In mathematics, Faulhaber's formula, named after the early 17th century mathematician Johann Faulhaber, expresses the sum of the p-th powers of the first...
33 KB (7,891 words) - 23:57, 25 July 2024
Johann Faulhaber (5 May 1580 – 10 September 1635) was a German mathematician, specifically, a Rechenmeister. Born in Ulm, Faulhaber was a trained weaver...
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tangent functions, in Faulhaber's formula for the sum of m-th powers of the first n positive integers, in the Euler–Maclaurin formula, and in expressions...
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Triangular number (category CS1 German-language sources (de))
{n_{k}+k-1}{k}}} Triangular numbers correspond to the first-degree case of Faulhaber's formula. {{{annotations}}} Alternating triangular numbers (1, 6, 15, 28,...
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is not always a closed-form expression for such a summation, but Faulhaber's formula provides a closed form in the case where f ( n ) = n k {\displaystyle...
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mathematician, Charles de Tinseau d'Amondans (1746–1818), as well. However the theorem had also been known much earlier to Johann Faulhaber (1580–1635) and René...
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Ulm (category CS1 German-language sources (de))
first female physician in Germany Johann Faulhaber (1580–1635), mathematician, inventor of Faulhaber's formula. Johann Freinsheim (1608–1660), a German...
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Square pyramidal number (section Formula)
{n}{6}}.} This equation for a sum of squares is a special case of Faulhaber's formula for sums of powers, and may be proved by mathematical induction....
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René Descartes (category CS1 German-language sources (de))
Rosicrucian movement. During his journey in Germany, he met Johannes Faulhaber who had previously expressed his personal commitment to join the brotherhood...
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Reichskonkordat (category CS1 German-language sources (de))
March 1933, Pope Pius XI received the German Cardinal Faulhaber in Rome. On his return Faulhaber reported: After my recent experience in Rome in the highest...
105 KB (14,686 words) - 06:59, 14 July 2024