19 relations: Émile Borel, Binomial transform, Borel summation, Christian Wolff (philosopher), Divergent series, Euler summation, Finite difference, Geometric series, Gottfried Wilhelm Leibniz, Grandi's series, Halle (Saale), Hanover, Leonhard Euler, Mathematics, Power of two, Real number, Series (mathematics), 1, 1/2 − 1/4 + 1/8 − 1/16 + ⋯.

## Émile Borel

Félix Édouard Justin Émile Borel (7 January 1871 – 3 February 1956) was a French mathematician and politician.

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## Binomial transform

In combinatorics, the binomial transform is a sequence transformation (i.e., a transform of a sequence) that computes its forward differences.

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## Borel summation

In mathematics, Borel summation is a summation method for divergent series, introduced by.

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## Christian Wolff (philosopher)

Christian Wolff (less correctly Wolf,; also known as Wolfius; ennobled as Christian Freiherr von Wolff; 24 January 1679 – 9 April 1754) was a German philosopher.

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## Christmas

Christmas is an annual festival commemorating the birth of Jesus Christ,Martindale, Cyril Charles.

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## Christmas and holiday season

The Christmas season, also called the festive season, or the holiday season (mainly in the U.S. and Canada; often simply called the holidays),, is an annually recurring period recognized in many Western and Western-influenced countries that is generally considered to run from late November to early January.

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## Christmas Eve

Christmas Eve is the evening or entire day before Christmas Day, the festival commemorating the birth of Jesus.

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## Christmas traditions

Christmas traditions vary from country to country.

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## Divergent series

In mathematics, a divergent series is an infinite series that is not convergent, meaning that the infinite sequence of the partial sums of the series does not have a finite limit.

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## Euler summation

In the mathematics of convergent and divergent series, Euler summation is a summability method.

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## Finite difference

A finite difference is a mathematical expression of the form.

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## Geometric series

In mathematics, a geometric series is a series with a constant ratio between successive terms.

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## Gottfried Wilhelm Leibniz

Gottfried Wilhelm (von) Leibniz (or; Leibnitz; – 14 November 1716) was a German polymath and philosopher who occupies a prominent place in the history of mathematics and the history of philosophy.

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## Grandi's series

In mathematics, the infinite series 1 - 1 + 1 - 1 + \dotsb, also written \sum_^ (-1)^n is sometimes called Grandi's series, after Italian mathematician, philosopher, and priest Guido Grandi, who gave a memorable treatment of the series in 1703.

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## Halle (Saale)

Halle (Saale) is a city in the southern part of the German state Saxony-Anhalt.

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## Hanover

Hanover or Hannover (Hannover), on the River Leine, is the capital and largest city of the German state of Lower Saxony (Niedersachsen), and was once by personal union the family seat of the Hanoverian Kings of the United Kingdom of Great Britain and Ireland, under their title as the dukes of Brunswick-Lüneburg (later described as the Elector of Hanover).

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## Leonhard Euler

Leonhard Euler (Swiss Standard German:; German Standard German:; 15 April 170718 September 1783) was a Swiss mathematician, physicist, astronomer, logician and engineer, who made important and influential discoveries in many branches of mathematics, such as infinitesimal calculus and graph theory, while also making pioneering contributions to several branches such as topology and analytic number theory.

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## Mathematics

Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.

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## New Year

New Year is the time or day at which a new calendar year begins and the calendar's year count increments by one.

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## New Year's Day

New Year's Day, also called simply New Year's or New Year, is observed on January 1, the first day of the year on the modern Gregorian calendar as well as the Julian calendar.

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## New Year's Eve

In the Gregorian calendar, New Year's Eve (also known as Old Year's Day or Saint Sylvester's Day in many countries), the last day of the year, is on 31 December which is the seventh day of Christmastide.

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## Power of two

In mathematics, a power of two is a number of the form where is an integer, i.e. the result of exponentiation with number two as the base and integer as the exponent.

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## Real number

In mathematics, a real number is a value of a continuous quantity that can represent a distance along a line.

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## Series (mathematics)

In mathematics, a series is, roughly speaking, a description of the operation of adding infinitely many quantities, one after the other, to a given starting quantity.

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## 1

1 (one, also called unit, unity, and (multiplicative) identity) is a number, numeral, and glyph.

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## 1/2 − 1/4 + 1/8 − 1/16 + ⋯

In mathematics, the infinite series is a simple example of an alternating series that converges absolutely.

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## 2018

2018 has been designated as the third International Year of the Reef by the International Coral Reef Initiative.

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## 2019

2019 (MMXIX) will be a common year starting on Tuesday of the Gregorian calendar, the 2019th year of the Common Era (CE) and Anno Domini (AD) designations, the 19th year of the 3rd millennium, the 19th year of the 21st century, and the 10th and last year of the 2010s decade.

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## Redirects here:

1 + 2 + 4 + 8 +., 1 + 2 + 4 + 8 +.., 1 + 2 + 4 + 8 +..., 1 − 2 + 4 − 8 + ..., 1 − 2 + 4 − 8 + 16 − · · ·, 1 − 2 + 4 − 8 + · · ·, 1 − 2 + 4 − 8 + …, 1+2+4+8+., 1+2+4+8+.., 1+2+4+8., 1+2+4+8...