding area has not changed significantly, whereas ...