Recent work has established an alternative to traditional multi-layer perceptron neural networks in the form of Kolmogorov-Arnold Networks (KAN). The general KAN framework uses learnable activation ...

We study regular coverings of graphs and manifolds with a focus on properties of the heat equation. In particular, we look at stochastic incompleteness, the Feller property, and uniform transience, ...

ABSTRACT: The Total Coloring Conjecture (TCC) proposes that every simple graph G is (Δ + 2)-totally-colorable, where Δ is the maximum degree of G. For planar graph, TCC is open only in case Δ = 6. In ...

Now, when you want to solve a math equation and write it down, the Ink math assistant will jump into action and quickly plot an interactive graph to help you visualize those hard-to-understand math ...

Arithmetic sequences are a fundamental concept in mathematics that allows us to study ordered sets separated by a constant difference. They help us understand linear patterns in various real-world ...

Royalty-free licenses let you pay once to use copyrighted images and video clips in personal and commercial projects on an ongoing basis without requiring additional payments each time you use that ...

In this paper we propose a new formula to divide power series. We develop two versions of the formula: a recursive and a non-recursive one, the latter aiming to reduce the computational cost for ...

In this note, we will give the recursive formulas for sample mean and sample variance, and their generalized forms for batch updates. @online{yang2022batch, title ...