• 제목/요약/키워드: sums

검색결과 594건 처리시간 0.023초

A NEW FAMILY OF FUBINI TYPE NUMBERS AND POLYNOMIALS ASSOCIATED WITH APOSTOL-BERNOULLI NUMBERS AND POLYNOMIALS

  • Kilar, Neslihan;Simsek, Yilmaz
    • 대한수학회지
    • /
    • 제54권5호
    • /
    • pp.1605-1621
    • /
    • 2017
  • The purpose of this paper is to construct a new family of the special numbers which are related to the Fubini type numbers and the other well-known special numbers such as the Apostol-Bernoulli numbers, the Frobenius-Euler numbers and the Stirling numbers. We investigate some fundamental properties of these numbers and polynomials. By using generating functions and their functional equations, we derive various formulas and relations related to these numbers and polynomials. In order to compute the values of these numbers and polynomials, we give their recurrence relations. We give combinatorial sums including the Fubini type numbers and the others. Moreover, we give remarks and observation on these numbers and polynomials.

CHARACTERIZING ALMOST PERFECT RINGS BY COVERS AND ENVELOPES

  • Fuchs, Laszlo
    • 대한수학회지
    • /
    • 제57권1호
    • /
    • pp.131-144
    • /
    • 2020
  • Characterizations of almost perfect domains by certain covers and envelopes, due to Bazzoni-Salce [7] and Bazzoni [4], are generalized to almost perfect commutative rings (with zero-divisors). These rings were introduced recently by Fuchs-Salce [14], showing that the new rings share numerous properties of the domain case. In this note, it is proved that admitting strongly flat covers characterizes the almost perfect rings within the class of commutative rings (Theorem 3.7). Also, the existence of projective dimension 1 covers characterizes the same class of rings within the class of commutative rings admitting the cotorsion pair (𝒫1, 𝒟) (Theorem 4.1). Similar characterization is proved concerning the existence of divisible envelopes for h-local rings in the same class (Theorem 5.3). In addition, Bazzoni's characterization via direct sums of weak-injective modules [4] is extended to all commutative rings (Theorem 6.4). Several ideas of the proofs known for integral domains are adapted to rings with zero-divisors.

주민자치조직의 구성원에 관한 연구 -청주지역의 주민자치위원회를 중심으로- (A Study on the Members of Citizen Autonomy Organization - A case of Citizen Autonomy Committee in Cheongju Area -)

  • 원세용
    • 한국농촌건축학회논문집
    • /
    • 제9권1호
    • /
    • pp.35-42
    • /
    • 2007
  • This study is the research of occupation distribution about citizen members of autonomy organization in Cheongju area. Investigation of autonomy organization members acting as local readers makes it possible to understand direction for community promotion. Result of this study sums up two type occupational categories. First, in urban area independently managers is above participation ratio in public affairs appeared. On the other hand, ratio of private organization, employee, and experts are low. In rural area, it shows the participation ratio of functional representatives and farmers highly. Second, with investigation of detailed occupation, most independent contractors and such as architecture, real-estate, whole and retail sales, restaurant, nursery, and private educational institute. And small number of insurance, news paper, car sales, gas station mangers participate in autonomy organization. Private organization consist of educational organization, social welfare corporate and district head council, as well as some teachers and farmers.

  • PDF

패턴인식을 위한 일반화된 이차신경망 구현 (An Implementation of Generalized Second-Order Neural Networks for Pattern Recognition)

  • 이봉규;양요한
    • 대한전기학회논문지:시스템및제어부문D
    • /
    • 제51권10호
    • /
    • pp.446-452
    • /
    • 2002
  • For most of pattern recognition applications, it is required to correctly recognize patterns even if they have translation variations. In this paper, to achieve the goal of translation invariant pattern recognition, we propose a new generalized translation invariant second-order neural network using a constraint on the weights. The weight constraint is implemented using generalized translation invariant features which are accumulated sums of pixel combinations. Simulation results will be given to demonstrate that the proposed second-order neural network has the generalized translation invariant property.

345kv XLPE절연 케이블의 장기 신뢰성 평가 (Pre-qualification Test on 345kv XLPE Cable and Accessories)

  • 김종원;유인기;김영;이기수;최봉남;윤덕환
    • 대한전기학회:학술대회논문집
    • /
    • 대한전기학회 2002년도 하계학술대회 논문집 C
    • /
    • pp.1727-1729
    • /
    • 2002
  • To cope with increasing of electric power demand in metropolitan areas, large capacity underground power cables are needed. Under such situations, our company has developed 345kV XLPE insulated cable and accessories. As the final step of development of the 345kV XLPE cable and accessories, the pre-qualification test was carried out on the test line composed of cables, pre-fabricated joints, EB-Gs and EB-As. This paper sums up the pre-qualification test conditions and the results.

