We study finite-dimensional representations of hyper loop algebras over non-algebraically closed fields. The main results concern the classification of the irreducible representations, the construction of the Weyl modules, base change, tensor produ...
Hyper-Kamiokande is the next generation underground water Cherenkov detector that builds on the highly successful Super-Kamiokande experiment. The detector which has an 8.4~times larger effective volume than its predecessor will be located along the...
We prove that the restricted normal holonomy group of a Kähler submanifold of the complex hyperbolic space $\mathbb{C}H^{n}$ is always transitive, provided the index of relative nullity is zero. This contrasts with the case of $\mathbb{C}P^{n}$, whe...
mathematics, hyperbolic geometry (also called Lobachevskian geometry or Bolyai–Lobachevskian geometry) is a non-Euclidean geometry. The parallel postulate
Jan 31, 2026 · The <a> (anchor) tag creates hyperlinks, using the href attribute to specify the destination URL. It can link text, images, or buttons for navigation. Links can open in the same tab or a new tab …
Links are found in nearly all web pages. Links allow users to click their way from page to page. HTML links are hyperlinks. You can click on a link and jump to another document. When you move the …
testing. Epidermal hyperplasia (thickening resulting from cell proliferation) has various forms: Acanthosis is diffuse epidermal hyperplasia (thickening of
Hyperplasia is defined as an increase in the number of individual cells in a tissue, which may or may not be accompanied by an increase in cell size. It represents cellular proliferation that exceeds normal …
Nov 20, 2025 · Hyperplasia is characterized by an increase in the rate of cell division, causing tissue growth through the creation of more cells. This mechanism is only possible in cell populations …
Hyperplasia is a non-cancerous condition characterized by an increased number of cells within a tissue or organ. This increase in cell number can cause the affected tissue to grow larger or thicker. …
Feb 16, 2023 · Endometrial hyperplasia is a condition where the lining of your uterus is abnormally thick. It causes heavy menstrual bleeding. Some types may lead to cancer.
In the game of Cops and Robbers, the capture time of a graph is the minimum number of moves needed by the cops to capture the robber, assuming optimal play. We prove that the capture time of the $n$-dimensional hypercube is $Θ(n\ln n).$ Our methods...
Pulmonary arterial hypertension (PAH) is a progressive cardiopulmonary disease that leads to increased pulmonary pressures, vascular remodeling, and eventual right ventricular (RV) failure. Pediatric PAH remains understudied due to limited data and t...
Men often dread even the idea of having a prostate check. But because enlarged prostate, or benign prostatic hyperplasia (BPH), is a common condition that affects men as they age, it's important to …
Jan 13, 2026 · Benign prostatic hyperplasia causes your prostate to grow. Learn about the symptoms, how your doctor will test for it, and what treatments might work for you.
Jan 18, 2024 · Benign prostatic hyperplasia causes your prostate to grow. Symptoms include difficulty peeing and sudden urges to pee. Treatment includes medication and surgery.
Dec 23, 2025 · Benign prostatic hyperplasia (BPH) is a health issue that becomes more common with age. It's also called an enlarged prostate. The prostate is a small gland that helps make semen. It's …
If a hyperbolic link has a prime alternating diagram D, then we show that the link complement's volume can be estimated directly from D. We define a very elementary invariant of the diagram D, its twist number t(D), and show that the volume lies be...
Besides the well known Wiener index, which sums up the distances between all the pairs of vertices, and the hyper-Wiener index, which includes also the squares of distances, the edge versions of both indices attracted a lot of attention in the recent...
Physics at DAFNE, the new Frascati e+e- machine, is reviewed, as well as the esperiments: DEAR - search for KN exotic atoms, FINUDA - spectroscopy and decays of hypernuclei, and KLOE - a multipurpose detector designed for measuring direct CP violat...
We present an improved Fredholm theory of non-elliptic operators for when the corresponding classical dynamical system exhibits normally hyperbolic trapping with smooth backward and forward trapped sets. It takes place on coisotropic Sobolev spaces w...
We study the holographic entanglement entropy for singular surfaces in theories described holographically by hyperscaling violating backgrounds. We consider singular surfaces consisting of cones or creases in diverse dimensions. The structure of UV d...
Counting the number of small patterns is a central task in network analysis. While this problem is well studied for graphs, many real-world datasets are naturally modeled as hypergraphs, motivating the need for efficient hypergraph motif counting alg...
During intensive/comparative studies with Preston's spectroscopic works (1961, 1962, 1964 & 1965) on RR Lyrae atmospheric phenomena, I unexpectedly found the existence of hypersonic shock waves (Chadid 1996 & 2008), that are strongly connected with t...
We present here a formula for expressing the trace of the Frobenius endomorphism of an elliptic curve $E$ over $\mathbb{F}_q$ satisfying $j(E)\neq 0,1728$ and $q\equiv 1 \pmod{12}$ in terms of special values of Gaussian hypergeometric series. This...
We define Leavitt path algebras of hypergraphs generalizing simultaneously Leavitt path algebras of finitely separated graphs and Leavitt path algebras of row-finite vertex-weighted graphs. We find linear bases for those algebras, compute their Gelfa...
We consider natural polynomial truncations of hypergeometric power series defined over finite fields. For these truncations, we establish asymptotic upper bounds of order $O(p^{11/12})$ on the number of roots in the prime field $\mathbb{F}_p$. We dis...
We use the Invariance Principle of Avila and Viana to prove that every partially hyperbolic symplectic diffeomorphism with 2-dimensional center bundle, and satisfying certain pinching and bunching conditions, can be $C^r$-approximated by non-uniforml...
We prove the analogue of Viehweg's hyperbolicity conjecture for Whitney equisingular families of projective varieties with Gorenstein rational singularities whose geometric generic fiber has a good minimal model. Namely, for such families with maxima...
In this paper, we propose an Adaptive Realized Hyperbolic GARCH (A-Realized HYGARCH) process to model the long memory of high-frequency time series with possible structural breaks. The structural change is modeled by allowing the intercept to follow...
We solve the existence problem for $F$-designs for arbitrary $r$-uniform hypergraphs $F$. In particular, this shows that, given any $r$-uniform hypergraph $F$, the trivially necessary divisibility conditions are sufficient to guarantee a decompositio...
The Tokai Intermediate Tank with Unoscillated Spectrum (TITUS) detector is a proposed addition to the Hyper-Kamiokande (HK) experiment located approximately 2 km from the J-PARC neutrino beam. The design consists of a 2 kton Gadolinium (Gd) doped wat...
This paper presents the Extended-Soft-Core (ESC) potentials ESC08c for baryon-baryon channels with total strangeness S=-2. The potential models for S=-2 are based on SU(3) extensions of ESC potential models for the S=0 and S=-1 sectors, which are fit...