Angular Distribution Studies for 65Zn Nuclei from 63Cu (α, pnγ) Reaction Using Constant Statistical Tensor, Least Square Fitting and σ/J Methods

Multiple mixing ratios (δ-values) have been calculated for high-spin states excited in 29𝐶𝑢 63 (α,pnγ) 𝑍𝑛 30 65 in present work using constant statistical tensor (CST), least square fitting (LSF) and σ/J methods together with experimental values reported for such γ-transition the good agreement for (δ-values) calculated in these three methods confirms its validity to calculate the (δ-values) for γ-transition.

Dependence of inter-electrode gap separation on the Positive and Negative Pin-Grid Plasma Corona Discharge

In this work, both positive and negative corona discharge of pin-grid geometrical configuration was studied and the necessary modification of the general law of corona discharge was proposed. The current-voltage measurements were performed at room temperature and at different inter electrode separations. The variation of dimensional constant K and corona inception voltage Vo with pin-grid separations S were subjected into the general law of corona discharge using the least square fitting method in Log-Log scale. The relationship between corona current and different voltage (V-Vo) was investigated to find the acceptable value of exponent n. The least square fitting for all variations of corona parameters was based on the highest R-square value of obtained straight lines for individual measurements. It was found that value of exponent n for both polarities is larger compared to the empirical formula proposed previously for the general law of corona discharge.

Piecewise Curve Fitting Based on Least Square Method in 3D Space

Least squares curve fitting is widely used in various neighborhoods, such as industry, agriculture, and economy. The method of piecewise curve fitting is used to deal with some experimental studies with large amounts of data. It can not only be used for plane space points, but also for three-dimensional space points. Firstly, this article introduces the principles of curve fitting and least squares. Secondly, it clarifies the steps based on least square fitting and gives examples of improvements made based on the principle of least square fitting functions by some scientists. Finally, the piecewise curve fitting in the three-dimensional space is obtained using the least squares piecewise curve fitting. It lays a certain theoretical foundation for drawing the laws between data in three-dimensional space.