Some Numerical Series from � dx 1+x n

1983 ◽  
Vol 67 (440) ◽  
pp. 95 ◽  
Author(s):  
J. M. H. Peters
Keyword(s):  
Author(s):  
Matthew A. Pons
Keyword(s):  

1959 ◽  
Vol 91 (1-2) ◽  
pp. 19-31
Author(s):  
Gerard Clauson
Keyword(s):  

The Turkish Languages are unusually rich in numerical series, and there are pecularities in their numerical system which are, I believe, unparallelled elsewhere. The main facts are well known, and it might be thought that there was nothing more to be said about them; but several interesting points have never been properly discussed. The purpose of this paper is to call attention to them.


2019 ◽  
Vol 9 (3) ◽  
pp. 1 ◽  
Author(s):  
Mojahed Mousa ◽  
Gyöngyvér Molnár

Computer-based assessment offers unique possibilities for collecting data about student’s cognitive development and using this data to improve learning. Its innovative approach to assessment (Thurlow, et al., 2010) encourages educational systems worldwide to involve it. This study introduces and tests the applicability of computer-based testing in the Palestinian schools by measuring fourth (N=123) and fifth (N=125) graders (age ± 9-10) inductive reasoning skills. The online test consists of 60 items measuring figural series (18 items), figural analogy (18 items), numerical series (16 items) and numerical analogy (8 items). Automatic scoring was used and at the end of the test instant feedback was provided for the students. The online data collection was carried out via the eDia platform (Molnár & Csapó, 2019) using the schools’ infrastructure. The time spent to complete the test was approximately 60 minutes. The reliability (Cronbach-alpha) of the inductive reasoning test was .807. The test proved to be difficult for the students M=25.29% SD=10.94%. There were no significant gender differences (M_girls=26.75, M_boys=24.13; t=-1,92, p>.05). Students with higher school achievement proved to be more developed in inductive reasoning skill (M_school_advanced=40.08, M_school_average=25.48; M_school_low=14.50, F=528.16, p<.001; r=.89, p<.001), which indicates that its assessment and development must be included in the Palestine school curriculum. This study provided evidence that (1) computer-based testing can be introduced in the Palestinian school system even at early ages; (2) the development of inductive reasoning is an integral part of the Palestinian school curriculum, thus the stimulation of it is pursued explicitly in Palestinian schools.


1974 ◽  
Vol 62 ◽  
pp. 139-155
Author(s):  
V. A. Brumberg

This paper deals with an iterative version of the general planetary theory. Just as in Airy's Lunar method the series in powers of planetary masses are replaced here by the iterations to achieve improved approximations for the coefficients of planetary inequalities. The right-hand members of the equations of motion are calculated in closed formulas, and no expansion in powers of small corrections to the planetary coordinates is needed. For the N-planet case this method requires the performance of the analytical operations on a computer with power series of 4N polynomial variables, the coefficients being the exponential series of N-1 angular arguments. To obtain numerical series of planetary motion one has to solve the secular system using Birkhoff's normalization or the Taylor series in powers of time. A slight modification of the method in the resonant case makes it valid for the treatment of the main problem of the Galilean satellites of Jupiter.


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