Reducing the Erdős–Moser Equation 1 n + 2 n + ⋯ + kn = (k + 1) n Modulo k and k 2

On the Rational Recursive Sequence X_{N+1}=ƔX_{N-K}+(AX_N+BX_{N-K})⁄(CX_N-DX_{N-K})

Dynamics of higher order rational difference equation $x_{n+1}=(alpha+beta x_{n})/(A + Bx_{n}+ Cx_{n-k})$

The main goal of this paper is to investigate the periodic character, invariant intervals, oscillation and global stability and other new results of all positive solutions of the equation$$x_{n+1}=frac{alpha+beta x_{n}}{A + Bx_{n}+ Cx_{n-k}},~~ n=0,1,2,ldots,$$where the parameters $alpha$, $beta$, $A$, $B$ and $C$ are positive, and the initial conditions $x_{-k},x_{-k+1},ldots,x_{-1},x_{0}$ are...

on the rational recursive sequence x_{n+1}=ɣx_{n-k}+(ax_n+bx_{n-k})⁄(cx_n-dx_{n-k})

Dynamic Routing on Arrays References P N K=1 W K . an Easy Calculation Shows That W K = 2 F(k=n) N + O( 1 N 2 ), Where

A measure for asymptotic eeciency of a hypothesis based on the sum of observations. 4] B. Hajek. Hitting-time and occupation-time bounds implied by drift analysis with applications. Dynamic routing on arrays 17 with total expectation less than 0. Hence the tail of the distribution of M s;h is exponentially decreasing. As in Theorem 4.7, we can show that a packet's head generated at relative tim...

γ k ( n ) = max { n / ( 2 k + 1 ) , 1 } for Maximal Outerplanar Graphs with n mod ( 2 k + 1 ) ≤ 6 L iang

Let G = (V, E) be an undirected graph with a set V of nodes and a set E of edges, |V | = n. A node v is said to distance-k dominate a node w if w is reachable from v by a path consisting of at most k edges. A set D ⊆ V is said a distance-k dominating set if every node can be distance-k dominated by some v ∈ D. The size of a minimum distance-k dominating set, denoted by γk(G), is called the dist...