scholarly journals The normal, the natural, and the harmonic

2021 ◽  
Author(s):  
THEODORE MODIS

Use is made of rigorous definitions for the terms normal, natural, and harmonic to reveal a number of unfamiliaraspects about them. The Gaussian distribution is not sufficient to determine who is normal, and fluctuations above or below a natural-growth curve may or may not be natural. A recipe for harmonically sustained natural growthrequires that the overlap during the substitution process must be limited. As a consequence the overall growthprocess must experience good as well as bad "seasons".© 2006 Elsevier Inc. All rights reserved.

2020 ◽  
Author(s):  
JAYDIP DATTA

The mathematical modelling equations are developed to combine the mathematical model for a Pseudo – Gaussian distribution curve – for Growth of Covid19 . The superimposition of Gaussiun curve with Microbial growth curve can be fitted for the resulant model equation considering the sharp Exponential spreading of the Virus .


Author(s):  
K. Izui ◽  
T. Nishida ◽  
S. Furuno ◽  
H. Otsu ◽  
S. Kuwabara

Recently we have observed the structure images of silicon in the (110), (111) and (100) projection respectively, and then examined the optimum defocus and thickness ranges for the formation of such images on the basis of calculations of image contrasts using the n-slice theory. The present paper reports the effects of a chromatic aberration and a slight misorientation on the images, and also presents some applications of structure images of Si, Ge and MoS2 to the radiation damage studies.(1) Effect of a chromatic aberration and slight misorientation: There is an inevitable fluctuation in the amount of defocus due to a chromatic aberration originating from the fluctuations both in the energies of electrons and in the magnetic lens current. The actual image is a results of superposition of those fluctuated images during the exposure time. Assuming the Gaussian distribution for defocus, Δf around the optimum defocus value Δf0, the intensity distribution, I(x,y) in the image formed by this fluctuation is given by


2017 ◽  
Vol 31 (4) ◽  
pp. 447-456 ◽  
Author(s):  
Seema Mutti-Packer ◽  
David C. Hodgins ◽  
Nady el-Guebaly ◽  
David M. Casey ◽  
Shawn R. Currie ◽  
...  

2006 ◽  
Author(s):  
Rosalie J. Hall ◽  
Robert G. Lord ◽  
Hsien-Yao Swee ◽  
Barbara A. Ritter ◽  
David A. DuBois

2019 ◽  
Vol 24 (3) ◽  
pp. 269-290 ◽  
Author(s):  
Hye Won Suk ◽  
Stephen G. West ◽  
Kimberly L. Fine ◽  
Kevin J. Grimm

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