• 제목/요약/키워드: f-

검색결과 38,266건 처리시간 0.054초

UNIQUENESS RESULTS ON MEROMORPHIC FUNCTIONS AND THEIR DIFFERENCE OPERATORS SHARING TARGETS WITH WEIGHT

  • Thu Thuy Hoang;Hong Nhat Nguyen;Duc Thoan Pham
    • 대한수학회보
    • /
    • 제60권2호
    • /
    • pp.461-473
    • /
    • 2023
  • Let f be a nonconstant meromorphic function of hyper-order strictly less than 1, and let c ∈ ℂ \ {0} such that f(z + c) ≢ f(z). We prove that if f and its exact difference ∆cf(z) = f(z + c) - f(z) share partially 0, ∞ CM and share 1 IM, then ∆cf = f, where all 1-points with multiplicities more than 2 do not need to be counted. Some similar uniqueness results for such meromorphic functions partially sharing targets with weight and their shifts are also given. Our results generalize and improve the recent important results.

Polylogarithms and Subordination of Some Cubic Polynomials

  • Manju Yadav;Sushma Gupta;Sukhjit Singh
    • Kyungpook Mathematical Journal
    • /
    • 제64권1호
    • /
    • pp.57-68
    • /
    • 2024
  • Let V3(z, f) and 𝜎(1)3(z, f) be the cubic polynomials representing, respectively, the 3rd de la Vallée Poussin mean and the 3rd Cesàro mean of order 1 of a power series f(z). If 𝒦 denotes the usual class of convex univalent functions in the open unit disk centered at the origin, we show that, in general, V3(z, f) ⊀ 𝜎(1)3(z,f), for all f ∈ 𝒦. Making use of polylogarithms, we identify a transformation, Λ : 𝒦 → 𝒦, such that V3(z, Λ(f)) ≺ 𝜎(1)3(z, Λ(f)) for all f ∈ 𝒦. Here '≺' stands for subordination between two analytic functions.

Normal Interpolation on AX = Y in CSL-algebra AlgL

  • Jo, Young Soo;Kang, Joo Ho
    • Kyungpook Mathematical Journal
    • /
    • 제45권2호
    • /
    • pp.293-299
    • /
    • 2005
  • Let ${\cal{L}}$ be a commutative subspace lattice on a Hilbert space ${\cal{H}}$ and X and Y be operators on ${\cal{H}}$. Let $${\cal{M}}_X=\{{\sum}{\limits_{i=1}^n}E_{i}Xf_{i}:n{\in}{\mathbb{N}},f_{i}{\in}{\cal{H}}\;and\;E_{i}{\in}{\cal{L}}\}$$ and $${\cal{M}}_Y=\{{\sum}{\limits_{i=1}^n}E_{i}Yf_{i}:n{\in}{\mathbb{N}},f_{i}{\in}{\cal{H}}\;and\;E_{i}{\in}{\cal{L}}\}.$$ Then the following are equivalent. (i) There is an operator A in $Alg{\cal{L}}$ such that AX = Y, Ag = 0 for all g in ${\overline{{\cal{M}}_X}}^{\bot},A^*A=AA^*$ and every E in ${\cal{L}}$ reduces A. (ii) ${\sup}\;\{K(E, f)\;:\;n\;{\in}\;{\mathbb{N}},f_i\;{\in}\;{\cal{H}}\;and\;E_i\;{\in}\;{\cal{L}}\}\;<\;\infty,\;{\overline{{\cal{M}}_Y}}\;{\subset}\;{\overline{{\cal{M}}_X}}$and there is an operator T acting on ${\cal{H}}$ such that ${\langle}EX\;f,Tg{\rangle}={\langle}EY\;f,Xg{\rangle}$ and ${\langle}ET\;f,Tg{\rangle}={\langle}EY\;f,Yg{\rangle}$ for all f, g in ${\cal{H}}$ and E in ${\cal{L}}$, where $K(E,\;f)\;=\;{\parallel}{\sum{\array}{n\\i=1}}\;E_{i}Y\;f_{i}{\parallel}/{\parallel}{\sum{\array}{n\\i=1}}\;E_{i}Xf_{i}{\parallel}$.

