scholarly journals LGP Pattern Design by Using a Pattern Density Function with Simple Exponential Function

2010 ◽  
Vol 21 (3) ◽  
pp. 97-102 ◽  
Author(s):  
Young-Chul Kim ◽  
Dae-Wook Kim ◽  
Tae-Sik Oh ◽  
Yong-Min Lee ◽  
Seung-Joon Ahn ◽  
...  
1956 ◽  
Vol 185 (1) ◽  
pp. 179-184 ◽  
Author(s):  
Patrick J. Mulrow ◽  
Herbert M. Oestreich ◽  
Roy C. Swan

Volumes of distribution of mannitol, sucrose, thiosulfate and radiosulfate have been measured simultaneously in nephrectomized dogs. The volume of distribution of each substance is reproducible when the substance is reinfused 6 hours later. There appears to be no increase in the extracellular fluid volume during this interval as a result of the nephrectomy. The logarithm of the concentration of mannitol, sucrose and radiosulfate continues as a simple exponential function of time from the 3rd to 30th hour after their infusion. The volumes of distribution of mannitol and radiosulfate reflect increments in extracellular fluid with fair accuracy, while the sucrose distribution measures only 72% of a 1-liter expansion of extracellular fluid. There are serious limitations in the application of thiosulfate distribution to such measurements.


1975 ◽  
Vol 4 (1) ◽  
pp. 31-51 ◽  
Author(s):  
Elliot G. Mishler

ABSTRACTThe structure of natural conversations in first-grade classrooms is the focus of this inquiry. Analyses of a particular type of discourse, namely, connected conversations initiated and sustained by questioning, suggest that the probability that a conversation will be continued may be expressed as a simple exponential function. The formula, pi = ari−1, generates a curve of theoretically-expected rates of successive questions in a series that closely matches observed rates. The formula is based on the application of a constant ratio, that is, the ratio of rates within each pair of adjacent questions is the same throughout the series: p2:p1=p3:p2 = p4:p3. … Thus, it appears that the probability of a ‘next’ question following an exchange that contains a previous question remains constant through the length of the discourse series. In other words, the probability of a question is independent of the temporal location of an utterance in this type of connected conversation. The analyses suggest further that the model of a finite Markov chain, that is, of a particular type of stochastic process, may be applicable to certain features of a discourse. (Conversational analysis, sequencing in exchanges, U.S. English in first-grade classrooms.)


2002 ◽  
Vol 56 (10) ◽  
pp. 1368-1375 ◽  
Author(s):  
Amanda H. Ackerman ◽  
Robert J. Hurtubise

A detailed investigation was undertaken to determine the important parameters that were responsible for the solid-matrix phosphorescence (SMP) moisture quenching of phosphors adsorbed in Whatman No. 1 (hydrophilic) and Whatman 1PS (partially hydrophobic) papers. The three phosphors used were phenanthrene, perdeuterated phenanthrene, and benzo[ e]pyrene. Both SMP lifetime and SMP intensity data were obtained over a wide range of adsorbed moisture. In addition, moisture isotherms were obtained for the No. 1 and 1PS papers. The SMP lifetimes of phenanthrene and benzo[ e]pyrene were independent of the amount of adsorbed moisture on both the No. 1 and 1PS papers. However, the SMP lifetimes of perdeuterated phenanthrene on No. 1 and 1PS papers were dependent on the extent of the adsorbed moisture. The changes in the SMP intensities as a function of adsorbed moisture for phenanthrene, benzo[ e]pyrene, and perdeuterated phenanthrene on No. 1 paper could be modeled by a simple exponential function with phenanthrene and benzo[ e]pyrene giving better correlations compared to perdeuterated phenanthrene. The change in the modulus of filter paper samples with moisture adsorption was a major factor in causing the SMP intensity to decrease. The decrease in the SMP intensities with moisture adsorption for the three phosphors adsorbed on 1PS paper did not correlate with the simple Stern–Volmer model and several other quenching models discussed in the literature. Thus, these data were fit to a relatively simple empirical equation. The results showed that the SMP quenching phenomena for the three phosphors on No. 1 paper and on 1PS paper were considerably different.


Author(s):  
D.R. Munaf ◽  
M.S. Besari ◽  
M.M. IqbaP ◽  
And I. Kadir

Results of an experimental investigation on the effect of fly ash content, water cement (w/c) ratio of concrete prepared and cured at temperatures of ambience, 40°C and 60°C are presented in this paper. The mechanical properties investigated here include its workability, its behaviour under compression and splitting tension. Microscopic investigations were also carried out using SEM micrographic images to gain understanding of concrete at its microstructural level.The results indicate that high temperature increases early compressive strengths of concrete, but has decreasing effects on the strengths at later ages. The use of fly ash in concretes cast and cured at elevated temperatures improves the physical and mechanical properties of fresh as well as those of hardened concrete.Various mathematical models describing the properties of such concretes are considered at the end of this paper. The strength properties of high temperature fly ash concrete were best represented by a simple exponential function of time, while its stress-strain relationship could be best described by an exponential function of strain of a more complicated form.


2002 ◽  
Vol 732 ◽  
Author(s):  
Jinru Bian ◽  
John Quanci

AbstractTheoretical chemical mechanical polishing local planarization models as a function of polishing time and film removal are reviewed, and re-derived in a systematic and correlative way. The derived models employ pad viscoelastic and relaxation properties to explain the experimental phenomena that step height local planarization is an exponential function of line width at the same line density, and also account for the affect of pattern density and polishing of two different materials at the same time on step height planarization.


1970 ◽  
Vol 31 (2) ◽  
pp. 603-609 ◽  
Author(s):  
Ulf Lundberg ◽  
Goesta Ekman

During a period of 23 days, 51 students reported on their emotional reaction to an examination taking place at the end of the period; a variant of the method of magnitude estimation was used for this purpose. Scale values of elapsed time were also obtained. The results showed that emotional involvement increased as subjective time before the examination decreased. The process could be describd by a simple exponential function.


2004 ◽  
Vol 816 ◽  
Author(s):  
Hyuk Kwon ◽  
Yong-Soo Choi ◽  
Sang-Hwa Lee ◽  
Geun-Min Choi ◽  
Yong-Wook Song ◽  
...  

AbstractIn the scribe lane, which is located at the frame neighboring two chips, most of the test patterns for monitoring electrical characteristics of memory device as well as various key patterns for photo process are formed. The pattern density of these regions is lower than that of the main chip area, and cause nitride erosion by dishing phenomena during HSS STI CMP process. Nitride erosion occurred in the scribe lane region, could the affect erosion properties of cell region in main chip area, results in within die remain nitride variation and marginal fail in device operation. In this work, in order to prevent these problems, pattern design in the scribe lane was modified so as not to occurs within die remain nitride variation. The effects of improvement in within die remain nitride variation were investigated by FIB-TEM analysis and its correlation with electrical properties were explained.


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