  • PDF

Two Sequential Wilcoxon Tests for Scale Alternatives

  • Mishra, Prafulla-Chandra
    • Journal of the Korean Statistical Society
    • /
    • 제30권4호
    • /
    • pp.679-691
    • /
    • 2001
  • Two truncated sequential tests are developed for the two-sample scale problem based on the usual Wilcoxon rank-sum statistic for two different dispersion indices - absolute median deviations, when the medians of the two populations X and Y are equal or known and sums of squared mean deviations, when the medians are either unknown or unequal. The first test is briefly called SWAMD test and the second SWSMD test. For the SWAMD test, the percentile points for both the one-sided and two-sided alternatives, (equation omitted) have been found by Wiener approximation and their values computed for a range of values of a and N; analytical expression for the power function has been derived through Wiener process and its performance studied for various sequential designs for exponential distribution. This test has been illustrated by a numerical example. All the results of the SWAMD test, being directly applicable to the SWSMD test, are not dealt with separately Both the tests are compared and their suitable applications indicated.

  • PDF

고속열차(TGV) 주행시 연변에서의 소음예측 및 방음시설설계 (Noise Prediction and Design of Soundproof Facilities for the High Speed Train)

  • 나희승
    • 소음진동
    • /
    • 제9권6호
    • /
    • pp.1106-1115
    • /
    • 1999
  • This paper sums up the study of the soundproof facilities (noise barriers) to be placed on the test track section within the Seoul-Pusan H.S.T. project. The objective of this study is to determine optimum design of soundproof including height, length, location, sound absorbing materials for test track(chonan-taejon). This paper shows the model to design the shape and materials of noise barrier for high speed trains(TGV, ICE, ect). The design of soundproof facilities is to be conducted by MITHRA for the prediction of noise impact of the TGV and for optimising noise barriers in order to reduce the noise generated by high speed trains. A number of computer simulations are carried out in order to determine the specification of noise barrier on test track.

  • PDF

음성합성을 위한 분절음 길이예측 모델링

  • 정현성
    • 대한음성언어의학회:학술대회논문집
    • /
    • 대한음성언어의학회 2003년도 제19회 학술대회
    • /
    • pp.236-236
    • /
    • 2003
  • 음성합성을 위한 운율연구는 실험음성학과 음성공학 분야에서 활발히 이루어져 왔고, 가시적인 성과도 거두어 왔다. 최근 운율의 자연성을 향상시키기 위한 노력은 corpus-based unit selection에서와 같이, 대단위 음성자료에 의존하게 되면서 급격한 자연성의 향상을 가져온 것이 사실이지만, 여전히 새로 주어진 자료에 대해서 부자연스러운 운율을 극복해야 한다는 과제를 안고 있다. 이 논문은 길이, 억양, 에너지 등의 운율요소 가운데, 우선적으로 분절음의 길이에 초점을 두고, 대규모 음성자료를 바탕으로 한 자료기반형 길이예측모델을 지양하고 언어학적 지식과 언어자질을 이용한 지식기반형 길이예측모델을 제시하고자 한다. 모델링을 위한 방법으로는, 기본적으로 자료기반형 모델링 기법이지만 언어자질을 이용한 길이예측이 가능한 Classification and Regression Tree (CART) 모델링과 전통적인 지식기반형 모델링인 sequential rule systems을 확대시킨 Sums-of-Products 모델링을 사용한다. (중략)

  • PDF

On a Stopping Rule for the Random Walks with Time Stationary Random Distribution Function

  • Hong, Dug-Hun;Oh, Kwang-Sik;Park, Hee-Joo
    • Journal of the Korean Statistical Society
    • /
    • 제24권2호
    • /
    • pp.293-301
    • /
    • 1995
  • Sums of independent random variables $S_n = X_1 + \cdots + X_n$ are considered, where the $X_n$ are chosen according to a stationary process of distributions. For $c > 0$, let $t_c$ be the smallest positive integer n such that $$\mid$S_n$\mid$ > cn^{\frac{1}{2}}$. In this set up we are concerned with finiteness of expectation of $t_c$ and we have some results of sign-invariant process as applications.

  • PDF

Vertex Antimagic Total Labeling of Digraphs

  • PANDIMADEVI, J.;SUBBIAH, S.P.
    • Kyungpook Mathematical Journal
    • /
    • 제55권2호
    • /
    • pp.267-277
    • /
    • 2015
  • In this paper we investigate the properties of (a, d)-vertex antimagic total labeling of a digraph D = (V, A). In this labeling, we assign to the vertices and arcs the consecutive integers from 1 to |V|+|A| and calculate the sum of labels at each vertex, i.e., the vertex label added to the labels on its out arcs. These sums form an arithmetical progression with initial term a and common difference d. We show the existence and non-existence of (a, d)-vertex antimagic total labeling for several class of digraphs, and show how to construct labelings for generalized de Bruijn digraphs. We conclude this paper with an open problem suitable for further research.