scholarly journals Generalized Binomial Transform Applied to the Divergent Series

2016 ◽  
Vol 47 (11) ◽  
pp. 2413
Author(s):  
H. Yamada
Author(s):  
A. De Morgan

In the last Number I gave the most elementary view I could arrive at of Arbogast's method of development. In the communication following I saw that Mr. Peter Gray had referred to Stirling's theorem; and this suggested that it might be useful to give, by means of common algebra only, an account of the two most important cases of summation of many terms of a divergent series.


Lexicon ◽  
2021 ◽  
Vol 7 (2) ◽  
pp. 224
Author(s):  
Adelia Fatmawati Pradani ◽  
Thomas Joko Priyo Sembodo

This research focuses on identifying the types of conversational maxims violated by the characters in a feature film trilogy entitled The Divergent Series. This research also aims to explain the functions of the violation of conversational maxims in the series. The result shows that there are 100 violations of conversational maxim in Divergent series, and among those, there are 43 violations of maxim of relevance (43%), which is the most frequently occurred in the movie. The second violation identified is the violation of maxim of manner, which reaches 24 violations (24%), and the third frequently occurring violation is violations of maxim of quantity with 22 numbers of violation (22%)/. The least occurring violation found in the movie is violation of  maxim of quality, which reaches 11 numbers of violation (11%). There are several functions of the violation of conversational maxim found in the movie: keeping a secret, concealing half of the information, avoiding certain topic/question, and confusing the hearer.


1952 ◽  
Vol 4 ◽  
pp. 445-454 ◽  
Author(s):  
G. M. Petersen

In this note we shall discuss certain matrix methods of summation, though otherwise, §1 and §2 are not connected.In this section, we shall study some properties of the method (Bh) where we say the series ∑uv is summable (Bh) whenThe method (Bh) has been studied in special cases airsing from different values of h by Rogosinski [11; 12], Bernstein [2], and more recently by Karamata [3; 4].


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