• Title/Summary/Keyword: Difference Sequences

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New Cyclic Difference Sets with Singer Parameters Constructed from d-Homogeneous Functions (d-동차함수로부터 생성된 Singer 파라미터를 갖는 새로운 순회차집합)

  • 노종선
    • Journal of the Korea Institute of Information Security & Cryptology
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    • v.12 no.1
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    • pp.21-32
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    • 2002
  • In this paper, for any prime q, new cyclic difference sets with Singer parameter equation omitted are constructed by using the q-ary sequences (d-homogeneous functions) of period $q_n$-1. When q is a power of 3, new cyclic difference sets with Singer parameter equation omitted are constructed from the ternary sequences of period $q_n$-1 with ideal autocorrealtion found by Helleseth, Kumar and Martinsen.

Lacunary Statically Convergent and Lacunary Strongly Convergent Generalized Difference Sequences of Fuzzy Real Numbers

  • Tripathy, Binod Chandra;Baruah, Achyutanada
    • Kyungpook Mathematical Journal
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    • v.50 no.4
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    • pp.565-574
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    • 2010
  • In this paper we introduce the concept of lacunary statistical and lacunary strongly convergence of generalized difference sequence of fuzzy real numbers. We prove some inclusion relations and also study some of their properties.

ROUGH STATISTICAL CONVERGENCE OF DIFFERENCE DOUBLE SEQUENCES IN NORMED LINEAR SPACES

  • KISI, Omer;UNAL, Hatice Kubra
    • Honam Mathematical Journal
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    • v.43 no.1
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    • pp.47-58
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    • 2021
  • In this paper, we introduce rough statistical convergence of difference double sequences in normed linear spaces as an extension of rough convergence. We define the set of rough statistical limit points of a difference double sequence and analyze the results with proofs.

A new method of Extracting the Filter Characteristics of the Nasal Cavity Using Homorganic Nasal-Stop Sequences: A Preliminary Report (동기관음의 스펙트럼 차이를 이용한 비강 특성 산출: 예비 연구)

  • Park, Han-Sang
    • MALSORI
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    • no.53
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    • pp.17-35
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    • 2005
  • A New Method of Extracting the Filter Characteristics of the Nasal Cavity Using Homorganic Nasal-Stop Sequences: A Preliminary R eportHansang ParkThis study provides a new method of extracting the filter characteristics of the nasal cavity. Korean lenis stops are realized as voiced in the homorganic nasal-lenis stop sequences between vowels. Since the only difference between the two members of the homorganic nasal- lenis stop sequences, such as [mb], [nd], and [ g], is whether the passage to the nasal cavity is open or not, the subtraction of the LPC spectrum of the voiced stop from that of the preceding nasal leads to the filter characteristics of the nasal cavity of an individual speaker regardless of place of articulation. The results suggest that various attempts should be made to extract a robust filter characteristics of the nasal cavity by giving variation to LPC coefficients and by paying particular attention to speech samples. This study is significant in that it provides a preliminary report about a new method of extracting the filter characteristics of the nasal cavity.

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Phylogenetic analysis of pleurotus species based on the nuclear SSU rRNA sequences

  • Jeong, Jae-Hoon;Kim, Eun-Kyoung;Roe, Jung-Hye
    • Journal of Microbiology
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    • v.34 no.1
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    • pp.38-39
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    • 1996
  • The internal regions of nuclear small subunit rRNA from 6 plaeurotus species and 5 Pleurotus ostreatus strains were amplified by PCR and sequenced. The DNA sequences of 8 Pleurotus strains (P. ostreatus NFFA2, NFFA4501, NFFA4001, KFFA4001, KFCC11635, P florida, P. florida, P. sajor-cuju, P. pulmonarius, and P. spodoleucus) were idential, but P. cornucopiae differed from them in two bases out of 605 bases. However, p[hylogenetic analysis of the sequences by DNA-distance matrix and UPGMA methods showed that P. ostreatus NFFA2m1 and NFFA2m2, known as mutants of P. ostreatus NFFA2, belonged to anther group of Basidiomycotina, which is close to the genus Auricularia. The difference of the SSU rDNA sequences of P. cornucopiae from other Pleurotus species tested corresponds to the difference of mitochondrial plasmid type present in Pleurotus species as observed by Kim et al. (1993, Korean J. Microbiol. 31, 141-147).

