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On three classes of logarithmic integrals
Necdet Bat{\i}r, Nandan Sai Dasireddy
https://arxiv.org/abs/2510.00870 https://arxiv.org/pdf/2510.00870

On three classes of logarithmic integrals
In this paper, we evaluate the following families of definite integrals in closed form and we show that they are expressible only in terms of the dilogarithm function and the inverse tangent integral, and elementary functions. \begin{equation*} \int_{0}^{1}\frac{\log\big(x^m+1\big)}{x+1}\thinspace{\rm d}x \quad \mbox{and}\quad \int_{0}^{1}\frac{\log\big(x^m+1\big)}{x^2+1}\thinspace{\rm d}x, \end{equation*} where $m$ is a positive odd integer. When $m$ is a positive even integer, these integrals…

Gustavo Petro of Colombia expels Israeli diplomatic mission following the detention of Colombian flotilla participants in Israel's act of Piracy.
https://www.

Colombia | Petro anunció la expulsión de la delegación diplomática de Israel en el país tras la detención de connacionales que integraban la Flotilla Global Sumud rumbo a Gaza – NODAL
NODAL - Noticias de América Latina y el Caribe

The race is on to succeed Gavin Newsom,
the California governor with presidential ambitions
whose terms runs out next year
– and it’s already a crowded field.
More than 95 candidates have so far submitted paperwork
indicating their intention to run,
though the official filing period doesn’t start until 9 February.
The field looks wide open,
with polling yet to indicate a clear frontrunner
and nearly half of voters describing their prefere…

Taiwanese prosecutors charge Tokyo Electron for failing to prevent staff from allegedly stealing TSMC trade secrets, indicting the company on several counts (Bloomberg)
https://www.bloomberg.com/news/articles/2025-12-02/taiwan-charg…

Betting buzz: Ravens swing from favorite to underdog amid Jackson injury rumors https://www.espn.com/espn/betting/story/_/id/40159558/betting-buzz-latest-sports-betting-odds-updates-changes-line-moves-industry-…

"the [Chinese] plan removes #ElectricVehicles from the list of strategic emerging industries. That move has been misread by some commentators as a retreat. It is better seen as a milestone of maturity. When an industry no longer needs preferential support or policy protection, it has crossed from experiment to normalcy"

twitter: Twitter followers (2010)
A directed network of following relationships from Twitter, from a snowball sample crawl across "quality" users in 2009. A directed edge (i, j) indicates that user i follows user j.
This network has 465017 nodes and 834797 edges.
Tags: Social, Online, Unweighted
https://network…

Raiders' Smith says he's falling short after 3 INTs https://www.espn.com/nfl/story/_/id/46416997/geno-smith-says-falling-short-expectations-3-ints

QUOTE
“We gave them ample notice,” Hudgens said when asked about Alt5 Sigma’s claim it missed its
third-quarter deadline because of delays tied to its independent accountant.
Hudgens said his firm had conversations with possible successors
-- but he didn’t think Alt5 Sigma had engaged any of them.
As for when a company is late with filing a quarterly report, in general, he said,
“it usually indicates issues"

The indictment of former F.B.I. director, James B. Comey
was just two pages long and contained so little detail that it was hard for legal experts to assess its merits.
Some former government lawyers, as well as prominent Democrats, said the case appeared so flimsy that it was likely to fail.
Some Republicans also expressed concerns

Brief Comey Indictment Prompts Questions and Criticism
The two-page indictment of James B. Comey, the former F.B.I. director, offered little indication of the evidence that would be presented at a trial. Some legal experts called it flimsy and dangerous.