Methods For Quadratic Equations Research Articles

REINFORCED CONCRETE BEAM AND COLUMN PROGRAMMING BASED ON SNI:2847-2019 ON SMARTPHONE USING TEXAS INSTRUMENTS

<p class="Isiabstract">The development of technology in the last few years can not be denied that it has developed very rapidly. In building construction, reinforced concrete beam and columns calculations also utilizing that technology development. Input data used to calculate reinforcement of beam and column are material property, section property and internal forces. Calculation of reinforcement beam using quadratic equation method and reinforcement column using Newton-Raphson method and divided-by-two method.Calculation results are flexural reinforcement As (longitudinal compression area) and As' (longitudinal tension area), shear reinforcement Av (transversal area) and S (distance of Av), torsional reinforcement Avt (transversal area due to torsional and/or shear), S (distance of Avt), Along (longitudinal area due to torsional buckling), column circular reinforcement Atot (total of longitudinal area), column rectangular two faces reinforcement Atot (total of longitudinal area), column rectangular four faces reinforcement Atot (total of longitudinal area), column biaxial reinforcement Atot (total of longitudinal area). The program determines As, As’ and Atotal, the code is written using the Texas Instruments programming language, so that it can be applied to smartphones. Smartphone and manual calculation, for all cases not more than 5%, the calculation using Texas Instrument is accurate.</p>

Enhancement of Forecasting Value with Quadratic Equation Method on Computer Network Performance

Enhancement of Forecasting Value with Quadratic Equation Method on Computer Network Performance

Semilocal convergence of a sixth order iterative method for quadratic equations

In this paper the modification of Chebyshevʼs iterative method constructed in Amat et al. (2008) [1] is revisited. The behavior of this method when considering quadratic nonlinear operators is analyzed. In this case, the iterative method has a competitive behavior due to its computational efficiency. Moreover, a new result of semilocal convergence assuming only a pointwise condition is obtained, improving the result given in Amat et al. (2008) [1]. The domain of uniqueness of the solution is also improved. The new technique used in the proof of these results allows us to achieve all these improvements. Finally, some theoretical and numerical applications for a quadratic system of equations are presented.

High order iterative schemes for quadratic equations

High order iterative methods for quadratic equations are studied. A bi-parametric family that includes some well known iterative schemes is introduced. A unified semilocal convergence theorem is presented. The implementation and some applications to partial differential equations are finally discussed.

X-ray determination of charge transfer in solar grade GaAs

The magnitude and direction of charge transfer in GaAs at various temperatures have been analyzed using our precise and extensive single-crystal X-ray diffraction data. The charge transfer parameters were obtained by employing a quadratic equation method and precise X-ray structure factors collected at 170, 200, 250 and 300 K. A transfer of charge from gallium atom to arsenide atom is evidenced at all the above temperatures.

A modification of Cauchy's method for quadratic equations

The plan of this paper is to obtain one-point iterative methods with any R-order of convergence, when they are applied to approximate solutions of quadratic equations in Banach spaces. To do this, we consider real Cauchy's method and, under certain natural modifications, it is extended to Banach spaces. Some applications are also provided.

An adaptive version of a fourth-order iterative method for quadratic equations

A fourth-order iterative method for quadratic equations is presented. A semilocal convergence theorem is performed. A multiresolution transform corresponding to interpolatory technique is used for fast application of the method. In designing this algorithm we apply data compression to the linear and the bilinear forms that appear on the method. Finally, some numerical results are studied.

A fast Chebyshev’s method for quadratic equations

A multiresolution transform corresponding to interpolatory technique is used for fast application of Chebyshev’s method. In designing this algorithm we apply data compression to the linear and the bilinear forms that appear on the method. A convergence theorem is performed. Finally, some numerical results are presented.

A unified approach to teaching quadratic and cubic equations

A simple method for teaching the algebraic solution of cubic equations is presented. The approach is via ‘completion of the cube’. It is found that this method is readily accepted by students already familiar with completion of the square as a method for quadratic equations. Many people are surprised at how simple the algebraic solution of cubic equations turns out to be. It is not normally necessary to resort to numerical techniques for these equations.

Energy Calibration of X-ray Photoelectron Spectrometers. II. Issues in Peak Location and Comparison of Methods

An analysis is presented of issues involved in peak location for the calibration of the binding energy (BE) scales of x-ray photoelectron spectrometers. These issues include the effects of peak asymmetry, the surface core-level shift, and the avoidance of a sloping background when fitting spectra for energy calibration purposes. Examples of uncertainty budgets for BE measurements are then presented in which illustrative values are shown for the repeatability standard deviation (for repeated BE measurements of the same calibration peak), the expanded uncertainty (at the 95% confidence level) for BE measurements following calibrations based on different numbers of peak measurements, and the tolerance for BE-scale drift and non-linearity for two chosen values (±0.1 and ±0.2 eV) of the total expanded uncertainty for a BE measurement (at the 95% confidence level). It is recommended that a user prepare an uncertainty budget of this type to show clearly the sources of random and systematic error in BE measurements following a calibration. The reference data published by the UK National Physical Laboratory for BE-scale calibration were obtained from fits with a quadratic function to a group of points comprising the top 5% of each peak. Most commercial x-ray photoelectron spectrometers have software available for spectrum synthesis, and we consider here the use of the commonly available Lorentzian, Gaussian, and asymmetric Gaussian functions for peak location. Illustrative fits with Cu 2p3/2 spectra (measured with unmonochromated Al x-rays) showed that comparable accuracy and precision could be obtained with Lorentzian and Gaussian functions as with the quadratic-equation method when different fractions of the peak were fitted. For this asymmetrical line, the asymmetric Gaussian function allowed better accuracy and precision to be obtained with a greater fraction of the line than was possible with the symmetrical functions. © 1997 by John Wiley & Sons, Ltd.

Efficient probabilistic algorithm for solving quadratic equations over finite fields

An efficient probabilistic algorithm for solving quadratic equations over GF(p) (p is odd prime) and GF(2m) is proposed. This algorithm solves the given quadratic equations probabilistically with probability 0-5 in each trial and is more efficient than Rabin's method for quadratic equations over GF(p) and GF(2m).

R−K−R−V potential energy curve, Franck— Condon factors andr-centroids forE 1 Σ +-X 1 Σ + system of SiS molecule

The potential energy curve for theE 1 Σ + state of SiS molecule has been evaluated by the R−K−R−V method. The Franck—Condon factors are computed byFraser andJarmain’s method withr e -shift corrections.r-centroids have been determined by both quadratic equation method and graphical method as suggested byNicholls andJarmain. The intensity distribution in the band system under consideration is explained on the basis of F−C factors. Calculation ofr-centroids shows that the sequence difference i.e. $$\Delta r = \bar r_{v'v''} - \bar r_{v' + 1,v'' + 1} $$ remains constant.

Franck-Condon Factors andr-Centroids for the Triplet Band System of CO Molecule

It has been verified that the Morse potential function is a good approximation for the representation of the potential energy curves of d3π and a3π electronic states of the CO molecule. The Franck-Condon factors for the triplet band system have been computed by the direct method of numerical integration of the Morse wave functions. The r-centroids for this band system have been calculated by (i) the direct method of numerical integration and (ii) the quadratic equation method of Nicholls and Jarmain. A close agreement is obtained between the values of r-centroids evaluated by both the methods. Assuming that the electronic transition moment is approximately constant, the relative population of the vibrational levels of the d3π state of the CO molecule has been calculated using Herman and Rakotoarijimy's experimental data on the relative intensity measurement of the triplet bands developed in the presence of xenon.