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Effect of Xylanase Pre-and Post-Treatment on oxygen Bleaching of Oak Kraft Pulp

  • Kim, Dong-Ho;Paik, Ki-Hyon
    • Proceedings of the Korea Technical Association of the Pulp and Paper Industry Conference
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    • 1999.11a
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    • pp.194-204
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    • 1999
  • The use of genetically cloned xylanase acquired from Bacillus strearthermophillus improves bleachability for oak kraft pulps. Combination of xylanase(X). oxygen(O), ozone(Z). peroxide(P), alkaline extraction(Eo. Eop), and chlorination(C/D, D) have been tested in a variety of bleaching sequences. The effectiveness of xylanase pre-treatment(XO) and post-treatment(OX) in oxygen bleaching is mainly compared. With xylanase treatment the brightness increase by 1.5-2.1% ISO in OZEP, OZEoP, OZEopP and OPZP sequences. There is only numerically difference of brightness gains between OX and XO sequences. With xylanase treatment chemical requirements for bleaching decrease by 42.6-48.6% in OC/DEoD sequence and 47.9-54.7% as active chlorine in OC/DEopD sequence at the same brightness. the reduction of bleaching chemicals is higher in XO sequence than those in OX sequence. Following xylanase treatment the viscosity increases from 11.7-12.0 mPa·s to 12.4-13.5 mPa·s and the brightness stability is considerably improved however the difference of effectiveness between XO and OX sequence is not present. Compared to tensile index vs tear index, the physical properties are similar for TCF bleaching sequences with and without xylanase treatments. However in OC/DEoD and OC/DEopD sequences the physical properties decrease with xylanase treatment. There is no difference in the physical properties between XO and OX sequences. COD, BOD and color of bleaching effluents increase slightly with xylanase treatment, however the discharge of COD end-load into environmental impact decrease.

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ON THE LINEAR EQUIVALENCE OF SEQUENCES IN HILBERT SPACES

  • TARIQ QAWASMEH;RAED HATAMLEH;BELAL BATIHA;AHMED SALEM HEILAT
    • Journal of applied mathematics & informatics
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    • v.42 no.2
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    • pp.237-243
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    • 2024
  • A similarity transformation of a solution of the Cauchy problem for the linear difference equation in Hilbert space has been studied. In this manuscript, we obtain necessary and sufficient conditions for linear equivalence of the discrete semigroup of operators, generated by the solution of the difference equation utilizing four Canonical semigroups.

On Some Spaces Isomorphic to the Space of Absolutely q-summable Double Sequences

  • Capan, Husamettin;Basar, Feyzi
    • Kyungpook Mathematical Journal
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    • v.58 no.2
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    • pp.271-289
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    • 2018
  • Let 0 < q < ${\infty}$. In this study, we introduce the spaces ${\mathcal{BV}}_q$ and ${\mathcal{LS}}_q$ of q-bounded variation double sequences and q-summable double series as the domain of four-dimensional backward difference matrix ${\Delta}$ and summation matrix S in the space ${\mathcal{L}}_q$ of absolutely q-summable double sequences, respectively. Also, we determine their ${\alpha}$- and ${\beta}-duals$ and give the characterizations of some classes of four-dimensional matrix transformations in the case 0 < q ${\leq}$ 1.

On the 3-Ranks and Characteristic Polynomials of HKN and Lin Difference Sets

  • Jong-Seon No;Dong-Joon Shin
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.26 no.7A
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    • pp.1257-1263
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    • 2001
  • In the paper, the p-ranks and characteristics polynomials of cyclic difference sets are derived by expanding the trace expression of their characteristic sequences. By using this method, it is shown that the 3-ranks and characteristic polynomials of Helleseth-Kumar-Martinsen (HKM) difference set and Lin difference set can be easily obtained.

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