scholarly journals Alternate Entropy Computations by Applying Recurrence Matrix Masking

Entropy ◽  
2021 ◽  
Vol 24 (1) ◽  
pp. 16
Author(s):  
Charles L. Webber
Keyword(s):  
Recurrence Plot ◽  
Logistic Equation ◽  
Periodic Systems ◽  
Wave Pulse ◽  
Long Line ◽  
Dow Jones Industrial Average ◽  
Plot Area ◽  
Triangular Area ◽  
Line Elements ◽  
Good Agreement

In practicality, recurrence analyses of dynamical systems can only process short sections of signals that may be infinitely long. By necessity, the recurrence plot and its quantifications are constrained within a truncated triangle that clips the signals at its borders. Recurrence variables defined within these confining borders can be influenced more or less by truncation effects depending upon the system under evaluation. In this study, the question being asked is what if the boundary borders were tilted, what would be the effect on all recurrence variables? This question was prompted by the observation that line entropy values are maximized for highly periodic systems in which the infinitely long line elements are truncated to different unique lengths. However, by redefining the recurrence plot area to a 45-degree tilted box within the triangular area, the diagonal lines would consequently be truncated to identical lengths. Such masking would minimize the line entropy to 0.000 bits/bin. However, what new truncation influences would be imposed on the other recurrence variables? This question is examined by comparing recurrence variables computed with the triangular recurrence area versus boxed recurrence area. Examples include the logistic equation (mathematical series), the Dow Jones Industrial Average over a decade (real-word data), and a square wave pulse (toy series). Good agreement among the variables in terms of timing and amplitude was found for most, but not all variables. These important results are discussed.

Grey Logistic Model to Predict the Effective Irrigation Area in Liaoning Province

2014 ◽  
Vol 641-642 ◽  
pp. 179-182 ◽  
Author(s):  
Jin Liang Chen
Keyword(s):  
Logistic Model ◽  
Structural Adjustment ◽  
Logistic Equation ◽  
Liaoning Province ◽  
Forecasting Model ◽  
Irrigation Area ◽  
Agricultural Resources ◽  
Upper Limit ◽  
Simulation Results ◽  
Good Agreement

Through grey estimation of the parameters of logistic equation, a grey logistic forecasting model is established. The effective irrigation area in Liaoning Province was simulated by the model. The simulation results had good agreement with the available data, with a correlation of 0.95. The effective irrigation area was predicted to be 1.583 million hectares in 2018, very close to the predicted upper limit of 1.588 million hectares. Thus, there is little potential for the development of the effective irrigation area, rendering the structural adjustment of agricultural resources very necessary.

scholarly journals NONPARAMETRIC ANALYSES OF LOG-PERIODIC PRECURSORS TO FINANCIAL CRASHES

2003 ◽  
Vol 14 (08) ◽  
pp. 1107-1125 ◽  
Author(s):  
WEI-XING ZHOU ◽  
DIDIER SORNETTE
Keyword(s):  
Time Series ◽  
Fourier Transform ◽  
Power Law ◽  
Hilbert Transform ◽  
Strong Evidence ◽  
Unpublished Report ◽  
Dow Jones Industrial Average ◽  
The Hilbert Transform ◽  
Financial Indices ◽  
Good Agreement

We apply two nonparametric methods to further test the hypothesis that log-periodicity characterizes the detrended price trajectory of large financial indices prior to financial crashes or strong corrections. The term "parametric" refers here to the use of the log-periodic power law formula to fit the data; in contrast, "nonparametric" refers to the use of general tools such as Fourier transform, and in the present case the Hilbert transform and the so-called (H, q)-analysis. The analysis using the (H, q)-derivative is applied to seven time series ending with the October 1987 crash, the October 1997 correction and the April 2000 crash of the Dow Jones Industrial Average (DJIA), the Standard & Poor 500 and Nasdaq indices. The Hilbert transform is applied to two detrended price time series in terms of the ln (tc-t) variable, where tcis the time of the crash. Taking all results together, we find strong evidence for a universal fundamental log-frequency f=1.02±0.05 corresponding to the scaling ratio λ=2.67±0.12. These values are in very good agreement with those obtained in earlier works with different parametric techniques. This note is extracted from a long unpublished report with 58 figures available at , which extensively describes the evidence we have accumulated on these seven time series, in particular by presenting all relevant details so that the reader can judge for himself or herself the validity and robustness of the results.

scholarly journals Compact Microstrip Lowpass Filter with Low Insertion Loss for UWB Medical Applications

