The Samsung Galaxy Tab 10.1 is an Android-based tablet computer designed and manufactured by Samsung, introduced in 2011. It is part of the Samsung Galaxy Tab series, and features a 10.1-inch (260 mm) display and a 1 GHz dual-core Nvidia Tegra 2 processor. Late December, 1941: The Invaders fly over a battle-ravaged London in an Atlantean aircraft and engage a squad of Nazi bombers. When the RAF arrives to help, Cap and Bucky land their plane amidst a burning section of the city to help on the ground. There, they spot a mysterious golden-haired, golden-eyed woman in antiquated dress. The woman is walking around the burning ruins in a daze.

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The Samsung Galaxy Tab 4 10.1 is a 10.1-inch Android-based tablet computer produced and marketed by Samsung Electronics. It belongs to the fourth generation of the Samsung Galaxy Tab series, which also includes a 7-inch and an 8-inch model, the Galaxy Tab 4 7.0 and Galaxy Tab 4 8.0. It was announced on 1 April 2014, and released from 1 May 2014 along with the Samsung Galaxy Tab 4 8.0.

Features[edit]

Galaxy Tab 4 10.1 was released with Android 4.4.2 KitKat. Samsung customized the interface with its TouchWiz UX software. As well as apps from Google, including Google Play, Gmail and YouTube, it has access to Samsung apps such as ChatON, S Suggest, S Voice, S Translator, S Planner, Smart Remote (Peel)(WiFi Version Only), Smart Stay, Multi-Window, Group Play, and All Share Play.

The device is available in WiFi-only, 3G & WiFi, and 4G/LTE (carried by AT&T and Verizon) & WiFi variants. Storage ranges from 16 GB to 32 GB depending on the model, with a microSDXC card slot for expansion. Do your data recovery pro 6.2. It has a 10.1-inch WXGA TFT screen with a resolution of 1280x800 pixels. It also features a 1.3 MP front camera without flash and 3.0 MP AF rear-facing camera. It also has the ability to record HD videos. It has GPS and a GLONASS receiver.

References[edit]

1. ^'Samsung Galaxy Tab 4 10.1'. GSMArena. Retrieved 10 April 2014.
2. ^Samsung Galaxy Tab 4 Review - PC Advisor

In mathematics, 1 + 1 + 1 + 1 + ⋯, also written ${\displaystyle \sum _{n=1}^{\mathrm{\infty }}{n}^0}$, ${\displaystyle \sum _{n=1}^{\mathrm{\infty }}{1}^n}$, or simply ${\displaystyle \sum _{n=1}^{\mathrm{\infty }}1}$, is a divergent series, meaning that its sequence of partial sums does not converge to a limit in the real numbers. The sequence 1ⁿ can be thought of as a geometric series with the common ratio 1. Unlike other geometric series with rational ratio (except −1), it converges in neither the real numbers nor in the p-adic numbers for some p. In the context of the extended real number line

${\displaystyle \sum _{n=1}^{\mathrm{\infty }}1=+\mathrm{\infty },}$

since its sequence of partial sums increases monotonically without bound.

Where the sum of n⁰ occurs in physical applications, it may sometimes be interpreted by zeta function regularization, as the value at s = 0 of the Riemann zeta function

${\displaystyle \zeta (s)=\sum _{n=1}^{\mathrm{\infty }}\frac{1}{n^s}=\frac{1}{1-2^{1-s}}\sum _{n=1}^{\mathrm{\infty }}\frac{(-1{)}^{n+1}}{n^s},}$

The two formulas given above are not valid at zero however, so one might try the analytic continuation of the Riemann zeta function,

${\displaystyle \zeta (s)=2^s{\pi }^{s-1}\sin \left(\frac{\pi s}{2}\right)\mathrm{\Gamma }(1-s)\zeta (1-s),}$

Using this one gets (given that Γ(1) = 1),

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${\displaystyle \zeta (0)=\frac{1}{\pi }\underset{s\to 0}{lim}\sin \left(\frac{\pi s}{2}\right)\zeta (1-s)=\frac{1}{\pi }\underset{s\to 0}{lim}\left(\frac{\pi s}{2}-\frac{{\pi }^3{s}^3}{48}+...\right)\left(-\frac{1}{s}+...\right)=-\frac{1}{2}}$

where the power series expansion for ζ(s) about s = 1 follows because ζ(s) has a simple pole of residue one there. In this sense 1 + 1 + 1 + 1 + ⋯ = ζ(0) = −1/2.

Emilio Elizalde presents a comment from others about the series:

In a short period of less than a year, two distinguished physicists, A. Slavnov and F. Yndurain, gave seminars in Barcelona, about different subjects. It was remarkable that, in both presentations, at some point the speaker addressed the audience with these words: 'As everybody knows, 1 + 1 + 1 + ⋯ = −1/2.' Implying maybe: If you do not know this, it is no use to continue listening.^[2]

See also[edit]

Notes[edit]

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1. ^Tao, Terence (April 10, 2010), The Euler-Maclaurin formula, Bernoulli numbers, the zeta function, and real-variable analytic continuation, retrieved January 30, 2014
2. ^Elizalde, Emilio (2004). 'Cosmology: Techniques and Applications'. Proceedings of the II International Conference on Fundamental Interactions. arXiv:gr-qc/0409076. Bibcode:2004gr.qc...9076E.

External links[edit]

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• OEISsequence A000012 (The simplest sequence of positive numbers: the all 1's sequence)

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