The Cheeger constant of a graph, or equivalently its coboundary expansion, quantifies the expansion of the graph. This notion assumes an implicit choice of a coefficient group, namely, $\mathbb{F}_2$. In this paper, we study Cheeger-type inequalities...
We don't seem to have a thread (exactly) on this yet. I played with the expansion last night and was surprised how seamless it fit into the game. (Though, I am never using this expansion when teaching...
Feb 19, 2025 · While adult palate expansion presents unique challenges, advancements in orthodontics now make it possible. In this post, weâll explore how palate expansion works for adults, what to â¦
In this research, we determine the structure of (claw, bull)-free graphs. We show that every connected (claw, bull)-free graph is either an expansion of a path, an expansion of a cycle, or the complement of a triangle-free graph; where an expansion o...
We prove the existence of the operator product expansion (OPE) in Euclidean Yang-Mills theories as a short-distance expansion, to all orders in perturbation theory. We furthermore show that the Ward identities of the underlying gauge theory are refle...
The perturbation theory expansion presented earlier to describe the phase-ordering kinetics in the case of a nonconserved scalar order parameter is generalized to the case of the $n$-vector model. At lowest order in this expansion, as in the scalar...
A consistent perturbation theory expansion is presented for phase-ordering kinetics in the case of a nonconserved scalar order parameter. At zeroth order in this expansion one obtains the theory due to Ohta, Jasnow and Kawasaki (OJK). At the next n...
A consistent perturbation theory expansion is presented for phase ordering kinetics in the case of a nonconserved scalar order parameter. At lowest order in this formal expansion one obtains the theory due to Ohta, Jasnow and Kawasaki (OJK). At nex...
We study sheaves on posets, showing that cosystolic expansion of such sheaves can be derived from local expansion conditions of the sheaf and the poset (typically a high dimensional expander). When the poset at hand is a cell complex, a sheaf on it m...
For this project, the Collab team worked with Studio CKA to provide conceptual designs for the Town of Silverthorne Recreation Center Expansion.
Hi guys, I just bought the Platinum Expansion from Giants directly because I would like to support a partner, but.... I was hoping to receive an activation key, instead I was redirect to [https://esh...
Mar 27, 2019 · I know the proof using binomial expansion and then by monotone convergence theorem. But i want to collect some other proofs without using the binomial expansion. *if you could provide …
This is a challenging era thanks to the expansion within the field of technology and also the demand we face today. Hence examinations play an important role in testing students’ performance. which is why it's important to possess a wise development question model for the expansi…
Mar 23, 2022 · McDonald's Corporation MCD is focused on international expansion, loyalty program and digitalization to drive performance. The company is benefiting from robust comps growth.
Feb 13, 2026 · Future Outlook: Expansion and Digital Dominance Looking ahead to the remainder of 2026, McDonald’s has no plans to decelerate. The company issued aggressive expansion guidance, …
We introduce the error-sum function of Pierce expansions. Some basic properties of the error-sum function are analyzed. We also examine the fractal property of the graph of it by calculating the Hausdorff dimension, the box-counting dimension, and th...
In this paper, we investigate the convergence exponent of Pierce expansion digit sequences. We explore some basic properties of the convergence exponent as a real-valued function defined on the closed unit interval, as well as those of the level sets...
We predict theoretically the nondiffractive propagation of sonic waves in periodic acoustic media (sonic crystals), by expansion into a set of plane waves (Bloch mode expansion), and by finite difference time domain calculations of finite beams. We...
We design a Teaching laboratory experience for blind students, to measure the linear thermal expansion coefficient of an object. We use an open-source electronic prototyping platform to create interactive electronic objects, with the conversion of vi...
In this short article we propose a full large $N$ asymptotic expansion of the probability that the $m^{\text{th}}$ power of a random unitary matrix of size $N$ has all its eigenvalues in a given arc-interval centered in $1$ when $N$ is large. This co...