A comment on solomon and ciut??'s single-point method for determining intrinsic viscosity

1963 ◽  
Vol 7 (6) ◽  
pp. S37-S38
Author(s):  
E. H. Catsiff
2017 ◽  
Vol 63 ◽  
pp. 427-433 ◽  
Author(s):  
Marcia Parente Melo da Costa ◽  
Marcia Cerqueira Delpech ◽  
Ivana Lourenço de Mello Ferreira ◽  
Maurício Tavares de Macedo Cruz ◽  
Jacira Aparecida Castanharo ◽  
...  

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.


1963 ◽  
Vol 7 (4) ◽  
pp. S30-S31 ◽  
Author(s):  
R. Z. Naar ◽  
H. H. Zabusky ◽  
R. F. Heitmiller

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

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