Generating function is an effective method to solve combinatorial counting problem, but it most likely to be neglected in combinatorial mathematics teaching. In this paper, we provides a demonstration for combinatorial mathematics teaching improvement by using the generating function solving combination number and the sum of preceding n terms among sequence of numbers.

Teaching children with autism requires special set of tools and methods, due to decreased level of attention towards stimuli presented and lessened capability to learn in the ways typical children do, which is manifested within this population. It has been previously shown that computer-assisted intervention is not only an effective method for developing various skills, allowing both learning w...

In this paper, we introduce a simple but effective method in order to remove haze in foggy images. We name it as dark pixel detection. Dark pixel is the pixel in haze-free images with values in all of the RGB colour channels close to zero. With this method, we can effectively estimate the thickness of the haze and recover a vivid haze-free scene even when the scene object is inherently similar ...

Controlled amount of jitter injection into high speed serial bit stream is required for SerDes jitter tolerance test. While jitter injection by Direct Time Synthesis can be a much more cost effective method than a combination of several instruments, it is not widely used yet. Considering its high potential in high volume production test cost reduction, we have studied the basics of the jitter i...

Tuned vibration neutralisers and absorbers provide an effective method of attenuating tonal vibration within a structure. If the frequency of the tonal vibration alters, then an adaptive tuned vibration neutraliser or absorber can be utilised to track and adapt to changes in the frequency of the source vibration. This paper provides an overview of some of the issues associated with the developm...

In this paper, we propose new sequential methods for detecting port-scan attackers which routinely perform random “portscans” of IP addresses to find vulnerable servers to compromise. In addition to rigorously control the probability of falsely implicating benign remote hosts as malicious, our method performs significantly faster than other current solutions. Moreover, our method guarantees tha...

A quality evaluation method is an important means and the main basis on which to evaluate the college English classroom teaching quality of teachers. To overcome the one-sided subjectivity and resulting imprecision of the traditional classroom teaching quality evaluation method, a scientific and reasonable quality evaluation index system for college English classroom teaching is constructed. Th...

In direct marketing, customers are usually asked to take a specific action, and their responses are recorded over time and stored in a database. Based on the response data, we can estimate the number of customers who will ultimately respond, the number of responses anticipated to receive by a certain period of time, and the like. The goal of this article is to derive and propose several estimat...

Topological simplification of scalar and vector fields is wellestablished as an effective method for analysing and visualising complex data sets. For multi-field data, topological analysis requires simultaneous advances both mathematically and computationally. We propose a robust multivariate topology simplification method based on “lip”-pruning from the Reeb Space. Mathematically, we show that...

Time series forecasting is an active research area that has drawn considerable attention for applications in a variety of areas. Moving Average is one of widely known technical indicator used to predict the future data in time series analysis. During its' development, many variation and implementation have been made by researchers. One of its' widely used variation is Weighted Moving Average th...