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Madhava's correction term is a mathematical expression attributed to Madhava of Sangamagrama (c. 1340 – c. 1425), the founder of the Kerala school of astronomy and mathematics, that can be used to give a better approximation to the value of the mathematical constant π (pi) than the partial sum approximation obtained by truncating the Madhava–Leibniz infinite series for π.
For example: 24 x 11 = 264 because 2 + 4 = 6 and the 6 is placed in between the 2 and the 4. Second example: 87 x 11 = 957 because 8 + 7 = 15 so the 5 goes in between the 8 and the 7 and the 1 is carried to the 8.
In Theon of Alexandria's (4th century AD) commentary on the Almagest, the numeral-phrase ͵αφιε κ ιε expresses 1515 (͵αφιε) degrees, 20 (κ) minutes, and 15 (ιε) seconds. [17] The degree's value is in the ordinary decimal alphabetic numerals, including the use of the multiplicative hasta for 1000, while the latter two positions ...
It can be proven that: . For a given prime number p, if n is p-perfect and p does not divide n, then pn is (p + 1)-perfect.This implies that an integer n is a 3-perfect number divisible by 2 but not by 4, if and only if n/2 is an odd perfect number, of which none are known.
[5] [6] In physics, parsimony was an important heuristic in the development and application of the principle of least action by Pierre Louis Maupertuis and Leonhard Euler, [43] in Albert Einstein's formulation of special relativity, [44] [45] and in the development of quantum mechanics by Max Planck, Werner Heisenberg and Louis de Broglie. [6] [46]
where f (2k−1) is the (2k − 1)th derivative of f and B 2k is the (2k)th Bernoulli number: B 2 = 1 / 6 , B 4 = − + 1 / 30 , and so on. Setting f ( x ) = x , the first derivative of f is 1, and every other term vanishes, so [ 15 ]
"Adam and Eve" by Ephraim Moshe Lilien, 1923. In Judaism, Christianity, and some other Abrahamic religions, the commandment to "be fruitful and multiply" (referred to as the "creation mandate" in some denominations of Christianity) is the divine injunction which forms part of Genesis 1:28, in which God, after having created the world and all in it, ascribes to humankind the tasks of filling ...
Psalm 16 is the 16th psalm in the Book of Psalms, beginning in English in the King James Version: "Preserve me, O God: for in thee do I put my trust.". In the slightly different numbering system used in the Greek Septuagint and Latin Vulgate translations of the Bible, this psalm is Psalm 15.