File:JakobBernoulliSummaePotestatum.png

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Summary

Description

English: Cutout From Jakob Bernoullis Ars Conjectandi, 1713, TeXted by the creator of the image.

Date

15 June 2008

Source

Jakob Bernoulli, Ars Conjectandi, first edition, 1713.

Author

Creator:Wirkstoff

Other versions

Math equation only:

This image shows some kind of formula that could be converted to TeX. Storing formulas as images makes it harder to change them. TeX also helps making sure that they all use the same font and size.
A replacement has been proposed. In your article, replace the image with this code.

\begin{matrix} \int n^{c} = & \frac{1}{(c + 1)} n^{c + 1} + \frac{1}{2} n^{c} + \frac{c}{2} A n^{(c - 1)} + \frac{c \cdot (c - 1) \cdot (c - 2)}{2 \cdot 3 \cdot 4} B n^{(c - 3)} \\ + \frac{c \cdot (c - 1) \cdot (c - 2) \cdot (c - 3) \cdot (c - 4)}{2 \cdot 3 \cdot 4 \cdot 5 \cdot 6} C n^{(c - 5)} \\ + \frac{c \cdot (c - 1) \cdot (c - 2) \cdot (c - 3) \cdot (c - 4) \cdot (c - 5) \cdot (c - 6)}{2 \cdot 3 \cdot 4 \cdot 5 \cdot 6 \cdot 7 \cdot 8} D n^{(c - 7)} \dots \end{matrix}

<math>\begin{align}
\int n^{c} = &\frac{1}{(c+1)} n^{c+1}+\frac{1}{2} n^{c}+\frac{c}{2} A n^{(c-1)}+\frac{c \cdot (c-1) \cdot (c-2)}{2 \cdot 3 \cdot 4} B n^{(c-3)} \\
&{+\frac{c \cdot (c-1) \cdot (c-2) \cdot (c-3) \cdot (c-4)}{2 \cdot 3 \cdot 4 \cdot 5 \cdot 6} C n^{(c-5)} } \\
&{+\frac{c \cdot (c-1) \cdot (c-2) \cdot (c-3) \cdot (c-4) \cdot (c-5) \cdot (c-6)}{2 \cdot 3 \cdot 4 \cdot 5 \cdot 6 \cdot 7 \cdot 8} D n^{(c-7)} \cdots }

\end{align}</math>

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Licensing

	This work is in the public domain in its country of origin and other countries and areas where the copyright term is the author's life plus 70 years or fewer. You must also include a United States public domain tag to indicate why this work is in the public domain in the United States. Note that a few countries have copyright terms longer than 70 years: Mexico has 100 years, Jamaica has 95 years, Colombia has 80 years, and Guatemala and Samoa have 75 years. This image may not be in the public domain in these countries, which moreover do not implement the rule of the shorter term. Honduras has a general copyright term of 75 years, but it does implement the rule of the shorter term. Copyright may extend on works created by French who died for France in World War II (more information), Russians who served in the Eastern Front of World War II (known as the Great Patriotic War in Russia) and posthumously rehabilitated victims of Soviet repressions (more information).
	This file has been identified as being free of known restrictions under copyright law, including all related and neighboring rights.

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	Date/Time	Thumbnail	Dimensions	User	Comment
current	03:10, 6 September 2008		576 × 732 (19 KB)	wikimediacommons>Olathe	Losslessly recompressed. Category:undefined

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File:JakobBernoulliSummaePotestatum.png

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copyright status

public domain

inception

15 June 2008

media type

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data size

19,394 byte

height

732 pixel

width

576 pixel

checksum

2be29565a23fadb3152449711d61941576aa7429

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File:JakobBernoulliSummaePotestatum.png

Summary

Licensing

Captions

Items portrayed in this file

15 June 2008

image/png

19,394 byte

732 pixel

576 pixel

2be29565a23fadb3152449711d61941576aa7429

File history

File usage

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