  • PDF

이면교배에 의한 황색종담배 (Nicotiana Tabacum L.)의 양적 형질에 대한 유전분석 - II. $F_1$$F_2$ 세대의 heterosis와 반수체의 특성 - (Diallel Analysis of Quantitative Characters of Flue-cured Tobacco Varieties (Nicotiana tabacum L. ) II. Heterosis of the $F_1$ and $F_2$ generation and the characters of haploids from $F_1$ hybrids and their parents)

  • 이승철
    • 한국연초학회지
    • /
    • 제4권2호
    • /
    • pp.23-30
    • /
    • 1982
  • Six flue- cured cultivars of Nicotiana tabacum L., 15 possible $F_1$ hybrids and $F_2$ Populations among them, and 15 haploid Populations from Fl hybrids and haploids from Parents, were evaluated. Comparisons of the $F_1$, hybrids and $F_2$ Populations with the Parents indicated that heterosis values were small but significant for yield, plant height, days to flower, leaf length and width and total alkaloids from-6.0% to 5.4% in $F_1$ hybrids, and from -3.4% to 3.6% for Plant height days to flower leaves per plant in $F_2$ populations, respectively. There were positive correlations for yield, plant height, days to flower, leaves per plant and total alkaloids between diploid and haploid populations. Increase or decrease ratio of haploids to diploids of total alkaloids was appeared to 30.3%. Those for yield, leaf length and width, value arid reducing sugar were ranged from -4.1% to -27.6%.

  • PDF

F0 Extrema Timing of HL and LH in North Kyungsang Korean: Evidence from a Mimicry Task

  • Kim, Jung-Sun
    • 말소리와 음성과학
    • /
    • 제4권3호
    • /
    • pp.43-49
    • /
    • 2012
  • This paper describes the categorical effects of pitch accent contrasts in a mimicry task. It focuses, specifically, on examining how fundamental frequency (f0) variation reflects phonological contrasts from speakers of two distinct varieties of Korean (i.e., North Kyungsang and South Cholla). The results showed that, in a mimicry task using synthetic speech continua, there was a categorical effect in f0 peak timing for North Kyungsang speakers, but the timing of f0 peaks and valleys in the responses of South Cholla speakers was more variable, presenting a gradient or non-categorical effect. Evidence of categorical effects was represented as the shift of f0 peak times along an acoustic continuum for North Kyungsang speakers. The range for the shift of f0 valley times was much narrower, compared to that of f0 peak times. The degree of a shift near the middle of the continuum showed variability across individual mimicry responses. However, the categorical structure in mimicry responses regarding the clustering of f0 peak points was more significant for North Kyungsang speakers than for South Cholla speakers. Additionally, the finding of the current study implies that the location of f0 peak times depends on individuals' imitative (or cognitive) abilities.

불순물 $MgCl_2$를 첨가한 LiF 분말의 열형광 (Thermoluminescence of $MgCl_2$-Activated LiF Powder)

  • 이계철;이상수
    • Nuclear Engineering and Technology
    • /
    • 제2권4호
    • /
    • pp.269-272
    • /
    • 1970
  • 순도 99.98%의 LiF 분말에서 열형광을 검출하였으며 이 때 glow curve의 Peak는 12$0^{\circ}C$, 22$0^{\circ}C$ 및 30$0^{\circ}C$에 있다. 이 LiF 분말에 중량비로 2%(mol 비로 4%)의 MgC1$_2$를 첨가하여 소결시킨 LiF 분말은 비약적으로 강한 열형광을 발휘하였으며 그 flow curve의 특성이 상세하게 조사되었다. 열형광선량계로서 이용되고 있는 LiF는 Mg, Mn 등의 불순물에 의한 전자 trap을 가지고 있는 것이 알려져 있으며 이 실험결과는 이들 불순물중의 하나인 Mg가 확실히 LiF의 결정내에 확신된 것을 시사한다. 소결시간의 효과를 glow curve에서 명확하게 검출하였고 또한 원료인 MgC1$_2$도 열형광을 발휘한다는 것이 이 glow curve를 얻음으로써 확인되었다.

  • PDF

CaF2 두께 변화에 따른 ZnS/CaF2/ZnS/Cu 다층 박막의 광특성 (Optical Characteristics of ZnS/CaF2/ZnS/Cu with Different Optical Thickness of CaF2 Layer)

