Zipper fractal interpolation function (ZFIF) is a generalization of through an
 improved version iterated system by using binary parameter called signature. The signature
 allows the horizontal scalings to be negative. ZFIFs have complex geometric structure, and they can
 non-differentiable on dense subset an interval I. In this paper, we construct k-times continuously
 diff...

priority queues have a great importance in the study of computer communication networks in which different types of traffic require different quality of service standards. the discrete-time non-preemptive priority queuing model with priority jumps is proposed in this paper. on the basis of probability generating functions mean system contents and mean queuing delay characteristics are obtained....

This is a Fuchsian equation of order n with singularities at 0, 1,∞. The local exponents read, 1− β1, . . . , 1− βn at z = 0 α1, . . . , αn at z =∞ 0, 1, . . . , n− 2, −1 + ∑n 1 (βi − αi) at z = 1 When the βi are distinct modulo 1 a basis of solutions at z = 0 is given by the functions z1−βi nFn−1 ( α1 − βi + 1, . . . , αn − βi + 1 β1 − βi + 1, ..∨.., βn − βi + 1 ∣∣∣∣ z) (i = 1, . . . , n). Her...

In the present study, the boundary value problems in generalized thermodiffusive elastic medium has been investigated as a result of inclined load. The inclined load is assumed to be a linear combination of normal load and tangential load. Laplace transform with respect to time variable and Fourier transform with respect to space variable are applied to solve the problem. As an application of t...

Let us review the fundamental framework of streaming. Suppose we have a stream coming in from time 0 to time T . At each time t ∈ [T ], the coming element is at ∈ [n]. Frequency for any element i is defined as mi = |{j|aj = i}|. We will see a few problems to solve under this framework. For different problems, we expect to have a complexity of only O(log n) and O(log T ) on either storage or upd...