Search results for "online"

Blow-up collocation solutions of nonlinear homogeneous Volterra integral equations

2011

In this paper, collocation methods are used for detecting blow-up solutions of nonlinear homogeneous Volterra-Hammerstein integral equations. To do this, we introduce the concept of "blow-up collocation solution" and analyze numerically some blow-up time estimates using collocation methods in particular examples where previous results about existence and uniqueness can be applied. Finally, we discuss the relationships between necessary conditions for blow-up of collocation solutions and exact solutions.

A Generalised RBF Finite Difference Approach to Solve Nonlinear Heat Conduction Problems on Unstructured Datasets

2011

Radial Basis Functions have traditionally been used to provide a continuous interpolation of scattered data sets. However, this interpolation also allows for the reconstruction of partial derivatives throughout the solution field, which can then be used to drive the solution of a partial differential equation. Since the interpolation takes place on a scattered dataset with no local connectivity, the solution is essentially meshless. RBF-based methods have been successfully used to solve a wide variety of PDEs in this fashion. Such full-domain RBF methods are highly flexible and can exhibit spectral convergence rates Madych & Nelson (1990). However, in their traditional implementation the fu…

Super-Exponential Size Advantage of Quantum Finite Automata with Mixed States

2008

Quantum finite automata with mixed states are proved to be super-exponentially more concise rather than quantum finite automata with pure states. It was proved earlier by A.Ambainis and R.Freivalds that quantum finite automata with pure states can have exponentially smaller number of states than deterministic finite automata recognizing the same language. There was a never published "folk theorem" proving that quantum finite automata with mixed states are no more than super-exponentially more concise than deterministic finite automata. It was not known whether the super-exponential advantage of quantum automata is really achievable. We use a novel proof technique based on Kolmogorov complex…

A non-linear Bishop–Phelps–BollobÁs type theorem

2018

h analogue of Newton's binomial formula

1998

In this letter, the $h$--analogue of Newton's binomial formula is obtained in the $h$--deformed quantum plane which does not have any $q$--analogue. For $h=0$, this is just the usual one as it should be. Furthermore, the binomial coefficients reduce to $\frac{n!}{(n-k)!}$ for $h=1$. \\ Some properties of the $h$--binomial coefficients are also given. \\ Finally, I hope that such results will contribute to an introduction of the $h$--analogue of the well--known functions, $h$--special functions and $h$--deformed analysis.

Doubly nonlinear equations with unbounded operators

2004

Abstract The solvability of the evolution system v′(t)+ B (t)u(t)∋ f (t),v(t)∈ A (t)u(t) , 0 A (t) are bounded, possibly degenerate, subdifferentials and B (t) are unbounded subdifferentials.

A Criterion for Attaining the Welch Bounds with Applications for Mutually Unbiased Bases

2008

The paper gives a short introduction to mutually unbiased bases and the Welch bounds and demonstrates that the latter is a good technical tool to explore the former. In particular, a criterion for a system of vectors to satisfy the Welch bounds with equality is given and applied for the case of MUBs. This yields a necessary and sufficient condition on a set of orthonormal bases to form a complete system of MUBs. This condition takes an especially elegant form in the case of homogeneous systems of MUBs. We express some known constructions of MUBs in this form. Also it is shown how recently obtained results binding MUBs and some combinatorial structures (such as perfect nonlinear functions an…

Case of Monopolies at Stake

2005

In this chapter, our purpose is to illustrate the complexity of the outcomes of technological change and the concerns of regulators in the European gambling markets. In 2002, the Finnish Betting and Tipping Company, Veikkaus, estimated, that Finns’ Internet gambling decreased its turnover of betting by 10%. Such leakage is a reason why politicians in different states are considering imposing restrictions of online gambling to other parties of the gambling process, such as Internet service providers, banks, and credit card companies. On the other hand, one possible way to caulk the leakage could be to improve the returns of the players, but this has an adverse effect on the social and politi…

Strategies of Eliciting Young People’s Affective and Quick Participation in a Youth Magazine’s Instagram Community

2022

Traditional media have merged with social media and pursue to produce engaging content and form relationships with online audiences. At the same time, social media has allowed young people a venue to practice their basic needs of interaction, identity, and self-expression, and provides communities of shared issues and social/political aspirations. By analysing the Instagram post caption data of the largest Finnish (girls’) youth magazine, this case study investigated what posting strategies used by the magazine elicited youth participation, and how do the strategies and participation align with young people’s media and online communication preferences. The study found the magazine to use va…

Practice and assessment of oral skills in developing online preparatory materials through the InGenio authoring shell

2012

The practice of oral skills is a basic requirement of learning or teaching a new language, as one of the main goals in the field of language learning is developing oral communicative competence, especially needed in contexts where the students¿ L2 is the vehicular language and therefore the main means of interaction. The InGenio online authoring tool allows designers of new materials, as well as language teachers and students, to rethink and imagine new ways of dealing with practice and assessment of listening and speaking skills thanks to the flexibility of its templates, resources and tools. This article explores the ways in which the InGenio utilities, solutions and learning materials ar…