Results 51 to 60 of about 48,912 (312)

ENDOMORPHISM CONGRUENCES

Demonstratio Mathematica, 1995
The notion of endomorphism congruence considered in this paper has a close connection with the notion of result. To say most generally, results are fractions such that their numerators are elements of a certain linear space while their denominators are injective endomorphisms of that space.
openaire   +2 more sources

Treatment Decision‐Making Roles and Preferences Among Adolescents and Young Adults With Cancer

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Background Decision‐making (DM) dynamics between adolescents and young adults (AYAs) with cancer, parents, and oncologists remain underexplored in diverse populations. We examined cancer treatment DM preferences among an ethnically and socioeconomically diverse group of AYAs and their parents.
Amanda M. Gutierrez, Jill O. Robinson, Wendy A. Allen‐Rhoades, Hadley S. Smith, Isabel Canfield, Rebecca L. Hsu, Sarah R. Scollon, Lauren R. Desrosiers‐Battu, Nicole M. Schneider, Frank Y. Lin, Donald Williams Parsons, Sharon E. Plon, Mary A. Majumder, Janet Malek, Amy L. McGuire   +14 more
wiley   +1 more source

LDAcoop: Integrating non‐linear population dynamics into the analysis of clonogenic growth in vitro

Molecular Oncology, EarlyView.
Limiting dilution assays (LDAs) quantify clonogenic growth by seeding serial dilutions of cells and scoring wells for colony formation. The fraction of negative wells is plotted against cells seeded and analyzed using the non‐linear modeling of LDAcoop.
Nikko Brix, Daniel Samaga, Katharina Gehr, Benedek Dankó, Mohamed Schumann, Guido Drexler, Ahmed Alnatsha, Georg Beyer, Ujjwal Mahajan, Martin Selmansberger, Julia Mayerle, Claus Belka, Horst Zitzelsberger, Kirsten Lauber   +13 more
wiley   +1 more source

P-Algebras

Axioms
Following the notions of Ω-set and Ω-algebra where Ω is a complete lattice, we introduce P-algebras, replacing the lattice Ω by a poset P. A P-algebra is a classical algebraic structure in which the usual equality is replaced by a P-valued equivalence ...
Elijah Eghosa Edeghagba, Branimir Šešelja, Andreja Tepavčević   +2 more
doaj   +1 more source

Discrete asymptotic nets and W-congruences in Plucker line geometry

, 2000
The asymptotic lattices and their transformations are studied within the line geometry approach. It is shown that the discrete asymptotic nets are represented by isotropic congruences in the Plucker quadric.
Adam Doliwa, Bobenko, Bogdanov, Doliwa, Doliwa, Doliwa, Doliwa, Doliwa, Doliwa, Ernst, Ganzha, Hirota, Hirota, Klein, Konopelchenko, Konopelchenko, Krichever, Lelieuvre, Levi, Levi, Mañas, Moutard, Nimmo, Plebański, Plücker, Schief   +25 more
core   +1 more source

Congruences and group congruences on a semigroup [PDF]

Semigroup Forum, 2012
Let \(S\) be a semigroup and \(E\) be the set of idempotents of \(S\). A subsemigroup \(N\) of \(S\) is called normal if it is full (i.e., \(E\subseteq S\)), dense (i.e., \((\forall s\in S)(\exists x,y\in S)(sx,ys\in N)\)), reflexive (i.e., \((\forall a,b\in S)(ab\in N\Rightarrow ba\in N)\)) and closed in \(S\) (i.e., \(N\omega=N\), where \(N\omega=\{s\
openaire   +2 more sources

Shared Genetic Effects and Antagonistic Pleiotropy Between Multiple Sclerosis and Common Cancers

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Epidemiologic studies have reported inconsistent altered cancer risk in individuals with multiple sclerosis (MS). Factors such as immune dysregulation, comorbidities, and disease‐modifying therapies may contribute to this variability.
Asli Buyukkurt, Marius Ygonia, Ali Manouchehrinia, Philippe Lefrançois, Ingrid Kockum, Adil Harroud   +5 more
wiley   +1 more source

New Congruences Modulo 2, 4, and 8 for the Number of Tagged Parts Over the Partitions with Designated Summands

, 2018
Recently, Lin introduced two new partition functions PD$_t(n)$ and PDO$_t(n)$, which count the total number of tagged parts over all partitions of $n$ with designated summands and the total number of tagged parts over all partitions of $n$ with ...
Baruah, Nayandeep Deka, Kaur, Mandeep
core   +1 more source

Cubic congruences.

Michigan Mathematical Journal, 1957
Es wird bewiesen, daß jede Kongruenz \(\sum_{i=1}^n \alpha_ix_i^3\equiv 0 \pmod {\mathfrak m}\), wobei die \(\alpha_i\) ganze Zahlen eines Ringes algebraischer Zahlen sind und \(\mathfrak m\) ein Ideal dieses Ringes ist, für \(n\geq 7\) eine nichttriviale Lösung in ganzen Zahlen dieses Ringes besitzt; ferner, daß dies für ...
openaire   +2 more sources

The Renal Activity Index for Lupus Identifies Active Renal Disease and Treatment Response in Adult Patients With Systemic Lupus Erythematosus and Lupus Nephritis

Arthritis Care &Research, EarlyView.
Objective We evaluated the ability of the Renal Activity Index for Lupus (RAIL) to discriminate active lupus nephritis (LN) in adult patients with active systemic lupus erythematosus (SLE) and differentiate LN treatment response. Methods Urine samples from adults with biopsy‐proven active class III and IV LN from TULIP‐LN (active LN group ...
Hermine I. Brunner, Ellen M. Cody, Prasad Devarajan, Bin Huang, Chen Chen, Dominic Sinibaldi, Madhu Ramaswamy, Jacob Knagenhjelm, Frederick Jones, Philip Z. Brohawn, Raj Tummala, Catharina Lindholm, Wendy I. White   +12 more
wiley   +1 more source