2018 ◽  
Vol 2018 ◽  
pp. 1-5 ◽  
Author(s):  
Mohammed A. Aseeri ◽  
Meshaal A. Alyahya ◽  
Hatim A. Bukhari ◽  
Hussein N. Shaman
Keyword(s):  
Insertion Loss ◽  
Elliptic Function ◽  
Ultra Wideband ◽  
Medical Applications ◽  
Lowpass Filter ◽  
Attenuation Level ◽  
Low Insertion Loss ◽  
Line Elements ◽  
Good Agreement ◽  
Rejection Band

A microstrip lowpass filter based on transmission line elements for UWB medical applications is proposed in this paper. The filter is constructed of two symmetric shunt open-circuited stubs and three series unit elements. The filter is designed to exhibit an elliptic function response with equal ripple in the passband and the rejection band. A prototype is successfully designed, fabricated, and measured, where a good agreement is attained. The filter shows a high filtering selectivity and an ultra-wide stopband up to 20 GHz with an attenuation level of more than 20-dB. The filter is compact and has a low insertion loss and an ultra-wideband (UWB) rejection which makes it attractive for many technologies such as UWB medical applications.

Mechanical properties of pleural membrane

1984 ◽  
Vol 57 (4) ◽  
pp. 1189-1194 ◽  
Author(s):  
D. Stamenovic
Keyword(s):  
Energy Function ◽  
Strain Energy ◽  
Large Deformations ◽  
Strain Energy Function ◽  
Shear Forces ◽  
Stress Strain ◽  
Oriented Line ◽  
Strain Equation ◽  
Line Elements ◽  
Good Agreement

The pleural membrane is modeled as a planar collection of interconnected randomly oriented line elements. By assuming that the line elements follow the strain field of a continuum, a strain-energy function is formulated. From the strain-energy function, an explicit stress-strain equation for large deformations is derived. In the linear approximation of the stress-strain equation the shear modulus and the area modulus of the membrane are respectively found to be 2.4 and 2.8 times the tension at the reference state. The stress-strain equation for large deformations is used to predict the displacement field around a circular hole in pleura. Good agreement is found between these predictions and measurements made on ablated pleura from dog lungs. From these theoretical and experimental results the conclusion is drawn that the pleura has a significant role in carrying shear forces and maintaining the lung's shape.

scholarly journals Growth kinetic parameters and biosynthesis of polyhydroxybutyrate in Cupriavidus necator DSMZ 545 on selected substrates

2011 ◽  
Vol 17 (1) ◽  
pp. 1-8 ◽  
Author(s):  
Sharifzadeh Baei ◽  
G.D. Najafpour ◽  
H. Younesi ◽  
F. Tabandeh ◽  
H. Issazadeh ◽  
...  
Keyword(s):  
Specific Growth ◽  
Carbon Sources ◽  
Logistic Equation ◽  
Cupriavidus Necator ◽  
Rate Model ◽  
Adequate Description ◽  
Predicted Values ◽  
Specific Growth Rates ◽  
Good Agreement ◽  
Burk Plot

Kinetic model for Cupriavidus necator in batch culture using glucose, fructose and molasses as carbon sources was obtained. The experimental data was also fitted with the modified logistic equation that can provide adequate description for PHB synthesized by C. necator. The lineweaver-Burk plot defined biokinetic coefficients which were described by a simplified Monod?s rate model. The specific growth rates, ?max and the Monod constants, Ks, for various substrates such as glucose, fructose and molasses were 0.18, 1.25, 0.42 h-1 and 107.53, 30.342, 188.16 g/l, respectively. The kinetic constants were evaluated on the basis of non-linear regression were solved using MATLAB software. A good agreement was found between the experimental and the predicted values, which indicated that the model with differential equations would describe fermentation process for the PHB formation.

scholarly journals SOLUSI HAMPIRAN PERSAMAAN LOGISTIK NON-AUTONOMOUS

2019 ◽  
Vol 5 (1) ◽  
pp. 63
Author(s):  
Mohamad Riyadi ◽  
Daswa Daswa
Keyword(s):  
Exact Solution ◽  
Carrying Capacity ◽  
Logistic Equation ◽  
Small Step ◽  
Step Size ◽  
Approximation Solution ◽  
Small Step Size ◽  
Predictor Corrector ◽  
Good Agreement

The aim of this study is to derive the approximation solution of the non-autonomous logistic equation with a non-constant carrying capacity. The solution is found via predictor-corrector method (Adams-Bashforth-Moulton method, Milne method and Hamming method). The approximation solution that obtained, then, is compared to the exact solution. The results show that, for small step size, the approximation solution approximate the exact solution is in good agreement.

