Ramanujan writes − 3 c = 1 − 2 + 3 − 4 + ⋯ = 1 ( 1 + 1 ) 2 = 1 4 . {\displaystyle -3c=1-2+3-4+\cdots ={\frac {1}{(1+1)^{2}}}={\frac {1}{4}}.} Dividing both sides...

Look up 1/4, fourth, or quarter in Wiktionary, the free dictionary. 1/4 or 1⁄4 or ¼ may refer to: The calendar date January 4, in month-day format The...

In mathematics, 1 − 2 + 3 − 4 + ··· is an infinite series whose terms are the successive positive integers, given alternating signs. Using sigma summation...

Project 4.1 was the designation for a medical study and experimentation conducted by the United States of those residents of the Marshall Islands exposed...

4/1 may refer to: April 1 (month-day date notation) January 4 (day-month date notation) 4 divided by 1 (4) This disambiguation page lists articles associated...

formation, from the most defensive to the most advanced. For example, the "4–5–1" formation has four defenders, five midfielders, and a single forward. The...

1 2 + 1 4 + 1 8 + 1 16 + ⋯ = ∑ n = 1 ∞ ( 1 2 ) n = 1. {\displaystyle {\frac {1}{2}}+{\frac {1}{4}}+{\frac {1}{8}}+{\frac {1}{16}}+\cdots =\sum _{n=1}^{\infty...

Funky 4 + 1 was an American hip hop group from The Bronx, New York, composed of Jazzy Jeff, Sha-Rock (b. Sharon Green), D.J. Breakout, Guy Williams, Keith...

the series 1 + ⁠1/4⁠ + ⁠1/16⁠ + ⋯ are: 1 + 1 4 + 1 4 2 + ⋯ + 1 4 n = 1 − ( 1 4 ) n + 1 1 − 1 4 . {\displaystyle 1+{\frac {1}{4}}+{\frac {1}{4^{2}}}+\cdots...

Matthew 1:4 is the fourth verse of the first chapter in the Gospel of Matthew in the New Testament. The verse is part of the section where the genealogy...

Matthew 4:1 is the first verse of the fourth chapter of the Gospel of Matthew in the New Testament. This verse opens the section in Matthew dealing with...

direction. In JPEG, 4:4:2 and 4:2:1 half the vertical resolution of Cb compared to 4:4:4 and 4:4:0. In another version of 4:2:1, Cb horizontal resolution...

−1, as was derived above by analytic continuation. 1 − 1 + 2 − 6 + 24 − 120 + ⋯ 1 − 1 + 1 − 1 + ⋯ (Grandi's series) 1 + 1 + 1 + 1 + ⋯ 1 − 2 + 3 − 4 +...

Genesis 1:4 is the fourth verse of the first chapter of the Book of Genesis. It is the response to God's command in verse 3, "Let there be light." It...

4+1 is a view model used for "describing the architecture of software-intensive systems, based on the use of multiple, concurrent views". The views are...

OpenOffice 4, LibreOffice 4.1 is released". ghacks.net. Archived from the original on 14 February 2014. Retrieved 4 March 2014. "Release Notes 3.4". The Document...

4.1, (Erythrocyte membrane protein band 4.1), is a protein associated with the cytoskeleton that in humans is encoded by the EPB41 gene. Protein 4.1 is...

second-generation iPod Touch, up to version 4.2.1 (4.3 dropped support for both devices). iBooks Game Center FaceTime iPhone OS 4 was introduced at the Apple Special...

from 4 February 1830 until 23 July 1830. This session was also traditionally cited as 11 Geo. 4, 11 G. 4, 11 Geo. 4 & 1 W. 4, 11 G. 4 & 1. W. 4 or 1 Geo...

4.3.2.1. (which stands for "4 girls, 3 days, 2 cities, 1 chance") is a 2010 British crime thriller film written, produced and directed by Noel Clarke,...

point releases (versions 4.1 through 4.3.1). Among the devices that launched with Android 4.1 to 4.3 are the Nexus 7 (2012), Nexus 4, Nexus 10, Nexus 7 (2013)...

1 Chronicles 4 is the fourth chapter of the Books of Chronicles in the Hebrew Bible or the First Book of Chronicles in the Old Testament of the Christian...

In mathematics, 1 − 2 + 4 − 8 + ⋯ is the infinite series whose terms are the successive powers of two with alternating signs. As a geometric series, it...

license. The first release was version 3.4.0, on 8 May 2012. The most recent significant feature release was version 4.1, which was made available in 2014....

ratio is −⁠1/2⁠, so its sum is ∑ n = 1 ∞ ( − 1 ) n + 1 2 n = 1 2 − 1 4 + 1 8 − 1 16 + ⋯ = 1 2 1 − ( − 1 2 ) = 1 3 . {\displaystyle \sum _{n=1}^{\infty }{\frac...

4-Phenyl-4-(1-piperidinyl)cyclohexanol, also known as PPC, is an organic chemical which is a metabolite of phencyclidine (PCP). It can be detected in...

4-4-1 (also written as "441") are an alternative-pop Christian rock band who played primarily in the 1980s. 4-4-1 consisted of lead singer/guitarist John...

Wilhelm Gustav Hermann Nowack argue that Malachi 1:1 is a late addition, pointing to Zechariah 9:1 and 12:1.[citation needed] Another interpretation of the...

unchanged ( 1 × n = n × 1 = n {\displaystyle 1\times n=n\times 1=n} ). As a result, the square ( 1 2 = 1 {\displaystyle 1^{2}=1} ), square root ( 1 = 1 {\displaystyle...

logo on screen denoted true HD content. On 1 July 2014, Channel 4 +1 HD, an HD simulcast of Channel 4 +1, launched on Freeview channel 110. It closed...