• Title/Summary/Keyword: natural order

Search Result 6,745, Processing Time 0.039 seconds

New Records of Four Hydroids (Cnidaria: Hydrozoa) in Korea

  • Park, Jung-Hee
    • Animal Systematics, Evolution and Diversity
    • /
    • v.23 no.1
    • /
    • pp.51-56
    • /
    • 2007
  • Some hydroid specimens were collected from Jejudo Island (Seogwipo, Biyangdo, Marado, Mundo) by SCUBA diving. They were identified into Pennaria disticha Goldfuss, 1820 of the order Athecatae, and Hydrodendron leloupi Hirohito, 1983; Nemertesia ciliata Bale, 1914; Haliaria vegae $J\"{a}derholm$, 1903 of the order Thecatae. They were new to the Korean fauna.

EXISTENCE OF n POSITIVE SOLUTIONS TO SECOND-ORDER MULTI-POINT BOUNDARY VALUE PROBLEM AT RESONANCE

  • Wang, Feng;Zhang, Fang
    • Bulletin of the Korean Mathematical Society
    • /
    • v.49 no.4
    • /
    • pp.815-827
    • /
    • 2012
  • The existence of $n$ positive solutions is established for second order multi-point boundary value problem at resonance where $n$ is an arbitrary natural number. The proof is based on a theory of fixed point index for A-proper semilinear operators defined on cones due to Cremins.

Electronically Tunable Current-Mode Second-Order Multifunctional Filter Using FTFNs and Dual-Output OTAs

  • Tangsrirat, Worapong;Anuntahirunrat, Kongsak;Surakampontorn, Wanlop
    • 제어로봇시스템학회:학술대회논문집
    • /
    • 2001.10a
    • /
    • pp.99.2-99
    • /
    • 2001
  • An electronically tunable current-mode second-order multifunctional filter is described in this paper. The proposed filter consists of two four-terminal floating nullors (FTFNs), two dual-output OTAs and two grounded capacitors. The circuit can simultaneously realize the lowpass, bandpass and highpass current transfer functions from the same configuration without changing the circuit configuration and elements. The natural angular frequency we and the parameter wo/Q can be orthogonally controlled through adjusting the transconductance gain of OTA. PSPICE simulation results are employed to confirm the circuit performance.

  • PDF

AN EXTRAPOLATED CRANK-NICOLSON CHARACTERISTIC FINITE ELEMENT METHOD FOR NONLINEAR SOBOLEV EQUATIONS

  • OHM, MI RAY;SHIN, JUN YONG
    • Journal of applied mathematics & informatics
    • /
    • v.36 no.3_4
    • /
    • pp.257-270
    • /
    • 2018
  • An extrapolated Crank-Nicolson characteristic finite element method is introduced for approximate solutions of nonlinear Sobolev equations with a convection term. And we obtain the higher order of convergence for approximate solutions in the temporal and the spatial directions with respect to $L^2$ norm.

A GENERAL FORM OF MULTI-STEP ITERATIVE METHODS FOR NONLINEAR EQUATIONS

  • Oh, Se-Young;Yun, Jae-Heon
    • Journal of applied mathematics & informatics
    • /
    • v.28 no.3_4
    • /
    • pp.773-781
    • /
    • 2010
  • Recently, Yun [8] proposed a new three-step iterative method with the fourth-order convergence for solving nonlinear equations. By using his ideas, we develop a general form of multi-step iterative methods with higher order convergence for solving nonlinear equations, and then we study convergence analysis of the multi-step iterative methods. Lastly, some numerical experiments are given to illustrate the performance of the multi-step iterative methods.

A NEW CLASS OF INTERPOLATORY HERMITE SUBDIVISION SCHEMES REPRODUCING POLYNOMIALS

  • Jeong, Byeongseon
    • East Asian mathematical journal
    • /
    • v.38 no.3
    • /
    • pp.365-377
    • /
    • 2022
  • In this paper, we present a new class of interpolatory Hermite subdivision schemes of order 2 reproducing polynomials. Each member in this class, denoted by Hn for n ≥ 1, preserves polynomials of degree up to 4n + 1 admitting the approximation order of 4n + 2. Furthermore, it has free parameters which provide flexibility in designing curves/surfaces. H1, the simplest and the most attractive scheme in this class, achieves C4 smoothness with the parameters in certain ranges, and its performance is demonstrated with numerical examples.

Group Orders That Imply a Nontrivial p-Core

  • Rafael, Villarroel-Flores
    • Kyungpook Mathematical Journal
    • /
    • v.62 no.4
    • /
    • pp.769-772
    • /
    • 2022
  • Given a prime number p and a natural number m not divisible by p, we propose the problem of finding the smallest number r0 such that for r ≥ r0, every group G of order prm has a non-trivial normal p-subgroup. We prove that we can explicitly calculate the number r0 in the case where every group of order prm is solvable for all r, and we obtain the value of r0 for a case where m is a product of two primes.