Abstract: In this paper, we first explore the underlying mathematical structure of edge subsets on a finite directed acyclic graph in using a lattice-theoretic approach. We prove that a collection of ...

The Supreme Court Monday issued notice on a plea seeking an independent and expeditious investigation into the June 12, 2025, crash of an Air India Boeing Dreamliner in Ahmedabad, which killed 260 ...

The Amazon sale 2025 offers some heavy discounts on the flagship Xiaomi 15 and Xiaomi 14 Civi. Moreover, customers can also get amazing discounts on Redmi smartphones during the sale period. This, ...

Xiaomi went ahead and announced its Redmi 13 series in China earlier today. The series consists of three members - Redmi Note 13, Note 13 Pro and the top dog Note 13 Pro+ which we’ll cover in more ...

Customers can take advantage of discounts of up to 45 percent on the Redmi Note 14 series, Redmi 15, and other smartphones. The company's QLED TVs will receive up to 55 percent price cuts. Meanwhile, ...

Instamart’s Quick India Movement Sale kicks off on September 19, and today we are looking at phones aimed at buyers who don’t want to spend more than ₹15,000. With devices starting at just over ₹6,000 ...

The Redmi K80 launched in November of last year, and so we are definitely getting closer to its successor's arrival. In fact, today the K90 might have been certified by 3C in China, with the model ...

Large language models (LLMs) are more accurate when they output intermediate steps. A strategy called reinforcement can teach them to do this without being told. The researchers introduced a paradigm ...

When attempting to open Files 4.0 on Windows 10, the application closes immediately. This occurs with the paid stable version. The issue appears to be related to the ...

File "/usr/local/python3.11.13/lib/python3.11/site-packages/torch/_ops.py", line 1158, in _ca (V11mWorker TP0 pid=973) ERROR 09-10 09:46:59 [multiproc_executor.py:596 ...

South Africa’s energy regulator apologized for a 54 billion-rand ($3.1 billion) error in calculating electricity tariffs, a mistake that will be passed on to ...

Qatar would have been forgiven for thinking it was immune from Israeli attack. The tiny Gulf state is a key US ally that welcomed President Donald Trump just four months ago; red carpets were laid, ...