scholarly journals Some Recurrence Relations and Hilbert Series of Right-Angled Affine Artin Monoid M(D~n∞)

2018 ◽  
Vol 2018 ◽  
pp. 1-6
Author(s):  
Young Chel Kuwn ◽  
Zaffar Iqbal ◽  
Abdul Rauf Nizami ◽  
Mobeen Munir ◽  
Sana Riaz ◽  
...  
Keyword(s):  
Growth Rate ◽  
Recurrence Relation ◽  
Recurrence Relations ◽  
Hilbert Series ◽  
The Right

We find the Hilbert series of the right-angled affine Artin monoid M(D~n∞). We also discuss its recurrence relation and the growth rate.

scholarly journals Recurrence Relations and Hilbert Series of the Monoid Associated with Star Topology

2020 ◽  
Vol 2020 ◽  
pp. 1-6
Author(s):  
Jiang-Hua Tang ◽  
Zaffar Iqbal ◽  
Abdul Rauf Nizami ◽  
Mobeen Munir ◽  
Faiza Azam ◽  
...  
Keyword(s):  
Growth Rate ◽  
Recurrence Relation ◽  
Recurrence Relations ◽  
Hilbert Series ◽  
Computer Network ◽  
Star Topology ◽  
Star Network ◽  
Network Topologies ◽  
Discrete Analogues ◽  
Affine Type

Affine monoids are the considered as natural discrete analogues of the finitely generated cones. The interconnection between these two objects has been an active area of research since last decade. Star network is one of the most common in computer network topologies. In this work, we study star topology Sn and associate a Coxeter structure of affine type on it. We find a recurrence relation and the Hilbert series of the associated right-angled monoid MSn∞. We observe that the growth rate of the monoid MSn∞ is unbounded.

scholarly journals On right-angled spherical Artin monoid of type Dn

Open Physics ◽  
2018 ◽  
Vol 16 (1) ◽  
pp. 441-447
Author(s):  
Zaffar Iqbal ◽  
Abdul Rauf Nizami ◽  
Mobeen Munir ◽  
Amlish Rabia ◽  
Shin Min Kang
Keyword(s):  
Growth Rate ◽  
Recurrence Relations ◽  
Hilbert Series ◽  
The Right

Abstract Recently Berceanu and Iqbal proved that the growth rate of all the spherical Artin monoids is bounded above by 4. In this paper we compute the Hilbert series of the right-angled spherical Artin monoid $\begin{array}{} M({D}^{\infty}_{n}) \end{array} $ and graphically prove that growth rate is bounded by 4. We also discuss its recurrence relations and other main properties.

scholarly journals On hypergeometric generalized negative binomial distribution

2002 ◽  
Vol 29 (12) ◽  
pp. 727-736 ◽  
Author(s):  
M. E. Ghitany ◽  
S. A. Al-Awadhi ◽  
S. L. Kalla
Keyword(s):  
Recurrence Relation ◽  
Negative Binomial Distribution ◽  
Binomial Distribution ◽  
Field Data ◽  
Goodness Of Fit ◽  
Negative Binomial ◽  
Generalized Negative Binomial Distribution ◽  
The Right ◽  
Three Term Recurrence Relation

It is shown that the hypergeometric generalized negative binomial distribution has moments of all positive orders, is overdispersed, skewed to the right, and leptokurtic. Also, a three-term recurrence relation for computing probabilities from the considered distribution is given. Application of the distribution to entomological field data is given and its goodness-of-fit is demonstrated.

scholarly journals ELEMENTARY OSCILLATION CRITERIA FOR A THREE TERM RECURRENCE RELATION WITH OSCILLATORY COEFFICIENT SEQUENCE

1998 ◽  
Vol 29 (3) ◽  
pp. 227-232
Author(s):  
GUANG ZHANG ◽  
SUI-SUN CHENG
Keyword(s):  
Recurrence Relation ◽  
Recurrence Relations ◽  
Qualitative Properties ◽  
Oscillation Criteria ◽  
Three Term Recurrence Relation

