Neutral shallow donors in zinc oxide (ZnO) are spin qubits with optical access via the donor-bound exciton. This spin-photon interface enables applications in quantum networking, memories and transduction. Essential optical parameters which impact th...
This letter summarizes and proves the concept of bounded-input bounded-state (BIBS) stability for weight convergence of a broad family of in-parameter-linear nonlinear neural architectures as it generally applies to a broad family of incremental grad...
We study the lower bounds and upper bounds for LS-category and equivariant LS-category. In particular we compute both invariants for torus manifolds. There are some examples to show the sharpness of conditions in the theorems. Moreover the equivarian...
We show the existence of cones over 8-dimensional rational spheres at the boundary of the Mori cone of the blow-up of the plane at $s\geq 13$ very general points. This gives evidence for De Fernex's strong $Δ$-conjecture, which is known to imply Nag...
Let $A\subset \mathbf{N}$ be a finite set of $n=|A|$ positive integers, and consider the cosine sum $f_A(x)=\sum_{a\in A}\cos ax$. We prove that $$\min_x f_A(x)\leqslant -n^{ 1/7-o(1)},$$ thereby establishing polynomial bounds for the Chowla cosine p...
We are a couple who recently moved from Berlin. My wife is an exhibitionist and has always dressed really revealing in Berlin clubs. How naked is too naked for bound? Is bare nipples with a harness fi...
(often used in plural) A boundary, the border which one must cross in order to enter or leave a territory. I reached the northern bound of my property, took a deep breath and walked on. Somewhere within …
Jan 20, 2026 · bound (third-person singular simple present bounds, present participle bounding, simple past and past participle bounded) (transitive) To surround a territory or other geographical entity; to …
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Nash equilibrium is employed to find a game theoretic robust security bound on quantum bit error rate (QBER) for DL04 protocol which is a scheme for quantum secure direct communication that has been experimentally realized recently. The receiver, sen...
The aim of this paper is to investigate the boundedness of periodic Fourier integral operators in Lebesgue spaces with variable exponent $L^{p(\cdot)}$ on the $n$-dimensional torus. We deal with operators of type $(ρ, δ)$ which symbols belong to th...
to place under obligation or compulsion (usually used passively): We are bound by good sense to obey the country's laws. Law to put under legal obligation, as to keep the peace or appear as a witness …
(often used in plural) A boundary, the border which one must cross in order to enter or leave a territory. I reached the northern bound of my property, took a deep breath and walked on. Somewhere within …
Jan 20, 2026 · bound (third-person singular simple present bounds, present participle bounding, simple past and past participle bounded) (transitive) To surround a territory or other geographical entity; to …
Definition of bound adjective in Oxford Advanced Learner's Dictionary. Meaning, pronunciation, picture, example sentences, grammar, usage notes, synonyms and more.
If you say that something is bound to happen or be true, you feel confident and certain of it, although you have no definite knowledge or evidence.
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The adjective form 'bounding' developed from the verb and began to embody not just physical limitation but also a metaphorical sense of energetic movement or expression, reflecting the dynamic nature of …
Oct 8, 2025 · Adjective bounding (not comparable) (geometry) Containing all points of a given set within it.
bounding definition: leaping or jumping with energy. Check meanings, examples, usage tips, pronunciation, domains, related words.
Information and translations of bounding in the most comprehensive dictionary definitions resource on the web.
bounding - WordReference English dictionary, questions, discussion and forums. All Free.
BOUNDING definition: in bonds or chains; tied with or as if with a rope | Meaning, pronunciation, translations and examples
A bounding mine is an anti-personnel mine designed to be used in open areas. When it is tripped, a small propelling charge launches the body of the mine
Define bounding. bounding synonyms, bounding pronunciation, bounding translation, English dictionary definition of bounding. intr.v. bound·ed , bound·ing , bounds 1. To leap forward or upward; jump; …
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The meaning of BOUND is fastened by or as if by a band : confined —often used in combination. How to use bound in a sentence.
For an associative ring $R$, the projective level of a complex $F$ is the smallest number of mapping cones needed to build $F$ from projective $R$-modules. We establish lower bounds for the projective level of $F$ in terms of the vanishing of homolog...
We consider multi-armed bandit problems in social groups wherein each individual has bounded memory and shares the common goal of learning the best arm/option. We say an individual learns the best option if eventually (as $t \to \infty$) it pulls onl...
[CVPR 2018] Look at Boundary: A Boundary-Aware Face Alignment Algorithm (⭐ 1021)
We perturbatively determine O($a$) boundary improvement coefficients at 1-loop for the Schrödinger Functional coupling with improved gauge actions. These coefficients are required to implement the 1-loop O($a$) improvement in full QCD simulations...
Let f be a transcendental meromorphic function. Suppose that the finite part of the postsingular set of f is bounded, that f has no recurrent critical points or wandering domains, and that the degree of pre-poles of f is uniformly bounded. Then we sh...
We analyse and clarify the finite-size scaling of the weakly-coupled hierarchical $n$-component $|\varphi|^4$ model for all integers $n \ge 1$ in all dimensions $d\ge 4$, for both free and periodic boundary conditions. For $d>4$, we prove that for a...
We obtain precise plateau estimates for the two-point function of the finite-volume weakly-coupled hierarchical $|\varphi|^4$ model in dimensions $d \ge 4$, for both free and periodic boundary conditions, and for any number $n \ge 1$ of components of...
Based on the eigenvalue idea and the time-varying weighted vector norm in state space we construct here the lower and upper bounds on the solutions of uniformly asymptotically stable linear systems. We generalize the known results for the linear time...
Bousso's entropy bound for two-dimensional gravity is investigated in the lightcone gauge. It is shown that due to the Weyl anomaly, the null component of the energy-momentum tensor takes a nonvanishing value, and thus, combined with the conditions...
All existing transformer-based approaches to NLP using subword tokenisation algorithms encode whitespace (word boundary information) through the use of special space symbols (such as \#\# or \_) forming part of tokens. These symbols have been shown t...
The purpose of this note is to point out that McDonald's criticism of our work \cite{r1} is based on a circular argument. In order to show that the field of a bounded source falls off as $f(θ,φ)/r$ in the far zone, McDonald uses a Huygens-Kirchho...
The convergence of solutions of the incompressible Navier-Stokes equations set in a domain with boundary to solutions of the Euler equations in the large Reynolds number limit is a challenging open problem both in 2 and 3 space dimensions. In particu...
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