A CLUSTER OF ANNIVERSARIES. II.

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Title: A CLUSTER OF ANNIVERSARIES. II.
Authors: SHEYNIN, OSCAR1 oscar.sheynin@googlemail.com
Source: Mathematical Scientist. Jun2015, Vol. 40 Issue 1, p1-6. 6p.
Subjects: Pascal's triangle, Combinatorics, Sixteenth century, Probability theory, Gaussian distribution, Polygonal numbers
Abstract: Pascal's treatise on the arithmetic triangle (see Pascal (1665)) described the separate findings on this topic made mostly in the 16th century. Pascal showed how to apply the triangle to the theory of figurate numbers and combinatorics. Bayes completed the first version of the theory of probability and possibly considered that it belonged to pure science. Laplace's Essai was a barely successful popular treatise but it included interesting side issues such as the natural scientific study of moral sciences, psychology, and final causes. De Morgan was the first to note the normal distribution in De Moivre but was considered a logician rather than a mathematician. For 150 years Todhunter's history of probability has remained a necessary and useful source of information. [ABSTRACT FROM AUTHOR]
Copyright of Mathematical Scientist is the property of Applied Probability Trust School of Mathematics & Statistics and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: A CLUSTER OF ANNIVERSARIES. II.
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  Data: Pascal's treatise on the arithmetic triangle (see Pascal (1665)) described the separate findings on this topic made mostly in the 16th century. Pascal showed how to apply the triangle to the theory of figurate numbers and combinatorics. Bayes completed the first version of the theory of probability and possibly considered that it belonged to pure science. Laplace's Essai was a barely successful popular treatise but it included interesting side issues such as the natural scientific study of moral sciences, psychology, and final causes. De Morgan was the first to note the normal distribution in De Moivre but was considered a logician rather than a mathematician. For 150 years Todhunter's history of probability has remained a necessary and useful source of information. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
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  Group: Ab
  Data: <i>Copyright of Mathematical Scientist is the property of Applied Probability Trust School of Mathematics & Statistics and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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      – Code: eng
        Text: English
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      – SubjectFull: Pascal's triangle
        Type: general
      – SubjectFull: Combinatorics
        Type: general
      – SubjectFull: Sixteenth century
        Type: general
      – SubjectFull: Probability theory
        Type: general
      – SubjectFull: Gaussian distribution
        Type: general
      – SubjectFull: Polygonal numbers
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      – TitleFull: A CLUSTER OF ANNIVERSARIES. II.
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              Text: Jun2015
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