scholarly journals Some equinumerous pattern-avoiding classes of permutations

2005 ◽  
Vol Vol. 7 ◽  
Author(s):  
M. D. Atkinson
Keyword(s):  
Recurrence Relation ◽  
Subject Classification ◽  
International Audience ◽  
2000 Mathematics Subject Classification

International audience Suppose that p,q,r,s are non-negative integers with m=p+q+r+s. The class X(p,q,r,s) of permutations that contain no pattern of the form α β γ where |α |=r, |γ |=s and β is any arrangement of \1,2,\ldots,p\∪ \m-q+1, m-q+2, \ldots,m\ is considered. A recurrence relation to enumerate the permutations of X(p,q,r,s) is established. The method of proof also shows that X(p,q,r,s)=X(p,q,1,0)X(1,0,r,s) in the sense of permutational composition.\par 2000 MATHEMATICS SUBJECT CLASSIFICATION: 05A05

scholarly journals On -Quasi Irresolute Functions

2017 ◽  
Vol 1 (2) ◽  
pp. 72-77
Author(s):  
C. Janaki ◽  
Ganes M. Pandya
Keyword(s):  
Subject Classification ◽  
New Class ◽  
2000 Mathematics Subject Classification ◽  
The Relationship ◽  
Class Of Functions

In this paper we introduce a new class of functions called -quasi irresolute functions. The notion of -quasi graphs are introduced and the relationship between -quasi irresolute functions and -quasi closed graphs is analysed. 2000 Mathematics Subject Classification : 54C08, 54C10.

scholarly journals FINITE CONJUGACY IN ALGEBRAS AND ORDERS

2001 ◽  
Vol 44 (1) ◽  
pp. 201-213 ◽  
Author(s):  
M. A. Dokuchaev ◽  
S. O. Juriaans ◽  
C. Polcino Milies ◽  
M. L. Sobral Singer
Keyword(s):  
Conjugacy Class ◽  
Division Ring ◽  
Multiplicative Group ◽  
Central Element ◽  
Subject Classification ◽  
Group Rings ◽  
2000 Mathematics Subject Classification ◽  
Primary 16U60 ◽  
Finite Conjugacy

AbstractHerstein showed that the conjugacy class of a non-central element in the multiplicative group of a division ring is infinite. We prove similar results for units in algebras and orders and give applications to group rings.AMS 2000 Mathematics subject classification: Primary 16U60. Secondary 16H05; 16S34; 20F24; 20C05

scholarly journals Ideal convergence in n-normal spaces and some new sequence spaces via n-norm

2014 ◽  
Vol 4 (1) ◽  
Author(s):  
Mehmet Gürdal ◽  
Ahmet Sahiner
Keyword(s):  
Sequence Spaces ◽  
Subject Classification ◽  
Matrix Transformations ◽  
Normed Spaces ◽  
Primary 40A05 ◽  
Ideal Convergence ◽  
Secondary 46A70 ◽  
2000 Mathematics Subject Classification

In this paper we introduced some new sequence spaces using n-normed spaces and gave some preliminary result for matrix transformations between some sequence spaces. 2000 Mathematics Subject Classification. Primary 40A05, 40A45; Secondary 46A70.

scholarly journals Fractional derivatives of Colombeau generalized stochastic processes defined on R+

2011 ◽  
Vol 5 (2) ◽  
pp. 283-297 ◽  
Author(s):  
Danijela Rajter-Ciric
Keyword(s):  
Stochastic Process ◽  
Cauchy Problem ◽  
Stochastic Processes ◽  
Fractional Derivatives ◽  
Subject Classification ◽  
2000 Mathematics Subject Classification ◽  
Derivatives Of

We consider Caputo and Riemann-Liouville fractional derivatives of a Colombeau generalized stochastic process G defined on R+. We give proper definitions and prove that both are Colombeau generalized stochastic processes themselves. We also give a solution to a certain Cauchy problem illustrating the application of the theory. 2000 Mathematics Subject Classification: 46F30, 60G20, 60H10, 26A33

scholarly journals Polynomials related to harmonic numbers and evaluation of harmonic number series II

2011 ◽  
Vol 5 (2) ◽  
pp. 212-229 ◽  
Author(s):  
Ayhan Dil ◽  
Veli Kurt
Keyword(s):  
Subject Classification ◽  
Harmonic Number ◽  
Harmonic Numbers ◽  
Number Series ◽  
Exponential Polynomials ◽  
2000 Mathematics Subject Classification

In this paper we focus on r-geometric polynomials, r-exponential polynomials and their harmonic versions. It is shown that harmonic versions of these polynomials and their generalizations are useful to obtain closed forms of some series related to harmonic numbers. 2000 Mathematics Subject Classification. 11B73, 11B75, 11B83.