  • 김준식;장건익
    • 한국전기전자재료학회논문지
    • /
    • 제22권7호
    • /
    • pp.584-588
    • /
    • 2009
  • Layered ZnS/$CaF_2$/ZnS/Cu film was deposited on glass substrate by using evaporation method. ZnS and $CaF_2$ were chosen as high and low refractive materials. Cu was used as mid-reflective layer. Reflectance with different optical thickness of $CaF_2$ ranging from $0.25{\lambda}\;to\;0.5{\lambda}$ were systematically investigated by using spectrophotometer. In order to expect the experimental results, the simulation program, the Essential Macleod Program(EMP) was adopted and compared with the experimental data. Based on the results taken by spectrophotometer, the ZnS/$CaF_2$/ZnS/Cu multi-layered thin film show the maximum reflectance of 80% at 625nm $(0.25{\lambda}\;in\;CaF_2)$ and 42% at 660nm $(0.5{\lambda}\;in\;CaF_2)$ respectively. As compared with the experimental results and simulation data, it was confirmed the experimental data is well matched with the EMP data.

k-PRIME CORDIAL GRAPHS

  • PONRAJ, R.;SINGH, RAJPAL;KALA, R.;NARAYANAN, S. SATHISH
    • Journal of applied mathematics & informatics
    • /
    • 제34권3_4호
    • /
    • pp.227-237
    • /
    • 2016
  • In this paper we introduce a new graph labeling called k-prime cordial labeling. Let G be a (p, q) graph and 2 ≤ p ≤ k. Let f : V (G) → {1, 2, . . . , k} be a map. For each edge uv, assign the label gcd (f(u), f(v)). f is called a k-prime cordial labeling of G if |vf (i) − vf (j)| ≤ 1, i, j ∈ {1, 2, . . . , k} and |ef (0) − ef (1)| ≤ 1 where vf (x) denotes the number of vertices labeled with x, ef (1) and ef (0) respectively denote the number of edges labeled with 1 and not labeled with 1. A graph with a k-prime cordial labeling is called a k-prime cordial graph. In this paper we investigate the k-prime cordial labeling behavior of a star and we have proved that every graph is a subgraph of a k-prime cordial graph. Also we investigate the 3-prime cordial labeling behavior of path, cycle, complete graph, wheel, comb and some more standard graphs.

[18F]Labeled 2-nitroimidazole derivatives for hypoxia imaging

  • Seelam, Sudhakara Reddy;Lee, Yun-Sang;Jeong, Jae Min
    • 대한방사성의약품학회지
    • /
    • 제2권2호
    • /
    • pp.73-83
    • /
    • 2016
  • Imaging hypoxia using positron emission tomography (PET) is of great importance for cancer therapy. [$^{18}F$] Fluoromisonidazole (FMISO) was the first PET agent used for imaging tumor hypoxia. Various radiolabeled nitroimidazole derivatives such as [$^{18}F$]fluoroerythronitroimidazole (FETNIM), [$^{18}F$]1-${\alpha}$-D-(2-deoxy-2-fluoroarabinofuranosyl)-2-nitroimidazole(FAZA), 2-(2-nitroimidazol-1-yl)-N-(3,3,3-[18F]-trifluoropropyl)acetamide ([$^{18}F$]EF-3), [$^{18}F$]2-(2-nitro-1H-imidazol-1-yl)-N-(2,2,3,3,3-pentafluoropropyl) acetamide (EF-5), 3-[$^{18}F$]fluoro-2-(4-((2-nitro-1H-imidazol-1-yl)methyl)-1H-1,2,3,-triazol-1-yl)-propan-1-ol ([$^{18}F$]HX-4), and [$^{18}F$]fluoroetanidazole (FETA) were developed successively. However, these imaging agents still produce PET images with limited resolution; the lower blood flow in hypoxic tumors compared to normoxic tumors results in low uptake of the agents in hypoxic tumors. Thus, the development of better imaging agents is necessary.

RF MOSFET의 단위 Finger 폭에 대한 $f_T$$f_{max}$ 종속성 분석 (Analysis of $f_T$ and $f_{max}$ Dependence on Unit Finger Width for RF MOSFETs)

  • 차지용;차준영;정대현;이성현
    • 대한전자공학회:학술대회논문집
    • /
    • 대한전자공학회 2008년도 하계종합학술대회
    • /
    • pp.389-390
    • /
    • 2008
  • The dependence of $f_T$ and $f_{max}$ on the unit finger width is measured and analyzed for $0.13{\mu}m$ MOSFETs. The increase of $f_T$ at narrow width is attributed by the parasitic gate-bulk capacitance, and the decrease of $f_T$ at wide width is generated by the reduction of increasing rate of $g_{mo}$. The increase of $f_{max}$ at narrow width is originated from the abrupt reduction of gate resistance due to the non-quasi-static effect. These analysis results will be valuable information for layout optimization to improve $f_T$ and $f_{max}$.

  • PDF