In this paper we shall give description about the extraction of a rapidly decaying remainder from Euler series and telescoping series. Then apply procedure to generalised The new positive term obtained with will converge faster than original We also. introduction such better approximation for

In this paper, we propose a new residual analysis method using Fourier series transform into fuzzy time series model for improving the forecasting performance. This hybrid model takes advantage of the high predictable power of fuzzy time series model and Fourier series transform to fit the estimated residuals into frequency spectra, select the low-frequency terms, filter out high-frequency term...

This study was conducted to evaluate the cultural contents and cultural elements represented in Vision (I & II) and Pre-University English (I & II). This study also aimed at determining if there were significant differences between these series in terms of cultural content and cultural element representation. To this end, the two ELT coursebook series were selected and analyzed based on Cortazz...

Let $K$ be a field of characteristic$p>0$, $K[[x]]$, the ring of formal power series over $ K$,$K((x))$, the quotient field of $ K[[x]]$, and $ K(x)$ the fieldof rational functions over $K$. We shall give somecharacterizations of an algebraic function $fin K((x))$ over $K$.Let $L$ be a field of characteristic zero. The power series $finL[[x]]$ is called differentially algebraic, if it satisfies...

thunderstorms are climatical phenomena, which sometimes can cause irreparable damage to the ecology. in this study to identify any trends in the frequency of days with thunderstorms in iran, long-term statistics of 33 synoptic stations, from the beginning until 2005 was used. at first by applying nonparametric man-kendall and sen’s estimator methods on four seasonal time series, and one annua...

Realizing carbon neutral energy generation creates the challenge of accurately predicting time-series data for long-term capacity planning and short-term operational decisions. The key challenges adopting data-driven decision-making, specifically predictive analytics, can be attributed to volume velocity. Data poses storage retrieval. velocity processing near real time decisions or building. Th...