We find conditions under which the P-positions of three subtraction games arise as pairs of complementary Beatty sequences. The first game is due to Fraenkel and the second is an extension of the first game to non-monotone settings. We show that the...
We prove an upper bound for the least prime in an irrational Beatty sequence. This result may be compared with Linnik's theorem on the least prime in an arithmetic progression....
Let $α>1$ be an irrational number. We establish asymptotic formulas for the number of partitions of $n$ into summands and distinct summands, chosen from the Beatty sequence $(\lfloorαm\rfloor)_{m\in\mathbb{N}}$. This improves some results of Erdös...
In this paper, we study the gaps between primes in Beatty sequences following the methods in the recent breakthrough of J. Maynard....
An asymptotic formula is given for the number of y-smooth numbers up to x in a Beatty sequence corresponding to an irrational number of finite type....
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Beatport". www.beatport.com. Retrieved 2017-10-24. Tony, Cummings (June 16, 2017). "Lecrae & Tori Kelly: Making powerful music on "I'll Find You" single"
Irish whiskey (Irish: Fuisce or uisce beatha) is whiskey made on the island of Ireland. The word 'whiskey' (or whisky) comes from the Irish uisce beatha
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Oct 21, 2023 · Hoop Dawgs beat NC state 80-72 in Secret Scrimmage Posted on 10/21/23 at 10:35 pm NinjadawgZ Member since Mar 2023
The intersection between poetry and music provides an interesting case for computational creativity, yet remains relatively unexplored. This paper explores the integration of poetry and music through the lens of beat patterns, investigating whether a...
Daniels reminds me a bit of Lamar. Shifty, hard to tackle, good arm and quick. We should have beaten the Commies and find the worst ways to lose as a beaten down organization. If this doesn’t wa...
Oct 21, 2023 · Hoop Dawgs beat NC state 80-72 in Secret Scrimmage Posted on 10/21/23 at 10:35 pm NinjadawgZ Member since Mar 2023
Rap generation, which aims to produce lyrics and corresponding singing beats, needs to model both rhymes and rhythms. Previous works for rap generation focused on rhyming lyrics but ignored rhythmic beats, which are important for rap performance. In...
In this paper, the Beatty multiple shift is introduced, which is a generalization of the multiplicative shift of finite type (multiple SFT) [Kenyon, Peres and Solomyak, Ergodic Theory and Dynamical Systems, 2012] and the affine multiple shift [Ban, H...
[? SAY IT LOUD FOR THE PEOPLE IN THE BACK ? #NewYorkForever ](https://twitter.com/hornets/status/1115978099953491968?s=21) The Hornets need to beat the Magic tonight and have the Knicks beat ...
Beatrice, Dante’s cherished love, symbolizes divine wisdom. In the Divine Comedy, she ultimately assumes Virgil’s role as Dante’s guide. In canto 2 of Inferno, Virgil shares how Beatrice ...
Electrocardiogram signals are omnipresent in medicine. A vital aspect in the analysis of this data is the identification and classification of heart beat types which is often done through automated algorithms. Advancements in neural networks and deep...