Results 21 to 30 of about 233 (151)
Annals of Probability, 1982 Multi-parameter martingales and amarts can be studied using methods developed for amarts defined on a directed set by A. Millet and L. Sucheston. To study an amart indexed by $\mathbb{N} \times \mathbb{N}$, we use an associated process indexed by the "lower layers" of $\mathbb{N} \times \mathbb{N}$. J. B.
exaly +3 more sources
Amarts Indexed by Directed Sets
Annals of Probability, 1978 We prove that an amart indexed by a directed set decomposes into a martingale and an amart which converges to zero in $L_1$ norm. The main theorem asserts that the underlying family of $\sigma$-algebras satisfies the Vitali condition if and only if every $L_1$ bounded amart essentially converges.
exaly +4 more sources
A refinement of the Riesz decomposition for amarts and semiamarts
Journal of Multivariate Analysis, 1978 AbstractA real-valued adapted sequence of random variables is an amart if and only if it can be written as a sum of a martingale and a sequence dominated in absolute value by a Doob potential, i.e., a positive supermartingale that converges to 0 in L1. The same holds for vector-valued uniform amarts with the norm replacing the absolute value.
Ghoussoub, Nassif, Sucheston, Louis
openaire +2 more sources
Design and implementation of a wireless CAN module for marine engines using ZigBee protocol
IET Communications, Volume 17, Issue 13, Page 1541-1552, August 2023., 2023 In this research, a wireless control area network (CAN bus) protocol is designed and implemented for communication between the sensors on a diesel engine and the engine control unit (ECU). The XBee module, which uses the ZigBee (IEEE 802.15.4) technology was used in the design and implementation of the wireless CAN prototype.
Akpojoto Siemuri +5 more
wiley +1 more source
A REVIEW OF POLYMER-BASED MATERIALS USED IN BIOMATERIALS FOR MEDICAL APPLICATIONS
Journal of Engineering and Sustainable Development, 2022 The research provides a concise overview of numerous biomedical and biomechanics uses for polymer-based materials in medical applications. Polymer-based materials are used to repair or enhance the functionality of tissues or organs damaged or disjointed ...
Harith H. Al-Moameri +2 more
doaj +1 more source
ON (sub- super) asymptotic martingales
Tikrit Journal of Pure Science, 2020 In this paper we intoduce a new class of definitions (sub - super) asymptotic martingale through the concept of asymptotic martingale. we investigate and prove some properties of asymptotic martingale and (sub - super) asymptotic martingale .
Hassan H- Ebrahem, Juwan Abbas-Ali
doaj +1 more source
Mapping students’ cognitive load profiles in solving geometric integral problems [PDF]
European Journal of STEM EducationDesigning cognitively accessible mathematics instruction requires ensuring that learners can equitably process, understand, and apply complex mathematical ideas.
Muhammad Muzaini +4 more
doaj +1 more source
A Secure Operational Model for Mobile Payments
The Scientific World Journal, Volume 2014, Issue 1, 2014., 2014 Instead of paying by cash, check, or credit cards, customers can now also use their mobile devices to pay for a wide range of services and both digital and physical goods. However, customers’ security concerns are a major barrier to the broad adoption and use of mobile payments.
Tao-Ku Chang, Jung-Fa Tsai
wiley +1 more source
, 2022 The aim of the present study was to investigate the effects of recombinant human (rh)BMP-9 on bone regenerative potential in a mouse model of antibody-mediated antiresorptive therapy (AMART).
Saulacic, Nikola +5 more
core +1 more source
Extremal points without compactness in L1(μ)
Journal of Function Spaces, Volume 5, Issue 2, Page 199-211, 2007., 2007 We investigate the existence of extremal points and the Krein‐MIlman representation A=co̅ExtA of bounded convex subsets of L1(μ) which are only closed with respect to the topology of μ‐a.e. convergence.
Anna Martellotti, Jürgen Appell
wiley +1 more source