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This note investigates the average density of prime numbers $p\in[x,2x]$ with respect to a random simultaneous primitive root $g\leq p^{1/2+\varepsilon}$ over the finite rings $\mathbb{Z}/p\mathbb{Z}$ and $\mathbb{Z}/p^2\mathbb{Z}$ as $x \to \infty$....
There is a growing literature on teenage and young adult users' attitudes toward and concerns about online privacy, yet little is known about older adults and their unique experiences. As older adults join the digital world in growing numbers, we nee...
In this note, we consider arbitrary finite-dimensional real algebras containing a copy of complex numbers. It is proved that matrices with entries from an arbitrary finite-dimensional real algebra containing a square root of negative one in its left...
Quantitative separation logic (QSL) is an extension of separation logic (SL) for the verification of probabilistic pointer programs. In QSL, formulae evaluate to real numbers instead of truth values, e.g., the probability of memory-safe termination i...
The concept of $k$-compatibility measures how many phylogenetic trees it would take to display all splits in a given set. A set of trees that display every single possible split is termed a \textit{universal tree set}. In this note, we find $A(n)$, t...
functions have domain of all real numbers, with return (response) value commonly monotonically increasing but could be decreasing. Sigmoid functions most
Zotero plugin for auto-fetching numbers of citations from Google Scholar (⭐ 601)
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Nov 17, 2009 · Trump's job approval has hit a low of 37% among the American people. His disapproval rating has creeped up to 60%, which is two points worse than Biden's...
Jun 23, 2019 · Even Rasmussen, Trump’s favorite pollster, is dropping brutal Trump numbers. A huge margin of voters now say Biden was the better president compared to Trump (48% to 40%). And this …
Mar 19, 2015 · The Bureau of Labor Statistics (BLS) under Joe Biden overestimated the number of jobs added by 1.5 million, according to a pro-Trump economist. Controversy erupted this month after …
Mar 28, 2024 · Women-founded startups accounted for 2% or less of venture capital (VC) funding invested in Europe and the United States in 2023, Pitchbook data finds. But by VC deal numbers, …
Dec 23, 2025 · Here's a look at the four blood pressure categories and what they mean for you. If your top and bottom numbers fall into two different categories, your correct blood pressure category is the …
Graph pebbling is a game played on graphs with pebbles on their vertices. A pebbling move removes two pebbles from one vertex and places one pebble on an adjacent vertex. The pebbling number $π(G)$ is the smallest $t$ so that from any initial config...
Arbitrary-precision fixed-point decimal numbers in Go (⭐ 7256)
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