1565. Use of the Fractional Method in Long Multiplication of Money

1941 ◽  
Vol 25 (267) ◽  
pp. 316
Author(s):  
R. S. Williamson
Keyword(s):  
1918 ◽  
Vol 27 (4) ◽  
pp. 487-501 ◽  
Author(s):  
Alfred E. Cohn ◽  
Christen Lundsgaard

The function of the arteries as an elastic reservoir between the heart and the capillaries is reviewed. The appropriateness of selecting the exit from this reservoir as the point for estimating its effective pressure is shown. The technique for taking the pressure here by the method of Gaertner is described and its advantage and certain apparent disadvantages are indicated. The technique of Gaertner is shown to be especially applicable to the study of the blood pressure in fibrillation of the auricles. The use of this technique has brought out a defect in the so called fractional method of taking the pressure in this condition; the brachial and digital curves cross. Taking pressure of both brachial and digital arteries has shown that certain different types exist; first, that in which both central and peripheral pressures are stable; second, that in which the more central pressure is stable and the peripheral pressure fluctuates; and third, that in which both pressures fluctuate together.


Author(s):  
Zhu Fanglong ◽  
Feng Qianqian ◽  
Liu Rangtong ◽  
Li Kejing ◽  
Zhou Yu

Purpose – The purpose of this paper is to employ a fractional approach to predict the permeability of nonwoven fabrics by simulating diffusion process. Design/methodology/approach – The method described here follows a similar approach to anomalous diffusion process. The relationship between viscous hydraulic permeability and electrical conductivity of porous material is applied in the derivation of fractional power law of permeability. Findings – The presented power law predicted by fractional method is validated by the results obtained from simulation of fluid flow around a 3D nonwoven porous material by using the lattice-Boltzmann approach. A relation between the fluid permeability and the fluid content (filling fraction), namely, following the power law of the form, was derived via a scaling argument. The exponent n is predominantly a function of pore-size distribution dimension and random walk dimension of the fluid. Originality/value – The fractional scheme by simulating diffusion process presented in this paper is a new method to predict wicking fluid flow through nonwoven fabrics. The forecast approach can be applied to the prediction of the permeability of other porous materials.


1916 ◽  
Vol 9 (8) ◽  
pp. 683-684
Author(s):  
Douglas VanderHoof

2020 ◽  
Vol 2 (2) ◽  
pp. 121-126
Author(s):  
Fatin Nabila Abd Latiff ◽  
Wan Ainun Mior Othman

The purpose is to present a method for synchronizing a recurrent neural networks system between integer and fractional-order order delay by active sliding mode control . The Active Sliding Mode Control (ASMC) scheme is used to solve the synchronization problem between the integer-order delayed recurrent neural networks system via active sliding mode control (IoDRNNASM) systems and the fractional-order delay recurrent neural networks system via active sliding mode control (FoDRNNASM) system based on the Lyapunov direct fractional method (LDFM). To explore the behavior of the IoDRNNASM systems and the FoDRNNASM systems, we performed the technique of numerical simulations using MATLAB software to prove the feasibility and strength of the archived outcomes. This concept can also be enhanced with the implementation of double encryption using RSA encryption to secure communication. Because we expected in the future that this enhanced concept will strengthen and increase the network security capabilities that will provide powerful protection in secure communications.


2019 ◽  
Vol 2 (1) ◽  
pp. 23
Author(s):  
Angbonon E. Kamalan

<p><em>This article attempts a search for economic, sociological and even psychological answers about the foundations of individual’s prosocial behavior with a focus on economic incentives and social norms. First, we present an evidence-based approach of individual’s prosocial behavior using the justification and the economies of worth of Boltanski and Thevenot (2006). After that, we analyze a prosocial behavior applied to the process of maturity repayment of individual loans. We propose two different methods to check the theoretical propositions: logit and probit method in one hand and fractional method of Papke and Wooldridge (1996) in other hand. The logit and probit method are estimated in the aim of better understanding of the influencing factors of the maturity repayment behavior of borrowers. Estimation of fractional method helps to learn about the probability of delinquency in loan repayment. The results attest the theoretical propositions.</em></p>


1926 ◽  
Vol 22 (5-6) ◽  
pp. 739
Author(s):  
A. Mirkin

In order to study the objective changes with the obtained good sub'jective results after treatment with Novoprotin for gastric and duodenal ulcers, Rothschild (Klin. Woch., 1926, No. 3) applied his fractional method for the study of gastric contents.


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