scholarly journals Can fitting of accelerated TDDB with a simple function of E predict the dielectric degradation under operating voltages?.

2020 ◽  
Author(s):  
Gad Haase
Keyword(s):  
Simple Function ◽  
Dielectric Degradation

PHYSICAL PROPERTIES OF ALKYL PYRROLES AND THEIR SALTS

1959 ◽  
Vol 37 (11) ◽  
pp. 1859-1869 ◽  
Author(s):  
R. J. Abraham ◽  
E. Bullock ◽  
S. S. Mitra
Keyword(s):  
Hydrochloric Acid ◽  
Physical Properties ◽  
Simple Function ◽  
Proton Resonance ◽  
Ultraviolet Spectra ◽  
Buffer Solutions

The structures of the ions formed by several alkyl pyrroles in hydrochloric acid are deduced from proton resonance spectra. Basicity values for three alkyl pyrroles are determined from ultraviolet spectra of their salts in buffer solutions. An attempt is made to estimate the basicity of other pyrroles from the variation of the—OD stretching frequency of methanol-d in solution in the pyrroles. Variations of the free and bonded NH frequencies of alkyl pyrroles are shown to be a simple function of the positions and number of the substituents.

Correlation between stress-induced leakage current and dielectric degradation in ultra-porous SiOCH low-k materials

2015 ◽  
Vol 118 (16) ◽  
pp. 164101 ◽  
Author(s):  
Y. Li ◽  
A. Leśniewska ◽  
O. Varela Pedreira ◽  
J.-F. de Marneffe ◽  
I. Ciofi ◽  
...  
Keyword(s):  
Leakage Current ◽  
Stress Induced Leakage Current ◽  
Low K ◽  
Dielectric Degradation

On the Smoothing of Observed Data

1937 ◽  
Vol 33 (4) ◽  
pp. 444-450 ◽  
Author(s):  
Harold Jeffreys
Keyword(s):  
Standard Error ◽  
Random Error ◽  
Simple Function ◽  
Standard Errors ◽  
Random Errors ◽  
Previous Theory ◽  
Know How ◽  
True Value ◽  
Actual Error ◽  
Range Of Variation

1. It often happens that we have a series of observed data for different values of the argument and with known standard errors, and wish to remove the random errors as far as possible before interpolation. In many cases previous considerations suggest a form for the true value of the function; then the best method is to determine the adjustable parameters in this function by least squares. If the number required is not initially known, as for a polynomial where we do not know how many terms to retain, the number can be determined by finding out at what stage the introduction of a new parameter is not supported by the observations*. In many other cases, again, existing theory does not suggest a form for the solution, but the observations themselves suggest one when the departures from some simple function are found to be much less than the whole range of variation and to be consistent with the standard errors. The same method can then be used. There are, however, further cases where no simple function is suggested either by previous theory or by the data themselves. Even in these the presence of errors in the data is expected. If ε is the actual error of any observed value and σ the standard error, the expectation of Σε2/σ2 is equal to the number of observed values. Part, at least, of any irregularity in the data, such as is revealed by the divided differences, can therefore be attributed to random error, and we are entitled to try to reduce it.

Study on Failure of Rock Mass around Deep Tunnel

2011 ◽  
Vol 99-100 ◽  
pp. 370-374 ◽  
Author(s):  
Yue Hong Qian ◽  
Ting Ting Cheng ◽  
Xiang Ming Cao ◽  
Chun Ming Song
Keyword(s):  
Rock Mass ◽  
Stress Field ◽  
Failure Modes ◽  
Shear Failure ◽  
Simple Function ◽  
Tensile Failure ◽  
Deep Tunnel ◽  
Main Mode

During excavating the problem of unloading is a dynamic one essentially. Assuming the unloading ruled by a simple function and based on the Hamilton principal, the distribution of the stress field nearby the tunnel is obtained. The characteristics of the failure nearby the tunnel are analyzed considering the shear failure and tensile failure. The results show that the main mode of the shear failure, intact and tensile failure occurs from the tunnel. The characteristic of the shear failure, intact and tensile failure are one of the likely failure modes.

Ultra-Low-K dielectric degradation before breakdown

2010 ◽  
Author(s):  
T. Breuer ◽  
U. Kerst ◽  
C. Boit ◽  
E. Langer ◽  
H. Ruelke
Keyword(s):  
Low K ◽  
Dielectric Degradation

scholarly journals A cladistic measure of gene flow inferred from the phylogenies of alleles.

Genetics ◽  
1989 ◽  
Vol 123 (3) ◽  
pp. 603-613 ◽  
Author(s):  
M Slatkin ◽  
W P Maddison
Keyword(s):  
Mitochondrial Dna ◽  
Gene Flow ◽  
Migration Rate ◽  
Local Population ◽  
Geographic Location ◽  
Island Model ◽  
Simple Function ◽  
Average Level ◽  
Minimum Number ◽  
Parsimony Criterion

Abstract A method for estimating the average level of gene flow among populations is introduced. The method provides an estimate of Nm, where N is the size of each local population in an island model and m is the migration rate. This method depends on knowing the phylogeny of the nonrecombining segments of DNA that are sampled. Given the phylogeny, the geographic location from which each sample is drawn is treated as multistate character with one state for each geographic location. A parsimony criterion applied to the evolution of this character on the phylogeny provides the minimum number of migration events consistent with the phylogeny. Extensive simulations show that the distribution of this minimum number is a simple function of Nm. Assuming the phylogeny is accurately estimated, this method provides an estimate of Nm that is as nearly as accurate as estimates obtained using FST and other statistics when Nm is moderate. Two examples of the use of this method with mitochondrial DNA data are presented.

scholarly journals The determination of point groups from imprecise molecular geometries

2021 ◽  
Author(s):  
Peter J. Knowles
Keyword(s):  
Symmetry Breaking ◽  
Point Group ◽  
Simple Function ◽  
Coordinate Frame ◽  
New Approach ◽  
Measure Of Symmetry ◽  
Point Groups

AbstractWe present a new approach for the assignment of a point group to a molecule when the structure conforms only approximately to the symmetry. It proceeds by choosing a coordinate frame that minimises a measure of symmetry breaking that is computed efficiently as a simple function of the molecular coordinates and point group specification.

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