# Slowly Oscillating Continuity

## Related Articles

- On Certain Theta Function Identities Analogous to Ramanujan's P-Q Eta Function Identities. Vasuki, Kaliyur R.; Kahtan, Abdulrawf Abdulrahman Abdullah // Applied Mathematics;Jul2011, Vol. 2 Issue 7, p874
The purpose of this paper is to provide direct proofs of certain theta function identities analogous to Ramanujan's P-Q eta functions identities.

- ON REGULARLY VARYING MOMENTS FOR POWER SERIES DISTRIBUTIONS. Simić, Slavko // Publications de l'Institut Mathematique;2006, Issue 94, p253
For the power series distribution, generated by an entire function of finite order, we obtain the asymptotic behavior of its regularly varying moments. Namely, we prove that EwXÎ±â„“(X) âˆ¼ (EwX)Î±â„“(EwX), Î± > 0 (w â†’ âˆž), where â„“(âˆ™) is an arbitrary...

- Inserted perturbations generating asymptotical integrability. Karasev, M.; Novikova, E. // Mathematical Notes;Nov2014, Vol. 96 Issue 5/6, p965
We discuss the general opportunity to create (asymptotically) a completely integrable system from the original perturbed system by inserting additional perturbing terms. After such an artificial insertion, there appears an opportunity to make the secondary averaging and secondary reduction of...

- Some Results on the Composition of Singular Distributions. Kılıçman, Adem; Fisher, Brian // Applied Mathematics & Information Sciences;2011, Vol. 5 Issue 3, p623
Let F be a distribution in D' and let f be a locally summable function. The neutrix composition F(f(x)) of F and f is said to exist and equal to the distribution h(x) if the neutrix limit of the sequence {Fn (f(x))} is equal to h(x), where Fn (x) = F(x) * Î´n (x) for n = 1, 2,â€¦and {Î´n...

- Invariant and Absolute Invariant Means of Double Sequences. Alotaibi, Abdullah; Mursaleen, M.; Alghamdi, M. A. // Journal of Function Spaces & Applications;2012, p1
We examine some properties of the invariant mean, define the concepts of strong Ïƒ-convergence and absolute Ïƒ-convergence for double sequences, and determine the associated sublinear functionals. We also define the absolute invariant mean through which the space of absolutely...

- Minimal and almost minimal reaction systems. Salomaa, Arto // Natural Computing;Sep2013, Vol. 12 Issue 3, p369
In reaction systems introduced by Ehrenfeucht and Rozenberg the number of resources is, by definition, at least 2. If it is exactly 2, the system is referred to as minimal. We compare minimal reaction systems with almost minimal ones, where the number of resources equals 3. The difference turns...

- On the Seneta Sequences. Djurčić, Dragan; Torgašev, Aleksandar // Acta Mathematica Sinica;May2006, Vol. 22 Issue 3, p689
In this paper, we prove some properties of the Seneta sequences and functions, and in particular we prove a representation theorem in the Karamata sense for the sequences from the Seneta class SOc.

- USING A SEQUENCE OF NUMBER PAIRS AS AN EXAMPLE IN TEACHING MATHEMATICS. Mauch, Elizabeth; Yixun Shi // Mathematics & Computer Education;Fall2005, Vol. 39 Issue 3, p198
This article presents ways on using the sequence of number pairs as an example in teaching mathematics. While teaching number sequences and their patterns in an elementary or middle school class, a teacher may use the following sequence of number pairs as an example: (2,3), (5,7), (12,17),...

- Tell Me Who I Am: An Interactive Recommendation System. Alon, Noga; Awerbuch, Baruch; Azar, Yossi; Patt-Shamir, Boaz // Theory of Computing Systems;Aug2009, Vol. 45 Issue 2, p261
We consider a model of recommendation systems, where each member from a given set of players has a binary preference to each element in a given set of objects: intuitively, each player either likes or dislikes each object. However, the players do not know their preferences. To find his...