Zobrazeno 1 - 10
of 230
pro vyhledávání: '"Wu, Chai Wah"'
In an increasingly interconnected world, a key scientific challenge is to examine mechanisms that lead to the widespread propagation of contagions, such as misinformation and pathogens, and identify risk factors that can trigger large-scale outbreaks
Externí odkaz:
http://arxiv.org/abs/2409.17352
Autor:
Wu, Chai Wah
Finding the n-th positive square number is easy, as it is simply $n^2$. But how do we find the complementary sequence, i.e. the n-th positive nonsquare number? For this case there is an explicit formula. However, for general constraints on a number,
Externí odkaz:
http://arxiv.org/abs/2409.05844
Autor:
Wu, Chai Wah
We study the square of opposition and its various geometric generalizations from an algebraic viewpoint. In particular, we show how the various shapes of oppositions can be framed under an algebraic framework and we illustrate this approach with alge
Externí odkaz:
http://arxiv.org/abs/2408.00158
We devise a control-theoretic reinforcement learning approach to support direct learning of the optimal policy. We establish various theoretical properties of our approach, such as convergence and optimality of our control-theoretic operator, a new c
Externí odkaz:
http://arxiv.org/abs/2406.14753
Autor:
Wu, Chai Wah
Pandigital and penholodigital numbers are numbers that contain every digit or nonzero digit respectively. We study properties of pandigital or penholodigital numbers that are also squares or prime.
Comment: 6 pages, 1 table, corrected Conjecture
Comment: 6 pages, 1 table, corrected Conjecture
Externí odkaz:
http://arxiv.org/abs/2403.20304
Autor:
Wu, Chai Wah
In modern usage the Bernoulli numbers and polynomials follow Euler's approach and are defined using generating functions. We consider the functional equation $f(x)+x^k=f(x+1)$ and show that a solution can be derived from Faulhaber's formula for the s
Externí odkaz:
http://arxiv.org/abs/2403.00760
Autor:
Kalantzis, Vassilis, Squillante, Mark S., Ubaru, Shashanka, Gokmen, Tayfun, Wu, Chai Wah, Gupta, Anshul, Avron, Haim, Nowicki, Tomasz, Rasch, Malte, Onen, Murat, Marrero, Vanessa Lopez, Leobandung, Effendi, Kohda, Yasuteru, Haensch, Wilfried, Horesh, Lior
Numerical computation is essential to many areas of artificial intelligence (AI), whose computing demands continue to grow dramatically, yet their continued scaling is jeopardized by the slowdown in Moore's law. Multi-function multi-way analog (MFMWA
Externí odkaz:
http://arxiv.org/abs/2401.13754
Iterative refinement (IR) is a popular scheme for solving a linear system of equations based on gradually improving the accuracy of an initial approximation. Originally developed to improve upon the accuracy of Gaussian elimination, interest in IR ha
Externí odkaz:
http://arxiv.org/abs/2309.07865
Autor:
Wu, Brian, Wu, Chai Wah
Publikováno v:
Communications on Number Theory and Combinatorial Theory: Vol. 5 (2024), Article 1
Between the poker hands of straight, flush, and full house, which hand is more common? In standard 5-card poker, the order from most common to least common is straight, flush, full house. The same order is true for 7-card poker such as Texas hold'em.
Externí odkaz:
http://arxiv.org/abs/2309.00011
Autor:
Lastras, Luis A., Trager, Barry, Lenchner, Jonathan, Szpankowski, Wojtek, Wu, Chai Wah, Squillante, Mark, Gray, Alex
This article introduces a theory of communication that covers the following generic scenario: Alice knows more than Bob about a certain set of logic propositions and Alice and Bob wish to communicate as efficiently as possible with the shared goal th
Externí odkaz:
http://arxiv.org/abs/2301.10414