Qualitative properties of recurrence relations with coefficients taking on both positive and negative values are difficult to obtain since mathematical tools are scarce. In this note we start from scratch and obtain a number of oscillation criteria for one such relation : $x_{n+1}-x_n+p_nx_{n-r}\le 0$.

scholarly journals On the quotient moment of lower generalized order statistics and characterization

2015 ◽  
Vol 11 (1) ◽  
pp. 73-89
Author(s):  
Devendra Kumar
Keyword(s):  
Order Statistics ◽  
Recurrence Relation ◽  
Conditional Expectation ◽  
General Class ◽  
Recurrence Relations ◽  
Generalized Order Statistics ◽  
Lower Records ◽  
Moments Of Order Statistics ◽  
Generalized Order

Abstract In this paper we consider general class of distribution. Recurrence relations satisfied by the quotient moments and conditional quotient moments of lower generalized order statistics for a general class of distribution are derived. Further the results are deduced for quotient moments of order statistics and lower records and characterization of this distribution by considering the recurrence relation of conditional expectation for general class of distribution satisfied by the quotient moment of the lower generalized order statistics.

scholarly journals Distinct partitions and overpartitions

2021 ◽  
Vol 38 (1) ◽  
pp. 149-158
Author(s):  
MIRCEA MERCA ◽  
Keyword(s):  
Partition Function ◽  
Recurrence Relation ◽  
Recurrence Relations ◽  
Convergent Series ◽  
The Other ◽  
Large Integer ◽  
Linear Recurrence ◽  
Fast Computation ◽  
Real Numbers ◽  
Very High

In 1963, Peter Hagis, Jr. provided a Hardy-Ramanujan-Rademacher-type convergent series that can be used to compute an isolated value of the partition function $Q(n)$ which counts partitions of $n$ into distinct parts. Computing $Q(n)$ by this method requires arithmetic with very high-precision approximate real numbers and it is complicated. In this paper, we investigate new connections between partitions into distinct parts and overpartitions and obtain a surprising recurrence relation for the number of partitions of $n$ into distinct parts. By particularization of this relation, we derive two different linear recurrence relations for the partition function $Q(n)$. One of them involves the thrice square numbers and the other involves the generalized octagonal numbers. The recurrence relation involving the thrice square numbers provide a simple and fast computation of the value of $Q(n)$. This method uses only (large) integer arithmetic and it is simpler to program. Infinite families of linear inequalities involving partitions into distinct parts and overpartitions are introduced in this context.

The geometric unfolding of recurrence relations

2020 ◽  
Vol 104 (561) ◽  
pp. 403-411
Author(s):  
Stan Dolan
Keyword(s):  
Recurrence Relation ◽  
Recurrence Relations ◽  
Initial Values ◽  
Almost All

In 1942 R. C. Lyness challenged readers of the Gazette to find a recurrence relation of order 2 which would generate a cycle of period 7 for almost all initial values [1].

scholarly journals URGENSI PENERAPAN CALESTIAL MANAGEMENT BAGI PENINGKATAN KUALITAS SDM PADA IKNB SYARIAH

2017 ◽  
Vol 22 (3) ◽  
Author(s):  
Trimulato Trimulato
Keyword(s):  
Growth Rate ◽  
Human Resources ◽  
Financial Industry ◽  
Average Growth Rate ◽  
Average Growth ◽  
Qualitative Descriptive ◽  
Good Improvement ◽  
The Right ◽  
Made In

The non-bank syariah financial industry (IKNB Syariah) in Indonesia continues to experience a very good improvement. The growth of IKNB Syariah is seen in the total assets of IKNB syariah in 2010, 9,333 billion rupiah, in year rose to 46,895 billion rupiah. With an average growth rate of 62.29%. Therefore, the development of IKNB syariah must be balanced with sufficient resources and quality. OJK efforts have been made in improving the quality of human resources in IKNB Syariah with two big strategies. This research uses a qualitative descriptive type, Limitation in this paper is focused on OJK efforts in improving the existing human resources IKNB syari'ah. The need for application of celestial management for human resources in IKNB syariah. The results of this paper that OJK has set two strategies in an effort to improve the quality of human resources in IKNB sharia. Then the need for application of celestial management for human resources in IKNB sharia to create good quality. Because IKNB sharia is a business institution that can not be separated from religious or spiritual aspect. So it requires the right concept in improving the quality of human resources it has.