Oscillator Strength Measurements in the Vacuum-Ultraviolet by the Emission Method

1988 ◽  
Vol 102 ◽  
pp. 353-356
Author(s):  
C. Goldbach ◽  
G. Nollez
Keyword(s):  
Oscillator Strength ◽  
Vacuum Ultraviolet ◽  
Oscillator Strengths ◽  
Emission Method ◽  
Absolute Scale ◽  
Good Agreement

AbstractThe principles and the realization of an experiment devoted to oscillator strength measurements in the vacuum-ultraviolet by the emission method are briefly presented. The results obtained for the strong multiplets of neutral nitrogen and carbon in the 1200-2000 Å range yield an absolute scale of oscillator strengths in good agreement with the most recent calculations.

A High Voltage Electron Microscopy Study of Sub-Oxide Formation in Vanadium

1971 ◽  
Vol 29 ◽  
pp. 212-213
Author(s):  
R. H. Geiss ◽  
R. L. Ladd ◽  
K. R. Lawless
Keyword(s):  
High Vacuum ◽  
Microscopy Study ◽  
Electron Microscopy Study ◽  
Ultra High Vacuum ◽  
Pure Oxygen ◽  
Pressure Oxidation ◽  
High Voltage Electron Microscopy ◽  
Oxidation Study ◽  
Voltage Electron ◽  
Good Agreement

Detailed electron microscope and diffraction studies of the sub-oxides of vanadium have been reported by Cambini and co-workers, and an oxidation study, possibly complicated by carbon and/or nitrogen, has been published by Edington and Smallman. The results reported by these different authors are not in good agreement. For this study, high purity polycrystalline vanadium samples were electrochemically thinned in a dual jet polisher using a solution of 20% H2SO4, 80% CH3OH, and then oxidized in an ion-pumped ultra-high vacuum reactor system using spectroscopically pure oxygen. Samples were oxidized at 350°C and 100μ oxygen pressure for periods of 30,60,90 and 160 minutes. Since our primary interest is in the mechanism of the low pressure oxidation process, the oxidized samples were cooled rapidly and not homogenized. The specimens were then examined in the HVEM at voltages up to 500 kV, the higher voltages being necessary to examine thick sections for which the oxidation behavior was more characteristic of the bulk.

Diagnostic Value of Electron Microscopy in Soft Tissue Tumors

1970 ◽  
Vol 28 ◽  
pp. 220-221
Author(s):  
Gerald Fine ◽  
Azorides R. Morales
Keyword(s):  
Cardiac Myxoma ◽  
Osteogenic Sarcoma ◽  
Diagnostic Value ◽  
Soft Tissue Tumors ◽  
Amelanotic Melanoma ◽  
Growth Patterns ◽  
Light Microscopic Level ◽  
Mesenchymal Tumors ◽  
Good Agreement

For years the separation of carcinoma and sarcoma and the subclassification of sarcomas has been based on the appearance of the tumor cells and their microscopic growth pattern and information derived from certain histochemical and special stains. Although this method of study has produced good agreement among pathologists in the separation of carcinoma from sarcoma, it has given less uniform results in the subclassification of sarcomas. There remain examples of neoplasms of different histogenesis, the classification of which is questionable because of similar cytologic and growth patterns at the light microscopic level; i.e. amelanotic melanoma versus carcinoma and occasionally sarcoma, sarcomas with an epithelial pattern of growth simulating carcinoma, histologically similar mesenchymal tumors of different histogenesis (histiocytoma versus rhabdomyosarcoma, lytic osteogenic sarcoma versus rhabdomyosarcoma), and myxomatous mesenchymal tumors of diverse histogenesis (myxoid rhabdo and liposarcomas, cardiac myxoma, myxoid neurofibroma, etc.)

Dislocation structures around SiO2 Particles in aged Cu-Cr-SiO2

1978 ◽  
Vol 36 (1) ◽  
pp. 594-595
Author(s):  
N.J. Long ◽  
M.H. Loretto ◽  
C.H. Lloyd
Keyword(s):  
Flow Stress ◽  
Single Crystals ◽  
Room Temperature ◽  
Thin Foil ◽  
Age Hardening ◽  
Dispersion Strengthening ◽  
Accurate Picture ◽  
The Matrix ◽  
Very High ◽  
Good Agreement

IntroductionThere have been several t.e.m. studies (1,2,3,4) of the dislocation arrangements in the matrix and around the particles in dispersion strengthened single crystals deformed in single slip. Good agreement has been obtained in general between the observed structures and the various theories for the flow stress and work hardening of this class of alloy. There has been though some difficulty in obtaining an accurate picture of these arrangements in the case when the obstacles are large (of the order of several 1000's Å). This is due to both the physical loss of dislocations from the thin foil in its preparation and to rearrangement of the structure on unloading and standing at room temperature under the influence of the very high localised stresses in the vicinity of the particles (2,3).This contribution presents part of a study of the Cu-Cr-SiO2 system where age hardening from the Cu-Cr and dispersion strengthening from Cu-Sio2 is combined.

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