The Proof of Strong Markov Property Based on one Definition

2015 ◽  
Vol 742 ◽  
pp. 419-428
Author(s):  
Rong Tang ◽  
Yi Xuan Dong
Keyword(s):  
Markov Process ◽  
Markov Property ◽  
Subject Classification ◽  
Strong Markov Property ◽  
Homogeneous Markov Process ◽  
Primary 60J25 ◽  
Strong Markov Process ◽  
2000 Mathematics Subject Classification ◽  
Strong Markov

In this paper, for countable homogeneous Markov process, we prove strong Markov property defining by [2] are valid. So for an arbitrary countable homogeneous Markov process is a strong Markov process.2000 Mathematics Subject Classification. Primary 60J25, 60J27.

scholarly journals CALCULATION OF ELLIPSE CIRCUMFERENCE AS A CYLINDRICAL SECTION

2021 ◽  
pp. 146-153
Author(s):  
Seyed Babak Moosavi-Toomatari ◽  
Seyedeh Zahra Karimi-Sarabi
Keyword(s):  
Simple Formula ◽  
Subject Classification ◽  
Cylindrical Section ◽  
2000 Mathematics Subject Classification

In this article, ellipse is studied as cylindrical section and a simple formula is presented to calculate the circumference of an ellipse approximately. 2000 Mathematics Subject Classification: 51N25

scholarly journals Riordan matrices and sums of harmonic numbers

2011 ◽  
Vol 5 (2) ◽  
pp. 176-200 ◽  
Author(s):  
Emanuele Munarini
Keyword(s):  
Stirling Numbers ◽  
Catalan Numbers ◽  
Subject Classification ◽  
Harmonic Numbers ◽  
Lucas Numbers ◽  
Primary 05A15 ◽  
Secondary 05A10 ◽  
General Identity ◽  
2000 Mathematics Subject Classification ◽  
Fibonacci And Lucas Numbers

We obtain a general identity involving the row-sums of a Riordan matrix and the harmonic numbers. From this identity, we deduce several particular identities involving numbers of combinatorial interest, such as generalized Fibonacci and Lucas numbers, Catalan numbers, binomial and trinomial coefficients, Stirling numbers. 2000 Mathematics Subject Classification: Primary: 05A15; Secondary: 05A10.

Sebuah Generalisasi Baru Barisan Fibonacci-Lucas

2019 ◽  
Vol 2 (2) ◽  
Author(s):  
Musraini M Musraini M ◽  
Rustam Efendi ◽  
Rolan Pane ◽  
Endang Lily
Keyword(s):  
Recurrence Relation ◽  
Initial Conditions ◽  
Lucas Sequence ◽  
Binet’S Formula

Barisan Fibonacci dan Lucas telah digeneralisasi dalam banyak cara, beberapa dengan mempertahankan kondisi awal, dan lainnya dengan mempertahankan relasi rekurensi. Makalah ini menyajikan sebuah generalisasi baru barisan Fibonacci-Lucas yang didefinisikan oleh relasi rekurensi B_n=B_(n-1)+B_(n-2),n≥2 , B_0=2b,B_1=s dengan b dan s bilangan bulat  tak negatif. Selanjutnya, beberapa identitas dihasilkan dan diturunkan menggunakan formula Binet dan metode sederhana lainnya. Juga dibahas beberapa identitas dalam bentuk determinan.   The Fibonacci and Lucas sequence has been generalized in many ways, some by preserving the initial conditions, and others by preserving the recurrence relation. In this paper, a new generalization of Fibonacci-Lucas sequence is introduced and defined by the recurrence relation B_n=B_(n-1)+B_(n-2),n≥2, with ,  B_0=2b,B_1=s                          where b and s are non negative integers. Further, some identities are generated and derived by Binet’s formula and other simple methods. Also some determinant identities are discussed.

Somethin’ about Scandinavia: Danish Shorts on the Post-war International Scene

2018 ◽  
Author(s):  
C. Claire Thomson
Keyword(s):  
United Nations ◽  
International Collaboration ◽  
Marshall Plan ◽  
The Third ◽  
Animated Film ◽  
International Audience ◽  
Post War ◽  
Nordic Cooperation

Building on the picture of post-war Anglo-Danish documentary collaboration established in the previous chapter, this chapter examines three cases of international collaboration in which Dansk Kulturfilm and Ministeriernes Filmudvalg were involved in the late 1940s and 1950s. They Guide You Across (Ingolf Boisen, 1949) was commissioned to showcase Scandinavian cooperation in the realm of aviation (SAS) and was adopted by the newly-established United Nations Film Board. The complexities of this film’s production, funding and distribution are illustrative of the activities of the UN Film Board in its first years of operation. The second case study considers Alle mine Skibe (All My Ships, Theodor Christensen, 1951) as an example of a film commissioned and funded under the auspices of the Marshall Plan. This US initiative sponsored informational films across Europe, emphasising national solutions to post-war reconstruction. The third case study, Bent Barfod’s animated film Noget om Norden (Somethin’ about Scandinavia, 1956) explains Nordic cooperation for an international audience, but ironically exposed some gaps in inter-Nordic collaboration in the realm of film.

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