scholarly journals Growth rate of thyroid gland in human fetus

2021 ◽  
Vol 6 (2) ◽  
pp. 4-7
Author(s):  
Nuriya I. Murtazina ◽  
Elena D. Lutsai ◽  
Sofya V. Ershova
Keyword(s):  
Growth Rate ◽  
Thyroid Gland ◽  
Age Groups ◽  
Fetal Life ◽  
Active Growth ◽  
Fetal Period ◽  
Group Iii ◽  
Group I ◽  
Right Lobe ◽  
The Right

Objectives to determine the thyroid gland growth rate in the intermediate fetal period of human ontogenesis. Material and methods. The thyroid glands of 60 male and female fetuses aged from 14 to 27 weeks were the subject of this research. The material was divided according to fetus age in three groups: Group I from 14 to 18 weeks, Group II from 19 to 22 weeks and Group III from 23 to 27 weeks. Results. The study revealed the increase in all dimensions of thyroid gland related to the increase of fetus age. During the intermediate fetal period of ontogenesis, the growth varied from 19% (for the anteroposterior isthmus size) to 59% (for the right lobe height). The thyroid gland growth rate for different sex groups varied between 24% and 60% in female fetuses, in male fetuses from 20% to 57%. Besides, the thyroid lobes and isthmus of female fetuses grew at a higher rate than those of the male fetuses. The uneven growth of the anatomical structure was also registered when comparing different age groups within the intermediate fetal period. The highest rate of thyroid gland growth was observed starting from the 22nd week of fetal life; until the 19th week the growth rate ranged between 7% (isthmus) and 25% (right lobe). The study of the thyroid gland growth rate in female and male fetuses in different age groups revealed identical tendencies involving the active growth of thyroid gland dimensions starting from the 22nd week.

scholarly journals New Tribonacci recurrence relations and addition formulas

2020 ◽  
Vol 26 (4) ◽  
pp. 164-172
Author(s):  
Kunle Adegoke ◽  
◽  
Adenike Olatinwo ◽  
Winning Oyekanmi ◽  
◽  
...  
Keyword(s):  
Recurrence Relation ◽  
Recurrence Relations ◽  
Simple Relation ◽  
Addition Formula ◽  
Lucas Numbers ◽  
Tribonacci Numbers ◽  
Three Term Recurrence Relation ◽  
Special Case ◽  
Addition Formulas

Only one three-term recurrence relation, namely, W_{r}=2W_{r-1}-W_{r-4}, is known for the generalized Tribonacci numbers, W_r, r\in Z, defined by W_{r}=W_{r-1}+W_{r-2}+W_{r-3} and W_{-r}=W_{-r+3}-W_{-r+2}-W_{-r+1}, where W_0, W_1 and W_2 are given, arbitrary integers, not all zero. Also, only one four-term addition formula is known for these numbers, which is W_{r + s} = T_{s - 1} W_{r - 1} + (T_{s - 1} + T_{s-2} )W_r + T_s W_{r + 1}, where ({T_r})_{r\in Z} is the Tribonacci sequence, a special case of the generalized Tribonacci sequence, with W_0 = T_0 = 0 and W_1 = W_2 = T_1 = T_2 = 1. In this paper we discover three new three-term recurrence relations and two identities from which a plethora of new addition formulas for the generalized Tribonacci numbers may be discovered. We obtain a simple relation connecting the Tribonacci numbers and the Tribonacci–Lucas numbers. Finally, we derive quadratic and cubic recurrence relations for the generalized Tribonacci numbers.

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