Mathematical Table Makers. (Portraits, Paintings, Busts, Monuments, Bio- Bibliographical Notes).

Research on Judgment Day is a form of tauhīd development of faith and belief in the existence of the Judgment Day. In the past 30 years (1988-2018), there are 23 studies that have been done in different dimensions by focusing on the signs and secrets of the Judgment day. The study was produced either in the form of material collections, debates in book, qualify for academic degrees and articles published in seminars or journal papers. The purpose of this study is to highlight the development of the Judgment Day study through several different dimensions. Hence, this qualitative study will review the literature of Judgment Day by using the document analysis method and based on the mathematical table "Systematic Literature Review (SLR)" and Atlas.ti 8 software. This systematic analysis focuses on background study, research objective, research design and findings of the study. The findings show that the Judgment Day has been split into three themes, namely the study of the Qur'an and the hadith, the study of Arabic grammar and the new exploratory study which is students' understanding of Judgment Day. Of the three themes, there are 12 sub-themes that have been released.

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On the Construction of Tables by the Method of Differences

Journal of the Institute of Actuaries (1866) ◽

10.1017/s2046166600002956 ◽

1866 ◽

Vol 13 (2) ◽

pp. 61-75

Author(s):

Peter Gray

Keyword(s):

Characteristic Function ◽

Limited Extent ◽

Mathematical Table ◽

Fundamental Values

Every mathematical table consists of a series of values of a function corresponding to successive values of the variable, which last series of values forms the argument of the table. Any such table may be constructed therefore, when the function to be tabulated—which may be called the characteristic function—is known, by the evaluation of that function in terms of the successive values of the argument. It is only, however, when the table to be constructed is of limited extent that this method of formation would be employed. If the table be extensive, and especially if the characteristic function be complex, this, which may be called the direct method, would become too laborious, each value when formed in this way also requiring separate verification. In these circumstances the Method of Differences becomes available for the end in view. This method dispenses with all reference to the characteristic function beyond what is necessary for the formation of a few values (which I call fundamental or primitive values), at stated intervals; and in applying it, each value being dependent on the preceding, verification is obtained by the periodical coincidence with those fundamental values of the corresponding terms in the series in course of being formed.

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