Comparison of Faddeev Method and Resonating Group Method above Breakup Threshold

1975 ◽  
Vol 30 (3) ◽  
pp. 271-273 ◽  
Author(s):  
F. Söhre ◽  
E. W. Schmid
Keyword(s):  
Phase Shift ◽  
Least Squares ◽  
Least Squares Method ◽  
Group Method ◽  
Breakup Threshold ◽  
The Real ◽  
Yamaguchi Potential ◽  
Three Body

Abstract The reliability of the resonating group method is studied above the three-body breakup threshold. In particular, the real part of the elastic n-d phase shift is calculated in a model of three spinless bosons interacting by a separable Yamaguchi potential for which exact Faddeev results are available. Spurious singularities which are caused by the distortion part of the resonating group ansatz are eliminated by a least squares method.

Forecast and Control for the Amount of Rural Economic Crops

2014 ◽  
Vol 687-691 ◽  
pp. 4857-4860
Author(s):  
Wen Xi Duan
Keyword(s):  
Least Squares ◽  
Linear Function ◽  
Statistical Methods ◽  
Historical Data ◽  
Least Squares Method ◽  
The Real ◽  
Straight Line ◽  
Line Equation ◽  
And Control

The planting amount is determined by farmers according to the profit of planting economic crops. Moreover, the planting profit is estimated by using the statistical methods. The relation between the planting amount and the profit is similar to a linear function. However, the straight line equation has been set by using the historical data, calculating the slope of the straight line or adopting the least squares method. Therefore, the planting amount in next year will be calculated based on the equation. In a word, the planting amount in next year will be adjusted and controlled on the basis of the calculated planting amount and the real demand in the market.

scholarly journals Environmental Influences on Gravimetric Earth Tides Observations

2007 ◽  
Vol 42 (1) ◽  
pp. 41-57 ◽  
Author(s):  
J. Bogusz
Keyword(s):  
Soil Moisture ◽  
Phase Shift ◽  
Least Squares ◽  
Indirect Effect ◽  
Least Squares Method ◽  
Environmental Influences ◽  
Earth Tides ◽  
Data Series ◽  
Single Observation ◽  
Atmospheric Data

Environmental Influences on Gravimetric Earth Tides Observations The following article presents the results of the adjustment (by means of the classical least squares method) of 3-year series of gravimetric Earth tides observations recorded in Observatory at Jozefoslaw (Józefosław - Poland) using LaCoste&Romberg model ET-26 gravimeter. The set of atmospheric data (pressure, temperature and humidity) has been taken into account in the analysis. Several models of ocean's tides were compared to find out how large the indirect effect in Jozefoslaw is. Hydrological observations were made parallel to the gravity storage (soil moisture, water table changes, and rainfalls) to specify its influence to the gravity. Joint adjustment allowed us to determine reliable and precise model of gravimetric Earth tides for Jozefoslaw, which is an indispensable element for every geodynamical observatory. From 3-year data series we were able to obtain parameters (amplitude factor and phase shift) for 31 tidal components. The accuracy of single observation after adjustment (4.2 nm/s^2) and the drift (-4.5 nm/s^2 per month) are acceptable for this type of equipment. It is worth indicating that these observations are one of the most accurate that have ever been carried out in Poland.

‘Least squares’ method—theorem or law?

1980 ◽  
Vol 59 (9) ◽  
pp. 8
Author(s):  
D.E. Turnbull
Keyword(s):  
Least Squares ◽  
Least Squares Method

An Augmented Iteratively Re-weighted and Refined Least Squares Method for lp Minimization Problem in Inverse Modeling of Potential Field Magnetic Data

2020 ◽  
Vol 1 (3) ◽  
Author(s):  
Maysam Abedi
Keyword(s):  
Magnetic Field ◽  
Magnetic Susceptibility ◽  
Least Squares ◽  
Minimization Problem ◽  
Potential Field ◽  
Field Data ◽  
Least Squares Method ◽  
Porphyry Copper ◽  
Magnetic Data ◽  
Magnetic Field Data

The presented work examines application of an Augmented Iteratively Re-weighted and Refined Least Squares method (AIRRLS) to construct a 3D magnetic susceptibility property from potential field magnetic anomalies. This algorithm replaces an lp minimization problem by a sequence of weighted linear systems in which the retrieved magnetic susceptibility model is successively converged to an optimum solution, while the regularization parameter is the stopping iteration numbers. To avoid the natural tendency of causative magnetic sources to concentrate at shallow depth, a prior depth weighting function is incorporated in the original formulation of the objective function. The speed of lp minimization problem is increased by inserting a pre-conditioner conjugate gradient method (PCCG) to solve the central system of equation in cases of large scale magnetic field data. It is assumed that there is no remanent magnetization since this study focuses on inversion of a geological structure with low magnetic susceptibility property. The method is applied on a multi-source noise-corrupted synthetic magnetic field data to demonstrate its suitability for 3D inversion, and then is applied to a real data pertaining to a geologically plausible porphyry copper unit.  The real case study located in  Semnan province of  Iran  consists  of  an arc-shaped  porphyry  andesite  covered  by  sedimentary  units  which  may  have  potential  of  mineral  occurrences, especially  porphyry copper. It is demonstrated that such structure extends down at depth, and consequently exploratory drilling is highly recommended for acquiring more pieces of information about its potential for ore-bearing mineralization.

Theoretical accuracy of the last squares method in the isotope dilution analysis

1984 ◽  
Vol 49 (4) ◽  
pp. 805-820
Author(s):  
Ján Klas
Keyword(s):  
Least Squares ◽  
Isotope Dilution ◽  
Least Squares Method ◽  
Isotope Dilution Analysis ◽  
Straight Line ◽  
The One ◽  
Two Parameter ◽  
Theoretical Accuracy

The accuracy of the least squares method in the isotope dilution analysis is studied using two models, viz a model of a two-parameter straight line and a model of a one-parameter straight line.The equations for the direct and the inverse isotope dilution methods are transformed into linear coordinates, and the intercept and slope of the two-parameter straight line and the slope of the one-parameter straight line are evaluated and treated.

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