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The partial sums of the series 1 + 2 + 3 + 4 + 5 + 6 + ⋯ are 1, 3, 6, 10, 15, etc.The nth partial sum is given by a simple formula: = = (+). This equation was known ...
The New Revised Standard Version ( NRSV) is a translation of the Bible in contemporary English. Published in 1989 by the National Council of Churches, [ 8] the NRSV was created by an ecumenical committee of scholars "comprising about thirty members". [ 9] The NRSV relies on recently published critical editions of the original Hebrew, Aramaic ...
Ramanujan summation is a technique invented by the mathematician Srinivasa Ramanujan for assigning a value to divergent infinite series.Although the Ramanujan summation of a divergent series is not a sum in the traditional sense, it has properties that make it mathematically useful in the study of divergent infinite series, for which conventional summation is undefined.
These Basic Earbuds. The Work Earbuds Classic. Raycon. For everyday wear that’s easy to take in and out, these buds are the perfect pick! See it! Get The Work Earbuds Classic (originally $120 ...
2 Esdras[ a] is an apocalyptic book in some English versions of the Bible. [ b][ c][ 2] Tradition ascribes it to Ezra, a scribe and priest of the fifth century BC, whom the book identifies with the sixth-century figure Shealtiel. [ 3]: 37. 2 Esdras forms a part of the canon of Scripture in the Ethiopian Orthodox Church (an Oriental Orthodoxy ...
Ramanujan's sum. In number theory, Ramanujan's sum, usually denoted cq ( n ), is a function of two positive integer variables q and n defined by the formula. where ( a, q) = 1 means that a only takes on values coprime to q . Srinivasa Ramanujan mentioned the sums in a 1918 paper. [ 1]
The idea becomes clearer by considering the general series 1 − 2x + 3x 2 − 4x 3 + 5x 4 − 6x 5 + &c. that arises while expanding the expression 1 ⁄ (1+x) 2, which this series is indeed equal to after we set x = 1.
Infobox references. 1,2,3,4-Tetraphenylnaphthalene is a polycyclic aromatic hydrocarbon commonly prepared in the undergraduate teaching laboratory as an introduction to the Diels-Alder reaction, in this case between benzyne, which acts as the dienophile, (generated in situ) and tetraphenylcyclopentadienone, which acts as the diene. [3]
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