Solutions to the 77
نویسنده
چکیده
Remark: By the same reasoning, if one replaces 2016 in the problem by a general integer N, then the minimum value of j is the smallest one for which N divides j!. This can be deduced from Pólya’s observation that the set of integer-valued polynomials is the free Zmodule generated by the binomial polynomials (x n ) for n = 0,1, . . . . That statement can be extended to polynomials evaluated on a subset of a Dedekind domain using Bhargava’s method of P-orderings; we do not know if this generalization can be adapted to the analogue of this problem, where one considers polynomials whose j-th derivatives take integral values on a prescribed subset.
منابع مشابه
New study to construct new solitary wave solutions for generalized sinh- Gordon equation
In this work, we successfully construct the new exact traveling wave solutions of the generalized Sinh–Gordon equation by new application of the homogeneous balance method. The idea introduced in this paper can be applied to other nonlinear evolution equations.
متن کاملApplication of the tan(phi/2)-expansion method for solving some partial differential equations
In this paper, the improved -expansion method is proposed to solve the Kundu–Eckhaus equation and Gerdjikov–Ivanov model. The applied method are analytical methods to obtaining the exact solutions of nonlinear equations. Here, the aforementioned methods are used for constructing the soliton, periodic, rational, singular and solitary wave solutions for solving some equations. We obtained furthe...
متن کاملEfficacy of Silwet L-77 against several arthropod pests of table grape.
Silwet L-77, an organosilicone surfactant, was applied to several arthropod pests of California table grapes. Eggs of grape mealybug, Pseudococcus maritimus (Ehrhorn), and omnivorous leafroller, Platynota stultana Walsingham, were tolerant to 0.1, 0.25, and 0.5% treatment solutions; however, eggs of Pacific spider mite, Tetranychus pacificus McGregor, were highly susceptible with mortality >99....
متن کاملapplication of experimental design to emulsion liquid membrane pertraction of gold ons from aqueous solutions
متن کامل
The modified simplest equation method and its application
In this paper, the modified simplest equation method is successfully implemented to find travelling wave solutions of the generalized forms $B(n,1)$ and $B(-n,1)$ of Burgers equation. This method is direct, effective and easy to calculate, and it is a powerful mathematical tool for obtaining exact travelling wave solutions of the generalized forms $B(n,1)$ and $B(-n,1)$ of Burgers equation and ...
متن کاملFew heuristic optimization algorithms to solve the multi-period fixed charge production-distribution problem
This paper deals with a multi-period fixed charge production-distribution problem associated with backorder and inventories. The objective is to determine the size of the shipments from each supplier and backorder and inventories at each period, so that the total cost incurred during the entire period towards production, transportation, backorder and inventories is minimised. A 0-1 mixed intege...
متن کامل