Results 61 to 70 of about 108,525 (194)

On the Sparing Number of the Edge-Corona of Graphs

, 2015
Let $\mathbb{N}_0$ be the set of all non-negative integers and $\mathcal{P}(\mathbb{N}_0)$ be its the power set. An integer additive set-indexer (IASI) of a graph $G$ is an injective function $f:V(G)\to \mathcal{P}(\mathbb{N}_0)$ such that the induced ...
Chithra, K. P., Germina, K. A., Sudev, N. K.   +2 more
core   +2 more sources

Injectable laminin-functionalized hydrogel for nucleus pulposus regeneration [PDF]

Biomaterials, 2013
Cell delivery to the pathological intervertebral disc (IVD) has significant therapeutic potential for enhancing IVD regeneration. The development of injectable biomaterials that retain delivered cells, promote cell survival, and maintain or promote an NP cell phenotype in vivo remains a significant challenge. Previous studies have demonstrated NP cell -
Francisco, Aubrey T, Mancino, Robert J, Bowles, Robby D, Brunger, Jonathan M, Tainter, David M, Chen, Yi-Te, Richardson, William J, Guilak, Farshid, Setton, Lori A   +8 more
openaire   +2 more sources

On the mapping xy→(xy)n in an associative ring

International Journal of Mathematics and Mathematical Sciences, 2004
We consider the following condition (*) on an associative ring R:(*). There exists a function f from R into R such that f is a group homomorphism of (R,+), f is injective on R2, and f(xy)=(xy)n(x,y) for some positive integer n(x,y)>1. Commutativity and
Scott J. Beslin, Awad Iskander
doaj   +1 more source

Local properties of Boolean functions I: injectivity

Discrete Mathematics, 1975
AbstractThis work inaugurates a cycle of papers based on the following common idea. Given a property P(f) which is defined for Boolean functions ƒ: Bn→B, introduce and study a suitable “local” property p(ƒ, X) depending both on the function ƒ and on a point X∈Bn in such a way that for every Boolean function ƒ, property P(ƒ) is true if and only if p(ƒ ...
openaire   +2 more sources

Weak Integer Additive Set-Indexers of Certain Graph Products [PDF]

, 2014
An integer additive set-indexer is defined as an injective function $f:V(G)\rightarrow 2^{\mathbb{N}_0}$ such that the induced function $g_f:E(G) \rightarrow 2^{\mathbb{N}_0}$ defined by $g_f (uv) = f(u)+ f(v)$ is also injective, where $f(u)+f(v)$ is the
Germina, K A, Sudev, N K
core   +2 more sources

Periarticular Injection in Knee Arthroplasty Improves Quadriceps Function [PDF]

Clinical Orthopaedics & Related Research, 2013
The postoperative analgesic potential of periarticular anesthetic infiltration (PAI) after TKA is unclear as are the complications of continuous femoral nerve block on quadriceps function.We asked (1) whether PAI provides equal or improved postoperative pain control in comparison to a femoral nerve block in patients who have undergone TKA; and (2) if ...
Arnaud, Chaumeron, Daniel, Audy, Pierre, Drolet, Martin, Lavigne, Pascal-André, Vendittoli   +4 more
openaire   +2 more sources

Central Limit Theorem for Random “Contractive” Functions on Interval

Annales Mathematicae Silesianae
We use the approach from Czudek and Szarek (see [1]) to prove the central limit theorem for a stationary Markov chain generated by an iterative function system for a family of increasing, injective functions on [0, 1] with “contractive” properties.
Block Maciej, Kacprzak Wiktoria, Falęcki Dorian   +2 more
doaj   +1 more source

Edge δ− Graceful Labeling for Some Cyclic-Related Graphs

Advances in Mathematical Physics, 2020
In this paper, we introduce a new type of labeling of a graph G with p vertices and q edges called edge δ− graceful labeling, for any positive integer δ, as a bijective mapping f of the edge set EG into the set δ,2δ,3δ,⋯,qδ such that the induced mapping ...
Mohamed R. Zeen El Deen
doaj   +1 more source

On the Sparing Number of Certain Graph Structures [PDF]

, 2014
An integer additive set-indexer is defined as an injective function $f:V(G)\rightarrow 2^{\mathbb{N}_0}$ such that the induced function $g_f:E(G) \rightarrow 2^{\mathbb{N}_0}$ defined by $g_f (uv) = f(u)+ f(v)$ is also injective.
Germina, K A, Sudev, N K
core   +2 more sources

p-representable operators in Banach spaces

International Journal of Mathematics and Mathematical Sciences, 1986
Let E and F be Banach spaces. An operator T∈L(E,F) is called p-representable if there exists a finite measure μ on the unit ball, B(E*), of E* and a function g∈Lq(μ,F), 1p+1q=1, such thatTx=∫B(E*)〈x,x*〉g(x*)dμ(x*)for all x∈E.
Roshdi Khalil
doaj   +1 more source