Results 51 to 60 of about 18,253 (276)

A Triple Inequality with Series and Improper Integrals [PDF]

, 2006
As a consequence of the Integral Test we find a triple inequality which bounds up and down both a series with respect to its corresponding improper integral, and reciprocally an improper integral with respect to its corresponding series.Comment: 4 ...
Smarandache, Florentin
core   +1 more source

A rigorous real time Feynman Path Integral and Propagator

, 2000
We will derive a rigorous real time propagator for the Non-relativistic Quantum Mechanic $L^2$ transition probability amplitude and for the Non-relativistic wave function.
Albeverio S, Blank J, Cameron R, Cutland N, Cycon H, Feynman R, Gelfand I M, Hurd A E, Ken Loo, Kleinert H, Nelson E, Prugovecki E, Reed M, Robinson A, Schulman L, Stroyan K, Zelditch S   +16 more
core   +1 more source

Decellularized Extracellular Matrix (dECM) in Tendon Regeneration: A Comprehensive Review

Advanced Healthcare Materials, EarlyView.
Decellularized Extracellular Matrix (dECM) offers a promising solution by replicating the native tendon microenvironment and promoting regeneration. This review highlights advances in the decellularization methods, as well as their integration with emerging technologies and translational progress in tendon tissue engineering.
Kumaresan Sakthiabirami, Yeonwoo Park, Seong Kyeong Jo, Min Hee Kim, Jae Hwang Song   +4 more
wiley   +1 more source

Henstock-Kurzweil integral on ${\rm BV}$ sets [PDF]

Mathematica Bohemica, 2016
The generalized Riemann integral of Pfeffer (1991) is defined on all bounded ${\rm BV$ subsets of $\mathbb R^n$, but it is additive only with respect to pairs of disjoint sets whose closures intersect in a set of $\sigma$-finite Hausdorff measure of ...
Jan Malý, Washek F. Pfeffer
doaj   +1 more source

Pattern Integration with Improper Riemann Integrals [PDF]

Proceedings of the American Mathematical Society, 1951
2. The improper integral defined as the limit of a sum. We first consider the case where ak = 1 (k =1, 2, 3, * * * ). A fundamental difficulty not encountered in the previous paper is apparent from the definition of .fof(x)dx. Bromwich and Hardy have considered this problem [2]. As they point out, the ordinary definition of this improper integral is by
openaire   +1 more source

Enhanced Endoscopic Internal Drainage of Gastric Abscess Through Additively Manufactured Stents

Advanced Healthcare Materials, EarlyView.
Postoperative gastric leaks are often treated with off‐label biliary double‐pigtail stents, yet conventional extruded designs are not optimized for leak anatomy, can migrate, and may limit abscess evacuation. PETALS is introduced to optimize transmural drainage geometry and enable patient‐specific 3D‐printable stents.
Parima Phowarasoontorn, Yongbin Ko, Juan S. Barajas‐Gamboa, Juan P. Pantoja, Oraib Al‐Ketan, Mohamed Ali, Sungyun Sohn, Heba Tageldeen Naser, Abdel‐Hameed Dabbour, Batoul Khlaifat, Ahmed AlZubaidi, Carlos Abril Vega, John Rodriguez, Matthew Kroh, Khalil B. Ramadi   +14 more
wiley   +1 more source

Some Discussions on a Kind of Improper Integrals

International Journal of Analysis and Applications, 2016
In the paper, the improper integral is discussed, some explicit formulas for special cases of I(a,b;λ,η) are presented, and several identities of I(a,b;k,η) for k ∈ N are established.
Feng Qi, Viera Cernanova
doaj   +2 more sources

Mesoporous Silica Nanoparticles in Biomedicine: Advances and Prospects

Advanced Materials, EarlyView.
Mesoporous silica nanoparticles offer unique properties like high surface area, tunable pores, and functionalization. They excel in drug delivery, tissue engineering, and stimuli‐responsive therapies, enabling targeted and controlled treatments. With roles in cancer therapy and diagnostics, their clinical translation requires addressing challenges in ...
Miguel Manzano, María Vallet‐Regí
wiley   +1 more source

Modeling of influence of stresses on indicators of resistance of mining rocks to mechanical destruction [PDF]

E3S Web of Conferences, 2019
The article deals with the problem of determining the expression for the components of the stress tensor of a rock mass that is exposed to rock-breaking tools.
Tynyna Serhii, Chobotko Ihor, Frolova Liliya, Butyrina Tetyana   +3 more
doaj   +1 more source

Dyadic Green's Functions and Guided Surface Waves for a Surface Conductivity Model of Graphene

, 2008
An exact solution is obtained for the electromagnetic field due to an electric current in the presence of a surface conductivity model of graphene. The graphene is represented by an infinitesimally-thin, local and isotropic two-sided conductivity surface.
Chew W. C., George W. Hanson, Ishimaru A., Saito R.   +3 more
core   +2 more sources