Numerical transformation methods: Blasius problem and its variants

The methods of chemical structural alteration of small organic molecules by using microbes (fungi, bacteria, yeast, etc.) are gaining tremendous attention to obtain structurally novel and therapeutically potential leads. The regiospecific mild environmental friendly reaction conditions with the ability of novel chemical structural modification in compounds categorize this technique; a distinguished and unique way to obtain medicinally important drugs and their in vivo mimic metabolites with costeffective and timely manner. This review article shortly addresses the immense pharmaceutical importance of microbial transformation methods in drug designing and development as well as the role of CYP450 enzymes in fungi to obtain in vivo drug metabolites for toxicological studies.

Download Full-text

Transformation methods for a fast analysis of reflection effects on printed circuit boards

3rd International Conference on Computation in Electromagnetics (CEM 96) ◽

10.1049/cp:19960162 ◽

1996 ◽

Author(s):

J. Muller

Keyword(s):

Printed Circuit Boards ◽

Circuit Boards ◽

Fast Analysis ◽

Printed Circuit ◽

Transformation Methods

Download Full-text

POLARON IN A QUANTUM DOT UNDER AN ELECTRIC FIELD

Modern Physics Letters B ◽

10.1142/s0217984907014012 ◽

2007 ◽

Vol 21 (24) ◽

pp. 1635-1642

Author(s):

MIAN LIU ◽

WENDONG MA ◽

ZIJUN LI

Keyword(s):

Quantum Dot ◽

Electric Field ◽

Field Intensity ◽

Ground State Energy ◽

Ground State ◽

Electric Field Intensity ◽

State Energy ◽

Theoretical Study ◽

The Moment ◽

Transformation Methods

We conducted a theoretical study on the properties of a polaron with electron-LO phonon strong-coupling in a cylindrical quantum dot under an electric field using linear combination operator and unitary transformation methods. The changing relations between the ground state energy of the polaron in the quantum dot and the electric field intensity, restricted intensity, and cylindrical height were derived. The numerical results show that the polar of the quantum dot is enlarged with increasing restricted intensity and decreasing cylindrical height, and with cylindrical height at 0 ~ 5 nm , the polar of the quantum dot is strongest. The ground state energy decreases with increasing electric field intensity, and at the moment of just adding electric field, quantum polarization is strongest.

Download Full-text

Interconversion of Plasma Free Thyroxine Values from Assay Platforms with Different Reference Intervals Using Linear Transformation Methods

Biology ◽

10.3390/biology10010045 ◽

2021 ◽

Vol 10 (1) ◽

pp. 45

Author(s):

Fanwen Meng ◽

Jacqueline Jonklaas ◽

Melvin Khee-Shing Leow

Keyword(s):

Linear Transformation ◽

Piecewise Linear ◽

Equilibrium Dialysis ◽

Accurate Method ◽

Reference Intervals ◽

Thyroid Stimulating Hormone ◽

Free Thyroxine ◽

Thyroid Function Tests ◽

Linear Transformations ◽

Transformation Methods

Clinicians often encounter thyroid function tests (TFT) comprising serum/plasma free thyroxine (FT4) and thyroid stimulating hormone (TSH) measured using different assay platforms during the course of follow-up evaluations which complicates reliable comparison and interpretation of TFT changes. Although interconversion between concentration units is straightforward, the validity of interconversion of FT4/TSH values from one assay platform to another with different reference intervals remains questionable. This study aims to establish an accurate and reliable methodology of interconverting FT4 by any laboratory to an equivalent FT4 value scaled to a reference range of interest via linear transformation methods. As a proof-of-concept, FT4 was simultaneously assayed by direct analog immunoassay, tandem mass spectrometry and equilibrium dialysis. Both linear and piecewise linear transformations proved relatively accurate for FT4 inter-scale conversion. Linear transformation performs better when FT4 are converted from a more accurate to a less accurate assay platform. The converse is true, whereby piecewise linear transformation is superior to linear transformation when converting values from a less accurate method to a more robust assay platform. Such transformations can potentially apply to other biochemical analytes scale conversions, including TSH. This aids interpretation of TFT trends while monitoring the treatment of patients with thyroid disorders.

Download Full-text

A new method for identifying the role of marital preferences at shaping marriage patterns

Journal of Demographic Economics ◽

10.1017/dem.2021.1 ◽

2021 ◽

pp. 1-27

Author(s):

Anna Naszodi ◽

Francisco Mendonca

Keyword(s):

Contingency Table ◽

Transformation Method ◽

New Method ◽

Marriage Patterns ◽

The Us ◽

Analytical Properties ◽

The Matrix ◽

Transformation Methods

Abstract We develop a method which assumes that marital preferences are characterized either by the scalar-valued measure proposed by Liu and Lu, or by the matrix-valued generalized Liu–Lu measure. The new method transforms an observed contingency table into a counterfactual table while preserving its (generalized) Liu–Lu value. After exploring some analytical properties of the new method, we illustrate its application by decomposing changes in the prevalence of homogamy in the US between 1980 and 2010. We perform this decomposition with two alternative transformation methods as well where both methods capture preferences differently from Liu and Lu. Finally, we use survey evidence to support our claim that out of the three considered methods, the new transformation method is the most suitable for identifying the role of marital preferences at shaping marriage patterns. These data are also in favor of measuring assortativity in preferences à la Liu and Lu.

