Results 61 to 70 of about 10,069,733 (332)
Solving quadratic equations over polynomial rings of characteristic two [PDF]
We are concerned with solving polynomial equations over rings. More precisely, given a commutative domain A with 1 and a polynomial equation an tn + ··· + a0 = 0 with coefficients ai in A, our problem is to find its roots in A. We show that when A = B[x]
Wheland, Ethel +12 more
core +1 more source
Extremal skew energy of digraphs with no even cycles [PDF]
Let $D$ be a digraph with skew-adjacency matrix $S(D)$. Then the skew energy of $D$ is defined to be the sum of the norms of all eigenvalues of $S(D)$. Denote by $mathcal{O}_n$ the class of digraphs on order $n$ with no even cycles, and by $mathcal{O ...
Jing Li, Xueliang Li, Huishu Lian
doaj
Structure–property relationships for solubility of monosaccharides
A series of difficulties make inaccessible precise experimental determinations of solubilities in standard conditions for monosaccharides; in water, the monosaccharides may switch from the acyclic to cyclic form and also the cyclic forms can undergo ...
Lorentz Jäntschi
doaj +1 more source
Semi-pointed partition posets [PDF]
We present here a family of posets which generalizes both partition and pointed partition posets. After a short description of these new posets, we show that they are Cohen-Macaulay, compute their Moebius numbers and their characteristic polynomials ...
Bérénice Delcroix-Oger
doaj +1 more source
Polynomial Poisson algebras: Gel'fand-Kirillov problem and Poisson spectra [PDF]
We study the fields of fractions and the Poisson spectra of polynomial Poisson algebras. First we investigate a Poisson birational equivalence problem for polynomial Poisson algebras over a field of arbitrary characteristic.
Lecoutre, César
core
ERα splice variant ERα∆7 lacks the C‐terminus, and its expression may change phenotypes of breast cancers. Our results showed that ERα∆7 is found in the luminal A subtype, and elevated ERα∆7 levels are linked to improved cell survival with lower proliferation and migration.
Long Wai Tsui +10 more
wiley +1 more source
Characteristic polynomials of some weighted graph bundles and its application to links
In this paper, we introduce weighted graph bundles and study their characteristic polynomial. In particular, we show that the characteristic polynomial of a weighted K2(K¯2)-bundles over a weighted graph G? can be expressed as a product of characteristic
Moo Young Sohn, Jaeun Lee
doaj +1 more source
A new approach to tridiagonal matrices related to the Sylvester–Kac matrix [PDF]
The Sylvester–Kac matrix, a well-known tridiagonal matrix, has been extensively studied for over a century, with various generalizations explored in the literature.
Efruz Özlem Mersin, Mustafa Bahşi
doaj +1 more source
Qualitative sign stability of linear time invariant descriptor systems
This article discusses assessing the instability of a continuous linear homogeneous timeinvariant descriptor system. Some necessary conditions and sufficient conditions are derived to establish the stability of a matrix pair by the fundamentals of ...
Madhusmita Chand +2 more
doaj +1 more source
A fast algorithm for computing the characteristic polynomial of the p-curvature [PDF]
We discuss theoretical and algorithmic questions related to the p-curvature of differential operators in characteristic p. Given such an operator L, and denoting by Ξ(L) the characteristic polynomial of its p-curvature, we first prove a new, alternative,
Alin Bostan, X. Caruso, É. Schost
semanticscholar +1 more source

