A single‐point method to quantitatively diagnose the magnetotail flapping motion

Author(s):  
Z. J. Rong ◽  
C. Zhang ◽  
Lucy Klinger ◽  
C. Shen ◽  
J. Cui ◽  
...  
2020 ◽  
Author(s):  
Zhaojin Rong ◽  
Chi Zhang ◽  
Lucy Klinger ◽  
Yong Wei ◽  
Chao Shen ◽  
...  

10.37236/1517 ◽  
2000 ◽  
Vol 7 (1) ◽  
Author(s):  
Charles Knessl ◽  
Wojciech Szpankowski

We study the limiting distribution of the height in a generalized trie in which external nodes are capable to store up to $b$ items (the so called $b$-tries). We assume that such a tree is built from $n$ random strings (items) generated by an unbiased memoryless source. In this paper, we discuss the case when $b$ and $n$ are both large. We shall identify five regions of the height distribution that should be compared to three regions obtained for fixed $b$. We prove that for most $n$, the limiting distribution is concentrated at the single point $k_1=\lfloor \log_2 (n/b)\rfloor +1$ as $n,b\to \infty$. We observe that this is quite different than the height distribution for fixed $b$, in which case the limiting distribution is of an extreme value type concentrated around $(1+1/b)\log_2 n$. We derive our results by analytic methods, namely generating functions and the saddle point method. We also present some numerical verification of our results.


1986 ◽  
Vol 148 (4) ◽  
pp. 401-405 ◽  
Author(s):  
Paul J. Perry ◽  
Bruce Alexander ◽  
Randall A. Prince ◽  
Frederick J. Dunner

Two methods for predicting steady-state serum lithium level were compared prospectively in in-patients suffering from affective disorder. A single-point prospective administration model that required a single 24-hour serum lithium level, following a test dose produced statistically similar predictions of the observed steady-state lithium levels as did a model that required 12- and 36-hour levels. However, the latter two-point method produced significantly more accurate predictions from clinical interpretation. Although the two-point approach is preferable, the single-point method is clinically acceptable if its limitations of accuracy are taken into consideration.


1984 ◽  
Vol 84 (4) ◽  
pp. 574-576 ◽  
Author(s):  
Sudhakar Madakasira ◽  
Prabhaker G. Khazanie ◽  
Takao L. Sato

2021 ◽  
pp. 13-19
Author(s):  
A. G. Kondrashov ◽  
◽  
D. T. Safarov ◽  

The article discusses a method for automated measurement of the length of the general normal of a helical cylindrical wheel, which allows to obtain its exact value without removing the part after gear processing with disk or end mills. The measurements are carried out by means of an automated supply of a three-coordinate linear measurement indicator to the calculated measurement points. The formulas for calculating the length of the general normal are given, which allow calculating the value of the length of the general normal and the correction value of the CNC gear ring processing program for two and one-point measurement schemes with the indicator. The use of the two-point method of measuring the length of the general normal with a three-coordinate indicator made it possible to measure the length of the general normal without removing the processed gear wheel from the mandrel, the single-point method completely eliminates the possibility of adjustment defects and reduces the complexity of carrying out machine changeovers in the mode of single and small-scale processing of gears. Comparison of gear measurement data with the three-coordinate indicator Mahr and a specialized CNC gear measuring machine give similar values and confirm the possibility of using the developed scheme to measure the length of the common normal


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