Download Full-text

Enhancing Wind Turbine Power Forecast via Convolutional Neural Network

Electronics ◽

10.3390/electronics10030261 ◽

2021 ◽

Vol 10 (3) ◽

pp. 261

Author(s):

Tianyang Liu ◽

Zunkai Huang ◽

Li Tian ◽

Yongxin Zhu ◽

Hui Wang ◽

...

Keyword(s):

Time Series ◽

Wind Speed ◽

Wind Turbine ◽

Wind Power ◽

Rapid Development ◽

Superior Performance ◽

Learning Platform ◽

Novel Approach ◽

Wind Power Forecast ◽

Transformation Methods

The rapid development in wind power comes with new technical challenges. Reliable and accurate wind power forecast is of considerable significance to the electricity system’s daily dispatching and production. Traditional forecast methods usually utilize wind speed and turbine parameters as the model inputs. However, they are not sufficient to account for complex weather variability and the various wind turbine features in the real world. Inspired by the excellent performance of convolutional neural networks (CNN) in computer vision, we propose a novel approach to predicting short-term wind power by converting time series into images and exploit a CNN to analyze them. In our approach, we first propose two transformation methods to map wind speed and precipitation data time series into image matrices. After integrating multi-dimensional information and extracting features, we design a novel CNN framework to forecast 24-h wind turbine power. Our method is implemented on the Keras deep learning platform and tested on 10 sets of 3-year wind turbine data from Hangzhou, China. The superior performance of the proposed method is demonstrated through comparisons using state-of-the-art techniques in wind turbine power forecasting.

Download Full-text

Random numbers from the tails of probability distributions using the transformation method

Fractional Calculus and Applied Analysis ◽

10.2478/s13540-013-0021-z ◽

2013 ◽

Vol 16 (2) ◽

Cited By ~ 1

Author(s):

Daniel Fulger ◽

Enrico Scalas ◽

Guido Germano

Keyword(s):

Probability Distributions ◽

Transformation Method ◽

Fractional Diffusion ◽

Random Numbers ◽

Stochastic Solution ◽

Probability Densities ◽

Speed Up ◽

Time Fractional Diffusion Equation ◽

Transformation Methods ◽

Very High

AbstractThe speed of many one-line transformation methods for the production of, for example, Lévy alpha-stable random numbers, which generalize Gaussian ones, and Mittag-Leffler random numbers, which generalize exponential ones, is very high and satisfactory for most purposes. However, fast rejection techniques like the ziggurat by Marsaglia and Tsang promise a significant speed-up for the class of decreasing probability densities, if it is possible to complement them with a method that samples the tails of the infinite support. This requires the fast generation of random numbers greater or smaller than a certain value. We present a method to achieve this, and also to generate random numbers within any arbitrary interval. We demonstrate the method showing the properties of the transformation maps of the above mentioned distributions as examples of stable and geometric stable random numbers used for the stochastic solution of the space-time fractional diffusion equation.

Download Full-text

Review of Environmental and Geological Microgravity Applications and Feasibility of Its Employment at Archaeological Sites in Israel

International Journal of Geophysics ◽

10.1155/2011/927080 ◽

2011 ◽

Vol 2011 ◽

pp. 1-9 ◽

Cited By ~ 10

Author(s):

Lev V. Eppelbaum

Keyword(s):

Gravity Anomalies ◽

Gravity Potential ◽

Archaeological Sites ◽

Useful Signal ◽

Geometric Size ◽

Archaeological Models ◽

Vertical Gravity ◽

Transformation Methods ◽

Derivatives Of ◽

Archaeological Objects

Microgravity investigations are widely applied at present for solving various environmental and geological problems. Unfortunately, microgravity survey is comparatively rarely used for searching for hidden ancient targets. It is caused mainly by small geometric size of the desired archaeological objects and various types of noise complicating the observed useful signal. At the same time, development of modern generation of field gravimetric equipment allows to register promptly and digitally microGal (10-8 m/s2) anomalies that offer a new challenge in this direction. An advanced methodology of gravity anomalies analysis and modern 3D modeling, intended for ancient targets delineation, is briefly presented. It is supposed to apply in archaeological microgravity the developed original methods for the surrounding terrain relief computing. Calculating second and third derivatives of gravity potential are useful for revealing some closed peculiarities of the different Physical-Archaeological Models (PAMs). It is underlined that physical measurement of vertical gravity derivatives in archaeological studying has a significant importance and cannot be replaced by any transformation methods. Archaeological targets in Israel have been ranged by their density/geometrical characteristics in several groups. The performed model computations indicate that microgravity investigations might be successfully applied at least in 20–25% of archaeological sites in Israel.

Download Full-text