• Title/Summary/Keyword: Strongly

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Strong-max cyclic submodules

  • Chin-Hong Park
    • Journal of the Korean Mathematical Society
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    • v.35 no.1
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    • pp.1-9
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    • 1998
  • In this paper we define CR(completely reachable), MICR(minimal cyclic refinement) and MACR(maximal cyclic refinement)-Modules. We have obtained equivalent statements for minimal cyclic submodule and maximal cyclic submodule. Also, we have obtained necessary and sufficient conditions for a module M with MICR to be cyclic or strongly cyclic.

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DEFERRED STRONGLY CESÀRO SUMMABLE AND STATISTICALLY CONVERGENT FUNCTIONS

  • Fatih, Nuray;Erdinc, Dundar;Ugur, Ulusu
    • Honam Mathematical Journal
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    • v.44 no.4
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    • pp.560-571
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    • 2022
  • In this paper, firstly we introduce the concepts of deferred Cesàro summable and deferred statistically convergent function, and secondly we introduce the concepts of deferred almost summable and deferred almost statistically convergent functions. Furthermore, we investigate the relations between these concepts.

Four Species of the Family Erebidae (Lepidoptera), New to Korea

  • Choi, Sei-Woong;Kim, Sung-Soo;Heo, Un-Hong;Kim, Nang-Hee;Jeon, Ju-A
    • Animal Systematics, Evolution and Diversity
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    • v.36 no.2
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    • pp.123-127
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    • 2020
  • This paper reports four species of Erebidae from the southern part of Korea: two Boletobiinae, Honeyania ragusana (Freyer, 1845), Enispa masuii Sugi, 1982, one Hermininae, Adrapsa ablualis Walker, 1859, and one Arctiinae, Stictane rectilinea (Snellen, 1879). Honeyania ragusana can be distinguished by the following: a blackish dot on the apex of the forewing with strongly curved medial lines, a long slender uncus and a strongly distally bifurcated valva with a large distally expanded costa and a thumb-shaped process of sacculus on the male genitalia as well as a sclerotized antrum, strongly tapered ductus bursae, and large corpus bursae on the female genitalia. Enispa masuii, a lichen feeder, can be distinguished by the whitish medial lines of the grayish fore- and hindwings, and a pair of rounded ball-shaped lamella antevaginalis, long, sclerotized ductus bursae, and pear-shaped corpus bursae without signum of the female genitalia. Adrapsa ablualis can be distinguished by the whitish medial lines of the fore- and hindwings and large medial process of the costa and dentate distal margin of the valva of the male genitalia. Stictane rectilinea can be distinguished by the broad dark grayish medial band of the forewing and the long knife-shaped valva with a strongly hooked process on the distal part of the sacculus of the male genitalia.

Screening for Antagonistic Plants for Control of Phytophthora spp. in Soil (토양중(土壤中)의 Phytophthora spp. 방제(防除)를 위한 길항식물(桔抗植物)의 탐색)

  • Paik, Su-Bong
    • The Korean Journal of Mycology
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    • v.17 no.1
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    • pp.39-47
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    • 1989
  • Among 100 species in 54 families of plants tested, leaf extracts from Allium cepa, Allium sativum, Malussieboldii, Reynoutria japonia and Rheum coreanum were inhibitory on mycelium growth of phytophthora spp.. Especially, Allium sativum and Malus sieboldii were strongly inhibitory. Allium sativum, Malussieboldii and Rhem coreanum were strongly inhibitory on zoosporangium germination of P. capsici. Malus sieboldii only were strongly inhibitory on zoosporangium germination of P. nicotiana and P. infestans.And Malus sieboldii were strongly effected on disease control of these pathogens. These results indicate the possibility of finding antagonistic plants in the nature for the control of certain pathogens in soil.

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Strongly Hamiltonian Laceability of Mesh Networks (메쉬 연결망의 강한 해밀톤 laceability)

  • Park Kyoung-Wook;Lim Hyeong-Seok
    • Journal of KIISE:Computer Systems and Theory
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    • v.32 no.8
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    • pp.393-398
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    • 2005
  • In interconnection networks, a Hamiltonian path has been utilized in many applications such as the implementation of linear array and multicasting. In this paper, we consider the Hamiltonian properties of mesh networks which are used as the topology of parallel machines. If a network is strongly Hamiltonian laceable, the network has the longest path joining arbitrary two nodes. We show that a two-dimensional mesh M(m, n) is strongly Hamiltonian laceabie, if $m{\geq}4,\;n{\geq}4(m{\geq}3,\;n{\geq}3\;respectively)$, and the number of nodes is even(odd respectively). A mesh is a spanning subgraph of many interconnection networks such as tori, hypercubes, k-ary n-cubes, and recursive circulants. Thus, our result can be applied to discover the fault-hamiltonicity of such networks.